Krishna's Calculus of Finite Differences & Numerical Analysis | 45th Edition | code 214 | 908 Pages: Numerical Analysis

by P.P. Gupta, G.S. Malik, J.P. Chauhan

SYLLABUS - CALCULUS OF FINITE DIFFERENCE & NUMERICAL ANALYSIS. PROGRAMMING IN C Programmer’s Model of a Computer, Algorithms, Flow Charts, Data Types, Arithmetic and Input/Output Instructions, Decisions Control Structures, Decision Statements, Logical and Conditional Operators, Loop, Case Control tructures, Functions, Recursions, Preprocessors, Arrays, Puppetting of Strings, Structures, Pointers, File Formating. NUMERICAL ANALYSIS Solution of Bisection, Secant, Regula Falsi, Newton’s Method, Roots of Polynomials. Lagrange and Hermite Interpolation, Divided Differences, Difference Schemes Interpolation Formulas using Differences. Numerical Differentiation Numerical Newton-Cote‘s Formulas, Gauss Quadrature Formulas, Chebychev’s Formulas. Linear Direct Methods for Solving Systems of Linear Equations (Guass Elimination, LU Decomposition, Cholesky Decomposition), Iterative Methods (Jacobi, Gauss-Seidel, Relaxation Methods). The Algebraic Eigen Value Jacobi’s Method, Given’s Method, Householder’s Method, Power Method, QR Method, Lanczos’ Method. Ordinary Differential Euler Method, Single-step Methods, Runge-Kutta’s Method, Multi-Step Methods, Milne-Simpson Method, Methods Based on Numerical Integration, Methods Based on Numerical Differentiation, Boundary Value Problems, Eigen Value Problems. Different Types of Approximation, Least Square Polynomial Approximation, Polynomial Approximation using Orthogonal Polynomials, Approximation with Trigonometric Functions, Exponential Functions, Chebychew Polynomials, Rational Functions.

Kindle Edition

Published July 10, 2020