Media Storage Type : DVD-ROM
NPTEL Course Name : Numerical Analysis
NPTEL Subject Matter Expert : Dr. Sandip Banerjee
NPTEL Co-ordinating Institute : IIT Roorkee
NPTEL Lecture Count : 40
Lecture Titles:
Lecture 1 - Error definition
Lecture 2 - Absolute and relative error
Lecture 3 - Error examples
Lecture 4 - Gauss elimination method
Lecture 5 - Gauss elimination_continued
Lecture 6 - LU decomposition
Lecture 7 - Jacobi and Gauss-Seidal method
Lecture 8 - Ill conditioned equations
Lecture 9 - Power method
Lecture 10 - Inverse power method
Lecture 11 - Tabulation and bosection method
Lecture 12 - Regula Falsi method
Lecture 13 - Fixed point iteration
Lecture 14 - Newton Raphson method
Lecture 15 - Newton Raphson_Two variables
Lecture 16 - Operators, forward and backward differences
Lecture 17 - Examples and divided differences
Lecture 18 - Introduction to various methods of interpolation for equal intervals with examples
Lecture 19 - Newton-Gregory formula for forward interpolation with error
Lecture 20 - Newton-Gregory formula for backward interpolation with error
Lecture 21 - Stirling's formula for central interpolation
Lecture 22 - Bessel's interpolation formula
Lecture 23 - Relationship among various interpolation formulae
Lecture 24 - Divided differences and Langrage's interpolation formula
Lecture 25 - Newton's divided difference formula
Lecture 26 - Inverse interpolation by the use of Langrage formula
Lecture 27 - Method of successive approximations for inverse interpolation
Lecture 28 - 1st and 2nd derivatives for equal intervals with errors
Lecture 29 - Derivatives for unequal intervals
Lecture 30 - Introduction with numerical integration and general quadrature formula
Lecture 31 - Trapezoidal rule with geometrical interpretation and error
Lecture 32 - Simpson's one-third and three-eighth rules with errors
Lecture 33 - Newton-Cotes formulae
Lecture 34 - Romberg integration
Lecture 35 - Gaussian quadrature formulae
Lecture 36 - Picard's method of successive approximations
Lecture 37 - Taylor's series method with error
Lecture 38 - Euler's method with its geometrical interpretation
Lecture 39 - Modified Euler's method with error analysis
Lecture 40 - Runge-Kutta IV-order method