Analysis of Numerical Methods

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Eugene Isaacson, Herbert Bishop Keller
8,7 MB
Analysis of Numerical Methods.pdf


In this age of omnipresent digital computers and their capacity for implementing numerical methods, no applied mathematician, physical scientist, or engineer can be considered properly trained without some understanding of those methods. This text, suitable for advanced undergraduate and graduate-level courses, supplies the required knowledge - not just by listing and describing methods, but by analyzing them carefully and stressing techniques for developing new methods. Based on each author's more than 40 years of experience in teaching university courses, this book offers lucid, carefully presented coverage of norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation, numerical solution of differential equations, and more. No mathematical preparation beyond advanced calculus and elementary linear algebra (or matrix theory) is assumed. Examples and problems are given that extend or amplify the analysis in many cases.

The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book ... The app is a complete free handbook of Numerical Methods & Analysis which covers important topics, notes, materials & news on the course.

Examples for such problems are the Navier-Stokes equations or the Three-body problem; There is a way to solve a problem using calculus. Getting an exact solution is ... The 4th edition of Introductory Methods of Numerical Analysis is thoroughly revised and updated with references to MATLAB, IMSL, and Numerical Recipes program libraries.