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1. Aitken's Method
2. Bisection Method
3. Cobweb Diagrams
4. Convergence tools
5. Euler's Method
6. Heun's Method
7. Lagrange
8. Interpolation
9. Linear Interpolation
10. Modified Euler
11. Newton Cotes Method
12. Numerical Integration
13. Runge Kutta Order 2
14. Runge Kutta Order 2 (3)
15. Romberg Integration
16. Secant Method
17. Taylor's ODE Method
John Moores University. Main CWIS Site
  

Below are a number of utility files that have been written to perform certain tasks, and are not presently available wth the software.

  1. Aitken's method for accelerating fixed point iteration.
  2. Semi automates the bisection method.
  3. Produces cobweb diagrams.
  4. Shows whether a series of iterates linearly converge.
  5. Performs Euler's method on first order differential equations.
  6. Performs Heun's method on first order differential equations.
  7. Calculates the Lagrangian polynomial through any set of points.
  8. Semi Automates the method of linear interpolation for solving f(x)=0.
  9. Automates the method of linear interpolation for solving f(x)=0
  10. Performs the modified Euler method (Runge Kutta order 2) on first order diff eq's.
  11. Calculates the Newton Cotes Rule for any order up to 20, and beyond with editing.
  12. Performs Riemann, Midpoint, Trapezium, Simpson's rules for numerical integration.
  13. Performs Runge Kutta 2 on two simultaneous first order diff equations
  14. Performs Runge Kutta 2 on three simultaneous first order diff equations
  15. Performs Romberg integration and calculates the Romberg Table, with certain integrals this is faster than DERIVE's internal integral approximator!!!
  16. Performs the Secant method on any equation of the form f(x)=0.
  17. Perfroms Taylor's Method for solving ODE's