Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications / Jens Lang.

By:

Lang, Jens

Material type: Text

TextLanguage: English Series: Lang, Jens ; 16Publication details: Berlin ; Springer, c2001.Description: xii, 157 pages : illustrations ; 25 cmISBN:

3540679006
9783540679004
14397358

Subject(s):

DDC classification:

515.353

Partial contents:

The Continuous Problem and Its Discretization in Time -- Convergence of the Discretization in Time and Space -- Computational Error Estimation -- Towards an Effective Algorithm. Practical Issues

Abstract: This book deals with the adaptive numerical solution of parabolic partial differential equations (PDEs) arising in many branches of applications. It illustrates the interlocking of numerical analysis, the design of an algorithm and the solution of practical problems. In particular, a combination of Rosenbrock-type one-step methods and multilevel finite elements is analysed. Implementation and efficiency issues are discussed. Special emphasis is put on the solution of real-life applications that arise in today's chemical industry, semiconductor-device fabrication and health care.

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Holdings
Item type	Current library	Call number	Copy number	Status	Barcode
Colección general	Biblioteca Yachay Tech	515.353 L2697a 2001 (Browse shelf(Opens below))	Ej. 1	Available	001823
Colección general	Biblioteca Yachay Tech	515.353 L2697a 2001 (Browse shelf(Opens below))	Ej. 2	Available	001824
Colección general	Biblioteca Yachay Tech	515.353 L2697a 2001 (Browse shelf(Opens below))	Ej. 3	Available	003425

Total holds: 0

Includes bibliographical references (p. [145]-153) and index.

The Continuous Problem and Its Discretization in Time -- Convergence of the Discretization in Time and Space -- Computational Error Estimation -- Towards an Effective Algorithm. Practical Issues

This book deals with the adaptive numerical solution of parabolic partial differential equations (PDEs) arising in many branches of applications. It illustrates the interlocking of numerical analysis, the design of an algorithm and the solution of practical problems. In particular, a combination of Rosenbrock-type one-step methods and multilevel finite elements is analysed. Implementation and efficiency issues are discussed. Special emphasis is put on the solution of real-life applications that arise in today's chemical industry, semiconductor-device fabrication and health care.

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