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Basic courses-Sem 1 and 2
Numerical Analysis in Computer Programming (Web)
Syllabus
Co-ordinated by :
IIT Kanpur
Available from :
2009-12-31
Lec :
1
Modules / Lectures
Programming
Programming
Pointers and Arrays
Pointers and Arrays
Pointers
Pointers
Some examples of arrays and pointers
Some examples of arrays and pointers
Dynamic memory allocation
Dynamic memory allocation
Sample programs
Sample programs
Introduction
Introduction
Euler's Method
Example..
Error Estimates and convergence
Error Estimates and convergence
Theorem
Runge-Kutta Method
Runge-Kutta Method
Algorithm: Runge-Kutta Method of order 2
Example
Algorithm (Runge-Kutta) Method of order 4
Example
Predictor - Corrector Methods
Predictor - Corrector Methods
Algorithm (Predictor-corrector Method)
Sample Programs
Sample programs
Numerical analysis I
Some Notations
Norms of Vectors and Matrices
Induced Norms
The Elimination Method
Gaussian Elimination
Numerical analysis II
Numerical Differentiation
Numerical Integration
Difference Notations
Difference Notations
Difference operators
Differentiation Formulas
Derivation of an exact difference formula
Explicit Formulae
Solution of Tridiagonal system
Convergence
Hyperbolic Equation in one space variable
Elliptic equations in two dimensions
Sample programs
Sample programs
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