Numerical continuation methods : an introduction

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 The Basic Principles of Continuation Methods
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   Chapter 3 Newton’s Method as Corrector
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   Chapter 4 Solving the Linear Systems
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   Chapter 5 Convergence of Euler-Newton-Like Methods
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   Chapter 6 Steplength Adaptations for the Predictor
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   Chapter 7 Predictor-Corrector Methods Using Updating
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   Chapter 8 Detection of Bifurcation Points Along a Curve
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    Chapter 9 Calculating Special Points of the Solution Curve
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    Chapter 10 Large Scale Problems
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    Chapter 11 Numerically Implementable Existence Proofs
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    Chapter 12 PL Continuation Methods
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    Chapter 13 PL Homotopy Algorithms
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    Chapter 14 General PL Algorithms on PL Manifolds
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    Chapter 15 Approximating Implicitly Defined Manifolds
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    Chapter 16 Update Methods and their Numerical Stability