Introduction to Scientific Computing
Introduction to Numerical Methods [HTML] [PDF] [DOC]
Measuring Errors [HTML] [PDF] [DOC]
Sources of Error [HTML] [PDF] [DOC]
Binary Representation of Numbers [HTML] [PDF] [DOC]
Floating Point Representation of Numbers [HTML] [PDF] [DOC]
Propagation of Errors [HTML] [PDF] [DOC]
Taylor Series Revisited [HTML] [PDF] [DOC]
Differentiation
Continuous Functions [HTML] [PDF] [DOC]
Discrete Functions [HTML] [PDF] [DOC]
Nonlinear Equations
Bisection Method [HTML] [PDF] [DOC]
Newton-Raphson Method [HTML] [PDF] [DOC]
Secant Method [HTML] [PDF] [DOC]
Simultaneous Linear Equations
Gaussian Elimination [HTML] [PDF] [DOC]
LU Decomposition [HTML] [PDF] [DOC]
Gauss-Seidel Method [HTML] [PDF] [DOC]
Interpolation
Direct Method [HTML] [PDF] [DOC]
Newton’s Divided Difference Method [HTML] [PDF] [DOC]
Lagrange Method [HTML] [PDF] [DOC]
Spline Method [HTML] [PDF] [DOC]
Regression
Linear Regression [HTML] [PDF] [DOC]
Nonlinear Regression [HTML] [PDF] [DOC]
Integration
Trapezoidal method [HTML] [PDF] [DOC]
Simpson’s 1/3rd Rule method [HTML] [PDF] [DOC]
Romberg method [HTML] [PDF] [DOC]
Gauss-Quadrature method [HTML] [PDF] [DOC]
Ordinary Differential Equations
Euler’s method [HTML] [PDF] [DOC]
Runge-Kutta 2nd order method [HTML] [PDF] [DOC]
Runge-Kutta 4th order method [HTML] [PDF] [DOC]
Shooting Method [HTML] [PDF] [DOC]
Finite Difference Method [HTML] [PDF] [DOC]
Optimization
Golden Section search method [HTML] [PDF] [DOC]
Newton’s method [HTML] [PDF] [DOC]
Multidimensional Direct search method [HTML] [PDF] [DOC]
Multidimensional Gradient search method [HTML] [PDF] [DOC]
Partial Differential Equations
Fast Fourier Transforms
Continuous Fourier Series [HTML] [PDF] [DOC]
Fourier Transform Pair [HTML] [PDF] [DOC]
Discrete Fourier Transform [HTML] [PDF] [DOC]
Informal Development of Fast Fourier Transform [HTML] [PDF] [DOC]