Linear Discrete Parabolic Problems (Volume 203) (North-Holland Mathematics Studies, Volume 203, Band 203) - Hardcover

Bakaev, Nikolai

Hardcover

ISBN 10: 0444521402 ISBN 13: 9780444521408

Verlag: North Holland, 2005

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: North Holland
• Erscheinungsdatum: 2005
• Sprache: Englisch
• ISBN 10: 0444521402
• ISBN 13: 9780444521408
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 302
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: gpsr@libri.de; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Deutschland