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· 제목 : Introduction to Numerical Continuation Methods (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미분방정식 > 편미분방정식
· ISBN : 9780898715446
· 쪽수 : 388쪽
· 출판일 : 1987-01-01
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미분방정식 > 편미분방정식
· ISBN : 9780898715446
· 쪽수 : 388쪽
· 출판일 : 1987-01-01
목차
- Table of Pseudo Codes
- Preface to the Classics Edition
- Foreword
- Chapter 1: Introduction
- Chapter 2: The Basic Principles of Continuation Methods
- Chapter 3: Newton's Method as Corrector
- Chapter 4: Solving the Linear Systems
- Chapter 5: Convergence of Euler-Newton-Like Methods
- Chapter 6: Steplength Adaptations for the Predictor
- Chapter 7: Predictor-Corrector Methods Using Updating
- Chapter 8: Detection of Bifurcation Points Along a Curve
- Chapter 9: Calculating Special Points of the Solution Curve
- Chapter 10: Large Scale Problems
- Chapter 11: Numerically Implementable Existence Proofs
- Chapter 12: PL Continuation Methods
- Chapter 13: PL Homotopy Algorithms
- Chapter 14: General PL Algorithms on PL Manifolds
- Chapter 15: Approximating Implicitly De¯ned Manifolds
- Chapter 16: Update Methods and their Numerical Stability
- Appendix 1: A Simple PC Continuation Method
- Appendix 2: A PL Homotopy Method
- Appendix 3: A Simple Euler Newton Update Method
- Appendix 4: A Continuation Algorithm for Handling Bifurcation
- Appendix 5: A PL Surface Generator
- Appendix 6: SCOUT | Simplicial Continuation Utilities
- Bibliography
- Index and Notation.
