Hyperbolic Problems: Theory, Numerics, Applications

Hou, Thomas Y.; Tadmor, Eitan

Hyperbolic Problems: Theory, Numerics, Applications

Edited by Thomas Y. Hou () and Eitan Tadmor ()

in Springer Books from Springer

Date: 2003
ISBN: 978-3-642-55711-8
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Chapters in this book:

Diffusion Limits of Kinetic Models: N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout and M. H. Vignal
Viscosity Solutions for Nonlinear Hyperbolic Systems: Alberto Bressan
Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media: Randall J. LeVeque and Darryl H. Yong
Energy Method for Equations in Gas Dynamics: Tai-Ping Liu and Shih-Hsien Yu
Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws: Benoît Perthame and Chiara Simeoni
An Overview on High Order Numerical Methods for Convection Dominated PDEs: Chi-Wang Shu
Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows: Björn Sjögreen and H. C. Yee
Nonlinear Boundary Layers of the Boltzmann Equation: Seiji Ukai, Tong Tang and Shih-Hsien Yu
An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples: Patrizia Bagnerini and Michel Rascle
The GRP Treatment of 2-D Complex Wave Structures: M. Ben-Artzi and J. Falcovitz
BV Solutions of Semidiscrete Upwind Scheme: Stefano Bianchini
A Supplement to Entropy Condition: Shuxing Chen
Robust Treatment of Interfaces for Fluid Flows and Computer Graphics: Doug Enright and Ron Fedkiw
Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors: Ingenuin Gasser, Ling Hsiao and Hailiang Li
Simplification. Conservation and Adaptivity in the Front Tracking Method: E. George, J. Glimm, J. W. Grove, X. L. Li, Y. J. Liu, Z. L. Xu and N. Zhao
Discrete Adjoint Approximations with Shocks: M. B. Giles
Far-field Evaluation via Nonreflecting Boundary Conditions: M. J. Grote and C. Kirsch
L 1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas: Seung-Yeal Ha and Athanasios E. Tzavaras
Recent Progress on Quantum Hydrodynamic Models for Semiconductors: Ansgar Jüngel, Hailiang Li, Peter A. Markowich and Shu Wang
Critical Thresholds and Conditional Stability for Euler Equations and Related Models: Hailiang Liu and Eitan Tadmor
High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation: Lorenzo Pareschi and Giovanni Russo
Some Results on the Boundary Control of Systems of Conservation Laws: Fabio Ancona, Alberto Bressan and Giuseppe Maria Coclite
Dynamics of Collapsing Bubbles Near Walls: Sigrid Andreae, Josef Ballmann, Siegfried Müller and Alexander Voß
The Riemann Problem for a Two-phase Model: Nikolai Andrianov, Richard Saurel and Gerald Warnecke
Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics: Daniel Appelö and Gunilla Kreiss
New Space Staggered and Time Interleaved 2 nd Order Finite Volume Methods: P. Arminjon and A. St-Cyr
High-resolution Riemann-solver-free Methods for Conservation Laws: Robert Artebrant and Hans Joachim Schroll
Riemann Problem for Conservation Laws with an Umbilic Point: Fumioki Asakura and Mitsuru Yamazaki
Admissibility of Shock Waves and Uniqueness of the Riemann Problem: Fumioki Asakura
Eulerian Approximate Ray Tracing and Applications to Grid Generation: Patrizia Bagnerini
Non-convex Flux Functions and Compound Shock Waves in Sediment Beds: Gert Bartholomeeusen, Hans De Sterck and Gilliane Sills
Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell: Philippe Bechouche, Norbert J. Mauser and Sigmund Selberg
Multigrid for Atmospheric Data Assimilation: Analysis: Achi Brandt and Rima Gandlin
A Theory of Implicit Methods for Scalar Conservation Laws: Michael Breuß
High-Order Schemes for Multi-Dimensional Hamilton-Jacobi Equations: Steve Bryson and Doron Levy
On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area: R. Bürger, K. H. Karlsen, N. H. Risebro and J. D. Towers
Numerical Approximation of the Navier-Stokes Equations with Several Independent Specific Entropies: C. Chalons and F. Coquel
Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains: Gui-Qiang Chen and Mikhail Feldman
Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid: Gui-Qiang Chen, David Hoff and Konstantina Trivisa
Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity: Gui-Qiang Chen and Bo Su
Conservation Laws and O.D.E.s. A Traffic Problem: Rinaldo M. Colombo and Andrea Marson
Phase Transitions and Chapman-Jouguet Combustions: Rinaldo M. Colombo and Andrea Corli
Weak Stability of Multidimensional Shocks: Jean-François Coulombel
Propagation and Interaction of Delta-Shock Waves of a Hyperbolic System of Conservation Laws: V. G. Danilov and V. M. Shelkovich
Multidimensional Compressible Flows with Symmetry: David Hoff and Helge Kristian Jenssen
Efficient Higher-Order Finite Volume Schemes for (Real Gas) Magnetohydrodynamics: Andreas Dedner, Christian Rohde and Matthias Wesenberg
A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations: Andreas Dedner, Christian Rohde and Matthias Wesenberg
Global Solutions for a Dusty Media Model: G. G. Doronin, N. A. Larkin and A. J. Souza
A Constrained Transport Upwind Scheme for Divergence-free Advection: Michael Fey and Manuel Torrilhon
Green’s Function Pointwise Estimates for the Modified Lax-Friedrichs Scheme: Pauline Godillon-Lafitte
A Class of Global Non-smooth Axisymmetric Solutions to the Euler Equations of an Isentropic Perfect Gas in 2 Space Dimensions: Paul Godin
A Numerical Method for Controllability Problems for the Wave Equation: Max D. Gunzburger, L. Steven Houl and Lili Ju
Numerical Study of a Viscous Consolidation Model: Katarina Gustavsson and Björn Sjögreen
Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals: Ralf Hartmann and Paul Houston
The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials: Harumi Hattori
The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations: Ling Hsiao, Qiangchang Ju and Shu Wang
Relaxation Schemes for Conservation Laws with Discontinuous Coefficients: K. H. Karlsen, C. Klingenberg and N. H. Risebro
Relaxation Models and Finite Element Schemes for the Shallow Water Equations: Theodoros Katsaounis and Charalambos Makridakis
Second Order Approximation of the Viscous Saint-Venant System and Comparison with Experiments: Theodoros Katsaounis and Chiara Simeoni
Dynamics of Multilayer Shear Flows: Igor L. Kliakhandler
Effects of Viscosity on a Shock Wave Solution of the Euler Equations: Marco Kupiainen and Gunilla Kreiss
An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term: Alexander Kurganov
Adaptive Second Order Central Schemes on Unstructured Staggered Grids: Marc Küther and Mario Ohlberger
Physical Symmetries and Hyperbolic GLM Divergence Correction Scheme for Maxwell and MHD Equations: Y.J. Lee, F. Kemm, C.-D. Munz and R. Schneider
Mathematical Modelling of Traffic Flows: Tong Li
New High-Resolution Central-Upwind Schemes for Nonlinear Hyperbolic Conservation Laws: Chi-Tien Lin
Afternotes on PHM: Harmonic ENO Methods: Antonio Marquina and Susana Serna
One-Dimensional Stability of Viscous Shock and Relaxation Profiles: Corrado Mascia and Kevin Zumbrun
Simulation of Cavitation in Thermodynamic Equilibrium: A. Meister, A. Berg and U. Iben
Semi-discrete Finite Element Method for a Class of Visco-elastic Problems with Long Memory under Condition of Friction: Pradeepa Nair and Amiya K. Pani
Global Solutions for a Free Boundary Problem of Hyperbolic Type in the Case of Non-negative Peeling Speed: Kazuaki Nakane and Tomoko Shinohara
Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws: Myunghyun Oh
Scalar Conservation Laws with Boundary Effect: Tao Pan and Hongxia Liu
To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions: E.Yu. Panov
Pressure Linearization Method for the Computation of Real Fluids: Marica Pelanti
Modeling and Computing Geophysical Mass Flows: E. Bruce Pitman, Abani Patra, Andy Bauer, Michael Sheridan and Marcus Bursik
Adaptive Application of Characteristic Projection for Central Schemes: Gabriella Puppo
Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D: Richard Liska and Burton Wendroff
Adaptive Time Integration for Hyperbolic Conservation Equations: William J. Rider, Len G. Margolin and James R. Kamm
A Constrained Transport Method for the Shallow Water MHD Equations: James A. Rossmanith
Solutions with Linear Profile of Velocity to the Euler Equations in Several Dimensions: Olga S. Rozanova
An Adaptive Order Godunov Type Central Scheme: Eitan Tadmor and Jared Tanner
Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme: Shaoqiang Tang
Particle Method for Simulation of Free Surface Flows: S. Tiwari and J. Kuhnert’
Three Dimensional Numerical Modelling of Convective Instability by Supernova Explosion with Nested Grids Scheme on Multiprocessors Systems: Sergey D. Ustyugov and Alexander N. Andrianov
A Local Level-Set Concept for Front Tracking on Arbitrary Grids: F. Völker, R. Vilsmeier and D. Hänel
Large-Time Behavior of Solutions to the Multi-Dimensional Euler Equations with Damping: Dehua Wang
Isentropic Gas Dynamics with Large Data: Robin Young
Third and Fourth Order Weighted ENO Schemes for Hamilton-Jacobi Equations on 2D Unstructured Meshes: Yong-Tao Zhang and Chi-Wang Shu
High Resolution Conjugate Filters for Hyperbolic Conservation Laws: Y. C. Zhou and G. W. Wei

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DOI: 10.1007/978-3-642-55711-8

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