Krishna’s TB Numerical Methods , Edition

SYLLABUS- 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
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 9:43:33 AM

Format: pdf

Pages: 257



Language: English



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