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Intro | Differentiation | Nonlinear Eqns | Simul Linear Eqns | Interpolation | Regression | Integration | ODE

INTRODUCTION TO SCIENTIFIC COMPUTING

     Introduction

     Measuring Errors

     Sources of Error

     Binary Representation

     Floating Pt Representation

     Propagation of Errors

     Taylor Theorem Revisited

DIFFERENTIATION

     Primer on Differentiation

     Continuous Function

     Discrete Function

Nonlinear Equations

    Bisection Method

     Newton-Raphson Method

     Secant Method

SIMULTANEOUS LINEAR EQUATIONS

    Gaussian Elimination

     Gauss-Seidel Method

     LU Decomposition

Interpolation

    Direct Method

     Newton's Divided Difference Method

     Lagrange Method

     Spline Method

REGRESSION

     Linear Regression

     Nonlinear Regression

Integration

    Trapezoidal Rule

     Simpson's 1/3rd Rule

     Romberg Integration

     Gauss-Quadrature Rule

     Discrete Data Integration

     Improper Integration

ORDINARY DIFFERENTIAL EQUATIONS

    Euler's Method

     Runge-Kutta 2nd Order Method

     Runge-Kutta 4th Order Method

     Finite Difference Method

     Shooting Method

Resources

    Resources : Text links, Drop Down Box List

     Comprehensive List of Numerical Methods

     EBooks

     Videos

     Blog

     Background Primers

     Numerical Methods with Applications Textbook

     Introduction to Matrix Algebra Textbook

     Power Point Presentations
     Simulations
     Multiple Choice Questions
     Physical Problems for Numerical Methods

     Search

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