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]
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