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

By: Material type: TextTextLanguage: 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 Date due Barcode Item holds
Colección general Colección general Biblioteca Yachay Tech 515.353 L2697a 2001 (Browse shelf(Opens below)) Ej. 1 Available 001823
Colección general Colección general Biblioteca Yachay Tech 515.353 L2697a 2001 (Browse shelf(Opens below)) Ej. 2 Available 001824
Colección general 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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