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Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014 (Paperback, Softcover reprint of the original 1st ed. 2014)
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Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014 (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer Proceedings in Mathematics & Statistics, 77
Expected to ship within 10 - 15 working days
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The first volume of the proceedings of the 7th conference on
"Finite Volumes for Complex Applications" (Berlin, June 2014)
covers topics that include convergence and stability analysis, as
well as investigations of these methods from the point of view of
compatibility with physical principles. It collects together the
focused invited papers, as well as the reviewed contributions from
internationally leading researchers in the field of analysis of
finite volume and related methods. Altogether, a rather
comprehensive overview is given of the state of the art in the
field. Â 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.
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