Numerical Methods Power Point Presentations

POWER POINT PRESENTATIONS

INTRODUCTION TO SCIENTIFIC COMPUTING

Introduction to numerical methods [PDF] [PPT]

Measuring errors [PDF] [PPT]

Sources of error [PDF] [PPT]

Binary representation of numbers [PDF] [PPT]

Floating point representation of numbers [PDF] [PPT]

Propagation of errors [PDF] [PPT]

Taylor series [PDF] [PPT]

differentiation

Continuous functions [PDF] [PPT]

Discrete functions [PDF] [PPT]

Effect of step size on accuracy of numerical first derivative: Forward Divided Difference [PDF] [PPT]

Effect of step size on accuracy of numerical first derivative Backward Divided Difference [PDF] [PPT]

Effect of step size on accuracy of numerical first derivative: Central Divided Difference [PDF] [PPT]

NONLINEAR EQUATIONS

Bisection Method [PDF] [PPT]

Newton-Raphson Method [PDF] [PPT]

Secant Method [PDF] [PPT]

SIMULTANEOUS LINEAR Equations

Gaussian Elimination [PDF] [PPT]

LU Decomposition method [PDF] [PPT]

Gauss-Seidel method [PDF] [PPT]

Interpolation

Direct Method [PDF] [PPT]

Newton's Divided Difference Method [PDF] [PPT]

Lagrange Method [PDF] [PPT]

Spline Method [PDF] [PPT]

REGRESSION

Linear Regression [PDF] [PPT]

Nonlinear regression [PDF] [PPT]

Integration

Trapezoidal Rule [PDF] [PPT]
Simpson's 1/3rd Rule [PDF] [PPT]

Romberg Rule [PDF] [PPT]
Gauss-Quadrature Rule [PDF] [PPT]

ordinary differential equations

Euler's Method [PDF] [PPT]

Runge-Kutta 2nd order Method [PDF] [PPT]

Runge-Kutta 4th order Method [PDF] [PPT]
Shooting Method [PDF] [PPT]

Finite Difference Method [PDF] [PPT]

OPTIMIZATION

Golden Section Search Method [PDF] [PPT]

Newton's Method [PDF] [PPT]

Multidimensional Direct Search Method [PDF] [PPT]

Multidimensional Gradient Method [PDF] [PPT]

PARTIAL DIFFERENTIAL equations

Introduction to Partial Differential Equations [PDF] [PPT]

Parabolic Partial Differential Equations [PDF] [PPT]

Elliptic Partial Differential Equations [PDF] [PPT]

FAST FOURIER TRANSFORMS

Introduction to Fourier Series [PDF] [PPT]

Continuous Fourier Series [PDF] [PPT]

Fourier Transform Pair [PDF] [PPT]

Discrete Fourier Transform [PDF] [PPT]

Informal Development of Fast Fourier Transform [PDF] [PPT]