Modules for Numerical Methods using Mathematica

Check out the new Numerical Analysis Projects page.

  1. Fixed Point Iteration  
  2. Bisection Method
  3. Regula Falsa
  4. Secant Method
  5. Newton's Method
  6. Taylor Polynomial
  7. Lagrange Polynomial
  8. Newton Polynomial
  9. Hermite Polynomial
  10. Chebyshev Polynomial
  11. Trapezoidal Rule
  12. Simpson's Rule
  13. Romberg Integration
  14. Adaptive Quadrature
  15. Gauss-Legendre Quadrature
  16. Numerical Differentiation
  17. Richardson's Extrapolation
  18. Euler's Method for ODE's
  19. Taylor Series for ODE's
  20. Runge Kutta Method Order 4
  21. Adams Bashforth Moulton
  22. Lotka-Volterra Systems
  23. Pendulum, a 2nd order D.E.
  24. Back Substitution
  25. Gaussian Elimination
  26. Matrix Inversion
  27. A = LU Factorization
  28. Cholesky, Doolittle, Crout
  29. Tri-Diagonal Systems
  30. Least Squares Lines
  31. Least Squares Polynomials
  32. Nonlinear Curve Fitting
  33. The Logistic Curve
  34. Fast Fourier Transform
  35. Cubic Splines
  36. Bézier Curves
  37. Pade Approximation
  38. Shooting Method for BVP
  39. Finite Difference for BVP

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004