Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications / Jens Lang.
Material type: TextLanguage: English Series: Lang, Jens ; 16Publication details: Berlin ; Springer, c2001.Description: xii, 157 pages : illustrations ; 25 cmISBN:- 3540679006
- 9783540679004
- 14397358
- Differential equations, Parabolic -- Numerical solutions -- Data processing
- Ecuaciones diferenciales, Parciales
- Differential equations, Nonlinear -- Numerical solutions -- Data processing
- Ecuaciones diferenciales
- Multigrid methods (Numerical analysis) -- Data processing
- Métodos multiples (Análisis numérico)
- 515.353
Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|
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 |
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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