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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)

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Numerical methods and algorithms. Experimental.

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