Numerical Methods and Programing by P. B. Sunil Kumar (IIT Madras)

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source: nptelhrd    2008年1月18日
Numerical Methods and Programing by Prof. P. B. Sunil Kumar, Department of Physics, IIT Madras.

Lecture 1 - Programing Basics 57:21
Lecture 2 - Introduction to Pointers 57:01
Lecture 3 - Pointers And Arrays 1:00:08
Lecture 4 - External Functions and Argument Passing 56:26
Lecture 5 - Representation of Numbers 56:48
Lecture 6 - Numerical Error 56:01
Lecture 7 - Error Propagation and Stability 53:03
Lecture 8 - Polynomial Interpolation-1 59:29
Lecture 9 - Polynomial Interpolation-2 57:08
Lecture 10 - Error In Interpolation Polynomial 56:56
Lecture 11 - Polynomial Interpolation 58:11
Lecture 12 - Cubic Spline Interpolation 56:26
Lecture 13 - Data Fitting : Linear Fit 54:59
Lecture 14 - Data Fitting : Linear Fit 57:06
Lecture 15 - Data Fitting : Non Linear Fit 57:48
Lecture 16 - Matrix Elimation and Solution 57:27
Lecture 17 - Solution To Linear Equations 57:51
Lecture 18 - Matrix Elimination 58:01
Lecture 19 - Eigen Values of A Matrix 58:24
Lecture 20 - Eigen Values And Eigen Vectors 57:48
Lecture 21 - Solving NonLinear Equations 55:43
Lecture 22 - Solving NonLinear Equations Newton 58:02
Lecture 23 - Methods For Solving NonLinear Equations 57:30
Lecture 24 - System of NonLinear Equations 58:48
Lecture 25 - Numerical Derivations 58:54
Lecture 26 - High order Derivatives From Difference Formula 59:50
Lecture 27 - Numerical Integration - Basic Rules 58:42
Lecture 28 - Comparison of Different Basic Rules 59:11
Lecture 29 - Gaussian Rules 59:06
Lecture 30 - Comparison of Gaussian Rules 59:14
Lecture 31 - Solving Ordinary Differential Equations 58:37
Lecture 32-Solving ordinary differential equations 59:59
Lecture 33 - Adaptive step size Runge Kutta scheme 57:54
Lecture 34 - Partial Differential Equations 58:37
Lecture 35 - Explicit and Implicit Methods 59:01
Lecture - 36 The Crank - Nicholson Scheme For Two Spatial 55:50
Lecture 37 - Fourier Transforms 1:00:05
Lecture 38 Fast Fourier Transforms 1:00:13