Numerical Methods and Programing

Course Description

In this course, P. B. Sunil Kumar, Department of Department of Physics, IIT, Madras (NPTEL), gives 38 video lectures on the basic concepts of Numerical Methods and Programing. Some of the topics covered include: Representation of Numbers, Pointers And Arrays, Cubic Spline Interpolation, Matrix Elimation and Solution, Eigen Values And Eigen Vectors, Gaussian Rules, Numerical Derivations, Partial Differential Equations, Fourier Transforms and many more.

The original name for this course is: Core Science - Numerical Methods and Programing.

P. B. Sunil Kumar in Lecure 10: Error In Interpolation Polynomial.
3 ratings

Video Lectures & Study Materials

# Lecture Play Lecture
1 Programing Basics (57:20) Play Video
2 Introduction to Pointers (57:01) Play Video
3 Pointers And Arrays (1:00:07) Play Video
4 External Functions and Argument Passing (56:25) Play Video
5 Representation of Numbers (56:48) Play Video
6 Numerical Error (56:00) Play Video
7 Error Propagation and Stability (53:02) Play Video
8 Polynomial Interpolation I (59:29) Play Video
9 Polynomial Interpolation II (57:07) Play Video
10 Error In Interpolation Polynomial (56:56) Play Video
11 Polynomial Interpolation (58:10) Play Video
12 Cubic Spline Interpolation (56:25) Play Video
13 Data Fitting: Linear Fit I (54:57) Play Video
14 Data Fitting: Linear Fit II (57:06) Play Video
15 Data Fitting: Non-linear Fit (57:48) Play Video
16 Matrix Elimation and Solution (57:27) Play Video
17 Solution To Linear Equations (57:50) Play Video
18 Matrix Elimination (58:01) Play Video
19 Eigen Values of a Matrix (58:23) Play Video
20 Eigen Values And Eigen Vectors (57:47) Play Video
21 Solving Non-linear Equations (55:43) Play Video
22 Solving Non-linear Equations Newton (58:01) Play Video
23 Methods For Solving Non-Linear Equations (57:29) Play Video
24 System of Non-linear Equations (58:47) Play Video
25 Numerical Derivations (58:53) Play Video
26 High-order Derivatives From Difference Formula (59:50) Play Video
27 Numerical Integration: Basic Rules (58:41) Play Video
28 Comparison of Different Basic Rules (59:10) Play Video
29 Gaussian Rules (59:06) Play Video
30 Comparison of Gaussian Rules (59:13) Play Video
31 Solving Ordinary Differential Equations (58:36) Play Video
32 Solving Ordinary Differential Equations (59:58) Play Video
33 Adaptive Step Size Runge Kutta Scheme (57:54) Play Video
34 Partial Differential Equations (58:36) Play Video
35 Explicit and Implicit Methods (59:01) Play Video
36 The Crank: Nicholson Scheme For Two Spatial (55:50) Play Video
37 Fourier Transforms (1:00:04) Play Video
38 Fast Fourier Transforms (1:00:12) Play Video

Comments

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farhad wrote 10 years ago.
that is good site

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