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Intro | Differentiation | Nonlinear Eqns | Simul Linear Eqns | Interpolation | Regression | Integration | ODE |
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TEXTBOOK: NUMERICAL METHODS WITH APPLICATIONS Abridged Print Version Available
Authors: Autar K Kaw | Co-Author: Egwu E Kalu | Future Co-Author: Duc Nguyen Contributors: Glen Besterfield, Sudeep Sarkar, Henry Welch, Ali Yalcin | Future Contributor: Venkat Bhethanabotla
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1: Introduction, Approximation and Errors |
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Chapter 01.01 Introduction to Scientific Computing [PDF] [DOC] [MORE] Chapter 01.02 Measuring Errors [PDF] [DOC] [MORE] Chapter 01.03 Sources of Error [PDF] [DOC] [MORE] Chapter 01.04 Binary Representation of Numbers [PDF] [DOC] [MORE] Chapter 01.05 Floating Point Representation [PDF] [DOC] [MORE] Chapter 01.06 Propagation of Errors [PDF] [DOC] [MORE] Chapter 01.07 Taylor Series Revisited [PDF] [DOC] [MORE]
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2: Differentiation |
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Chapter 02.01 Primer on Differential Calculus [PDF] [DOC] Chapter 02.02 Differentiation of Continuous Functions [PDF] [DOC] [MORE] Chapter 02.03 Differentiation of Discrete Functions [PDF] [DOC] [MORE]
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3: Nonlinear Equations |
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Chapter 03.01 Solving Quadratic Equations Exactly [PDF] [DOC] [MORE] Chapter 03.02 Solving Cubic equations Exactly [PDF] [DOC] Chapter 03.03 Bisection Method [PDF] [DOC] [MORE] Chapter 03.04 Newton-Raphson Method [PDF] [DOC] [MORE] Chapter 03.05 Secant Method [PDF] [DOC] [MORE]
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4: Simultaneous Linear Equations |
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Chapter 04.01 Introduction [PDF] [DOC] Chapter 04.02 Vectors [PDF] [DOC] Chapter 04.03 Binary Matrix Operations [PDF] [DOC] Chapter 04.04 Unary Matrix Operations [PDF] [DOC] Chapter 04.05 System of Equations [PDF] [DOC] Chapter 04.06 Gaussian Elimination Method [PDF] [DOC] [MORE] Chapter 04.07 LU Decomposition Method [PDF] [DOC] [MORE]
Chapter 04.08 How does Gauss-Seidel method work?
[PDF] [DOC]
[MORE] Chapter 04.10 Eigenvalues and Eigenvectors [PDF] [DOC]
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5: Interpolation |
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Chapter 05.01 History of Interpolation [PDF] [DOC] Chapter 05.02 Direct Method [PDF] [DOC] [MORE] Chapter 05.03 Newton's Divided Difference Method [PDF] [DOC] [MORE] Chapter 05.04 Lagrange Method [PDF] [DOC] [MORE] Chapter 05.05 Spline Method [PDF] [DOC] [MORE] Chapter 05.06 The lurking dangers of extrapolation! [PDF] [DOC] Chapter 05.07 Why is higher order interpolation a bad idea? [PDF] [DOC] Chapter 05.08 Why do we need spline interpolation [PDF] [DOC] Chapter 05.09 How choice of points of interpolation affects approximations! [PDF] [DOC] Chapter 05.10 How splines can help in developing a shorter path for a robot! [PDF] [DOC]
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6: Regression |
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Chapter 06.01 Primer on statistical terminology [PDF] [DOC] Chapter 06.02 Introduction to Regression [PDF] [DOC] Chapter 06.03 Linear Regression [PDF] [DOC] [MORE] Chapter 06.04 Nonlinear Regression [PDF] [DOC] [MORE]
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7: Integration |
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Chapter 07.01 Primer on Integral Calculus [PDF] [DOC]
Chapter 07.02 Trapezoidal Rule
[PDF]
[DOC]
[MORE]
Chapter 07.04 Romberg Rule
[PDF]
[DOC]
[MORE]
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8: Ordinary Differential Equations |
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Chapter 08.01 Primer on Ordinary Differential Equations [PDF] [DOC] Chapter 08.02 Euler's method [PDF] [DOC] [MORE] Chapter 08.03 Runge-Kutta 2nd order method [PDF] [DOC] [MORE] Chapter 08.04 Runge-Kutta 4th order method [PDF] [DOC] [MORE] Chapter 08.05 On solving higher order & coupled ordinary differential equations [PDF] [DOC] Chapter 08.06 Shooting Method [PDF] [DOC] [MORE] Chapter 08.07 Finite Difference Method [PDF] [DOC] [MORE]
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9: Fast Fourier Transforms |
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2009 |
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10: PARTIAL DIFFERENTIAL EQUATIONS |
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2010 |
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11: optimization |
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2010 |
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