Hyperbolic Problems: Theory, Numerics, Applications: Theory, Numerics, Applications : Proceedings of the Ninth International Conference on Hyperbolic Problems Held in CalTech, Pasadena, March 25-29, 2002
Thomas Y. Hou, Eitan Tadmor
Springer Science & Business Media, Sep 19, 2003 - Mathematics - 961 pages
The International Conference on "Hyperbolic Problems: Theory, Nu merics and Applications" was held in CalTech on March 25-30, 2002. The Hyp2002 conference was the ninth meeting in the bi-annual international se ries which became one of the highest quality and most successful conference series in Applied Mathematics. This series originated in 1986 at Saint-Etienne, with an earlier focus on the theoretical aspects of hyperbolic conservation laws. As computers became more powerful in the late eighties, and as the interplay between new models, theory and modern numerical algorithms has gained considerable impact dur ing the nineties, the scope of the Hyperbolic conference series was expanded to its present format. This trend is demonstrated, for example, by many effective numerical methods developed originally in the context of Computational Fluid Dynam ics, which in recent years have found new applications outside their traditional areas. Consequently, in addition to its traditional areas, the Hyp2002 has added new focal points. These included multiscale modeling and simulations, e.g., in deriving and simulating meso- and nano-scale material properties in micro devices, geophysical applications such as wave propagation in ran dom media, and coarsening of multi-phase flows through porous media, and free boundary problems arising from materials science and multi-component fluid dynamics, including thin films, crystal growth, multi-fluid interfaces, solid/liquid interfaces.
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algorithm Anal Appl applied approximation assume asymptotic Boltzmann equation boundary conditions bounded Cauchy problem cell central schemes characteristic characteristic field coefficients compressible computed conservation laws consider constant convergence corresponding curve defined denote density derivatives Differential Equations discontinuous discrete domain dynamics eigenvalues entropy solution error estimates Euler equations finite volume finite volume method fluid flux function front tracking given Godunov grid Hamilton-Jacobi equations hyperbolic conservation laws hyperbolic systems initial data integral interaction interface Lemma level set level set method limit linear Lipschitz continuous Math Mathematics mesh nonlinear obtained one-dimensional parameter particles phase boundary Phys piecewise propagation rarefaction reconstruction Riemann problem Riemann solver satisfies scalar conservation laws second order shock waves SIAM simulation smooth solutions solve source term spatial speed stability step systems of conservation Theorem tion unique upwind variables vector velocity viscosity solution weak solution WENO WENO schemes