Numerical methods and algorithms. Experimental.
Matlab programs covering the following areas:
- Numerical analysis
- Approximation theory
- Spectral Methods
- Integration
- Differential Equations
- Geometry
Key Features:
- Numerical linear algebra
- Rootfinders (NR, Muller, Laguerre)
- Polynomial operations (evaluation, arithmethic, composition, rootfinding)
- Quadrature rules (gualeg, gaucheb, gaulag, gauherm, clenshaw-curtis, 2D and 3D)
- Generalized Fourier Series (sine, cosine, Chebyshev, Legendre, Hermite, spherical harmonics)
- Ordinary differential equations (Euler, Runge-Kutta, exponential map)
- Partial differential equations (wave, heat, Navier-Stokes)
- Physical simulations (n-body, molecular dynamics)
- Solitons (NLSE, KdV, Sine-Gordon)