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Numerical_Analysis

Realization of several methods of algebra and analysis.

  1. Partial eigenvalue problem (Shifted inverse iterations)
  2. Trigonometric interpolation
  3. Coordinate relaxation
  4. Trapezoid method for solving integrals
  5. Rotation method
  6. Pade approximation
  7. Best mean-square approximation polynomial (Hermite)
  8. Best mean-square approximation polynomial (Chebyshev)
  9. Interpolation with Linear and Quadratic splines
  10. Chebyshev interpolation for nonlinear eqs
  11. Quadratic interpolation for nonlinear eqs
  12. Partial eigenvalue problem (Coordinate relaxation)
  13. Differential equations (Runge-Kutt)
  14. Gradients methods (minimal residuals, descent, conjugate gradients)
  15. Cubature formula (Interpolation) and Newton's quadrature
  16. Telescopic method with Chebyshev interpolation
  17. Lagrange interpolation