Finite Volumes for Complex Applications Vii-Elliptic, Parabolic and Hyperbolic Problems (Springer Proceedings in Mathematics & Statistics) (in English)
Finite Volumes for Complex Applications Vii-Elliptic, Parabolic and Hyperbolic Problems (Springer Proceedings in Mathematics & Statistics) (in English)
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Finite Volumes for Complex Applications Vii-Elliptic, Parabolic and Hyperbolic Problems (Springer Proceedings in Mathematics & Statistics) (in English)
Synopsis "Finite Volumes for Complex Applications Vii-Elliptic, Parabolic and Hyperbolic Problems (Springer Proceedings in Mathematics & Statistics) (in English)"
The properties of the methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) give distinguished 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 further topics. The Finite Volume method in its various variants 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 the free energy, or 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 master level students in numerical analysis and scientific computing and related fields like partial differential equations, and engineers working in numerical modeling and simulations will find this volume useful.
