Numerical Analysis in Computer Programming (DVD)

Media Storage Type : DVD-ROM

NPTEL Course Name : Numerical Analysis in Computer Programming

NPTEL Subject Matter Expert : Prof. Rathish Kumar

NPTEL Co-ordinating Institute : IIT Kanpur

NPTEL Lecture Count : 36

Lecture Titles:

Lecture 1 - Programming
Lecture 2 - Pointers and Arrays
Lecture 3 - Pointers
Lecture 4 - Some examples of arrays and pointers
Lecture 5 - Dynamic memory allocation
Lecture 6 - Sample programs
Lecture 7 - Introduction
Lecture 8 - Euler's Method
Lecture 9 - Example..
Lecture 10 - Error Estimates and convergence
Lecture 11 - Theorem
Lecture 12 - Runge-Kutta Method
Lecture 13 - Algorithm (Runge-Kutta) Method of order 2
Lecture 14 - Example
Lecture 15 - Algorithm (Runge-Kutta) Method of order 4
Lecture 16 - Example
Lecture 17 - Predictor - Corrector Methods
Lecture 18 - Algorithm (Predictor-corrector Method)
Lecture 19 - Sample programs
Lecture 20 - Some Notations
Lecture 21 - Norms of Vectors and Matrices
Lecture 22 - Induced Norms
Lecture 23 - The Elimination Method
Lecture 24 - Gaussian Elimination
Lecture 25 - Numerical Differentiation
Lecture 26 - Numerical Integration
Lecture 27 - Difference Notations
Lecture 28 - Difference operators
Lecture 29 - Differentiation Formulas
Lecture 30 - Derivation of an exact difference formula
Lecture 31 - Explicit Formulae
Lecture 32 - Solution of Tridiagonal system
Lecture 33 - Convergence
Lecture 34 - Hyperbolic Equation in one space variable
Lecture 35 - Elliptic equations in two dimensions
Lecture 36 - Sample programs