Vidar Thomee's Books

Partial Differential Equations with Numerical Methods

By: Stig Larsson,Vidar Thomee

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Partial Differential Equations with Numerical Methods

By: Stig Larsson,Vidar Thomee

The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

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Page Count

264

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540887067

ISBN 13

9783540887065

Galerkin Finite Element Methods for Parabolic Problems

By: Vidar Thomee

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Galerkin Finite Element Methods for Parabolic Problems

By: Vidar Thomee

My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin finite element methods as applied to parabolic partial differential equations. The emphases and selection of topics reflects my own involvement in the field 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 finite 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 doing so 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 first treating the time discretization of an abstract differential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.

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Page Count

310

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662033593

ISBN 13

9783662033593

Galerkin Finite Element Methods for Parabolic Problems

By: Vidar Thomee

Write a review Read reviews Take a Quiz Solve Book Puzzle

Galerkin Finite Element Methods for Parabolic Problems

By: Vidar Thomee

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Solve jigsaw puzzle

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Page Count

310

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662033593

ISBN 13

9783662033593

Partial Differential Equations with Numerical Methods

By: Stig Larsson,Vidar Thomee

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Partial Differential Equations with Numerical Methods

By: Stig Larsson,Vidar Thomee

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

264

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540887067

ISBN 13

9783540887065

Book's by Vidar Thomee

Partial Differential Equations with Numerical Methods

Partial Differential Equations with Numerical Methods

Galerkin Finite Element Methods for Parabolic Problems

Galerkin Finite Element Methods for Parabolic Problems

Galerkin Finite Element Methods for Parabolic Problems

Galerkin Finite Element Methods for Parabolic Problems

Partial Differential Equations with Numerical Methods

Partial Differential Equations with Numerical Methods

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