Linear Discrete Parabolic Problems: Volume 203 - Rilegato

Bakaev, Nikolai Yu

Rilegato

ISBN 10: 0444521402 ISBN 13: 9780444521408

Casa editrice: North-Holland, 2005

Riassunto

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 discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods.

Key features:

* Presents a unified approach to examining discretization methods for parabolic equations.
* Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space.
* Deals with both autonomous and non-autonomous equations as well as with equations with memory.
* Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods.
* Provides comments of results and historical remarks after each chapter.

· Presents a unified approach to examining discretization methods for parabolic equations.
· Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space.
· Deals with both autonomous and non-autonomous equations as well as with equations with memory.
· Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail.
·Provides comments of results and historical remarks after each chapter.

Su questo libro

Recensione

"Although this book is dealing only with linear probelms its acheivements are significant also for studying numerical methods for nonlinear parabolic equations. The main topic of the book is focused on problems of discretization abstract parabolic equations but there are also parts for example the problems with memory term and these results can be used also to parabolic partial differential and integro-differential equations."
-ZENTRALBLATT MATH DATABASE, 1931-2007

Product Description

Book by Bakaev Nikolai

Dettagli dell'edizione

• Editore: North-Holland
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 0444521402
• ISBN 13: 9780444521408
• Rilegatura: Copertina rigida
• Numero di pagine: 286
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile