Computing Qualitatively Correct Approximations of Balance Laws
AUTORI: LAURENT GOSSE,
Surveys both analytical and numerical aspects of hyperbolic balance laws (including the recent theory of viscosity solutions for systems)
Numerous derivations of both well-balanced and asymptotic-preserving schemes emphasizing relations between each other Includes original material about K-multibranch solutions for linear geometric optics or order-preserving strings
Several chapters about numerical approximation of chemotaxis or semiconductor kinetic models which display constant macroscopic fluxes at stationary state ("qualitatively correct" approximations)
Presents well-balanced techniques for linearized Boltzmann and Fokker-Planck kinetic equations
