Adaptive multilevel solution of nonlinear parabolic PDE systems :
Lang, Jens.
Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications / Jens Lang. - Berlin ; Springer, c2001. - xii, 157 pages : illustrations ; 25 cm. - Lang, Jens. 16 1439-7358 .
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.
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
Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications / Jens Lang. - Berlin ; Springer, c2001. - xii, 157 pages : illustrations ; 25 cm. - Lang, Jens. 16 1439-7358 .
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.
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