Elliptic And Parabolic Problems, Proceedings Of The 4th European Conference

Elliptic And Parabolic Problems, Proceedings Of The 4th European Conference

Author: Josef Bemelmans

Publisher: World Scientific

Published: 2002-08-06

Total Pages: 505

ISBN-13: 9814488275

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This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.


Proceedings of the 4th European Conference, Elliptic and Parabolic Problems

Proceedings of the 4th European Conference, Elliptic and Parabolic Problems

Author: Josef Bemelmans

Publisher: World Scientific

Published: 2002

Total Pages: 508

ISBN-13: 9789812380456

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This book provides an overview of the state of the art in important subjects, including ? besides elliptic and parabolic issues ? geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.


Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

Author: Messoud Efendiev

Publisher: Springer

Published: 2018-10-17

Total Pages: 273

ISBN-13: 3319984071

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This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.


Challenges in Scientific Computing - CISC 2002

Challenges in Scientific Computing - CISC 2002

Author: Eberhard Baensch

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 300

ISBN-13: 3642190146

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The conference Challenges In Scientific Computing (CISC 2002) took place from October, 2 to 5, 2002. The hosting institution was the Weierstrass Insti tute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. The main purpose of this meeting was to draw together researchers working in the fields of numerical analysis and scientific computing with a common interest in the numerical treatment and the computational solution of systems of nonlinear partial differential equations arising from applications of physical and engineering problems. The main focus of the conference was on the problem class of non linear transport/diffusion/reaction systems, chief amongst these being: the Navier-Stokes equations, semiconductor-device equations and porous media flow problems. The emphasis was on unsolved problems, challenging open questions from applications and assessing the various numerical methods used to handle them, rather than concentrate on accurate results from "solved" problems. Thanks to the participants it was an interesting meeting. The presentations stimulated exchanging ideas and lively discussions. This proceedings comprises 13 papers form the conference, ranging from numerical methods for flow problems, multigrid methods, semiconductor and microwave simulation, solution methods, finite element analysis to software aspects. This interesting conference would not have been possible without the help of the staff of the WIAS. I thank all participants, and all our supporters, especially those not onstage, for making the conference a success.


Numerical Mathematics and Advanced Applications

Numerical Mathematics and Advanced Applications

Author: F. Brezzi

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 981

ISBN-13: 8847020891

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An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.


Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Author: Mikhail Z. Zgurovsky

Publisher: Springer Science & Business Media

Published: 2012-05-22

Total Pages: 368

ISBN-13: 3642285120

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In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.


Numerical Mathematics and Advanced Applications

Numerical Mathematics and Advanced Applications

Author: Alfredo Bermúdez de Castro

Publisher: Springer Science & Business Media

Published: 2007-10-08

Total Pages: 1202

ISBN-13: 3540342885

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These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.