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Scientific computing with ordinary differential equations /

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This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. This book strictly presents numerical analysis as a part of the more general field of scientific computing. Important algorithmic concep...

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Bibliographic Details
Main Author: Deuflhard, P. (Peter)
Corporate Author: SpringerLink (Online service)
Other Authors: Bornemann, Folkmar, 1967-
Format: eBook
Language:English
Published: New York : Springer, [2002]
Series:Texts in applied mathematics ; 42.
Subjects:
Differential equations > Data processing.
Équations différentielles > Informatique.
Equações diferenciais.
Analise numerica.
Gewöhnliche Differentialgleichung.
Wissenschaftliches Rechnen.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Mathematical Models of Time-dependent Processes
  • Existence and Uniqueness of Initial-Value Problem
  • Stability with respect to Problem data
  • Explicit One-step Methods
  • Step-size Control in One-step Methods
  • One-step Methods for Stiff Initial-Value Problems
  • Multistep Methods
  • Software.