Plenary Talks 


N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R.
Talaalout and M.H. Vignal  


Diffusion Limits of Kinetic Models  

3 
(16) 



Viscosity Solutions for Nonlinear Hyperbolic Systems  

19 
(24) 

Randall J. Le Veque and Darryl H. Yong  


Phase Plane Behavior of Solitary Waves in Nonlinear
Layered Media  

43 
(10) 

TaiPing Lin and ShihHsien Yu  


Energy Method for Equations in Gas Dynamics  

53 
(8) 

Benoit Perthame and Chiara Simeoni  


Convergence of the Upwind Interface Source Method for
Hyperbolic Conservation Laws  

61 
(18) 



An Overview on High Order Numerical Methods for
Convection Dominated PDEs  

79 
(10) 

Bjorn Sjögreen and H.C. Yee  


Analysis of High Order Difference Methods for
Multiscale Complex Compressible Flows  

89 
(14) 

Seiji Ukai, Tong Tang and ShihHsien Yu  


Nonlinear Boundary Layers of the Boltzmann Equation  

103 
(10) 

Invited Talks 


Patricia Bagnerini and Michel Rascle  


An Homogenized Hyperbolic Model of Multiclass Traffic
Flow: a Few Examples  

113 
(12) 

M. BenArtzi and J. Falcovitz  


The GRP Treatment of 2D Complex Wave Structures  

125 
(10) 



BV Solutions of Semidiscrete Upwind Scheme  

135 
(8) 



A Supplement to Entropy Condition  

143 
(10) 

Doug Enright and Ron Fedkiw  


Robust Treatment of Interfaces for Fluid Flows and
Computer Graphics  

153 
(12) 

Ingenuin Gasser, Ling Hsiao and Hailiang Li  


Asymptotic Convergence to Diffusive Wave of Bipolar
Hydrodynamical Modelfor Semiconductors  

165 
(10) 

E. George, J. Glimm, J.W. Grove, X.L. Li, Y.J. Liu,
Z.L. Xu and N. Zhao  


Simplification, Conservation and Adaptivity in the
Front Tracking Method  

175 
(10) 



Discrete Adjoint Approximations with Shocks  

185 
(10) 



Farfield Evaluation via Nonreflecting Boundary
Conditions  

195 
(10) 

Seung Yeal Ha and Athanasios E. Tzavaras  


L1 Stability for the Onedimensional Broadwell Model
of a Discrete Velocity Gas  

205 
(12) 

Ansgar Jüngel, Hailiang Li, Peter A. Markowich and Shu
Wang  


Recent Progress on Quantum Hydrodynamic Models for
Semiconductors  

217 
(10) 

Hailiang Liu and Eitan Tadmor  


Critical Thresholds and Conditional Stability for
Euler Equations and Related Models  

227 
(14) 

Lorenzo Pareschi and Giovanni Russo  


Highorder Asymptotically Strongstabilitypreserving
Methods for Hyperbolic Systems with Stiff Relaxation  

241 
(14) 
Contributed Talks 


Fabio Ancona, Alberto Bressan and Giuseppe Maria
Coclite  


Some Results on the Boundary Control of Systems of
Conservation Laws  

255 
(10) 

Sigrid Andreae, Josef Ballmann, Siegfried Miller and
Alexander Voß  


Dynamics of Collapsing Bubbles Near Walls  

265 
(10) 

Nikolai Andrianov, Richard Saurel and Gerald Warnecke  


The Riemann Problem for a Twophase Model  

275 
(10) 

Daniel Appelö and Gunilla Kreiss  


Evaluation of a Wellposed Perfectly Matched Layer for
Computational Acoustics  

285 
(10) 

P. Arminjon and A. StCyr  


New Space Staggered and Time Interleaved 2nd Order
Finite Volume Methods  

295 
(10) 

Robert Artebrant and Hans Joachim Schroll  


Highresolution Riemannsolverfree Methods for
Conservation Laws  

305 
(10) 

Fumioki Asakura and Mitsuru Yamazaki  


Riemann Problem for Conservation Laws with an Umbilic
Point  

315 
(10) 

Admissibility of Shock Waves and Uniqueness of the
Riemann Problem  

325 
(10) 



Eulerian Approximate Ray Tracing and Applications to
Grid Generation  

335 
(12) 

Gert Bartholomeeusen, Hans De Sterck and Gilliane
Sills  


Nonconvex Flux Functions and Compound Shock Waves in
Sediment Beds  

347 
(10) 

Philippe Bechouche, Norbert J. Mauser and Sigmund
Selberg  


Derivation of Schrödinger Poisson as the
Nonrelativistic Limit of KleinGordon Maxwell  

357 
(12) 

Achi Brandt and Rima Gandlin  


Multigrid for Atmospheric Data Assimilation: Analysis  

369 
(8) 



A Theory of Implicit Methods for Scalar Conservation
Laws  

377 
(10) 

Steve Bryson and Doron Levy  


HighOrder Schemes for MultiDimensional  

387 
(10) 

R. Burger, K.H. Karsen, N.H. Risebro and J.D. Towers  


On a Model for Continuous Sedimentation in Vessels
with Discontinuous Crosssectional Area  

397 
(10) 



Numerical Approximation of the NavierStokes Equations
with Several Independent Specific Entropies  

407 
(12) 

GuiQiang Chen and Mikhail Feldman  


Existence and Stability of Multidimensional Transonic
Shocks for the Euler Equations for Steady Potential
Fluids in Unbounded Domains  

419 
(14) 

GuiQiang Chen, David Hoff and Konstantina Trivisa  


Analysis on a Model for the Dynamic Combustion of a
Compressible, Reacting Fluid  

433 
(10) 



Discontinuous Solutions of HamiltonJacobi Equations:
Existence, Uniqueness, and Regularity  

443 
(12) 

Rinaldo M. Colombo and Andrea Marson  


Conservation Laws and O.D.E.s.: A Traffic Problem  

455 
(8) 

Rinaldo M. Colombo and Andrea Corli  


Phase Transitions and ChapmanJouguet Combustions  

463 
(10) 



Weak Stability of Multidimensional Shocks  

473 
(10) 

V.G. Danilov and V.M. Shelkovich  


Propagation and Interaction of DeltaShock Waves of a
Hyperbolic System of Conservation Laws  

483 
(10) 

David Hoff and Helge Kristian Jenssen  


Multidimensional Compressible Flows with Symmetry  

493 
(6) 

Andreas Dedner, Christian Rohde and Matthias Wesenberg  


Efficient HigherOrder Finite Volume Schemes for (Real
Gas) Magnetohydrodynamics  

499 
(10) 

Andreas Dedner, Christian Rohde and Matthias Wesenberg  


A New Approach tp Divergence Cleaning in
Magnetohydrodynamic Simulations  

509 
(10) 

C. Doronin, N. Larkin and A. Souza  


Global Solutions for a Dusty Media Model  

519 
(10) 

Michael Fey and Manuel Torrilhon  


A Constrained Transport Upwind Scheme for
Divergencefree Advection  

529 
(10) 



Green's Function Pointwire Estimates for the Modified
LaxFriedrichs Scheme  

539 
(10) 



A Class of Global Non Smooth Axisymmetric Solutions to
the Euler Equations of an Isentropic Perfect Gas in 2
Space Dimensions  

549 
(8) 

Max D. Gunzburger, L. Steven Hou and Lili Ju  


A Numerical Method for Controllability Problems for
the Wave Equation  

557 
(12) 

Katarina Gustavsson and Björn Sjögreen  


Numerical Study of a Viscous Consolidation Model  

569 
(10) 

Ralf Hartmann and Paul Houston  


GoalOriented A Posteriori Error Estimation for
Multiple Target Functionals  

579 
(10) 



The Riemann Problem for a Phase Transition Problem in
Thermoelastic Materials  

589 
(10) 

Ling Hsiao, Qiangchang Ju and Shu Wang  


The Global Existence and Large Time Behavior of
Solutions to the Multidimensional EulerPoisson
Equations  

599 
(12) 

K.H. Karlsen, C. Klingenberg and N.H. Risebro  


Relaxation Schemes for Conservation Laws with
Discontinuous Coefficients  

611 
(10) 

Theodoros Katsaounis and Charalambos Makridakis  


Relaxation Models and Finite Element Schemes for the
Shallow Water Equations  

621 
(12) 

Theodoros Katsaounis and Chiara Simeoni  


Secondorder Approximation of the Viscous SaintVenant
System and Comparison with Experiments  

633 
(12) 



Dynamics of Multilayer Shear Flows  

645 
(10) 

Marco Kupiainen and Gunilla Kreiss  


Effects of Viscosity on a Shock Wave Solution of the
Euler Equations  

655 
(10) 



An Accurate Deterministic Projection Method for
Hyperbolic Systems with Stiff Source Term  

665 
(10) 

Marc Küther and Mario Ohlberger  


Adaptive Second Order Central Schemes on Unstructured
Staggered Grids  

675 
(10) 

Y.J. Lee, F. Kemm, C.D. Munz and R. Schneider  


Physical Symmetries and Hyperbolic GLM Divergence
Correction Scheme for Maxwell and MHD Equations  

685 
(10) 



Mathematical Modelling of Traffic Flows  

695 
(10) 



New HighResolution CentralUpwind Schemes for
Nonlinear Hyperbolic Conservation Laws  

705 
(12) 

Antonio Marquina and Susana Serna  


Afternotes on PHM: Harmonic ENO methods  

717 
(10) 

Corrado Mascia and Kevin Zumbrun  


Onedimensional Stability of Viscous Shock and
Relaxation Profiles  

727 
(8) 

A. Meister, A. Berg and U. Iben  


Simulation of Cavitation in Thermodynamic Equilibrium  

735 
(10) 

Pradeepa Nair and Amiya K. Pani  


Semidiscrete Finite Element Method for a Class of
Viscoelastic Problems with Long Memory under Condition
of Friction  

745 
(10) 

Kazuaki Nakape and Tomoko Shinohara  


Global Solutions for a Free Boundary Problem of
Hyperbolic Type in the Case of Nonnegative Peeling
Speed  

755 
(20) 



Stability Analysis for Periodic Solution Waves in
Viscous Conservation Tao Pan and Hongxia Liu Scalar
Conservation Laws with Boundary Effect  

775 
(14) 



To the Theory of Generalized Entropy Solutions of the
Cauchy Problem for a First Order Quasilinear Equation in
the Class of Locally Integrable Functions  

789 
(8) 



Pressure Linearization Method for the Computation of
Real Fluids  

797 
(10) 

E. Bruce Pitman, Abani Patra, Andy Bauer, Michael
Sheridan and Marcus Bursik  


Modeling and Computing Geophysical Mass Flows  

807 
(12) 



Adaptive Application of Characteristic Projection for
Central Schemes  

819 
(12) 

Richard Liska and Burton Wendroff  


Comparison of Several Difference Schemes for the Euler
Equations in 1D and 2D  

831 
(10) 

William J. Rider, Len G. Margolin and James R. Kamm  


Adaptive Time Integration for Hyperbolic Conservation
Equations  

841 
(10) 



A Constrained Transport Method for the Shallow Water
MHD Equations  

851 
(10) 



Solutions with Linear Profile of Velocity to the Euter
Equations in Several Dimensions
 

861 
(10) 

Eitan Tadmor and Jared Tanner  


An Adaptive Order Godunov Type Central Scheme  

871 
(10) 



Numerical Study of Dynamic Phase Transitions in 2D
with a Relaxed Scheme  

881 
(8) 



Particle Method for Simulation of Free Surface Flows  

889 
(10) 

Sergey D. Ustyugov and Alexander N. Andrianov  


Threedimensional Numerical Modelling of Convective
Instability by Supernova Explosion with Nested Grids
Scheme on Multiprocessors Systems  

899 
(10) 

F. Völker, R. Vilsmeier and D. Hänel  


A Local LevelSet Concept for Front Tracking on
Arbitrary Grids  

909 
(10) 



LargeTime Behavior of Solutions to the
MultiDimensional Euler Equations with Damping  

919 
(10) 



Isentropic Gas Dynamics with Large Data  

929 
(12) 

YongTao Zhang and ChiWang Shu  


Third and Fourth Order Weighted ENO Schemes for
HamiltonJacobi Equations on 2D Unstructured Meshes  

941 
(10) 



High Resolution Conjugate Filters for Hyperbolic
Conservation Laws  

951 
(8) 
List of Participants 

959 
