Elliptic, parabolic and hyperbolic problems : FVCA 7, Berlin, June 2014
著者
書誌事項
Elliptic, parabolic and hyperbolic problems : FVCA 7, Berlin, June 2014
（Springer proceedings in mathematics & statistics, vol. 78 . Finite Volumes for Complex Applications ; 7）
Springer, 2014
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注記
"The present volumes contain the invited and contributed papers presented as posters or talks at the Seventh International Symposium on Finite Volumes for Complex Applications held in Berlin on June 15-20, 2014"--Preface
Includes bibliographical references and index
内容説明・目次
内容説明
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. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, 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. Recent decades have brought significant success 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.
Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.
目次
Part III Applications: Elliptic and Parabolic Problems.- Part IV: Applications: Hyperbolic Problems.
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