https://github.com/beliavsky/fortran-related-books

Books with Fortran code, other than textbooks
https://github.com/beliavsky/fortran-related-books

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Books with Fortran code, other than textbooks

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# Fortran-related books

Books with Fortran code, other than Fortran textbooks. This branched from the Related Books section of the [Fortran Wiki](http://fortranwiki.org/fortran/show/Books). If you have a book suggestion or if the code of a book is available but not linked here, please create an issue.

Aarseth, Sverre J (2009). [Gravitational N-Body Simulations: Tools and Algorithms](https://www.cambridge.org/us/academic/subjects/physics/astrophysics/gravitational-n-body-simulations-tools-and-algorithms). Cambridge University Press. Code [here](https://people.ast.cam.ac.uk/~sverre/web/pages/nbody.htm), and a descendant is [Nbody6++GPU](https://github.com/nbody6ppgpu/Nbody6PPGPU-beijing)

Akaike, Hirotsugu (1975). [TIMSAC-74, a time series analysis and control program package](https://www.amazon.com/TIMSAC-74-analysis-control-Computer-monographs/dp/B0007B3OIW/fortran-wiki-20). Institute of Statistical Mathematics. R package [timsac: Time Series Analysis and Control](https://cran.r-project.org/web/packages/timsac/index.html) has Fortran code.

Akin, J. E. (1994). [Finite Elements for Analysis and Design](https://www.sciencedirect.com/book/9780080506470/finite-elements-for-analysis-and-design). Academic Press

Alexandrou, Andreas N. (2001). [Principles of Fluid Mechanics](https://www.pearson.com/us/higher-education/program/Alexandrou-Principles-of-Fluid-Mechanics/PGM211531.html). Prentice-Hall

Algazin, Sergey D., and Igor A. Kijko (2015). [Aeroelastic Vibrations and Stability of Plates and Shells](https://www.degruyter.com/document/doi/10.1515/9783110338379/html). De Gruyter

Allen, Michael P. and Dominic J. Tildesley (2017). [Computer Simulation of Liquids, 2nd. ed.](https://global.oup.com/academic/product/computer-simulation-of-liquids-9780198803195?cc=us&lang=en&). Oxford University Press. code at [GitHub](https://github.com/Allen-Tildesley/examples)

Anagnostopoulos, Konstantinos (2016). [Computational Physics](http://www.physics.ntua.gr/konstant/ComputationalPhysics/). freely available in Fortran and C++ versions

Angell, Ian O., and Gareth Griffith (1987). [High-resolution Computer Graphics Using FORTRAN 77](https://link.springer.com/book/10.1007/978-1-349-18644-0). Palgrave Macmillan

Antia, H.M. (2012). [Numerical methods for scientists and engineers, 3rd ed.](https://www.tifr.res.in/~antia/nmse3.html) Hindustan Book Agency.

Axelrod, Robert (1998). [The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration](http://www-personal.umich.edu/~axe/research/Software/ComplexCoop.html). Princeton University Press. Code [here](http://www-personal.umich.edu/~axe/research/Software/CC/CC2.html)

Bagirov, Adil, Napsu Karmitsa, and Marko M. Mäkelä (2014). [Introduction to Nonsmooth Optimization: Theory, Practice and Software](http://napsu.karmitsa.fi/). Springer

Bagirov, Adil, M. Gaudioso, N. Karmitsa, M. M. Mäkelä, and S. Taheri, (Eds.), (2020). [Numerical Nonsmooth Optimization: State of the Art Algorithms](http://napsu.karmitsa.fi/). Springer

Bagirov, Adil, Napsu Karmitsa, and Sona Taheri (2020). [Partitional Clustering via Nonsmooth Optimization](http://napsu.karmitsa.fi/). Springer

Bánhelyi, Balázs, Tibor Csendes, Balázs Lévai, László Pál, and Dániel Zombori (2018). [The GLOBAL Optimization Algorithm: Newly Updated with Java Implementation and Parallelization](https://link.springer.com/book/10.1007/978-3-030-02375-1). Springer. Fortran 90 code [here](https://jblevins.org/mirror/amiller/global.f90) and original Fortran code [here](https://www.inf.u-szeged.hu/~csendes/Reg/regform.php)

Barrett, Richard, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk van der Vorst (1994). [Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, 2nd ed](https://www.netlib.org/linalg/html_templates/Templates.html). SIAM. Code [here](https://www.netlib.org/templates/)

Bartschat, Klaus (Ed.) (1996). [Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions](https://www.springer.com/us/book/9783642646553). Springer

Bathe, Klaus-Jurgen (2014). [Finite Element Procedures, 2nd ed.](https://www.amazon.com/Finite-Element-Procedures-Klaus-J%C3%BCrgen-Bathe/dp/0979004950). Prentice Hall. Text [here](https://web.mit.edu/kjb/www/Books/FEP_2nd_Edition_4th_Printing.pdf) Related code [ADINA](http://www.adina.com/educ.shtml), [OpenSTAP](https://github.com/HaoguangYang/OpenSTAP), and [STAP90](https://github.com/weixiao-huang/STAP90)

Beer, Gernot, Ian Smith, and Christian Duenser (2008). [The Boundary Element Method with Programming For Engineers and Scientist](https://www.springer.com/us/book/9783211715741). Springer

Beer, Gernot (2001). [Programming the Boundary Element Method: An Introduction for Engineers](https://www.wiley.com/en-us/Programming+the+Boundary+Element+Method%3A+An+Introduction+for+Engineers-p-9780471863335). Wiley

Belytschko, Ted, Wing Kam Liu, Brian Moran and Khalil Elkhodary (2013). [Nonlinear Finite Elements for Continua and Structures, 2nd Edition](https://www.wiley.com//legacy/wileychi/belytschko_nonlinear/). Wiley

Berg, Bernd A (2004). [Markov Chain Monte Carlo Simulations and Their Statistical Analysis – With Web-Based Fortran Code](https://www.worldscientific.com/worldscibooks/10.1142/5602). World Scientific

Bertsekas, Dimitri P. (1991) [Linear Network Optimization: Algorithms and Codes](https://web.mit.edu/dimitrib/www/LNets_Full_Book.pdf). MIT Press. Code [here](https://web.mit.edu/dimitrib/www/lopnet.txt)

Bertsekas, Dimitri P. (1998) [Network Optimization: Continuous and Discrete Models](http://www.athenasc.com/netbook.html) Athena Scientific

Bestehorn, Michael (2018). [Computational Physics With Worked Out Examples in FORTRAN and MATLAB](https://www.degruyter.com/document/doi/10.1515/9783110515145/html). De Gruyter

Bhatt, Prab (2003). [Programming the Dynamic Analysis of Structures](https://www.routledge.com/Programming-the-Dynamic-Analysis-of-Structures/Bhatt/p/book/9780367863494). CRC

Bierman, Gerald J. (1977). [Factorization Methods for Discrete Sequential Estimation](https://store.doverpublications.com/0486449815.html) Academic Press. (contains Fortran pseudo-code for numerically stable Kalman filters). The code in [esl.tgz from Netlib](https://www.netlib.org/a/) does estimation and smoothing by UDU**T and square root information filter SRIF for Kalman filtering.

Birgin, E.G., and J. M. Martínez (2014). [Practical Augmented Lagrangian Methods for Constrained Optimization](https://www.ime.usp.br/~egbirgin/tango/publications.php). SIAM

Blazek, Jiri (2015). [Computational Fluid Dynamics: Principles and Applications, 3rd ed.](https://booksite.elsevier.com/9780080999951/). Butterworth-Heinemann

Bloomfield, Peter (1976). [Fourier Analysis of Time Series, 1st ed.](https://books.google.com/books?id=UtpQAAAAMAAJ&source=gbs_book_other_versions). First edition has Fortran code, the 2nd edition, published in 2000, has S-PLUS code.

Boor, Carl de (1978). [A Practical Guide to Splines](https://www.springer.com/gp/book/9780387953663). Springer. Original code [here](https://pages.cs.wisc.edu/~deboor/pgs/), PPPACK Fortran 90 code [here](https://people.sc.fsu.edu/~jburkardt/f_src/pppack/pppack.html)

Bose, Sujit Kumar (2019). [Numerical Methods of Mathematics Implemented in Fortran](https://www.springer.com/gp/book/9789811371134). Springer. reviewed [here](https://www.maa.org/press/maa-reviews/numerical-methods-of-mathematics-implemented-in-fortran)

Bowyer, Adrian, and John Woodwark (1983). [A Programmer's Geometry](https://www.biblio.com/a-programmers-geometry-by-adrian-bowyer-john-woodwark/work/1845106). Butterworths

Boyd, John P. (2001). [Chebyshev and Fourier Spectral Methods](https://store.doverpublications.com/0486411834.html). Dover. Modified code [here](https://gist.github.com/ivan-pi/1b476dabd11b651fc2ea6e4fd0c11289)

Brandt, Siegmund (1999). [Data Analysis: Statistical and Computational Methods for Scientists and Engineers](https://www.springer.com/gp/book/9780387984988). Springer

Bratley, Paul, Bennet L. Fox, and Linus E. Schrage (1987). [A Guide to Simulation, 2nd. ed.](https://www.springer.com/us/book/9780387964676). Springer.

Brázdová, Veronika, and David R. Bowler (2013). [Atomistic Computer Simulations: A Practical Guide](http://davidbowler.github.io/AtomisticSimulations/index.html). Wiley.

Brent, Richard (1973). [Algorithms for Minimization without Derivatives](https://maths-people.anu.edu.au/~brent/pub/pub011.html). Prentice-Hall, reprinted by [Dover](https://store.doverpublications.com/0486419983.html) in 2002. Code by John Burkardt [here](https://people.math.sc.edu/Burkardt/f_src/brent/brent.html).

Bretthorst, G. Larry (1988), [Bayesian Spectrum Analysis and Parameter Estimation](https://bayes.wustl.edu/glb/book.pdf). Springer. Code is in Appendix E.

Brezinski, Claude, and Michela Redivo Zaglia (1991). [Extrapolation methods, theory and practice](https://www.sciencedirect.com/bookseries/studies-in-computational-mathematics/vol/2). North-Holland. Code [here](https://www.math.unipd.it/~michela/extracode/ExtraCode.zip).

Britz, Dieter, and Jörg Strutwolf (2016). [Digital Simulation in Electrochemistry](https://www.springer.com/us/book/9783319302904). Springer. Appendix E describes a number of example programs in Fortran.

Burden, Richard, L., J. Douglas Faires and Annette M. Burden (2016). [Numerical Analysis, 10th ed.](https://www.cengage.com/c/numerical-analysis-10e-burden/9781305253667PF/). Cengage. FORTRAN 77 code [here](https://sites.google.com/site/numericalanalysis1burden/home)

Burkard, Rainer E., and Ulrich Derigs (1980). [Assignment and Matching Problems: Solution Methods with FORTRAN-Programs](https://link.springer.com/book/10.1007/978-3-642-51576-7). Springer. Code [here](https://people.sc.fsu.edu/~jburkardt/f77_src/lamp/lamp.html)

Castellanos, Kenneth, Andrew Feltenstein,  and Gohar Sedrakyan (2024). [Computable General Equilibrium Modeling: Theory and Applications](https://www.routledge.com/Computable-General-Equilibrium-Modeling-Theory-and-Applications/Castellanos-Feltenstein-Sedrakyan/p/book/9780367272050). Routledge

Chandra, Prabir K., and R. Paul Singh (1994). [Applied Numerical Methods for Food and Agricultural Engineers](https://www.routledge.com/Applied-Numerical-Methods-for-Food-and-Agricultural-Engineers/Chandra-Singh/p/book/9780849324543). CRC Press

Chandra, Rohit, Ramesh Menon, Leo Dagum, David Kohr, Dror Maydan, and Jeff McDonald (2000). [Parallel Programming in OpenMP](https://www.elsevier.com/books/parallel-programming-in-openmp/chandra/978-1-55860-671-5). Morgan Kaufmann

Chandrasekaran, Sunita, and Guido Juckeland (2017). [OpenACC for Programmers: Concepts and Strategies](https://www.informit.com/store/openacc-for-programmers-concepts-and-strategies-9780134694283). Addison-Wesley. Code [here](https://github.com/OpenACCUserGroup/openacc_concept_strategies_book).

Chapman, Barbara *et al.* (2007). [Using OpenMP - Portable Shared Memory Parallel Programming](http://fortranwiki.org/fortran/show/Using+OpenMP+-+Portable+Shared+Memory+Parallel+Programming). MIT Press

Chen, W. F., and S. Toma (1994). [Advanced Analysis of Steel Frames: Theory, Software, and Applications](https://www.routledge.com/Advanced-Analysis-of-Steel-Frames-Theory-Software-and-Applications/Chen/p/book/9781315890418). CRC Press

Chen, W. F., and I. Sohal (1995). [Plastic Design and Second-Order Analysis of Steel Frames](https://link.springer.com/book/10.1007/978-1-4613-8428-1). Springer

Cheney, Ward and David Kincaid (2012). [Numerical Mathematics and Computing, 7th ed.](https://web.ma.utexas.edu/CNA/NMC7/). Brooks/Cole: Cengage Learning

Ching, Wai-Yim, and Paul Rulis (2012). [Electronic Structure Methods for Complex Materials: The orthogonalized linear combination of atomic orbitals](https://academic.oup.com/book/34699). Oxford University Press. Code [here](https://github.com/UMKC-CPG/olcao).

Chung, T. J. (2010). [Computational Fluid Dynamics, 2nd ed.](https://www.cambridge.org/ar/academic/subjects/engineering/thermal-fluids-engineering/computational-fluid-dynamics-2nd-edition?format=HB&isbn=9780521769693). Cambridge University Press

Clerman, Norman S. and Spector, Walter (2011). [Modern Fortran - Style and Usage](http://fortranwiki.org/fortran/show/Modern+Fortran+-+Style+and+Usage). Cambridge University Press. [reviewed](https://www.jstatsoft.org/article/view/v047b01) in the Journal of Statistical Software

Cody, William, and William Waite (1980). [Software Manual for the Elementary Functions](https://www.amazon.com/Elementary-Functions-Prentice-Hall-computational-mathematics/dp/0138220646). Prentice Hall. Code at Waite's [site](https://ecee.colorado.edu/~waite/pubs/math/Elefunt.html)

Coker, A. Kayode (1995). [Fortran Programs for Chemical Process Design, Analysis, and Simulation](https://www.elsevier.com/books/fortran-programs-for-chemical-process-design-analysis-and-simulation/coker/978-0-88415-280-4). Gulf Professional

Conte, S. D., and Carl de Boor (2017). [Elementary Numerical Analysis: An Algorithmic Approach](https://epubs.siam.org/doi/book/10.1137/1.9781611975208). SIAM. Fortran code [here](https://pages.cs.wisc.edu/~deboor/contedb_fortran.zip), Matlab code [here](https://pages.cs.wisc.edu/~deboor/contedb_mfiles.zip). 

Cook, Robert D., David S. Malkus, Michael E. Plesha, and Robert J. Witt (2001). [Concepts and Applications of Finite Element Analysis, 4th ed.](https://www.amazon.com/Concepts-Applications-Finite-Element-Analysis/dp/0471356050). Wiley

Crawley, Stanley W., and Robert M. Dillon (1993) [Steel Buildings: Analysis and Design, 4th ed.](https://www.amazon.com/Steel-Buildings-Analysis-Stanley-Crawley/dp/0471842982/fortran-wiki-20). Wiley

Cullum, Jane K. and Ralph A. Willoughby (1985) [Lanczos Algorithms for Large Symmetric Eigenvalue Computations: Vol. I: Theory](https://epubs.siam.org/doi/book/10.1137/1.9780898719192). Birkhauser. Code and text of 2nd volume at [Netlib](http://www.netlib.org/lanczos/)

Curotto, Emanuele (2009). [Stochastic Simulations of Clusters: Quantum Methods in Flat and Curved Spaces](https://www.routledge.com/Stochastic-Simulations-of-Clusters-Quantum-Methods-in-Flat-and-Curved-Spaces/Curotto/p/book/9781420082258). CRC

Dagpunar, John (1988). [Principles of Random Variate Generation](https://www.amazon.com/Principles-Random-Variate-Generation-Dagpunar/dp/0198522029/fortran-wiki-20). Oxford University Press. Related Fortran 90 [code](https://jblevins.org/mirror/amiller/random.f90) from Alan Miller.

Date, Anil W. (2005). [Introduction to Computational Fluid Dynamics](https://www.cambridge.org/core/books/introduction-to-computational-fluid-dynamics/DAE7132CD57EA9D487BECEE529B86A7E). Cambridge University Press

Davies, R.G. (1971). [Computer Programming in Quantitative Biology](https://www.elsevier.com/books/computer-programming-in-quantitative-biology/davies/978-0-12-206250-6). Academic Press

Davis, Mark E. (1984). [Numerical Methods & Modeling for Chemical Engineers](https://www.amazon.com/Numerical-Modeling-Chemical-Engineers-Mathematics/dp/0486493830/fortran-wiki-20). Wiley

Davis, Philip J., and Philip Rabinowitz (1984). [Methods of Numerical Integration, 2nd. ed.](https://store.doverpublications.com/0486453391.html). Academic Press

Day, A. Colin (1972). [Fortran Techniques with Special Reference to Non-numerical Applications](https://www.cambridge.org/us/academic/subjects/computer-science/programming-languages-and-applied-logic/fortran-techniques-special-reference-non-numerical-applications). Cambridge University Press

De Gooijer, Jan G. (2017). [Elements of Nonlinear Time Series Analysis and Forecasting](https://www.springer.com/us/book/9783319432519). Springer

De Graef, Marc (2003). [Introduction to Conventional Transmission Electron Microscopy](http://ctem.web.cmu.edu/frames.html). Cambridge University Press

Demkowicz, Leszek, Jason Kurtz, David Pardo, Maciej Paszynski, Waldemar Rachowicz, and Adam Zdunek (2007). [Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications](https://www.routledge.com/Computing-with-hp-ADAPTIVE-FINITE-ELEMENTS-Volume-II-Frontiers--Three/Demkowicz-Kurtz-Pardo-Paszenski-Rachowicz-Zdunek/p/book/9781584886723) Chapman and Hall/CRC. Hp3d code [here](https://github.com/Oden-EAG/hp3d).

Dennis, Jr., J.E., and Robert B. Schnabel (1996). [Numerical Methods for Unconstrained Optimization and Nonlinear Equations](https://my.siam.org/Store/Product/viewproduct/?ProductId=755). SIAM. Fortran 90 code for UNCMIN at Alan Miller’s [site](https://jblevins.org/mirror/amiller/)

de Souza Neto, E.A., D. Peri, and D.R.J. Owen (2008). [Computational Methods for Plasticity: Theory and Applications](https://www.wiley.com/legacy/wileychi/desouzaneto/). Wiley. Code at book site and also [GitHub](https://github.com/mestradam/hyplas)

Deutsch, C.V. and A.G. Journel (1997). [GSLIB: Geostatistical Software Library and Users Guide, 2nd. ed.](http://claytonvdeutsch.com/research/). Oxford University Press. Code [here](http://gslib.com/)

DeVries, Paul L. (1994). [A First Course in Computational Physics](https://www.amazon.com/First-Course-Computational-Physics/dp/0471548693/fortran-wiki-20). Wiley. reviewed [here](https://aapt.scitation.org/doi/abs/10.1119/1.17476)

Devroye, Luc (1986). [Non-Uniform Random Variate Generation](http://luc.devroye.org/rnbookindex.html). Springer. Devroye [says](http://luc.devroye.org/rng.html)“[Alan Miller](https://jblevins.org/mirror/amiller/) … programmed most algorithms” from the book.

Dhatt, Gouri, and Gilbert Touzot (1984). [The Finite Element Method Displayed](https://www.amazon.com/Finite-Element-Method-Displayed/dp/0471901105). Wiley. Code at [GitHub](https://github.com/freevryheid/FEM/tree/master/DT)

Dhondt, Guido (2004). [The Finite Element Method for Three‐Dimensional Thermomechanical Applications](https://onlinelibrary.wiley.com/doi/book/10.1002/0470021217). Wiley. Accompanied by finite element software [CalculiX](http://www.calculix.de/).

Dierckx, Paul (1993). [Curve and Surface Fitting with Splines](https://global.oup.com/academic/product/curve-and-surface-fitting-with-splines-9780198534402). Oxford. Original code [here](http://www.netlib.org/dierckx/), modernized [here](https://github.com/perazz/fitpack).

Elliott, J. Richard, Vladimir Diky, Thomas A. Knotts IV, and W. Vincent Wilding (2023). [The Properties of Gases and Liquids, 6th ed.](https://www.mhprofessional.com/the-properties-of-gases-and-liquids-sixth-edition-9781260116342-usa). McGraw-Hill. Code at [GitHub](https://github.com/PGLadmin/PGLWrapper)

Emanuel, Kerry A. (1994). [Atmospheric Convection](https://global.oup.com/academic/product/atmospheric-convection-9780195066302). Oxford. Code [here](https://emanuel.mit.edu/fortran-programs-atmospheric-convection)

Engeln-Müllges, Gisela and Uhlig, Frank (2013). [Numerical Algorithms with Fortran](http://fortranwiki.org/fortran/show/Numerical+Algorithms+with+Fortran). Springer.

Epps, Thomas W. (2007). [Pricing Derivative Securities, 2nd. ed.](https://www.worldscientific.com/worldscibooks/10.1142/6243#t=suppl). World Scientific

Erban, Radek, and Jonathan Chapman (2020). [Stochastic Modelling of Reaction-Diffusion Processes](https://people.maths.ox.ac.uk/erban/cupbook/), Cambridge University Press

Erman, Burak, and James E. Mark (1997). [Structures and Properties of Rubberlike Networks](https://academic.oup.com/book/42066). Oxford University Press. Appendix G has "Fortran Program for Monte Carlo Calculations".

Evensen, Geir (2009). [Data assimilation, The Ensemble Kalman Filter, 2nd ed.](https://enkf.nersc.no/). Springer

Farlow, Stanley J. (1984). [Self-Organizing Methods in Modeling: GMDH Type Algorithms](https://www.taylorfrancis.com/books/edit/10.1201/9781003065227/self-organizing-methods-modeling-stanley-farlow). CRC Press

Farrashkhalvat, M., and J.P. Miles (2003). [Basic Structured Grid Generation, with an introduction to unstructured grid generation](https://www.sciencedirect.com/book/9780750650588/basic-structured-grid-generation). Butterworth-Heinemann

Fehr, Hans and Kindermann, Fabian (2018). [Introduction to Computational Economics Using Fortran](http://fortranwiki.org/fortran/show/Introduction+to+Computational+Economics+Using+Fortran). Oxford University Press.

Fenner, D. N. (1987). [Engineering stress analysis: A finite element approach with FORTRAN 77 software](https://www.amazon.com/Engineering-Stress-Analysis-mechanical-engineering/dp/074580246X/fortran-wiki-20). Ellis Horwood

Fenner, Roger T. (2013). [Finite Element Methods For Engineers, 2nd ed.](https://www.amazon.com/Finite-Element-Methods-Engineers-Fenner/dp/B004VSJ030/fortran-wiki-20). Imperial College Press

Fenton, Gordon A., and D. V. Griffiths (2008). [Risk Assessment in Geotechnical Engineering](http://random.engmath.dal.ca/rfem/). Wiley

Ferziger, Joel H., Peric, Milovan, and Street, Robert L. (2002). [Computational Methods for Fluid Dynamics](http://cfd-peric.de/). Springer

Finlayson, Bruce A. (1980). [Nonlinear Analysis in Chemical Engineering](http://www.chemecomp.com/resale/Nonlinear/program_index.htm). McGraw-Hill.

Fischer, Charlotte Frose, Tomas Brage, and Per Jonsson (1997). [Computational Atomic Structure: An MCHF Approach](https://www.routledge.com/Computational-Atomic-Structure-An-MCHF-Approach/Froese-Fischer/p/book/9780367401108). CRC Press. Code [here](https://www.pks.mpg.de/~george/HF/index.html), [here](https://github.com/cffischer), and [here](https://github.com/compas/atsp-book)

Fletcher, C. A. J. (1998). [Computational Techniques for Fluid Dynamics 1: Fundamental and General Techniques](https://www.springer.com/us/book/9783540530589). Springer

Fletcher, C. A. J. (1991). [Computational Techniques for Fluid Dynamics 2: Specific Techniques for Different Flow Categories](https://www.springer.com/us/book/9783540536017). Springer

Fletcher, C. A. J. (1984). [Computational Galerkin Methods](https://www.springer.com/us/book/9783642859519). Springer

Fletcher, R. (2000). [Practical Methods of Optimization, 2nd Edition](https://www.wiley.com/en-us/Practical+Methods+of+Optimization%2C+2nd+Edition-p-9780471494638). Wiley

Fornberg, Bengt (1998). [A Practical Guide to Pseudospectral Methods](https://www.cambridge.org/core/books/practical-guide-to-pseudospectral-methods/A480974AF6FAF85BF2DBC1D17F195A82). Cambridge University Press.

Fornés, José Antonio (2021). [Principles of Brownian and molecular motors](https://link.springer.com/book/10.1007/978-3-030-64957-9). Springer

Fornés, José Antonio (2024). [Quantum Processes in Biology](https://link.springer.com/book/10.1007/978-3-031-58078-9). Springer

Forsythe, George E., Michael A. Malcolm, and Cleve B. Moler (1977). [Computer Methods for Mathematical Computations](https://www.amazon.com/Mathematical-Computations-Prentice-Hall-automatic-computation/dp/0131653326/fortran-wiki-20). Prentice-Hall. Original code at [Netlib](http://www.netlib.org/fmm/index.html) and updated Fortran 90 code by Ralph Carmichael [here](https://www.pdas.com/fmmdownload.html).

Francq, Christian and Jean‐Michel Zakoian (2019). [GARCH Models: Structure, Statistical Inference and Financial Applications, 2nd. ed.](https://onlinelibrary.wiley.com/doi/book/10.1002/9781119313472). Wiley. Code at Francq’s [site](http://christian.francq140.free.fr/Christian-Francq/GARCH-Models/Identification/portmanteau.html)

Frenkel, Daan, and Berend Smit (2002). [Understanding Molecular Simulation: From Algorithms to Applications, 2nd. ed.](https://www.sciencedirect.com/book/9780122673511/understanding-molecular-simulation). Academic Press.

Fuller, W. R. (1977). [FORTRAN Programming: A Supplement for Calculus Courses](https://www.springer.com/gp/book/9780387902838). Springer

Gallucci, Vincent F., Saul B. Saila, Daniel J. Gustafson, and Brian J. Rothschild (1995). [Stock Assessment: Quantitative Methods and Applications for Small Scale Fisheries](https://www.routledge.com/Stock-Assessment-Quantitative-Methods-and-Applications-for-Small-Scale-Fisheries/Gallucci-Saila-Gustafson-Rothschild/p/book/9780367448820). CRC Press. Code [here](https://www.routledge.com/downloads/L1151/L1151.zip)

Garcia, Alejandro L. (1994). [Numerical Methods for Physics](http://www.algarcia.org/nummeth/nummeth.html). Prentice Hall

Genz, Alan, and Frank Bretz (2009). [Computation of Multivariate Normal and t Probabilities](https://link.springer.com/book/10.1007/978-3-642-01689-9). Springer. Code [here](https://www.math.wsu.edu/faculty/genz/software/software.html) and [here](https://econ.lse.ac.uk/staff/vassilis/emetrsoft/nrpsimf/)

George, Alan, and Joseph W. Liu (1981). [Computer Solution of Large Sparse Positive Definite Systems](http://heath.cs.illinois.edu/courses/cs598mh/george_liu.pdf). Prentice Hall. Sparsepak code updated by John Burkardt [here](https://people.math.sc.edu/Burkardt/f_src/sparsepak/sparsepak.html), book reviewed [here](https://epubs.siam.org/doi/10.1137/1026055).

Gerald, Curtis F., and Patrick O. Wheatley (2004). [Applied Numerical Analysis, 7th ed.](https://books.google.com/books/about/Applied_Numerical_Analysis.html?id=BiOZQgAACAAJ). Addison-Wesley

Gibbs, B. P. (2011). [Advanced Kalman Filtering, Least-Squares, and Modeling, A Practical Handbook](https://onlinelibrary.wiley.com/doi/book/10.1002/9780470890042). Wiley. The software is included in a single zip file (Gibbs_Software_1_2.zip) located at web site ftp://ftp.wiley.com/public/sci_tech_med/least_squares/

Gill, Philip E., Walter Murray, Margaret H. Wright (1981). [Practical Optimization](https://my.siam.org/Store/Product/viewproduct/?ProductId=31205265). Academic Press

Giordano, Nicholas J., and Hisao Nakanishi (2005). [Computational Physics](http://www.physics.purdue.edu/~hisao/book/). Prentice-Hall

Goedecker, Stefan, and Adolfy Hoisie (2001). [Performance Optimization of Numerically Intensive Codes](https://epubs.siam.org/doi/book/10.1137/1.9780898718218). SIAM. Codes [here](https://archive.siam.org/books/set12/).

Golub, Gene, and Charles Van Loan (2013). [Matrix Computations, 4th ed.](https://www.amazon.com/Computations-Hopkins-Studies-Mathematical-Sciences/dp/1421407949/fortran-wiki-20). Johns Hopkins

Gonin, Rene, and Arthur H. Money (1989). [Nonlinear Lp-Norm Estimation](https://www.routledge.com/Nonlinear-Lp-Norm-Estimation/Gonin/p/book/9780367451165). CRC

Green, Peter J., Nils Lid Hjort, and Sylvia Richardson (2003). [Highly Structured Stochastic Systems](https://global.oup.com/academic/product/highly-structured-stochastic-systems-9780198510550?cc=us&lang=en&). Oxford University Press. Related code at Green’s [site](https://people.maths.bris.ac.uk/~mapjg/AutoRJ/)

Greenspan, Donald (2005). [Molecular and Particle Modelling of Laminar and Turbulent Flows](https://www.worldscientific.com/worldscibooks/10.1142/5702#t=suppl). World Scientific

Greenspan, Donald (1991). [Quasimolecular Modelling](https://www.amazon.com/Quasimolecular-Modelling-Scientific-Lecture-Physics/dp/9810207190/fortran-wiki-20). World Scientific

Griffiths, P., and Ian D. Hill (1985). [Applied Statistics Algorithms](https://www.amazon.com/Applied-Statistics-Algorithms-Mathematics-Applications/dp/0470201843/fortran-wiki-20). Ellis Horwood. Applied statistics codes [here](http://lib.stat.cmu.edu/apstat/).

Griffiths, D. Vaughan, and I.M. Smith (2006). [Numerical Methods for Engineers, 2nd ed.](https://www.routledge.com/Numerical-Methods-for-Engineers/Griffiths-Smith/p/book/9780367390662). CRC. Code at Griffiths’ [site](http://inside.mines.edu/~vgriffit/)

Gropp, William, Torsten Hoefler, Rajeev Thakur and Ewing Lusk (2014). [Using Advanced MPI: Modern Features of the Message-Passing Interface](https://wgropp.cs.illinois.edu/usingmpiweb/). MIT Press.

Gropp,  William, Lusk, E. and Skjellum, A. (1999). [Using MPI - Portable Parallel Programming with the Message Passing Interface](http://fortranwiki.org/fortran/show/Using+MPI+-+Portable+Parallel+Programming+with+the+Message+Passing+Interface). The MIT Press.

Gu, Chong (2013). [Smoothing Spline ANOVA Models, 2nd ed.](https://www.stat.purdue.edu/~chong/book/). Springer

Hageman, L. and D. M. Young (1981). [Applied Iterative Methods](https://store.doverpublications.com/0486153304.html). Academic Press. Related package: [NSPCG](https://web.ma.utexas.edu/CNA/NSPCG/)

Hager, Georg and Gerhard Wellein (2010). [Introduction to High Performance Computing for Scientists and Engineers](https://blogs.fau.de/hager/hpc-book). CRC

Hager, William (1988). [Applied Numerical Linear Algebra](https://www.amazon.com/Applied-Numerical-Linear-Algebra-William/dp/0130412945). Prentice Hall. NAPACK code at John Burkardt's [site](https://people.sc.fsu.edu/~jburkardt/f77_src/napack/napack.html)

Hairer, Ernst, Syvert P. Nørsett, and Gerhard Wanner (1993). [Solving Ordinary Differential Equations I: Nonstiff Problems](https://www.springer.com/gp/book/9783540566700). Springer. code at Hairer’s [site](http://www.unige.ch/~hairer/software.html)

Hairer, Ernst, and Gerhard Wanner (1996). [Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems](https://www.springer.com/gp/book/9783540604525). Springer. code at Hairer’s [site](http://www.unige.ch/~hairer/software.html)

Harrison, Howard B. (1973). [Computer methods in structural analysis](https://trid.trb.org/view/135613). Prentice-Hall

Harrison, Howard B. (1990). [Structural Analysis and Design: Some Microcomputer Applications, 2nd. ed.](https://www.amazon.com/Structural-Analysis-Design-Microcomputer-Applications/dp/0080375219). Pergamon

Hartigan, J. A. (1975). [Clustering Algorithms](https://www.amazon.com/exec/obidos/ASIN/047135645X/acmorg-20/fortran-wiki-20). Wiley. Code in the [Cluster](https://orion.math.iastate.edu/docs/cmlib/cluster.html) section of CMLIB.

Heer, Burkhard and Alfred Maussner (2009). [Dynamic General Equilibrium Modelling, Computational Methods and Applications](https://link.springer.com/book/10.1007/978-3-540-85685-6). Springer. Code [here](https://www.uni-augsburg.de/de/fakultaet/wiwi/prof/vwl/maussner/dgebook/).

Helffrich, George, James Wookey, and Ian Bastow (2013). [The Seismic Analysis Code: A Primer and User's Guide](https://www.cambridge.org/us/academic/subjects/earth-and-environmental-science/solid-earth-geophysics/seismic-analysis-code-primer-and-users-guide). Cambridge. Code [here](https://github.com/ghfbsd/sacbook) and manual [here](http://www.adc1.iris.edu/files/sac-manual/sac_manual.pdf).

Hinton, E., and D. Owen (1979). [Finite Element Programming](https://www.elsevier.com/books/finite-element-programming/hinton/978-0-08-091871-6). Academic Press

Hjorth-Jensen, Morton (2008). [Computational Physics](https://www.uio.no/studier/emner/matnat/fys/FYS3150/h08/undervisningsmateriale/Lecture%20Notes/lecture2008.pdf).

Hock, W., and Klaus Schittkowski (1981). [Test Examples for Nonlinear Programming Codes](https://www.springer.com/us/book/9783540105619). Springer. Code [here](http://klaus-schittkowski.de/tpnp.htm)

Huang, Haibo, Michael C. Sukop, and Xi-Yun Lu (2015). [Multiphase Lattice Boltzmann Methods: Theory and Application](https://www.wiley.com/legacy/wileychi/huang/). Wiley

Hughes, Thomas J. R. (1987). [The Finite Element Method: Linear Static and Dynamic Finite Element Analysis](https://store.doverpublications.com/0486411818.html). Prentice-Hall. Related code [DLEARN](https://www.zsoil.com/dlearn/)

IEEE (1981). [Programs for Digital Signal Processing](https://www.amazon.com/Programs-Processing-Institute-Electrical-Electronics/dp/0471059625). IEEE Press. Reviewed [here](https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1456363)

Itkin, A. L., and E. G. Kolesnichenko (1997). [Microscopic Theory of Condensation in Gases and Plasma](https://www.worldscientific.com/worldscibooks/10.1142/3325). World Scientific

Izaac, Joshua, and Jingbo Wang (2018). [Computational Quantum Mechanics](https://www.springer.com/gp/book/9783319999296). Springer

Kaufman, Leonard, and Peter J. Rousseeuw (1990). [Finding Groups in Data: An Introduction to Cluster Analysis](https://onlinelibrary.wiley.com/doi/book/10.1002/9780470316801). Wiley. Code [here](https://www.stats.ox.ac.uk/~ripley/PRbook/clusfind)

Lee, H. J., and W. E. Schiesser (2004), [Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple and Matlab](https://www.taylorfrancis.com/books/mono/10.1201/9780203010518/ordinary-partial-differential-equation-routines-fortran-java-maple-matlab-lee-schiesser). CRC. Code [here](https://www.lehigh.edu/~wes1/books/ode_pde/).

Javanbakht, Zia, and Andreas Öchsner (2017). [Advanced Finite Element Simulation with MSC Marc: Application of User Subroutines](https://www.springer.com/us/book/9783319476674). Springer

Jeppson, Roland W. Jeppson (1976). [Analysis of Flow in Pipe Networks](https://www.amazon.com/Analysis-Flow-Networks-Roland-Jeppson/dp/0250401193/fortran-wiki-20). Butterworth-Heinemann. Modernization of codes discussed in [Recovery of Jeppson Pipe Network Analysis Software](http://www.acorvid.com/wp-content/uploads/2018/03/wp-20180307-jeppson-1.pdf) by Bob Apthorpe

Jones, Russell K., and Tracy Crabtree (1988). [FORTRAN Tools for VAX/VMS and MS-DOS](https://www.amazon.com/FORTRAN-Tools-VAX-VMS-MS-DOS/dp/0471619760/fortran-wiki-20). Wiley

Koenker, Roger (2005). [Quantile Regression](https://www.cambridge.org/core/books/quantile-regression/C18AE7BCF3EC43C16937390D44A328B1). Code [here](https://github.com/cran/quantreg).

Knuth, Donald E. (1997). [Seminumerical Algorithms, 3rd ed.](https://www-cs-faculty.stanford.edu/~knuth/taocp.html) Code [here](https://www-cs-faculty.stanford.edu/~knuth/programs.html)

Law, Averill M., and W. David Kelton (1999). [Simulation Modeling and Analysis, 3rd. ed](https://www.amazon.com/Simulation-Modeling-Industrial-Engineering-Management/dp/0070592926). McGraw-Hill

Kagiwada, Harriet, Robert Kalaba, Nima Rasakhoo, and Karl Spingarn (1986). [Numerical Derivatives and Nonlinear Analysis](https://www.springer.com/us/book/9781468450583). Springer

Kahaner, David, Cleve Moler, and Stephen Nash (1998). [Numerical Methods and Software](https://www.amazon.com/Numerical-Methods-Software-Disk-Included/dp/0136272584/fortran-wiki-20). Prentice Hall. Fortran 90 code [here](https://people.sc.fsu.edu/~jburkardt/f_src/nms/nms.html)

Kampf, Jochen (2010). [Advanced Ocean Modelling: Using Open-Source Software](https://www.springer.com/gp/book/9783642106095). Springer

Kantz, Holger, and Thomas Schreiber (2010). [Nonlinear Time Series Analysis](https://www.cambridge.org/core/books/nonlinear-time-series-analysis/519783E4E8A2C3DCD4641E42765309C7). Cambridge University Press. Associated software: [TISEAN](https://www.pks.mpg.de/tisean//Tisean_3.0.1/index.html)

Katz, Joseph and Allen Plotkin (2001). [Low-Speed Aerodynamics](https://www.cambridge.org/core/books/lowspeed-aerodynamics/077FAF851C4582F1B7593809752C44AE). Cambridge University Press. Code at [GitHub](https://github.com/cibinjoseph/KatzPlotkin)

Kearfott, R. Baker (1996). [Rigorous Global Search: Continuous Problems](https://interval.louisiana.edu/books.html). Kluwer

Keeling, Matt J. and Pej Rohani (2007). [Modeling Infectious Diseases in Humans and Animals](http://www.modelinginfectiousdiseases.org). Princeton University Press

Kernighan, Brian W. and Pike, Rob (1999). [The Practice of Programming](http://fortranwiki.org/fortran/show/The+Practice+of+Programming). Addison-Wesley.

Kheir, Naim (1995). [Systems Modeling and Computer Simulation](https://www.routledge.com/Systems-Modeling-and-Computer-Simulation/Kheir/p/book/9780203737439). CRC Press

Kincaid, David and Ward Cheney (2002). [Numerical Analysis: Mathematics of Scientific Computing, 3rd ed.](https://bookstore.ams.org/amstext-2). American Mathematical Society. Code [here](https://web.ma.utexas.edu/CNA/NA3/sample.html)

Kitagawa, Genshiro (2020). [Introduction to Time Series Modeling with Applications in R](https://www.routledge.com/Introduction-to-Time-Series-Modeling-with-Applications-in-R/Kitagawa/p/book/9780367187330). CRC. Associated R package [TSSS: Time Series Analysis with State Space Model](https://cran.r-project.org/web/packages/TSSS/index.html) has Fortran code.

Klein, Andi, and Alexander Godunov (2006). [Introductory Computational Physics](https://ww2.odu.edu/~agodunov/comp_physics.html). Cambridge University Press. codes in Fortran and C++

Koonin, Steven E., and Dawn C. Meredith (1990). [Computational Physics: Fortran Version](https://mypages.unh.edu/dawnm/computationalphysics). Westview Press

Kopriva, David (2009). [Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers](https://www.springer.com/us/book/9789048122608). Springer. Has Fortran-friendly pseudo-code. The author has contributed routines to the [HORSES2D](https://github.com/horsescfd/HORSES2D) high-order spectral element solver in Fortran.

Kuester, James L., and Joe H. Mize (1973). [Optimization Techniques with Fortran](https://www.amazon.com/Optimization-Techniques-Fortran-Kuester-1973-06-01/dp/B01A64AHLQ/fortran-wiki-20). McGraw-Hill

Künzi, Hans P., H. G. Tzschach, and C. A. Zehnder (1968). [Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs](https://shop.elsevier.com/books/numerical-methods-of-mathematical-optimization/rheinboldt/978-0-12-428850-8). Academic Press

Land, A., and S. Powell (1973). [Fortran codes for mathematical programming: linear, quadratic and discrete](https://www.amazon.com/Fortran-codes-mathematical-programming-quadratic/dp/0471512702/fortran-wiki-20). Wiley

Lau, Hang Tong (1989). [Algorithms on Graphs](https://www.amazon.com/Algorithms-Graphs-H-T-Lau/dp/0830634290). Tab Books. Fortran 90 version of code at Burkardt’s [site](https://people.sc.fsu.edu/~jburkardt/f_src/laupack/laupack.html)

Lau, Hang Tong (1986). [Combinatorial Heuristic Algorithms with FORTRAN](https://www.springer.com/us/book/9783540171614). Springer

Lawson, Charles L., and Richard J. Hanson (1995). [Solving Least Squares Problems](https://epubs.siam.org/doi/book/10.1137/1.9781611971217). SIAM original code at [Netlib](http://www.netlib.org/lawson-hanson/), modernized code at [GitHub](https://github.com/ivan-pi/fortran_lsp). Bounded Variable Least Squares Solver [here](https://people.sc.fsu.edu/~jburkardt/f_src/bvls/bvls.html), Nonnegative Least Squares [here](https://jblevins.org/mirror/amiller/nnls.f90).

LeVeque, Randall J. (2012). [Finite Volume Methods for Hyperbolic Problems](http://www.clawpack.org/book.html). Cambridge University Press

Lee, H.J., and W.E. (2003). [Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB](https://www.routledge.com/Ordinary-and-Partial-Differential-Equation-Routines-in-C-C-Fortran/Lee-Schiesser/p/book/9781584884231). Chapman and Hall/CRC

Lee, Wen Ho (2018). [Computational Solid Mechanics for Oil Well Perforator Design](https://www.worldscientific.com/worldscibooks/10.1142/10966#t=toc). World Scientific

Leffelaar P. A. (1993). [On Systems Analysis and Simulation of Ecological Processes with Examples in CSMP and FORTRAN](https://www.springer.com/us/book/9789401120869). Springer

Liu, G.R., and M. B. Liu (2003). [Smoothed Particle Hydrodynamics: A Meshfree Particle Method](https://www.worldscientific.com/worldscibooks/10.1142/5340). World Scientific. Code at site and at [GitHub](https://github.com/QuantumWarlock/LiuBook_SPH3D)

Lobo, Michael (1997). [Time-Marching: A Step-by-step Guide to a Flow Solver](https://www.routledge.com/Time-Marching-A-Step-by-step-Guide-to-a-Flow-Solver/Lobo/p/book/9781138364547). Gower Technical

Lucquin, Brigitte, and Olivier Pironneau (1998). [Introduction to Scientific Computing](https://www.wiley.com/en-us/Introduction+to+Scientific+Computing-p-9780471972662). Wiley. Fortran and C code at Pironneau’s [site](https://www.ljll.math.upmc.fr/pironneau/)

Mabie, Hamilton H., and Charles F. Reinholtz (1987). [Mechanisms and Dynamics of Machinery, 4th ed.](https://www.amazon.com/Mechanisms-Dynamics-Machinery-Hamilton-Mabie/dp/0471802379). Wiley

Marazzi, Alfio (1993). [Algorithms, Routines, and S-Functions for Robust Statistics](https://www.routledge.com/Algorithms-Routines-and-S-Functions-for-Robust-Statistics/Marazzi/p/book/9780412079917). Chapman and Hall/CRC. FORTRAN 77 code available in [robeth](https://cran.r-project.org/web/packages/robeth/index.html) R package

Markus, Arjen (2012). [Modern Fortran in Practice](http://fortranwiki.org/fortran/show/Modern+Fortran+in+Practice). Cambridge University Press.

Marple, S. Lawrence (1987). [Digital Spectral Analysis with Applications](https://www.amazon.com/Spectral-Applications-Prentice-Hall-Processing-1987-03-01/dp/B01K0PWLCO/fortran-wiki-20). Prentice-Hall. Reviewed [here](https://asa.scitation.org/doi/pdf/10.1121/1.398548). Second [edition](https://www.doverpublications.com/048678052x/) has Matlab code.

Martello, Silvano, and Paolo Toth (1990). [Knapsack Problems: Algorithms and Computer Implementations](http://www.or.deis.unibo.it/kp.html).

Wiley.

Mathews, John H. (1992). [Numerical Methods For Mathematics, Science, and Engineering, 2nd ed.](https://www.amazon.com/Numerical-Methods-Mathematics-Science-Engineering/dp/0136249906) Prentice-Hall. Code at [Netlib](https://netlib.sandia.gov/textbook/mathews/)

Mattson, Timothy G., Yun (Helen) He, and Alice E. Koniges (2019). [The OpenMP Common Core: Making OpenMP Simple Again](https://mitpress.mit.edu/books/openmp-common-core). MIT Press

McLachlan, Geoffrey, and David Peel (2000). [Finite Mixture Models](https://onlinelibrary.wiley.com/doi/book/10.1002/0471721182). Wiley. Code for EMMIX is [here](https://people.smp.uq.edu.au/GeoffMcLachlan/mix_soft/index.html) and described [here](https://www.jstatsoft.org/article/view/v004i02).

Mielke, Jr., Paul W., and Kenneth J. Berry (2007). [Permutation Methods: A Distance Function Approach](https://www.springer.com/gp/book/9781475734492). Springer. code at Mielke’s [site](https://www.stat.colostate.edu/~mielke/permute.html)

Miller, Alan (2002). [Subset Selection in Regression, 2nd ed.](https://www.routledge.com/Subset-Selection-in-Regression/Miller/p/book/9780367396220). Chapman and Hall/CRC. code at Miller’s [site](https://jblevins.org/mirror/amiller/)

Modest, Michael F. (2013), [Radiative Heat Transfer, 3rd ed.](https://www.sciencedirect.com/book/9780123869449/radiative-heat-transfer). Elsevier

Monahan, John F. (2011). [Numerical Methods of Statistics, 2nd ed.](https://www4.stat.ncsu.edu/~monahan/nmos2/toc.html). Cambridge University Press

Moran, Jack (1984). [An Introduction to Theoretical and Computational Aerodynamics](https://store.doverpublications.com/0486428796.html). Wiley. Reviewed [here](https://arc.aiaa.org/doi/10.2514/3.48703)

Moré, Jorge J. and Stephen J. Wright (1993). [Optimization Software Guide](https://epubs.siam.org/doi/book/10.1137/1.9781611970951). SIAM. Wright helped create the [NEOS Guide](https://neos-guide.org/)

Moursund, David G., and Charles S. Duris (1988). [Elementary Theory and Application of Numerical Analysis](https://www.amazon.com/Elementary-Theory-Application-Numerical-Analysis/dp/048665754X/fortran-wiki-20). Dover

Mudelsee, Manfred (2014). [Climate Time Series Analysis: Classical Statistical and Bootstrap Methods, 2nd. ed.](https://www.manfredmudelsee.com/book/index.htm). Springer

Mudelsee, Manfred (2020). [Statistical Analysis of Climate Extremes](https://www.manfredmudelsee.com/textbook/index.htm). Cambridge University Press

Murtagh, Fionn (1985). [Multidimensional Clustering Algorithms](https://books.google.com/books/about/Multidimensional_Clustering_Algorithms.html?id=1RbvAAAAMAAJ). Physica-Verlag. Book and code are at Murtagh's [site](https://mda-sw.github.io/).

Murtagh, Fionn and Andre Heck (1987). [Multivariate Data Analysis](https://mda-sw.github.io/), Kluwer, Dordrecht. Code and a later expanded book "Multivariate Data Analysis with Fortran, C, and Java code" is at Murtagh's [site](https://mda-sw.github.io/). 

Musoff, Howard, and Paul Zarchan (2009). [Fundamentals of Kalman Filtering: A Practical Approach, 4th ed.](https://arc.aiaa.org/doi/book/10.2514/4.867200). American Institute of Aeronautics and Astronautics

Nazareth, J.L. (2001). [DLP and Extensions: An Optimization Model and Decision Support System](https://www.springer.com/us/book/9783540411147). Springer. DLPEDU code [here](http://www.math.wsu.edu/faculty/nazareth/dlpedu-ebook.pdf)

Neculai, Andrei (2020). [Nonlinear Conjugate Gradient Methods for Unconstrained Optimization](https://www.springer.com/gp/book/9783030429492). Springer. Fortran codes at author’s [site](https://camo.ici.ro/neculai/ansoft.htm)

Neder, Reinhard B., and Thomas Proffen (2009). [Diffuse Scattering and Defect Structure Simulations: A Cook Book Using the Program DISCUS](https://oxford.universitypressscholarship.com/view/10.1093/acprof:oso/9780199233694.001.0001/acprof-9780199233694). Oxford University Press. Code at [GitHub](http://tproffen.github.io/DiffuseCode/)

Newton, H. Joseph (1988). [Timeslab: A Time Series Analysis Laboratory](https://www.amazon.com/Timeslab-Laboratory-Diskettes-Statistics-Probability/dp/0534091989/fortran-wiki-20). Wadsworth & Brook/Cole. Timeslab code at author’s [site](https://web.stat.tamu.edu/~jnewton/)

Ng, Shu Kay, Liming Xiang, and Kelvin Kai Wing Yau (2019). [Mixture Modelling for Medical and Health Sciences](https://www.routledge.com/Mixture-Modelling-for-Medical-and-Health-Sciences/Ng-Xiang-Yau/p/book/9780367729332). CRC Press.

Nguyen, Duc Thai (2024). [Parallel-Sparse Statics and Eigen-Solutions](https://link.springer.com/book/10.1007/978-3-031-48788-0). Springer

Nguyen, Duc Thai (2002). [Parallel-Vector Equation Solvers for Finite Element Engineering Applications](https://www.springer.com/us/book/9780306466403). Springer

Nijenhuis, Albert, and Herbert S. Wilf (1978). [Combinatorial Algorithms

For Computers and Calculators, 2nd. ed.](https://www3.cs.stonybrook.edu/~algorith/implement/wilf/implement.shtml). Academic Press. Original code at book site, Fortran 90 by Burkardt [here](https://people.math.sc.edu/Burkardt/f_src/subset/subset.html)

Nocedal, Jorge, and Stephen J. Wright (2006). [Numerical Optimization](http://users.iems.northwestern.edu/~nocedal/book/index.html). Springer. Related code at Nocedal’s [site](http://users.iems.northwestern.edu/~nocedal/software.html)

Norouzi, Hamid Reza, Reza Zarghami, Rahmat Sotudeh-Gharebagh, and Navid Mostoufi (2016). [Coupled CFD-DEM Modeling: Formulation, Implementation and Application to Multiphase Flows](https://www.wiley.com//legacy/wileychi/norouzi/). Wiley

Oliveira, Suely and Stewart, David (2006). [Writing Scientific Software - A Guide to Good Style](http://fortranwiki.org/fortran/show/Writing+Scientific+Software+-+A+Guide+to+Good+Style). Cambridge University Press.

Olver, Frank W. J., Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark (2010). [NIST Handbook of Mathematical Functions](https://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521192255). Cambridge University Press. Associated with the [NIST Digital Library of Mathematical Functions](https://dlmf.nist.gov/)

Orfanidis, Sophocles J. (1988). [Optimum Signal Processing](https://www.ece.rutgers.edu/~orfanidi/osp2e/index.html). Wiley

Orlandi, Paolo (2000). [Fluid Flow Phenomena: A Numerical Toolkit](https://www.springer.com/us/book/9781402003899). Kluwer. Code at author's [site](http://dma.ing.uniroma1.it/users/orlandi/resume.html)

Osyczka, Andrzej (1984). [Multicriterion Optimization in Engineering with FORTRAN Programs](https://www.amazon.com/Multicriterion-Optimization-Engineering-FORTRAN-Programs/dp/B002IXMBH2/fortran-wiki-20). Halsted/Wiley

Owen, D. R. J., and Ernest Hinton (1980). [Finite Elements in Plasticity: Theory and Practice](https://books.google.com/books/about/Finite_Elements_in_Plasticity.html?id=IzcIAQAAIAAJ). Pineridge Press. Reviewed [here](https://onlinelibrary.wiley.com/doi/10.1002/nme.1620170712), related code [here](https://github.com/viktorrobin/FEM)

Pacheco, Peter (1996). [Parallel Programming with MPI](https://shop.elsevier.com/books/parallel-programming-with-mpi/pacheco/978-0-08-051354-6). Morgan Kaufmann

Pang, Tao (2006). [An Introduction to Computational Physics, 2nd Edition](http://www.physics.unlv.edu/~pang/cp2.html). Cambridge University Press

Pao, Yen-Ching (1998). [Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica](https://www.routledge.com/Engineering-Analysis-Interactive-Methods-and-Programs-with-FORTRAN-QuickBASIC/Pao/p/book/9780849320163). CRC Press

París, Federico, and José Cañas (1997). [Boundary Element Method: Fundamentals and Applications](https://www.amazon.com/Boundary-Element-Method-Fundamentals-Applications/dp/0198565372). Oxford University Press. Code at Burkardt's [site](https://people.math.sc.edu/Burkardt/f77_src/betis/betis.html).

Parsons, Thomas W. (1986). [Voice and Speech Processing](https://www.amazon.com/gp/product/0070485410). McGraw-Hill. Appendix B has code for FFT and time series analysis.

Patankar, Suhas V. (1991). [Computation of Conduction and Duct Flow Heat Transfer](https://www.routledge.com/Computation-of-Conduction-and-Duct-Flow-Heat-Transfer/Patankar/p/book/9780367450595). CRC Press

Pozrikidis, C. (2017). [Fluid Dynamics: Theory, Computation, and Numerical Simulation, 3rd ed.](http://dehesa.freeshell.org/FD3/). Springer

Pozrikidis, C. (2008). [Numerical Computation in Science and Engineering, 2nd. ed.](http://dehesa.freeshell.org/NCSE2/). Oxford University Press

Pozrikidis, C. (2011). [Introduction to Theoretical and Computational Fluid Dynamics, 2nd. ed.](http://dehesa.freeshell.org/TCFD2/). Oxford

Pozrikidis, C. (1999). [Little Book of Streamlines](http://dehesa.freeshell.org/LBS/). Academic Press

Prausnitz, J., T. Anderson, E. Grens, C. Eckert, R. Hsieh, and J. O’Connell, (1980). [Computer Calculations for Multicomponent Vapor-Liquid and Liquid-Liquid Equilibria](https://www.amazon.com/Calculations-Multicomponent-Liquid-Liquid-Prentice-Hall-international/dp/0131649620/fortran-wiki-20). Prentice-Hall.

Press, Flannery, Teukolsky, and Vetterling (1992). [Numerical Recipes in Fortran 77](http://fortranwiki.org/fortran/show/Numerical+Recipes+in+Fortran+77). Cambridge University Press.

Press, Teukolsky, Vetterling and Flannery (1996). [Numerical Recipes in Fortran 90 - The Art of Parallel Scientific Computing](http://fortranwiki.org/fortran/show/Numerical+Recipes+in+Fortran+90+-+The+Art+of+Parallel+Scientific+Computing). Cambridge University Press

Pritsker, A. Alan B. (1995). [Introduction to Simulation and SLAM II, 4th ed.](https://www.amazon.com/Introduction-Simulation-SLAM-Alan-Pritsker/dp/0470234571), Wiley. Reviewed [here](https://dl.acm.org/doi/10.5555/200767)

Pritsker, A. Alan B. (1969). [Simulation with GASP-II: A FORTRAN based simulation language](https://www.amazon.com/Simulation-GASP-II-simulation-Prentice-Hall-computation/dp/0138104328). Prentice-Hall

Rabiner, Lawrence R., and Bernard Gold (1975). [Theory and Application of Digital Signal Processing](https://www.amazon.com/Theory-Application-Digital-Signal-Processing/dp/0139141014/fortran-wiki-20). Prentice Hall

Raman, Raghu (1985). [Chemical Process Computations](https://link.springer.com/book/9780853343417). Springer. Reviewed [here](https://journals.flvc.org/cee/article/view/124412/123410).

Ramkarthik, M.S., and Payal D. Solanki (2021). [Numerical Recipes in Quantum Information Theory and Quantum Computing: An Adventure in FORTRAN 90](https://www.routledge.com/Numerical-Recipes-in-Quantum-Information-Theory-and-Quantum-Computing-An/Ramkarthik-Solanki/p/book/9780367759285).

CRC Press

Ramos, Juan Antonio Hernandez, and Lopez, Javier Escoto (2020). [How to learn Applied Mathematics through modern FORTRAN](http://www.amazon.com/dp/B0851LN6HT/fortran-wiki-20/fortran-wiki-20). Independently published [code and text](https://github.com/jahrWork/NumericalHUB)

Randall, David A. [An Introduction to Numerical Modeling of the Atmosphere](http://hogback.atmos.colostate.edu/group/dave/at604pdf/AT604_LaTeX_Book.pdf)

Rao, Natti S. (1981). [Designing Machines and Dies for Polymer Processing with Computer Programs: FORTRAN and BASIC](https://books.google.com/books/about/Designing_Machines_and_Dies_for_Polymer.html?id=d53xAAAAMAAJ). Hanser

Reddy, J. N. (2005). [An Introduction to the Finite Element Method, 3rd ed.](http://highered.mheducation.com/sites/0072466855/index.html). McGraw-Hill. Code [here](https://mechanics.tamu.edu/fem-codes-from-linear-fem-book-in-fortran/)

Roberson, John A., and Clayton T. Crowe (1997). [Engineering Fluid Mechanics, 6th ed.](https://www.amazon.com/Engineering-Fluid-Mechanics-John-Roberson/dp/0471147354). Wiley. The appendix has programs for (1) finding the velocity distribution in a Couette flow with a variable viscosity distribution, (2) finding values for stream function in converging duct by solving, numerically, Laplace's equation using the line-by-line procedure, (3) analysis of fluid flowing in an extended length Venturi approach section, and (4) the time history of the water surface profile in a basin open to a reservoir with a sinusoidally varying water surface level.

Robey, Robert and Yuliana Zamora (2021). [Parallel and High Performance Computing](https://www.manning.com/books/parallel-and-high-performance-computing). Manning

Roe, Byron P. (2001). [Probability and Statistics in Experimental Physics](https://www.springer.com/gp/book/9780387951638). Springer

Røed, Lars Petter (2019). [Atmospheres and Oceans on Computers: Fundamental Numerical Methods for Geophysical Fluid Dynamics](https://www.springer.com/us/book/9783319938639). Springer. Has appendix [Introduction to Fortran 2003 via Examples](https://link.springer.com/content/pdf/bbm%3A978-3-319-93864-6%2F1.pdf)

Rouson, D., J. Xia, and X. Xu (2011). [Scientific Software Design - The Object-Oriented Way](http://fortranwiki.org/fortran/show/Scientific+Software+Design+-+The+Object-Oriented+Way). Cambridge University Press.

Rousseeuw, Peter J., and Annick M. Leroy (1987). [Robust Regression and Outlier Detection](https://onlinelibrary.wiley.com/doi/book/10.1002/9780470316801). Wiley. A chapter describes the PROGRESS program for robust regression.

Ruetsch, Gregory and Fatica, Massimiliano (2013). [CUDA Fortran for Scientists and Engineers](http://fortranwiki.org/fortran/show/CUDA+Fortran+for+Scientists+and+Engineers). Morgan Kaufmann.

Ruetsch, Gregory and Fatica, Massimiliano (2024). [CUDA Fortran for Scientists and Engineers, 2nd ed.](https://shop.elsevier.com/books/cuda-fortran-for-scientists-and-engineers/ruetsch/978-0-443-21977-1). Morgan Kaufmann.

Saad, Yousef (2003). [Iterative Methods for Sparse Linear Systems, 2nd Edition](https://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf). SIAM

Saad, Yousef (2011). [Numerical Methods for Large Eigenvalue Problems - 2nd Edition](https://www-users.cs.umn.edu/~saad/eig_book_2ndEd.pdf). SIAM

Salmi, Tapio, Johan Wärnå , José Rafael Hernández Carucci and César A. de Araújo Filho (2020). [Chemical Reaction Engineering: A Computer-Aided Approach](https://www.degruyter.com/document/doi/10.1515/9783110611601/html). De Gruyter

Santner, Thomas J., Brian J. Williams, and William I. Notz (2003). [The Design and Analysis of Computer Experiments](https://www.asc.ohio-state.edu/statistics/comp_exp//book.html). Springer

Schattke, Wolfgang, and Ricardo Díez Muiño (2013).[Quantum Monte-Carlo Programming: For Atoms, Molecules, Clusters, and Solids](https://www.wiley.com/en-us/Quantum+Monte+Carlo+Programming%3A+For+Atoms%2C+Molecules%2C+Clusters%2C+and+Solids-p-9783527675326). Wiley.

Schiesser, W. E., and C. A. Silebi (1997). [Computational Transport Phenomena: Numerical Methods for the Solution of Transport Problems](https://www.cambridge.org/us/academic/subjects/engineering/chemical-engineering/computational-transport-phenomena-numerical-methods-solution-transport-problems). Cambridge University Press. Code [here](https://www.lehigh.edu/~wes1/books/ctp/).

Schiesser, W. E. (1993). [Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs](https://www.routledge.com/Computational-Mathematics-in-Engineering-and-Applied-Science-ODEs-DAEs/Schiesser/p/book/9780849373732). CRC. Code [here](https://www.lehigh.edu/~wes1/books/comp_math/README.1ST).

Schiesser, W. E. (1991). [The Numerical Method of Lines: Integration of Partial Differential Equations 1st ed.](https://www.amazon.com/Numerical-Method-Lines-Integration-Differential/dp/0126241309). Academic Press

Schittkowski, Klaus (2002). [Numerical Data Fitting in Dynamical Systems - A Practical Introduction with Applications and Software](http://klaus-schittkowski.de/dyn_sys_book.htm). Kluwer

Schittkowski, Klaus (1987). [More Test Examples for Nonlinear Programming Codes](https://www.springer.com/us/book/9783540171829). Springer. Code [here](http://klaus-schittkowski.de/tpnp.htm)

Schittkowski, Klaus (1980). [Nonlinear Programming Codes: Information, Tests, Performance](https://www.springer.com/us/book/9783540102472). Springer

Schmid, Erich W., Gerhard Spitz, and Wolfgang Losch (1988). [Simulation with GASP-II: A FORTRAN based simulation language](https://link.springer.com/book/10.1007/978-3-642-75471-5). Springer. Reviewed [here](https://aip.scitation.org/doi/10.1063/1.4822844)

Schmidt, Bernd (1987). [Model Construction with GPSS-FORTRAN Version 3](https://www.springer.com/gp/book/9781461291404). Springer.

Scott, L. Ridgway, Terry Clark, and Babak Bagheri (2005). [Scientific Parallel Computing](http://spcbook.cs.uchicago.edu/about.html). Princeton University Press

Sewell, Granville (2018). [Solving Partial Differential Equation Applications with PDE2D](http://www.pde2d.com/). Wiley

Sewell, Granville (2015) [The Numerical Solution of Ordinary and Partial Differential Equations, 3rd Ed.](http://math.utep.edu/Faculty/sewell/odes_pdes/). World Scientific

Sewell, Granville (2014). [Computational Methods of Linear Algebra, 3rd ed.](http://math.utep.edu/Faculty/sewell/computational_methods/). World Scientific

Shampine, Lawrence, and Marilyn Gordon (1975). [Computer Solution of Ordinary Differential Equations: The Initial Value Problem](https://www.amazon.com/Computer-solution-ordinary-differential-equations/dp/0716704617/fortran-wiki-20). Freeman. Code [translated](https://people.sc.fsu.edu/~jburkardt/f_src/ode/ode.html) to Fortran 90 by John Burkardt.

Shashkov, Mikhail (1996). [Conservative Finite-Difference Methods on General Grids](https://www.amazon.com/Conservative-Finite-Difference-Methods-Symbolic-Computation/dp/0849373751). CRC

Shu, Chang (2000). [Differential Quadrature and Its Application in Engineering](https://link.springer.com/book/10.1007/978-1-4471-0407-0). Springer

Sidi, Avram (2003). [Practical Extrapolation Methods: Theory and Applications](https://www.cambridge.org/core/books/practical-extrapolation-methods/21A93C2B0793CF09B2F3ABEF78F3F9B9). Cambridge University Press. Appendix I has a "FORTRAN 77 Program for the d(m)-Transformation".

Sidi, Avram (2017). [Vector Extrapolation Methods with Applications](https://epubs.siam.org/doi/10.1137/1.9781611974966). SIAM. Appendix H has "Unified FORTRAN 77 Code for MPE and RRE".

Singh, Nathi (2017). [Computational Methods for Physics and Mathematics: With Fortran and C Programmes](https://www.amazon.com/Computational-Methods-Physics-N-Kushwaha/dp/1783322128/fortran-wiki-20). Alpha Science

Sinha, Mihir K., and Larry R. Padgett (1985). [Reservoir Engineering Techniques Using Fortran](https://www.springer.com/us/book/9789027719218). Springer

Siouris, George M. (1996). [An Engineering Approach to Optimal Control and Estimation Theory](https://www.wiley.com/en-us/An+Engineering+Approach+to+Optimal+Control+and+Estimation+Theory-p-9780471121268). Wiley

Skiena, Steven (2011). [Algorithm Design Manual, 3rd ed.](https://www.algorist.com/). Fortran codes [here](https://algorist.com/languages/Fortran.html)

Smetana, Frederick O. (1997). [Introductory Aerodynamics and Hydrodynamics of Wings and Bodies: A Software-Based Approach](https://www.amazon.com/gp/product/1563472422/fortran-wiki-20). American Institute of Aeronautics & Astronautics

Smetana, Frederick O. (1981). [Fortran Codes for Classical Methods in Linear Dynamics](https://www.amazon.com/Fortran-Classical-Methods-Linear-Dynamics/dp/0070584400/fortran-wiki-20). McGraw-Hill

Smith, I.M., D. V. Griffiths, and L. Margetts (2013). [Programming the Finite Element Method, 5th Edition](https://www.wiley.com/en-us/Programming+the+Finite+Element+Method%2C+5th+Edition-p-9781119973348). Wiley. Code at Griffiths’ [site](http://inside.mines.edu/~vgriffit/) and [GitHub](https://github.com/ParaFEM/ParaFEM)

Smylie, D. E. (2013). [Earth Dynamics: Deformations and Oscillations of the Rotating Earth](https://www.yorku.ca/smylie/). Cambridge University Press

Snir, Marc and Gropp, William (1998). [MPI - The Complete Reference](http://fortranwiki.org/fortran/show/MPI+-+The+Complete+Reference). The MIT Press.

Späth, Helmuth (1995). [Two Dimensional Spline Interpolation Algorithms](https://www.routledge.com/Two-Dimensional-Spline-Interpolation-Algorithms/Spath/p/book/9780367449926). CRC

Späth, Helmuth (1995). [One Dimensional Spline Interpolation Algorithms](https://www.routledge.com/One-Dimensional-Spline-Interpolation-Algorithms/Spath/p/book/9780367449070). CRC

Späth, Helmuth (1991). [Mathematical Algorithms for Linear Regression](https://www.elsevier.com/books/mathematical-algorithms-for-linear-regression/spath/978-0-12-656460-0). Academic Press. Fortran 90 code at John Burkardt’s [site](https://people.math.sc.edu/Burkardt/f_src/regression/regression.html)

Späth, Helmuth (1980). [Cluster Analysis Algorithms](https://www.amazon.com/Cluster-Analysis-Algorithms-Computers-applications/dp/0470269464/fortran-wiki-20). Halsted Press. Fortran 90 code at John Burkardt’s [site](https://people.sc.fsu.edu/~jburkardt/datasets/spaeth/spaeth.html)

Stearns, Samuel D., and Ruth A. David (1992). [Signal Processing Algorithms in Fortran and C](https://www.amazon.com/Signal-Processing-Algorithms-Fortran-Prentice-Hall/dp/0138126941/fortran-wiki-20). Prentice-Hall

Stroud, Arthur (1971). [Approximate Calculation of Multiple Integrals](https://www.amazon.com/Approximate-Calculation-0130438936-Prentice-Hall-Computation/dp/B004T9BACK). Prentice Hall. Fortran 90 code by John Burkardt [here](https://people.sc.fsu.edu/~jburkardt/f_src/stroud/stroud.html)

Stroud, Arthur, and Don Secrest (1966). [Gaussian Quadrature Formulas](https://www.amazon.com/Gaussian-quadrature-Prentice-Hall-automatic-computation/dp/B0006BNRQ2). Prentice Hall. Fortran 90 code by John Burkardt [here](https://people.sc.fsu.edu/~jburkardt/f_src/stroud/stroud.html) and by Ivan Pribec [here](https://github.com/ivan-pi/stroud_quad)

Szabo, Attila, and Neil S. Ostlund (1989). [Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory](https://store.doverpublications.com/0486691861.html). McGraw-Hill. Code [here](http://www.ccl.net/cca/software/SOURCES/FORTRAN/szabo/index.html)

Tanizaki, Hisashi (2004). [Computational Methods in Statistics and Econometrics](http://www2.econ.osaka-u.ac.jp/~tanizaki/cv/books/cmse/cmse.pdf). CRC Press

Thompson, Erik G. (2004). [Introduction to the Finite Element Method: Theory, Programming and Applications](https://www.wiley.com/en-us/Introduction+to+the+Finite+Element+Method%3A+Theory%2C+Programming+and+Applications-p-9780471267539). Wiley. Fortran and Matlab codes [here](https://higheredbcs.wiley.com/legacy/college/thompson/0471267538/codes/index.html)

Thompson, Ian J., and Filomena M. Nunes (2009). [Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions](http://www.fresco.org.uk/book/reactions.htm). Cambridge University Press

Thompson, William J. (1997). [Atlas for Computing Mathematical Functions: An Illustrated Guide for Practitioners with Programs in FORTRAN and Mathematica](https://www.wolfram.com/books/profile.cgi?id=3844). Wiley

Tikhonov, A.N., Goncharsky, A., Stepanov, V.V., and Yagola, A.G. (1995). [Numerical Methods for the Solution of Ill-Posed Problems](https://www.springer.com/us/book/9780792335832). Springer

Trapp, Michael, and Andreas Öchsner (2018). [Computational Plasticity for Finite Elements: A Fortran-Based Introduction](https://www.springer.com/us/book/9783319772059). Springer

Traub, Joseph (1964). [Iterative Methods for the Solution of Equations](https://www.amazon.com/Iterative-Methods-Solution-Equations-Publication/dp/0828403120) Prentice Hall. Code by John Burkardt [here](https://people.sc.fsu.edu/~jburkardt/f_src/zoomin/zoomin.html)

Vallado, David (2022). [Fundamentals of Astrodynamics and Applications, 5th ed.](https://astrobooks.com/vallado5hb.aspx) Microcosm Press. Code [here](https://celestrak.org/software/vallado-sw.php) and [here](https://github.com/scivision/vallado-astrodynamics)

Villadsen, John, and Michael L. Michelsen (1978). [Solution of Differential Equations Models by Polynomial Approximation](https://www.amazon.com/differential-approximation-Prentice-Hall-international-engineering/dp/0138222053). Prentice-Hall. Modernized code in [stiff3](https://github.com/ivan-pi/stiff3) on GitHub by Ivan Pribec

Vowels, Robin A. (1998). [Algorithms and Data Structures in F and Fortran](http://pages.swcp.com/~walt/fortran_store/Html/Info/books/adsff.html). Unicomp

Walker, Darren (2016). [Computational Physics](https://www.amazon.com/Computational-Physics-Essentials-Darren-Walker/dp/1942270739/fortran-wiki-20). Mercury Learning. Code at [GitHub](https://github.com/DJWalker42/ComputationalPhysicsFortran).

Wang, H. F., and M. P. Anderson (1982). [Introduction to groundwater modeling: Finite difference and finite element methods](https://www.elsevier.com/books/introduction-to-groundwater-modeling/wang/978-0-12-734585-7). Freeman. Code at Wang’s [site](http://geoscience.wisc.edu/geoscience/people/faculty/herb-wang/)

Wang, Xinwei (2015). [Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications](https://www.sciencedirect.com/book/9780128030813/differential-quadrature-and-differential-quadrature-based-element-methods). Elsevier

Watson, Neville, and Jos Arrillaga (2003). [Power Systems Electromagnetic Transients Simulation](https://digital-library.theiet.org/content/books/po/pbpo039e). Institution of Engineering and Technology

Wellek, Stefan (2010). [Testing Statistical Hypotheses of Equivalence and Noninferiority, 2nd ed.](https://www.routledge.com/Testing-Statistical-Hypotheses-of-Equivalence-and-Noninferiority/Wellek/p/book/9781439808184). CRC

Wesseling, Pieter (1992). [An Introduction to Multigrid Methods](https://www.amazon.com/Pieter-Wesseling-Introduction-Multigrid-Methods/dp/B008UBETYE/fortran-wiki-20). Wiley. Code by Wesseling [here](http://www.mgnet.org/mgnet-codes.html)

Weiland, Claus (2010). [Computational Space Flight Mechanics](https://www.springer.com/us/book/9783642135828). Springer

White, Robert E. (1985). [An Introduction to the Finite Element Method with Applications to Nonlinear Problems 1st Ed.](https://www.amazon.com/Introduction-Element-Applications-Nonlinear-Problems/dp/0471809098). Wiley

White, Robert E. (2016). [Computational Mathematics Models, Methods, and Analysis with MATLAB® and MPI, 2nd ed.](https://www.routledge.com/Computational-Mathematics-Models-Methods-and-Analysis-with-MATLAB-and/White/p/book/9781482235159). CRC

Wilde, Richard E., and Surjit Singh (1997). [Statistical Mechanics: Fundamentals and Modern Applications](https://www.wiley.com/en-us/Statistical+Mechanics%3A+Fundamentals+and+Modern+Applications-p-9780471161653). Wiley

Wolfe, Carvel S. (1985). [Linear Programming with BASIC and FORTRAN](https://books.google.com/books/about/Linear_Programming_with_BASIC_and_FORTRA.html?id=vZ0-AQAAIAAJ). Reston Publishing Company

Wolfe, Carvel S. (1973). [Linear programming with Fortran](https://www.amazon.com/Linear-programming-Fortran-Carvel-Wolfe/dp/0673077977). Pearson Scott Foresman

Wright, E. Alaphia (1990). [Open Pit Mine Design Models: Introduction With Fortran 77 Programs](https://www.abebooks.com/servlet/BookDetailsPL?bi=21948034304). Trans Tech Publications

Wu, Lianda, and Mingjiang Zhang (2024). [Hansen Coefficients in Satellite Orbital Dynamics](https://link.springer.com/book/10.1007/978-981-97-0456-9). Springer. Code in [Appendix D](https://link.springer.com/content/pdf/bbm:978-981-97-0456-9/1).

Yanushevsky, Rafael (2019). [Modern Missile Guidance, 2nd ed.](https://www.routledge.com/Modern-Missile-Guidance/Yanushevsky/p/book/9780815384861). CRC

Zarchan, Paul (2007). [Tactical and Strategic Missile Guidance, 5th ed.](https://books.google.com/books/about/Tactical_and_Strategic_Missile_Guidance.html?id=OoVTAAAAMAAJ) American Institute of Aeronautics and Astronautics

Zhou, Xiao-Hua, Donna K. McClish, and Nancy A. Obuchowski (2009). [Statistical Methods in Diagnostic Medicine](https://www.wiley.com/en-us/Statistical+Methods+in+Diagnostic+Medicine-p-9780470317921). Wiley

Zienkiewicz, O.C., R. L. Taylor, and J.Z. Zhu (2013). [The Finite Element Method: Its Basis and Fundamentals

7th Ed.](https://www.elsevier.com/books/the-finite-element-method-its-basis-and-fundamentals/zienkiewicz/978-1-85617-633-0). Oxford. [feappv code at GitHub](https://github.com/sanjayg0/feappv)

Zienkiewicz, O.C., and R. L. Taylor (2013). [The Finite Element Method for Solid and Structural Mechanics, 7th Ed.](https://www.elsevier.com/books/the-finite-element-method-for-solid-and-structural-mechanics/zienkiewicz/978-1-85617-634-7). Elsevier. [feappv code at GitHub](https://github.com/sanjayg0/feappv)

Zong, Zhi, and Yingyan Zhang (2009). [Advanced Differential Quadrature Methods](https://www.routledge.com/Advanced-Differential-Quadrature-Methods/Zong-Zhang/p/book/9781138117907). CRC

Zubairi, Omair and Fridolin Weber (2018). [Introduction to Computational Physics for Undergraduates](https://iopscience.iop.org/book/978-1-6817-4896-2). Morgan & Claypool