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Solving Ordinary Differential Equations II : Stiff and Differential - Algebraic Problems.

By: Contributor(s): Material type: TextTextSeries: Springer Series in Computational Mathematics SeriesPublisher: Berlin, Heidelberg : Springer Berlin / Heidelberg, 1991Copyright date: ©1991Edition: 1st edDescription: 1 online resource (615 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783662099476
Subject(s): Genre/Form: Additional physical formats: Print version:: Solving Ordinary Differential Equations IILOC classification:
  • QA297-299.4
Online resources:
Contents:
Springer Series in Computational Mathematics 14 -- Solving Ordinary Differential Equations II -- Copyright -- Preface -- Contents -- Chapter IV. Stiff Problems - One-Step Methods -- IV.1. Examples of Stiff Equations -- IV.2. Stability Analysis für Explicit RK Methods -- IV.3. A-Stable Runge-Kutta Methods -- IV.4. Order Stars -- IV.5. Construction of Implicit Runge-Kutta Methods -- IV.6. Diagonally Implicit RK Methods -- IV.7. Rosenbrock-Type Methods -- IV.8. Implementation of Implicit Runge-Kutta Methods -- IV.9. Extrapolation Methods -- IV.10. Numerical Experiments -- IV.11. Contractivity for Linear Problems -- IV.12. B-Stability and Contractivity -- IV.13. Positive Quadrature Formulas and B-Stable RK-Methods -- IV.14. Existence and Uniqueness of IRK Solutions -- IV.15. B-Convergence -- Chapter V. Multistep Methods for Stiff Problems -- V.1. Stability of Multistep Methods -- V.2. "Nearly" A-Stable Multistep Methods -- V.3. Generalized Multistep Methods -- V.4. Order Stars on Riemann Surfaces -- V.5. Experiments with Multistep Codes -- V.6. One-Leg Methods and G-Stability -- V.7. Convergence for Linear Problems -- V.8. Convergence for Nonlinear Problems -- V.9. Algebraic Stability of General Linear Methods -- Chapter VI. Singular Perturbation Problems and Differential Aigebraic Equations -- VI.1. Singular Perturbation and Index 1 Problems -- VI.2. Epsilon Expansions for Exact and RK Solutions -- VI.3. Rosenbrock Methods -- VI.4. Extrapolation Methods -- VI.5. Higher Index Problems -- VI.6. Multistep Methods for Index 2 DAE -- VI.7. Runge-Kutta Methods for Index 2 DAE -- VI.8. Order Conditions for Index 2 DAE -- VI.9. Computation of Multibody Mechanisms -- Appendix. Fortran Codes -- Bibliography -- Symbol Index -- Subject Index.
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Springer Series in Computational Mathematics 14 -- Solving Ordinary Differential Equations II -- Copyright -- Preface -- Contents -- Chapter IV. Stiff Problems - One-Step Methods -- IV.1. Examples of Stiff Equations -- IV.2. Stability Analysis für Explicit RK Methods -- IV.3. A-Stable Runge-Kutta Methods -- IV.4. Order Stars -- IV.5. Construction of Implicit Runge-Kutta Methods -- IV.6. Diagonally Implicit RK Methods -- IV.7. Rosenbrock-Type Methods -- IV.8. Implementation of Implicit Runge-Kutta Methods -- IV.9. Extrapolation Methods -- IV.10. Numerical Experiments -- IV.11. Contractivity for Linear Problems -- IV.12. B-Stability and Contractivity -- IV.13. Positive Quadrature Formulas and B-Stable RK-Methods -- IV.14. Existence and Uniqueness of IRK Solutions -- IV.15. B-Convergence -- Chapter V. Multistep Methods for Stiff Problems -- V.1. Stability of Multistep Methods -- V.2. "Nearly" A-Stable Multistep Methods -- V.3. Generalized Multistep Methods -- V.4. Order Stars on Riemann Surfaces -- V.5. Experiments with Multistep Codes -- V.6. One-Leg Methods and G-Stability -- V.7. Convergence for Linear Problems -- V.8. Convergence for Nonlinear Problems -- V.9. Algebraic Stability of General Linear Methods -- Chapter VI. Singular Perturbation Problems and Differential Aigebraic Equations -- VI.1. Singular Perturbation and Index 1 Problems -- VI.2. Epsilon Expansions for Exact and RK Solutions -- VI.3. Rosenbrock Methods -- VI.4. Extrapolation Methods -- VI.5. Higher Index Problems -- VI.6. Multistep Methods for Index 2 DAE -- VI.7. Runge-Kutta Methods for Index 2 DAE -- VI.8. Order Conditions for Index 2 DAE -- VI.9. Computation of Multibody Mechanisms -- Appendix. Fortran Codes -- Bibliography -- Symbol Index -- Subject Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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