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eBook Linear Discrete Parabolic Problems, Volume 203 (North-Holland Mathematics Studies) download

by Nikolai Bakaev

eBook Linear Discrete Parabolic Problems, Volume 203 (North-Holland Mathematics Studies) download ISBN: 0444521402
Author: Nikolai Bakaev
Publisher: North Holland; 1 edition (January 19, 2006)
Language: English
Pages: 302
ePub: 1703 kb
Fb2: 1867 kb
Rating: 4.3
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Category: Math Sciences
Subcategory: Mathematics

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

Linear Discrete Parabolic Problems, Volume 203 (North-Holland Mathematics Studies). ISBN 13: 9780444521408.

This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the . Although this book is dealing only with linear probelms its acheivements are significant also for studying numerical methods for nonlinear parabolic equations.

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. 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 equations. zentralblatt math database, 1931-2007.

Linear Discrete Parabolic Problems,203 Nikolai Bakaev Elsevier Science 9780444521408 : Introduces a study of linear discrete parabolic problems through reducing the starting discrete problem . Поставляется из: Англии Описание: Introduces a study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. This book contains a stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of modern discretization methods. Дополнительное описание

Linear Discrete Parabolic Problems book. Linear Discrete Parabolic Problems, Volume 203 (North-Holland Mathematics Studies). 0444521402 (ISBN13: 9780444521408).

Linear Discrete Parabolic Problems book. This volume introduces a unified, self-contained study. 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.

VI PREFACE discrete problems at the first stage of analysis without any connection with the starting parabolic problem that has been discretized. It is generally acknowledged that the questions of stability and convergence are the most essential for numerical analysis of discretizations. Key features: Presents a unified approach to examining.

oceedings{Bakaev2006LinearDP, title {Linear discrete parabolic problems}, author {Nikolai Bakaev}, year {2006} }. Nikolai Bakaev. Part I. EVOLUTION EQUATIONS IN DISCRETE TIME. Main Results on Stability. Operator Splitting Problems. Equations with Memory.

Linear Discrete Parabolic Problems - Libro electrónico escrito por Nikolai Bakaev. North-Holland Mathematics Studies. Lee este libro en la app de Google Play Libros en tu PC o dispositivo Android o iOS. Descarga Linear Discrete Parabolic Problems para leerlo sin conexión, destacar texto, agregar marcadores o tomar notas. Libro 203. Nikolai Bakaev2 de diciembre de 2005.

We study a numerical scheme for the approximation of parabolic boundary-value . A. Pazy, Semigroups of linear operators and applications to partial differential equations, Appl. Sc. 44 (1983), 60–69.

We study a numerical scheme for the approximation of parabolic boundary-value problems with nonsmooth boundary data. This fully discrete scheme requires no boundary constraints on the approximating elements. Our principal result is the derivation of optimal convergence estimates in Lp norms for boundary data in Lp, 1p ≤∞. For the same algorithms, we also show that the convergence remains optimal even in higher norms.

Bakaev, Linear discrete parabolic problems, Ser. North-Holland Mathematics Studies (Elsevier Science, Amsterdam, 2006), Vol. 20. oogle Scholar. 10. I. V. Konoval’tsev, Stability of two-level finite difference schemes for parabolic equations with variable coefficients in C and Lp, Zh.

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.