Exploring Numerical Methods: An Introduction to Scientific Computing Using MATLAB

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Jones & Bartlett Learning, 2003 - Computers - 473 pages
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Exploring Numerical Methods is designed to provide beginning engineering and science students, as well as upper-level mathematics students, with an introduction to numerical analysis that emphasizes insight and hands-on experience. To serve the needs of both the younger and the more experienced audience, each chapter begins with an intuitive presentation of motivation and simple algorithms. Topics are developed progressively within each chapter and the advanced material, which reveals underlying theory and discusses complicated methods, is clearly marked. The text takes a focused approach to introducing the more important numerical algorithms and exposes students to partial differential equations by using simple prototypes. This text provides a strong experiential basis for future study.
 

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Contents

Numerical Analysis and Scientific Computing
7
The Solution of Systems of Linear Equations
31
Polynomials and Polynomial Approximations
57
Chapter 5
85
3
125
The Solution of Nonlinear Equations
171
Advanced Matrix Algorithms
209
Eigenvalue Problems
237
Boundary and Eigenvalue Problems for Ordinary
313
Initial Value Problems for Partial
343
Boundary Value Problems for Partial
365
IllConditioned and IllPosed Problems
383
Numerical Computing in MATLAB
413
NASOFT User Manual and Example Scripts
427
Explorations
449
References
465

Initial Value Problems for Ordinary
267

Common terms and phrases

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