Numerical Analysis

• Main Author: Gautschi, Walter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Edition: Second Edition.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Computational Mathematics and Numerical Analysis.; Computational Science and Engineering.; Ordinary Differential Equations.; Numerical Analysis.; Analysis.; Applications of Mathematics.

The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the writing concise, and the autho...

Table of Contents:

• Preface to the Second Edition
• Preface
• Prologue
• Chapter 1. Machine Arithmetic and Related Matters
• Chapter 2. Approximation and Interpolation
• Chapter 3. Numerical Differentiation and Integration
• Chapter 4. Nonlinear Equations
• Chapter 5. Initial Value Problems for ODEs
• - One-Step Methods
• Chapter 6. Initial Value Problems for ODEs
• - Multi-Step Methods
• Chapter 7. Two-Point Boundary Value Problems for ODEs
• References
• Subject Index.