New PDF release: Computing Qualitatively Correct Approximations of Balance

By Laurent Gosse

The booklet provides an outline of contemporary numerical suggestions for the combination 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 gains are:

  • Surveys either analytical and numerical points of hyperbolic balance
    legislation (including the new idea of viscosity recommendations for systems)
  • Numerous derivations of either well-balanced and
    asymptotic-preserving schemes emphasizing kinfolk among each one other
    Includes unique fabric approximately K-multibranch suggestions for linear
    geometric optics or order-preserving strings
  • Several chapters approximately numerical approximation of chemotaxis or
    semiconductor kinetic types which show consistent macroscopic fluxes
    at desk bound nation ("qualitatively right" approximations)
  • Presents well-balanced innovations for linearized Boltzmann and Fokker-Planck kinetic equations hoping on "Caseology" methods.

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Computing Qualitatively Correct Approximations of Balance Laws: Exponential-Fit, Well-Balanced and Asymptotic-Preserving: 2 (SEMA SIMAI Springer Series) by Laurent Gosse


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