Hyperbolic problems : [electronic resource] theory, numerics and applications : proceedings of the Twelfth International Conference on Hyperbolic Problems, June 9-13, 2008, Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park / Eitan Tadmor, Jian-Guo Liu, Athanasios Tzavaras, editors.

By: (12th : International Conference on Non-linear Hyperbolic Problems (12th : 2008 : University of Maryland)Contributor(s): Tadmor, Eitan | Liu, Jian-Guo | Tzavaras, Athanasios E, 1958-Material type: TextTextSeries: Proceedings of symposia in applied mathematics ; v. 67.Publication details: Providence, R.I. : American Mathematical Society, c2009Description: 1 online resource (2 v. : ill.)ISBN: 9780821892831 (online)Subject(s): Differential equations, Hyperbolic -- Congresses | Differential equations, Nonlinear -- CongressesAdditional physical formats: Hyperbolic problems :LOC classification: QA377 | .I563 2008Online resources: Contents | Contents
Partial contents:
Two-dimensional transport equation with Hamiltonian vector fields / Giovanni Alberti, Stefano Bianchini and Gianluca Crippa -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605229 Analytic regularization of an inverse problem for a system of conservation laws / Amaury C. Alvarez, Gustavo Hime and Dan Marchesin -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605230 On the finite weak solutions to a system in quantum fluid dynamics / Paolo Antonelli and Pierangelo Marcati -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605231 Accuracy of modeling error estimates for discrete velocity models / Kondo C. Assi and Marc Laforest -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605232 The Riemann solution for three-phase flow in a porous medium / Arthur V. Azevedo, Aparecido J. de Souza, Frederico Furtado and Dan Marchesin -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605233 Non-oscillatory central schemes for 3D hyperbolic conservation laws / Jorge Balb�as and Xin Qian -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605234 A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications / Joachim Benz, Andreas Meister and Philipp Andrea Zardo -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605235 On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation / Stefan Berres and Tatiana Voitovich -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605236 Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems / Stefano Bianchini and Laura V. Spinolo -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605237 Nonlinear iterative solvers for unsteady Navier-Stokes equations / Philipp Birken and Antony Jameson -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605238 An approximate Riemann solver for ideal MHD based on relaxation / Fran�cois Bouchut, Christian Klingenberg and Knut Waagan -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605239 Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation / Raimund B�urger, An�ibal Coronel and Mauricio Sep�ulveda -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605240 A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions / Raimund B�urger, Kenneth H. Karlsen and John D. Towers -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605241 Numerical investigation of finite difference schemes for nonconservative hyperbolic systems / Manuel J. Castro, Philippe G. LeFloch, Mar�ia Luz Mu�noz-Ruiz and Carlos Par�es -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605242 Relaxed schemes for nonlinear evolutionary PDEs / Fausto Cavalli, Giovanni Naldi, Gabriella Puppo and Matteo Semplice -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605243 Global asymptotic effects of the structure of combustion waves in porous media / Gregory Chapiro, Gustavo Hime, Alexei A. Mailybaev, Dan Marchesin and Aparecido J. de Souza -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605244 Multiscale dynamics of 2D rotational compressible Euler equations -- an analytical approach / Bin Cheng -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605245 Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws / Ivan Christov, Ilya D. Mishev and Bojan Popov -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605246 On the continuum modeling of crowds / Rinaldo M. Colombo, Giancarlo Facchi, Giulio Maternini and Massimiliano D. Rosini -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605247 Balance laws as quasidifferential equations in metric spaces / Rinaldo M. Colombo and Graziano Guerra -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605248 Simulation of rain-water overland-flow / Olivier Delestre, St�ephane Cordier, Fran�cois James and Fr�ed�eric Darboux -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605249 On the vanishing viscosity approximation in the vectorial case / Carlotta Donadello -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605250 Counterexamples to the sonic and detachment criteria / Volker Elling -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605251 Well-balanced high order scheme for 2-layer shallow water flows / J�orn Thies Frings and Sebastian Noelle -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605252 High-order finite volume schemes for wave propagation in stratified atmospheres / Franz G. Fuchs, Andrew D. McMurry and Siddhartha Mishra -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605253 High-order finite volume schemes for shallow water equations with topography and dry areas / Jos�e M. Gallardo, Manuel J. Castro and Carlos Par�es -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605254 Riemann solvers for conservation laws at a node / Mauro Garavello and Benedetto Piccoli -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605255 Reduced basis method for explicit finite volume approximations of nonlinear conservation laws / Bernard Haasdonk and Mario Ohlberger -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605256 Error estimate for the local discontinuous Galerkin scheme of a diffusive-dispersive equation with convolution / Jenny Haink -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605257 Cauchy problem for capillarity Van der Vaals model / Boris Haspot -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605258 Viscous conservation laws with discontinuous initial data / Harumi Hattori -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605259 Parallel computation of large amplitude shocks for a system of conservation laws with small data / Gustavo Hime and V�itor Matos -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605260 Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases / Helge Holden, Nils Henrik Risebro and Hilde Sande -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605261 Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics / Xianpeng Hu and Dehua Wang -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605262 Construction of conservative systems / Helge Kristian Jenssen and Irina A. Kogan -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605263 Collisionless magnetic reconnection in a five-moment two-fluid electron-positron plasma / Evan A. Johnson and James A. Rossmanith -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605264 Finite difference scheme for a nonlinear damped wave equation derived from brain modulation / Mouhamad Jradeh -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605265 Convergent finite element methods for compressible barotropic Stokes systems / Kenneth H. Karlsen and Trygve K.
Karper -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605266 A hybrid scheme for flows in porous media / Smadar Karni and Gerardo Hern�andez-Due�nas -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605267 Discrete involutions, resonance, and the divergence problem in MHD / Friedemann Kemm -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605268 Two-layer shallow water system and its applications / Jihwan Kim and Randall J. LeVeque -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605269 Asymptotic rarefaction waves for balance laws with stiff sources / Wanderson J. Lambert and Dan Marchesin -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605270 Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods / Richard Liska, Rapha�el Loub�ere, Pierre-Henri Maire, J�er�ome Breil, St�ephane Galera and Pavel V�achal -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605271 On the entropy stability of Roe-type finite volume methods / M�aria Luk�a�cov�a-Medvi�dov�a and Eitan Tadmor -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605272 Entropy stability of Roe-type upwind finite volume methods on unstructured grids / Aziz Madrane and Eitan Tadmor -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605273 A robust high order VFRoe scheme for shallow water equations / Fabien Marche and Christophe Berthon -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605274 Vorticity preserving schemes using potential-based fluxes for the system wave equation / Siddhartha Mishra and Eitan Tadmor -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605275 Half space problem for the compressible Navier-Stokes equation / Tohru Nakamura and Shinya Nishibata -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605276 Computing the effective Hamiltonian for a time-dependent Hamiltonian / Martin Nolte and Dietmar Kr�oner -- http://www.ams.org/psapm/067.2 http://dx.doi.org/10.1090/psapm/067.2/2605277
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Includes bibliographical references and index.

Two-dimensional transport equation with Hamiltonian vector fields / Giovanni Alberti, Stefano Bianchini and Gianluca Crippa -- Analytic regularization of an inverse problem for a system of conservation laws / Amaury C. Alvarez, Gustavo Hime and Dan Marchesin -- On the finite weak solutions to a system in quantum fluid dynamics / Paolo Antonelli and Pierangelo Marcati -- Accuracy of modeling error estimates for discrete velocity models / Kondo C. Assi and Marc Laforest -- The Riemann solution for three-phase flow in a porous medium / Arthur V. Azevedo, Aparecido J. de Souza, Frederico Furtado and Dan Marchesin -- Non-oscillatory central schemes for 3D hyperbolic conservation laws / Jorge Balb�as and Xin Qian -- A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications / Joachim Benz, Andreas Meister and Philipp Andrea Zardo -- On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation / Stefan Berres and Tatiana Voitovich -- Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems / Stefano Bianchini and Laura V. Spinolo -- Nonlinear iterative solvers for unsteady Navier-Stokes equations / Philipp Birken and Antony Jameson -- An approximate Riemann solver for ideal MHD based on relaxation / Fran�cois Bouchut, Christian Klingenberg and Knut Waagan -- Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation / Raimund B�urger, An�ibal Coronel and Mauricio Sep�ulveda -- A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions / Raimund B�urger, Kenneth H. Karlsen and John D. Towers -- Numerical investigation of finite difference schemes for nonconservative hyperbolic systems / Manuel J. Castro, Philippe G. LeFloch, Mar�ia Luz Mu�noz-Ruiz and Carlos Par�es -- Relaxed schemes for nonlinear evolutionary PDEs / Fausto Cavalli, Giovanni Naldi, Gabriella Puppo and Matteo Semplice -- Global asymptotic effects of the structure of combustion waves in porous media / Gregory Chapiro, Gustavo Hime, Alexei A. Mailybaev, Dan Marchesin and Aparecido J. de Souza -- Multiscale dynamics of 2D rotational compressible Euler equations -- an analytical approach / Bin Cheng -- Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws / Ivan Christov, Ilya D. Mishev and Bojan Popov -- On the continuum modeling of crowds / Rinaldo M. Colombo, Giancarlo Facchi, Giulio Maternini and Massimiliano D. Rosini -- Balance laws as quasidifferential equations in metric spaces / Rinaldo M. Colombo and Graziano Guerra -- Simulation of rain-water overland-flow / Olivier Delestre, St�ephane Cordier, Fran�cois James and Fr�ed�eric Darboux -- On the vanishing viscosity approximation in the vectorial case / Carlotta Donadello -- Counterexamples to the sonic and detachment criteria / Volker Elling -- Well-balanced high order scheme for 2-layer shallow water flows / J�orn Thies Frings and Sebastian Noelle -- High-order finite volume schemes for wave propagation in stratified atmospheres / Franz G. Fuchs, Andrew D. McMurry and Siddhartha Mishra -- High-order finite volume schemes for shallow water equations with topography and dry areas / Jos�e M. Gallardo, Manuel J. Castro and Carlos Par�es -- Riemann solvers for conservation laws at a node / Mauro Garavello and Benedetto Piccoli -- Reduced basis method for explicit finite volume approximations of nonlinear conservation laws / Bernard Haasdonk and Mario Ohlberger -- Error estimate for the local discontinuous Galerkin scheme of a diffusive-dispersive equation with convolution / Jenny Haink -- Cauchy problem for capillarity Van der Vaals model / Boris Haspot -- Viscous conservation laws with discontinuous initial data / Harumi Hattori -- Parallel computation of large amplitude shocks for a system of conservation laws with small data / Gustavo Hime and V�itor Matos -- Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases / Helge Holden, Nils Henrik Risebro and Hilde Sande -- Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics / Xianpeng Hu and Dehua Wang -- Construction of conservative systems / Helge Kristian Jenssen and Irina A. Kogan -- Collisionless magnetic reconnection in a five-moment two-fluid electron-positron plasma / Evan A. Johnson and James A. Rossmanith -- Finite difference scheme for a nonlinear damped wave equation derived from brain modulation / Mouhamad Jradeh -- Convergent finite element methods for compressible barotropic Stokes systems / Kenneth H. Karlsen and Trygve K.

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605229

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605230

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http://dx.doi.org/10.1090/psapm/067.2/2605231

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http://dx.doi.org/10.1090/psapm/067.2/2605232

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605233

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605234

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605235

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605236

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605237

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605238

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605239

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http://dx.doi.org/10.1090/psapm/067.2/2605240

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http://dx.doi.org/10.1090/psapm/067.2/2605241

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http://dx.doi.org/10.1090/psapm/067.2/2605242

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http://dx.doi.org/10.1090/psapm/067.2/2605243

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605244

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605245

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http://dx.doi.org/10.1090/psapm/067.2/2605246

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605247

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605248

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605249

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605250

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605251

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605252

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http://dx.doi.org/10.1090/psapm/067.2/2605253

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605254

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605255

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605256

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605257

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605258

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605259

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605260

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605261

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605262

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605263

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605264

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605265

Karper -- A hybrid scheme for flows in porous media / Smadar Karni and Gerardo Hern�andez-Due�nas -- Discrete involutions, resonance, and the divergence problem in MHD / Friedemann Kemm -- Two-layer shallow water system and its applications / Jihwan Kim and Randall J. LeVeque -- Asymptotic rarefaction waves for balance laws with stiff sources / Wanderson J. Lambert and Dan Marchesin -- Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods / Richard Liska, Rapha�el Loub�ere, Pierre-Henri Maire, J�er�ome Breil, St�ephane Galera and Pavel V�achal -- On the entropy stability of Roe-type finite volume methods / M�aria Luk�a�cov�a-Medvi�dov�a and Eitan Tadmor -- Entropy stability of Roe-type upwind finite volume methods on unstructured grids / Aziz Madrane and Eitan Tadmor -- A robust high order VFRoe scheme for shallow water equations / Fabien Marche and Christophe Berthon -- Vorticity preserving schemes using potential-based fluxes for the system wave equation / Siddhartha Mishra and Eitan Tadmor -- Half space problem for the compressible Navier-Stokes equation / Tohru Nakamura and Shinya Nishibata -- Computing the effective Hamiltonian for a time-dependent Hamiltonian / Martin Nolte and Dietmar Kr�oner --

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605266

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605267

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605268

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605269

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605270

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605271

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605272

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605273

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605274

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605275

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605276

http://www.ams.org/psapm/067.2

http://dx.doi.org/10.1090/psapm/067.2/2605277

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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