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NUMERICAL METHODS AND SCIENTIFIC COMPUTATION (IN HINDI)

(Paperback)

Hari Kishan, VK Gupta, BR THAKUR, GAJENDRA UJJAINKAR,

RAM PRASAD PUBLICATIONS (Publisher)

Published

2023

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Mathematics and Science Mathematics

By: Hari Kishan, VK Gupta, BR THAKUR, GAJENDRA UJJAINKAR | Publisher: RAM PRASAD PUBLICATIONS | Released: 01 Jan 2023

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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-Coteâ€™s formulae 2.4.2 Trapezoidal rule 2.3.2 Simpsonâ€™s 1/3 Rule 2.4.4 Simpsonâ€™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 Taylorâ€™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