Scientific computing with ordinary differential equations

by Deuflhard, P., (Peter)

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Title Statements

  • Full title :Scientific computing with ordinary differential equations / Peter Deuflhard, Folkmar Bornemann ; translated by Werner C. Rheinboldt.

Edition Statements

  • Publication Date:©2002.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:New York
  • Language:eng
  • Publication Date:©2002.

Notes

Titre de l'écran-titre (visionné le 22 février 2007).

In : MyiLibrary.

The Physical Object

  • Description:xix, 485 pages : : illustrations ; : 25 cm

Edition Identifiers

  • oclc:ocn289016350
  • LC Classification:QA371.5.D37
  • Dewey Decimal:515/.352/0285

Table of Contents

Cover -- Table of Contents -- Series Preface -- Preface -- Outline -- 1 Time-Dependent Processes in Science and Engineering -- 1.1 Newton's Celestial Mechanics -- 1.2 Classical Molecular Dynamics -- 1.3 Chemical Reaction Kinetics -- 1.4 Electrical Circuits -- Exercises -- 2 Existence and Uniqueness for Initial Value Problems -- 2.1 Global Existence and Uniqueness -- 2.2 Examples of Maximal Continuation -- 2.3 Structure of Nonunique Solutions -- 2.4 Weakly Singular Initial Value Problems -- 2.5 Singular Perturbation Problems -- 2.6 Quasilinear Differential-Algebraic Problems -- Exercises -- 3 Condition of Initial Value Problems -- 3.1 Sensitivity Under Perturbations -- 3.2 Stability of ODEs -- 3.3 Stability of Recursive Mappings -- Exercises -- 4 One-Step Methods for Nonstiff IVPs -- 4.1 Convergence Theory -- 4.2 Explicit Runge-Kutta Methods -- 4.3 Explicit Extrapolation Methods -- Exercises -- 5 Adaptive Control of One-Step Methods -- 5.1 Local Accuracy Control -- 5.2 Control-Theoretic Analysis -- 5.3 Error Estimation -- 5.4 Embedded Runge-Kutta Methods -- 5.5 Local Versus Achieved Accuracy -- Exercises -- 6 One-Step Methods for Stiff ODE and DAE IVPs -- 6.1 Inheritance of Asympto…

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Subjects

Differential equations -- Data processi… Équations différentielles -- Informatiq… Livres électroniques

Writers

Deuflhard, P., (Peter) Bornemann, Folkmar

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