Krishna’s Fully Solved, Numerical Methods , Edition, 1 .

SYLLABUS- S.S.: NUMERICAL METHODS, Errors in numerical Calculations: Absolute, Relative and Percentage errors, General Error, Error in series approximation.Solutions of Algebraic and Transcendental Equations: Bisection method, False position method, Newton-Raphson Method, Picard’s iteration method.Linear systems of equations: Consistency of Linear System of equations, Solutions of Linear Systems by direct method: Guassian elimination and computation of inverse of a matrix, Method of factorization Solutions of linear systems by iterative methods: Jacobi method, Gauss-Siedel method.Interpolation and curve fitting: Errors in Polynomial interpolation, Finite differences, Differences of a polynomial, Newton’s forward and backward interpolation, Central differences, Gauss, Stirling, Bessel’s and Everett’s Formulae, Lagrange’s Interpolation formula.Numerical differentiation and integration: Numerical differentiation, Newton-Cotes Integration formula, Numerical integration by Trapezoidal rule, Simpson’1/3, Simpson’s 3/8, and Romberg Integration.

Authors: A.R Vasishtha

Date: 2021

Upload Date: 9/30/2021 9:49:07 AM

Format: pdf

Pages: 146



Language: English



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