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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems - FVCA 8, Lille, France, June 2017 (Paperback, Softcover reprint of the original 1st ed. 2017)
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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems - FVCA 8, Lille, France, June 2017 (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Springer Proceedings in Mathematics & Statistics, 200
Expected to ship within 10 - 15 working days
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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 l evel. 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.
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