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Introduction Applied Numerical Analysihb: An Introduction to Applied Numerical Analysis by M ALI HOOSHYAR is a nonfiction available to read on EtoBox.

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Contents Preface 1. Preliminaries 1.1 Some Basic MATLAB Commands 1.2 Finite Number of Digits and Computational Issues 1.3 Loss of Significant Digits 1.4 Propagation of Errors 1.5 Horner’s Method Exercises 2. Solution of Linear System of Equations 2.1 Partial Pivoting 2.2 Definition of Vector Norms 2.3 Definition of Matrix Norms 2.4 Condition Number 2.5 Rate of Convergence 2.6 Solution of Ax = b via Iterations 2.7 Jacobi Iteration Method 2.8 Gauss–Seidel Iteration Method Exercises 3. Roots of Nonlinear Equations 3.1 The Fixed Point Problem for Scalar Equations 3.2 Roots of Scalar Equations 3.3 Modified Newton–Raphson Method for Multiple Roots 3.4 Roots and Fixed Points of a System of Equations 3.5 Newton–Raphson method for a system of equations 3.6 Scant Method for a System of Equations Exercises 4. Polynomial Approximation and Interpolation 4.1 Lagrange Interpolating Polynomials 4.2 Chebyshev Polynomials 4.3 Spline Interpolation 4.4 Least Square Fitting of Data 4.5 Fourier Series and Trigonometric Polynomials 4.6 Discrete Fourier Series Exercises 5. Differentiation and Integration 5.1 Numerical Differentiation 5.2 Richardson Extrapolation Method 5.3 Numerical Integration 5.4 Compos

Who reads Introduction Applied Numerical Analysihb: An Introduction to Applied Numerical Analysis?

Author

M ALI HOOSHYAR

Publisher

World Scientific Publishing Co Pte Ltd

Published

2024

Language

EN

ISBN

9789811298431

Category

nonfiction