Krishna's Numerical Analysis & Programming in C|Edition-1C|Pages-448|Code-849

by A.R. Vasishtha

SYLLABUS- NUMERICAL ANALYSIS & PROGRAMMING IN C, Unit-I Solution of bisection, Secant, Regula Falsi, Newton Raphson's method, Roots of polynomials. Interpolation, Lagrange and Hermite interpolation, Divided differences, Difference schemes, Interpolation formula using differences, Numerical differentiation. Unit-II Numerical Newton Cotes Formulas, Gauss Quadrature Formulas, Chebyshev's Formulas, Linear Direct method for solving systems of linear equations (Gauss elimination, LU Decomposition, Cholesky Decomposition), Iterative methods (Jacobi, Gauss Seidel, Relaxation methods). The Algebraic Eigenvalue Jacobi's method, Givens method, Householder's method, Power method, QR method, Lanczos' method. Unit-III Numerical solution of Ordinary differential Euler method, single step methods, Runge-Kutta method, Multi-step methods, Milne-Simpson method, Methods based on Numerical integration, Methods based on numerical differentiation, boundary value problems, Eigenvalue problems. Different types of approximation, Least square polynomial approximation, Polynomial approximation using Orthogonal Polynomials, Approximation with Trigonometrical functions, Exponential functions, Chebyshev Polynomials, Rational Functions. Unit-IV Programming in Programmer’s model of computer, Algorithms, Data type, Arithmetic and input/out instruction, Decisions, Control structures, Decision statements, Logical and conditional operators, Loop case control structures, Functions, Recursion, Preprocessors, Arrays, Puppetting of strings Structures, Pointers, File formatting.

Kindle Edition

Published April 2, 2021