Numerical Analysis 248Y8XBS38

URI	`m2://res/248Y8XBS38`
Kind	course
Creators	Sandip Banerjee (instructor), Roshan Lal (instructor)
Scope	in
Ids	course 00582g326:111107062

Expressions

e1: edition

Language	en

m1: page, IIT Roorkee (record). nptel 111107062

Contents

part 1: Computational Error
session 1: Error definition
session 2: Absolute and relative error
session 3: Error examples
part 2: Solutions of system of linear equations
session 4: Gauss elimination method
session 5: Gauss elimination_continued
session 6: LU decomposition
session 7: Jacobi and Gauss-Seidal method
session 8: Ill conditioned equations
part 3: Eigen values and eigen vectors
session 9: Power method
session 10: Inverse power method
part 4: Roots of non-linear equations
session 11: Tabulation and bosection method
session 12: Regula Falsi method
session 13: Fixed point iteration
session 14: Newton Raphson method
session 15: Newton Raphson_Two variables
part 5: Finite Differences
session 16: Operators, forward and backward differences
session 17: Examples and divided differences
part 6: Interpolation
session 18: Introduction to various methods of interpolation for equal intervals with examples
session 19: Newton-Gregory formula for forward interpolation with error
session 20: Newton-Gregory formula for backward interpolation with error
session 21: Stirling's formula for central interpolation
session 22: Bessel's interpolation formula
session 23: Relationship among various interpolation formulae
session 24: Divided differences and Langrage's interpolation formula
session 25: Newton's divided difference formula
session 26: Inverse interpolation by the use of Langrage formula
session 27: Method of successive approximations for inverse interpolation
part 7: Numerical Differentiation
session 28: 1st and 2nd derivatives for equal intervals with errors
session 29: Derivatives for unequal intervals
part 8: Numerical Integration
session 30: Introduction with numerical integration and general quadrature formula
session 31: Trapezoidal rule with geometrical interpretation and error
session 32: Simpson's one-third and three-eighth rules with errors
session 33: Newton-Cotes formulae
session 34: Romberg integration
session 35: Gaussian quadrature formulae
part 9: Numerical solution of ODE of first order
session 36: Picard's method of successive approximations
session 37: Taylor's series method with error
session 38: Euler's method with its geometrical interpretation
session 39: Modified Euler's method with error analysis
session 40: Runge-Kutta IV-order method

Catalogue records

nptel: 111107062 (manifestation)