NUMERICAL METHODS AND SCIENTIFIC COMPUTATION (IN HINDI)

Name : NUMERICAL METHODS AND SCIENTIFIC COMPUTATION (IN HINDI)

Author : BR THAKUR, HARI KISHAN

Book Format : Paperback

Genre : Science and Mathematics Textbooks

ISBN : 9788195824649

Language : Hindi

Pages : 201-300 Pages

Publish Year : 2023

Publisher : RAM PRASAD PUBLICATIONS

Sub Genre : Mathematics Textbooks

Unit-I Methods for Solving Algebraic and Transcendental Equations : 1.1Ramanujan 1.2Bisection 1.3Regula Falsi 1.4Secant 1.5Newton-Raphson Unit-II Interpolation and Numerical Integration : 2.1Lagrange interpolation 2.2Finite difference operators 2.3Interpolation formula using Differences 2.3.1 Gregory-Newton Forward Difference Interpolation 2.3.2 Gregory-Newton Backward Difference Interpolation 2.4Numerical Integration 2.4.1 Newton-Cote’s formulae 2.4.2 Trapezoidal rule 2.3.2 Simpson’s 1/3 Rule 2.4.4 Simpson’s 3/8 Rule 2.4.5 Gauss Integration Unit-III Methods to Solve System of Linear Equations : 3.1Direct method for solving system of linear equations 3.1.1 Gauss elimination 3.1.2 LU decomposition 3.1.3 Cholesky decomposition 3.2Iterative method 3.2.1 Jacobi 3.2.2 Gauss-Seidel Unit-IV Numerical Solution of Ordinary Differential Equations : 4.1Single step methods 4.1.1 Picard 4.1.2 Taylor’s series 4.1.3 Euler 4.1.4 Runge-Kutta 4.2Multistep methods 4.2.1 Predictor-corrector 4.2.2 Modified Euler 4.2.3 Milne-Simpson

Country of Origin : India