https://github.com/beliavsky/computer-methods-for-mathematical-computations

Code from the book of the same name by Forsythe, Malcolm, and Moler, translated to Fortran 90 by Ralph Carmichael
https://github.com/beliavsky/computer-methods-for-mathematical-computations

book-code cubic-splines fortran fortran90 linear-algebra minimization numerical-integration numerical-methods ode root-finding svd

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Code from the book of the same name by Forsythe, Malcolm, and Moler, translated to Fortran 90 by Ralph Carmichael

• Host: GitHub
• URL: https://github.com/beliavsky/computer-methods-for-mathematical-computations
• Owner: Beliavsky
• License: mit
• Created: 2024-10-27T13:18:05.000Z (3 months ago)
• Default Branch: main
• Last Pushed: 2024-10-27T21:39:18.000Z (3 months ago)
• Last Synced: 2024-12-03T00:17:48.363Z (2 months ago)
• Topics: book-code, cubic-splines, fortran, fortran90, linear-algebra, minimization, numerical-integration, numerical-methods, ode, root-finding, svd
• Language: Fortran
• Homepage:
• Size: 70.3 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Computer Methods for Mathematical Computations

Code from the book of the same name by Forsythe, Malcolm, and Moler, translated to Fortran 90 by [Ralph Carmichael](https://www.pdas.com/fmm.html). Compile with `gfortran fmm.f90 testfunctions.f90 samples.f90`. Also compiles and runs with the ifx, ifort, and g95 compilers. The original routines in fixed format are in `original.f`. Below is a list of procedures, taken from [here](https://www.pdas.com/fmm2.html).

**Name** Description


**Decomp** LU-decomposition of a square matrix


**Solve**	Solves a system of linear equations. Use after Decomp.


**FMMspline**	Fit a cubic spline to data. FMM end conditions.


**NaturalSpline**	Same as FMMspline, but with zero second derivatives at endpoints.


**Seval**	Evaluate a cubic spline at a given point.


**Seval3** Evaluate a cubic spline at a given point. Returns value of spline plus 1st, 2nd, and 3rd derivatives.


**Quanc8** Numerical integration of a function.


**Rkf45**	Solves a system of ordinary differential equations as an initial value problem.


**Zeroin** Find a zero of a function.


**BrentZero**	Same as Zeroin, but with additional dummy arguments.


**Fmin** Find the minimum of a function.


**BrentMin** Same as Fmin, but with additional dummy arguments.


**SVD**	Singular Value Decomposition of a matrix.