Ecosyste.ms: Awesome
An open API service indexing awesome lists of open source software.
awesome-numerics
Resources for learning about numerical methods.
https://github.com/comp-physics/awesome-numerics
Last synced: 2 days ago
JSON representation
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Linear algebra refresher
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Interpolation
- Online text from Fundamentals of Numerical Computation
- Check out this SE.math Q/A - of-cubic-spline-interpolation-over-cubic-hermite-interpolation)
- Quasar Chunawala's comments on the topic!
- Nicholas Marshall of Oregon State
- that Runge - interpolation/)
- zoology
- polynomial interpolation - chebyshev.html), and [splines](https://drlvk.github.io/nm/chapter-spline-interpolation.html)
- Jacob Bishop
- Mike Pound (computerphile)
- Andreas Klöckner of UIUC (python)
- Chebfun!
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Numerical integration and quadrature
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Least squares
- Steve Brunton on linear systems, least squares, and more (video)
- Strang on four ways to solve least squares problems (video)
- Least Squares via QR with John Lambert
- Gil Strang on Gram-Schmidt (video)
- Gram-Schmidt and loss of orthogonality
- Blog on QR from TDS, Ben Denis Shaffer
- Arnold Yim on QR (video)
- A linear alg. explanation of projectors from Ross MacAusland
- Online text from Fundamentals of Numerical Computation
- Andreas Klöckner on several methods: QR, Householder, Givens, Gram-Schmidt, and more (Python)
- QR via Householder (Python)
- QR and its flavors (Matlab)
- QR from Trefethen and Bau's book in ipynb (Matlab)
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Eigenvalues
- 3Blue1Brown (video)
- Lecture notes from Yin Zhang of Rice
- Similar matrices (video)
- Symmetric matrices (video)
- From Peter J. Olver of UMinnesota
- Why we don't use characteristic polynomials to compute eigenvalues in practice, at least for large matrices
- Slides from Sanjeev Kumar of UCSD
- Slides from Karl Meerbergen of WSC
- Lecture from Slim Belhaiza of KFUPM (video)
- Lecture from Martijn Anthonissen of TUe (video)
- Notes from Tin-Yau Tam of Auburn
- Wikipedia entry
- Part 1
- Lecture from Jacob Bishop (video)
- Lecture notes from of Jeffrey Wong of Duke
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Error analysis
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Floating point numbers
- Computerphile (video)
- IEEE standards (video)
- GeeksForGeeks
- Google bfloat
- NVIDIA tf32
- Tesla cfloat
- Posits, discussed by John Cook
- Avoiding catastrophic cancellation with quadratic formula
- Lecture notes from Richard Krueger of UT
- What Every Computer Scientist Should Know About Floating-Point Arithmetic by David Goldberg
- Rounding and chopping to a floating point number by Ming Gu
- Lecture slides on floating point rounding by Bei Wang
- A Primer on Floating-Point Arithmetic and IEEE 754 in C/Cpp
- Examples of cancellation and floating point numbers from Andreas Klöckner of UIUC (Python)
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Linear systems
- Overview of solving linear systems from Chen Greif
- Online text from Fundamentals of Numerical Computation
- Greg Gundersen
- John Cook
- SciComp StackExchange Q/A
- John Foster (video) - methods-book/LinearAlgebra_DirectSolvers.html)
- thenumericalmethodsguy (videos)
- Lecture notes from CCNY Math
- Vanilla linpack discussion
- High performance linpack (HPL)
- Examples from Andreas Klöckner of UIUC (Python)
- LU Decomp. via Doolittle from Quantstart (Python)
- LU from John Foster (Python)
- LU in Matlab
- Computing Reduced Row Echelon Form from Stelios Sfakianakis (Python)
- Computing LU and tridiagonal solves in (Matlab) from ashsepra
- Sherman Morrison formula (Python)
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Solving nonlinear equations
- is the golden ratio
- Homer Reid
- Kendall Atkinson (UIowa)
- Fabrice Collard (Toulouse)
- Online text from Fundamentals of Numerical Computation
- Joseph Mahaffy of SDSU
- George Kocur (MIT)
- Alek Donev (NYU Courant)
- 2D Newton iteration
- SamuraiMath (video)
- Oscar Veliz (video)
- Jeff Chasnov (video)
- Andreas Klöckner of UIUC (python)
- Hub on IT (python)
- Tim Kelly (Matlab)
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Optimization
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Initial value problems
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Ordinary differential equations
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Partial differential equations
Categories
Linear systems
17
Solving nonlinear equations
15
Eigenvalues
15
Floating point numbers
14
Least squares
13
Interpolation
11
Optimization
9
Numerical integration and quadrature
9
Error analysis
5
Initial value problems
4
Ordinary differential equations
2
Linear algebra refresher
2
Partial differential equations
1
Sub Categories