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MATLAB

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)