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Solving Ordinary Differential Equations II

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Cover of 'Solving Ordinary Differential Equations II'

Table of Contents

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    Book Overview
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    Chapter 1 Examples of Stiff Equations
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    Chapter 2 Stability Analysis for Explicit RK Methods
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    Chapter 3 Stability Function of Implicit RK-Methods
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    Chapter 4 Order Stars
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    Chapter 5 Construction of Implicit Runge-Kutta Methods
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    Chapter 6 Diagonally Implicit RK Methods
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    Chapter 7 Rosenbrock-Type Methods
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    Chapter 8 Implementation of Implicit Runge-Kutta Methods
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    Chapter 9 Extrapolation Methods
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    Chapter 10 Numerical Experiments
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    Chapter 11 Contractivity for Linear Problems
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    Chapter 12 B-Stability and Contractivity
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    Chapter 13 Positive Quadrature Formulas and B-Stable RK-Methods
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    Chapter 14 Existence and Uniqueness of IRK Solutions
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    Chapter 15 B-Convergence
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    Chapter 16 Stability of Multistep Methods
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    Chapter 17 “Nearly” A-Stable Multistep Methods
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    Chapter 18 Generalized Multistep Methods
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    Chapter 19 Order Stars on Riemann Surfaces
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    Chapter 20 Experiments with Multistep Codes
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    Chapter 21 One-Leg Methods and G-Stability
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    Chapter 22 Convergence for Linear Problems
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    Chapter 23 Convergence for Nonlinear Problems
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    Chapter 24 Algebraic Stability of General Linear Methods
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    Chapter 25 Solving Index 1 Problems
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    Chapter 26 Multistep Methods
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    Chapter 27 Epsilon Expansions for Exact and RK Solutions
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    Chapter 28 Rosenbrock Methods
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    Chapter 29 Extrapolation Methods
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    Chapter 30 Quasilinear Problems
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    Chapter 31 The Index and Various Examples
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    Chapter 32 Index Reduction Methods
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    Chapter 33 Multistep Methods for Index 2 DAE
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    Chapter 34 Runge-Kutta Methods for Index 2 DAE
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    Chapter 35 Order Conditions for Index 2 DAE
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    Chapter 36 Half-Explicit Methods for Index 2 Systems
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    Chapter 37 Computation of Multibody Mechanisms
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    Chapter 38 Symplectic Methods for Constrained Hamiltonian Systems
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Title
Solving Ordinary Differential Equations II
Published by
Springer Berlin Heidelberg, March 2010
DOI 10.1007/978-3-642-05221-7
ISBNs
978-3-64-205220-0, 978-3-64-205221-7
Authors

Hairer, Ernst, Wanner, Gerhard

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 414 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 414 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 <1%
Student > Master 1 <1%
Unknown 412 100%
Readers by discipline Count As %
Mathematics 1 <1%
Engineering 1 <1%
Unknown 412 100%