# Hyperbolic Problems : Theory, Numerics and Applications

**ISBN 13:**## 9780821847305

**ISBN 10:**## 0821847309

**Format:**Hardcover**Copyright:**12/03/2009**Publisher:**Amer Mathematical Society

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### Summary

Contributed talks: Two-dimensional transport equation with Hamiltonian vector fields by G. Alberti, S. Bianchini, and G. Crippa Analytic regularization of an inverse problem for a system of conservation laws by A. C. Alvarez, G. Hime, and D. Marchesin On the finite weak solutions to a system in quantum fluid dynamics by P. Antonelli and P. Marcati Accuracy of modeling error estimates for discrete velocity models by K. C. Assi and M. Laforest The Riemann solution for three-phase flow in a porous medium by A. V. Azevedo, A. P. de Souza, F. Furtado, and D. Marchesin Non-oscillatory central schemes for 3D hyperbolic conservation laws by J. Balbas and X. Qian A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications by J. Benz, A. Meister, and P. A. Zardo On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation by S. Berres and T. Voitovich Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems by S. Bianchini and L. V. Spinolo Nonlinear iterative solvers for unsteady Navier-Stokes equations by P. Birken and A. Jameson An approximate Riemann solver for ideal MHD based on relaxation by F. Bouchut, C. Klingenberg, and K. Waagan Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation by R. Burger, A. Coronel, and M. Sepulveda A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions by R. Burger, K. H. Karlsen, and J. D. Towers Numerical investigation of finite difference schemes for nonconservative hyperbolic systems by M. J. Castro-Diaz, P. G. LeFloch, M. L. Munoz-Ruiz, and C. Pares Relaxed schemes for nonlinear evolutionary PDEs by F. Cavalli, G. Naldi, G. Puppo, and M. Semplice Global asymptotic effects of the structure of combustion waves in porous media by G. Chapiro, G. Hime, A. Mailybaev, D. Marchesin, and A. P. de Souza Multiscale dynamics of 2D rotational compressible Euler equations-An analytic approach by B. Cheng Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws by I. Christov, I. D. Mishev, and B. Popov On the continuum modeling of crowds by R. M. Colombo, G. Facchi, G. Maternini, and M. D. Rosini Balance laws as quasidifferential equations in metric spaces by R. M. Colombo and G. Guerra Simulation of rain-water overland-flow by O. Delestre, S. Cordier, F. James, and F. Darboux On the vanishing viscosity approximation in the vectorial case by C. Donadello Counterexamples to the sonic and detachment criteria by V. Elling Well-balanced high order scheme for 2-layer shallow water flows by J. T. Frings and S. Noelle High-order finite volume schemes for wave propagation in stratified atmospheres by F. G. Fuchs, A. D. McMurry, and S. Mishra High-order finite volume schemes for shallow water equations with topography and dry areas by J. M. Gallardo, M. J. Castro, and C. Pares Riemann solvers for conservation laws at a node by M. Garavello and B. Piccoli Reduced basis method for explcit finite volume approximations of nonlinear conservation laws by H. Haasdonk and M. Ohlberger Error estimate for the local discontinuous Galerkin scheme of a diffusive-dispersive equation with convolution by J. Haink Cauchy problem for capillarity Van der Vaals model by B. Haspot Viscous conservation laws with discontinuous initial data by H. Hattori Parallel computation of large amplitude shocks for a system of conservation laws with small data by G. Hime and V. Matos Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases by H. Holden, N. H. Risebro, and H. Sande Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics by X. Hu and D. Wang Construction of conservative systems by H. K. Jenssen and I. A. Kogan Collisionless magnetic reconnection in a five-moment