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Linear discrete parabolic problems

This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of dis...

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Bibliographic Details
Main Author: Bakaev, Nikolai Yu
Format: eBook
Language:English
Published: Amsterdam Elsevier 2006, 2006
Edition:1st ed
Series:North-Holland mathematics studies
Subjects:
Runge-kutta Formulas / Fast / (ocolc)fst01101336
Mathematics / Differential Equations / General / Bisacsh
Stability / Http://id.loc.gov/authorities/subjects/sh85127185
Computer Science / Mathematics / Http://id.loc.gov/authorities/subjects/sh85042295
Computer Science / Mathematics / Fast / (ocolc)fst00872460
Méthode De Runge-kutta
Informatique / Mathématiques
Stabilité
Stability / Fast / (ocolc)fst01131203
Équations Différentielles
Differential Equations / Http://id.loc.gov/authorities/subjects/sh85037890
Runge-kutta Formulas / Http://id.loc.gov/authorities/subjects/sh85115854
Differential Equations / Fast / (ocolc)fst00893446
Stability / Aat
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Preface.
  • Part I. EVOLUTION EQUATIONS IN DISCRETE TIME.
  • Preliminaries.
  • Main Results on Stability.
  • Operator Splitting Problems.
  • Equations with Memory.
  • Part II. RUNGE-KUTTA METHODS.
  • Discretization by Runge-Kutta methods.
  • Analysis of Stability.
  • Convergence Estimates.
  • Variable Stepsize Approximations.
  • Part III. OTHER DISCRETIZATION METHODS.
  • The/theta-method.
  • Methods with Splitting Operator.
  • Linear Multistep Methods.
  • Part IV. INTEGRO-DIFFERENTIAL EQUATIONS UNDER DISCRETIZATION.
  • Integro-Differential Equations.
  • APPENDIX.
  • A Functions of Linear Operators.
  • B Cauchy Problems in Banach Space
  • Includes bibliographical references (pages 269-283) and index

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