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
Call Number:Libro Electrónico
Main Author: Bakaev, Nikolai Yu
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier, 2006.
Edition:1st ed.
Series:North-Holland mathematics studies ; 203.
Subjects:
Stability.
Runge-Kutta formulas.
Differential equations.
Computer science > Mathematics.
Stabilit�e.
M�ethode de Runge-Kutta.
�Equations diff�erentielles.
Informatique > Math�ematiques.
stability.
MATHEMATICS > Differential Equations > General.
Computer science > Mathematics
Differential equations
Runge-Kutta formulas
Stability
Online Access:Texto completo
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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.

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