Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems -

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

FVCA 7, Berlin, June 2014
Buch | Softcover
XVIII, 518 Seiten
2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-38288-3 (ISBN)
128,39 inkl. MwSt
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.

Part III Applications: Elliptic and Parabolic Problems.- Part IV: Applications: Hyperbolic Problems.

Erscheinungsdatum
Reihe/Serie Springer Proceedings in Mathematics & Statistics
Zusatzinfo XVIII, 518 p. 163 illus., 80 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte 3D graphics and modelling • 65-06, 65Mxx, 65Nxx, 76xx, 78xx, 85-08, 86-08, 92- • 65-06, 65Mxx, 65Nxx, 76xx, 78xx, 85-08, 86-08, 92-08 • compatible discretizations • convergence analysis • Differential calculus and equations • Finite Volume Methods • Mathematical Physics • Mathematics • mathematics and statistics • Numerical analysis • Numerical and Computational Physics, Simulation • Numerical Methods • Partial differential equations • Simulation and modeling
ISBN-10 3-319-38288-8 / 3319382888
ISBN-13 978-3-319-38288-3 / 9783319382883
Zustand Neuware
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