Computing Qualitatively Correct Approximations of Balance Laws : ExponentialFit, WellBalanced and AsymptoticPreserving
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The work Computing Qualitatively Correct Approximations of Balance Laws : ExponentialFit, WellBalanced and AsymptoticPreserving represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Computing Qualitatively Correct Approximations of Balance Laws : ExponentialFit, WellBalanced and AsymptoticPreserving
Resource Information
The work Computing Qualitatively Correct Approximations of Balance Laws : ExponentialFit, WellBalanced and AsymptoticPreserving represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Computing Qualitatively Correct Approximations of Balance Laws : ExponentialFit, WellBalanced and AsymptoticPreserving
 Title remainder
 ExponentialFit, WellBalanced and AsymptoticPreserving
 Statement of responsibility
 by Laurent Gosse
 Language

 eng
 eng
 Summary
 Substantial effort has been drawn for years onto the development of (possibly highorder) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or spacedependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunovtype schemes, loworder errors propagating along expanding characteristics after having hit a discontinuity, exponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimes called wellbalanced, numerical schemes which succeed in reconciling high accuracy with a stronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balance laws, such as arising from quasione dimensional nozzle flow computations, multiphase WKB approximation of linear Schrödinger equations, or gravitational NavierStokes systems. Stability results for viscosity solutions of onedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete ordinate approximation, such as the ones of radiative transfer, chemotaxis dynamics, semiconductor conduction, spray dynamics of linearized Boltzmann models. “Caseology” is one of the main techniques used in these derivations. Lagrangian techniques for filtration equations are evoked too. Twodimensional methods are studied in the context of nondegenerate semiconductor models
 Dewey number
 620.11232
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 V9d3w3RHQsw
 Language note
 English
 LC call number
 QA7190
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 SEMA SIMAI Springer Series,
 Series volume
 2
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