Rent 9780821847305 | Hyperbolic Problems : Theory, Numerics and Applications | Tadmor, Eitan; Liu, Jian-guo; Tzavaras, Athanasios E. @knetbooks.com

Summary Table of Contents

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

Contributed talks: Two-dimensional transport equation with Hamiltonian vector fields
Analytic regularization of an inverse problem for a system of conservation laws
On the finite weak solutions to a system in quantum fluid dynamics
Accuracy of modeling error estimates for discrete velocity models
The Riemann solution for three-phase flow in a porous medium
Non-oscillatory central schemes for 3D hyperbo... MORElic conservation laws
A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications
On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation
Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems
Nonlinear iterative solvers for unsteady Navier-Stokes equations
An approximate Riemann solver for ideal MHD based on relaxation
Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions
Numerical investigation of finite difference schemes for nonconservative hyperbolic systems
Relaxed schemes for nonlinear evolutionary PDEs
Global asymptotic effects of the structure of combustion waves in porous media
Multiscale dynamics of 2D rotational compressible Euler equations-An analytic approach
Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws
On the continuum modeling of crowds
Balance laws as quasidifferential equations in metric spaces
Simulation of rain-water overland-flow
On the vanishing viscosity approximation in the vectorial case
Counterexamples to the sonic and detachment criteria
Well-balanced high order scheme for 2-layer shallow water flows
High-order finite volume schemes for wave propagation in stratified atmospheres
High-order finite volume schemes for shallow water equations with topography and dry areas
Riemann solvers for conservation laws at a node
Reduced basis method for explcit finite volume approximations of nonlinear conservation laws
Error estimate for the local discontinuous Galerkin scheme of a diffusive-dispersive equation with convolution
Cauchy problem for capillarity Van der Vaals model
Viscous conservation laws with discontinuous initial data
Parallel computation of large amplitude shocks for a system of conservation laws with small data
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases
Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics
Construction of conservative systems
Collisionless magnetic reconnection in a five-moment two-fluid electron-positron plasma
Finite difference scheme for a nonlinear damped wave equation derived from brain modulation
Convergent finite element methods for compressible barotropic Stokes systems
A hybrid scheme for flows in porous media
Two-layer shallow water system and its applications
Asymptotic rarefaction waves for balance laws with stiff sources
Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods
On the entropy stability of Roe-type finite volume methods
Entropy stability of Roe-type upwind finite volume methods on unstructured grids
A robust high order VFRoe scheme for shallow water equations
Vorticity preserving schemes using potential-based fluxes for the system wave equation
Half space problem for the compressible Navier-Stokes equation
Computing the effective Hamiltonian for a time-dependent Hamiltonian
Initial boundary value problems for compressible Euler equations with damping
A relaxation method for modeling two-phase shallow granular flows
Riemann problem for Born-Infeld systems
Stability of traveling waves in thin liquid films driven by gravity and surfactant
Piecewise parabolic method on a local stencil for hyerbolic conservation laws
A numerical study of magnetic reconnection: A central scheme for Hall MHD
Accuracy of stabilized residual distribution for shallow water flows including dry beds
Using the entropy production rate to enhance aritificial compression
Blow up of smooth solutions to the barotropic compressible magnetohydrodynamic equations with finite mass and energy
High order well balanced schemes for systems of balance laws
Transport of mass, momentum and energy in zero-pressure gas dynamics
On a model of granular flow
A simple unified coordinates method for compressible homogeneous two-phase flows
Courant-Friedrich's hypothesis and stability of the weak shock
Unstaggered central schemes for MHD and SMHD
Stability of planar stationary wave for damped wave equation with nonlinear convection in half space
The minimum entropy approximation to the radiative transfer equation
Index
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