Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde

Автор: Pao, C. V.
Название: Nonlinear parabolic and elliptic equations
ISBN: 1461363233 ISBN-13(EAN): 9781461363231
Издательство: Springer
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Описание: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.

Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde
Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
ISBN: 3319055909 ISBN-13(EAN): 9783319055909
Издательство: Springer
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Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

Автор: Cl?ment Canc?s; Pascal Omnes
Название: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
ISBN: 3319573934 ISBN-13(EAN): 9783319573939
Издательство: Springer
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Описание:

This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.

The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.

The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.

Автор: Thomas H. Otway
Название: Elliptic–Hyperbolic Partial Differential Equations
ISBN: 3319197606 ISBN-13(EAN): 9783319197609
Издательство: Springer
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Автор: Joachim Escher; Elmar Schrohe; J?rg Seiler; Christ
Название: Elliptic and Parabolic Equations
ISBN: 331912546X ISBN-13(EAN): 9783319125466
Издательство: Springer
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Описание: The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations.