Computational Science and Engineering

✍ Scribed by Gilbert Strang

• Publisher: Wellesley-Cambridge Press
• Year: 2007
• Tongue: English
• Leaves: 727
• Edition: 1
• Category: Library

✦ Synopsis

This book presents the full range of computational science and engineering -- the equations, numerical methods, and algorithms with MATLAB?® codes. The author has taught this material to thousands of engineers and scientists. The book is solution-based and not formula-based: it covers applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis, optimization, and more. Contents Chapter 1: Applied Linear Algebra; Chapter 2: A Framework for Applied Mathematics; Chapter 3: Boundary Value Problems; Chapter 4: Fourier Series and Integrals; Chapter 5: Analytic Functions; Chapter 6: Initial Value Problems; Chapter 7: Solving Large Systems; Chapter 8: Optimization and Minimum Principles.

✦ Table of Contents

Table of Contents
......Page 4
1. Applied Linear Algebra
......Page 12
2. A Framework for Applied Mathematics
......Page 109
3. Boundary Value Problems......Page 240
4. Fourier Series and Integrals
......Page 328
5. Analytic Functions
......Page 414
6. Initial Value Problems
......Page 467
7. Solving Large Systems
......Page 562
8. Optimization and Minimum Principles
......Page 609
Computational Science and Engineering
......Page 705
Bibliography
......Page 709
Index
......Page 715