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Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics, 25) - Softcover
Synopsis
My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?nite element methods as appliedtoparabolicpartialdi?erentialequations. Theemphasesandselection of topics re?ects my own involvement in the ?eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin ?nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by ?rst treating the time discretization of an abstract di?erential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.
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From the Back Cover
This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis. The second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.
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Galerkin Finite Element Methods for Parabolic Problems, 2nd edition
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Soft cover. Condition: New. Dust Jacket Condition: New. 2nd Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-10833600906
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Galerkin Finite Element Methods for Parabolic Problems, 2nd
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Trade paperback. Condition: New in new dust jacket. 2nd ed. Softcover of orig. ed. 2006. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). 384 p. Springer Series in Computational Mathematics., 25. Audience: Professional and scholarly. Seller Inventory # K493A0000516
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Galerkin Finite Element Methods for Parabolic Problems
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature. 384 pp. Englisch. Seller Inventory # 9783642069673
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Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics, 25)
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Galerkin Finite Element Methods for Parabolic Problems
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a comprehensive and lucid account of the latest ideas and methodsSecond edition incorporates recent progress in application of semigroup theory to stability and error analysisIncludes new all-new chaptersThis book provides . Seller Inventory # 5046052
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin nite element methods as appliedtoparabolicpartialdi erentialequations. Theemphasesandselection of topics re ects my own involvement in the eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by rst treating the time discretization of an abstract di erential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten. Seller Inventory # 9783642069673
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Galerkin Finite Element Methods for Parabolic Problems
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin nite element methods as appliedtoparabolicpartialdi erentialequations. Theemphasesandselection of topics re ects my own involvement in the eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by rst treating the time discretization of an abstract di erential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 384 pp. Englisch. Seller Inventory # 9783642069673
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Galerkin Finite Element Methods for Parabolic Problems 2e
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