-
Analysis
- Quadrature
- Midpoint rule
- Trapezoidal rule
- Simpson rule
- Gauss Legendre, including Golub-Welsch
- All Rules in arbitrary dimensions
- ODEs
- Explicit euler
- Implicit euler
- Implicit midpoint
- Implicit trapezoidal
- Velocity verlet
- Taylor methods of arbitrary order
- Arbitrary Rungekutta methods
- Collocation points to Butcher tableau
- Splitting methods
- Rosebrock-Wanner 23 adaptive method
- Exponential euler
- Krylov-Subspace solver for linear ODEs
- Solving Equations
- Secant
- Newton
- Broyden
- Quadrature
-
Linear Algebra
- QR-Decomposition
- Householder
- Givens
- Gram-Schmidt
- Modified Gram-Schmidt
- Cholesky-Decomposition
- Eingenvalue/vector calculation
- QR-Iteration
- Power methods
- Least Squares
- Linear via QR, SVD or normal form
- Total linear lstsq via SVD
- Newton
- Gauss-Newton
- QR-Decomposition
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