Read e-book online Computing Qualitatively Correct Approximations of Balance PDF

By Laurent Gosse

ISBN-10: 8847028914

ISBN-13: 9788847028913

ISBN-10: 8847058554

ISBN-13: 9788847058552

The e-book offers an outline of contemporary numerical innovations for the mixing of partial differential equations, specially hyperbolic platforms of stability legislation in a single house measurement (Part I) and weakly nonlinear kinetic equations (Part II). a number of of its salient positive factors are:

Surveys either analytical and numerical elements of hyperbolic balance
legislation (including the hot thought of viscosity ideas for systems)
Numerous derivations of either well-balanced and
asymptotic-preserving schemes emphasizing kin among every one other
Includes unique fabric approximately K-multibranch options for linear
geometric optics or order-preserving strings
Several chapters approximately numerical approximation of chemotaxis or
semiconductor kinetic versions which reveal consistent macroscopic fluxes
at desk bound nation ("qualitatively right" approximations)
Presents well-balanced options for linearized Boltzmann and Fokker-Planck kinetic equations counting on "Caseology" methods.

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Read or Download Computing Qualitatively Correct Approximations of Balance Laws: Exponential-Fit, Well-Balanced and Asymptotic-Preserving: 2 (SEMA SIMAI Springer Series) PDF

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