##NumericalAnalysis

Personal implementations of algorithms discussed in the book *Numerical Analysis 10th edition * by Richard L. Burden.

• Root (a1.py)
  • Bisection Method
  • Fixed Point Iteration
• Derivative (a3.py, a4.py)
  • most basic method?
  • Three point formula. Forward difference formula used in the examples
• Integration (a6.py)
  • Composite Trapezoid
  • Composite Simpson's Rule
  • Romberg's Method
• Differential Equations - ODE's
  • Euler's Method (a6.py)
  • Taylor's Method of Order 2,4 (a7.py)
  • Modified Taylor's Method (a7.py)
  • Runge-Kutta Method of Order 4 (a7.py)
  • Runge-Kutta Method for Systems of Equations (a8.py)
• Matrices
  • Gaussian Elimination - showing steps (a8n.py)
  • LU Decomposition of Crout Reduction (a9.py)

Import a file and then just call the functions you want. Other functions start with 'p' followed by a number indicate examples. Specifically, they are examples in the book. Some come with page numbers.