Ebook: Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects: Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3 to 8, 1992

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Content:
Front Matter....Pages I-IX
On Spurious Difference Solutions of Discretizations of Nonlinear Hyperbolic Differential Equations....Pages 1-9
Symmetry Analysis for Waves in Hole Enlargement....Pages 10-14
Flux Formulation using a Fully 2D Approximate Roe Riemann Solver....Pages 15-22
Extended Thermodynamics of Charge Carrier Transport in Semiconductors....Pages 23-32
Resonances of Schwarzschild Black Holes....Pages 33-40
Well-Posedness of Nonlinear Hyperbolic Problems and the Dynamics of Compressible Fluids....Pages 41-47
Numerical Viscosity, Entropy Condition and Convergence of Finite Volume Schemes for General Multidimensional Conservation Laws....Pages 48-55
Existence of solutions for a class of hyperbolic systems of p conservation laws (p ? 3)....Pages 56-61
Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method....Pages 62-69
A Practical Hyperbolic Problem: The Unsteady Gas-Liquid Flow in a Pipe....Pages 70-76
Stability of Shock Waves for 3 ? 3 Model MHD Equations....Pages 77-85
Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods....Pages 86-108
Discrete Boltzmann Equation with Multiple Collisions....Pages 109-118
The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem....Pages 119-126
Hyperbolic Problems in Kinetic Theory....Pages 127-137
Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations....Pages 138-143
Large Time, Weak Solutions to Reacting Euler Equations....Pages 144-149
Classes of Exact Solutions for the Discrete Boltzmann Models....Pages 150-158
On a Class of Large Time-Step Schemes for Conservation Laws....Pages 159-170
A Numerical Technique to Compute Euler Flows at Impermeable Boundaries Based on Physical Considerations....Pages 171-178
Equivalence of Referential and Spatial Field Equations in Continuum Physics....Pages 179-183
Weak Solutions in Rate Type Dynamic Viscoplasticity....Pages 184-191
Improved Residual Smoothing....Pages 192-198
Second order Evolution Equations and Progressive Waves....Pages 199-203
Parallel Computer Solution of the Wave Equation....Pages 204-216
Numerical Solution of a Moving Boundary Hyperbolic Problem....Pages 217-226
A New Multidimensional Euler-Scheme....Pages 227-234
The influence of a source term, an example: chemically reacting hypersonic flow....Pages 235-245
Implicit Schemes for P-System Equations Via Roe’s Linearisation....Pages 246-257
A Reduction Approach for Determing Exact Solutions to a Hyperbolic Nonautonomous Model....Pages 258-267
Spectral Element-FCT Method for the Compressible Euler Equations....Pages 268-275
Multi-dimensional Riemann problems for linear hyperbolic systems: Part I....Pages 276-283
Multi-dimensional Riemann problems for linear hyperbolic systems: Part II....Pages 284-290
A Theory of Fluid Mixing....Pages 291-297
Simple Godunov-Type Schemes for Lagrangean Gas Dynamics....Pages 298-305
A Modified GMRES Method for Steady State Solutions of Hyperbolic Systems....Pages 306-314
Absorbing Boundary Conditions for Maxwell’s Equations....Pages 315-322
Shock Wave Analysis for Hyperbolic Systems of Conservation Laws Having Spatial Variability....Pages 323-328
A Mathematical Model of Traffic Flow on a Network of Roads....Pages 329-335
A Generalized Lagrangian Method for Solving the Euler Equations....Pages 336-346
Parameter Identification for a Hyperbolic Equation Modelling Chromatography....Pages 347-353
Weak Discontinuity Interaction with Shocks and the Reductive Perturbation Method with Positive and Negative Nonlinearity....Pages 354-362
Improvements of Upwind Formulations on Unstructured Meshes....Pages 363-368
Regularity of a scalar Riemann problem in two space dimensions....Pages 369-376
Convergence to Steady State of Solutions of Viscous Conservation Laws....Pages 377-384
A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws....Pages 385-392
Multi-Dimensional Numerical Schemes....Pages 393-400
A Linear Hyperbolic System with Stiff Source Terms....Pages 401-408
Energy Propagation in Linear Hyperbolic Systems in the Presence of Dissipation....Pages 409-415
Nonlinear Evolution of an Obliquely Propagating Hydromagnetic Wave....Pages 416-423
Two-Dimensional Boundary Layer Equations: High Resolution Capturing Methods....Pages 424-429
Characteristic Galerkin Methods for Hyperbolic Problems....Pages 430-439
The Symmetric Hyperbolic Equations of Extended Thermodynamics....Pages 440-448
Non linear Klein-Gordon equation on Schwarzschild-like metrics....Pages 449-456
Galilean Quasilinear Systems of PDE’s and the Substitution Principle....Pages 457-464
Some Asymptotic Results Concerning a Hyperbolic Mixed Problem in Viscoelasticity....Pages 465-471
Waves in Media with Periodic Fine Structure....Pages 472-480
On Some Exact Solutions of Hyperbolic Boussinesq Equation with Dissipation....Pages 481-486
Convergence of Approximate Solutions of the Cauchy Problem for a 2?2 Nonstrictly Hyperbolic System of Conservation Laws....Pages 487-494
Universal Principles for Balance Law Systems....Pages 495-503
Implicit Numerical Methods for Kinetic Equations....Pages 504-511
Travelling Wave Solutions of Convection-Diffusion Systems and Nonconservative Hyperbolic Systems....Pages 512-519
The Riemann Problem for Two-Dimensional Gas Dynamics....Pages 520-527
Flux — Vector Splitting for Compressible Low Mach Number Flow....Pages 528-535
Application of an E.N.O. Scheme to Simulate the Ion Etching Process....Pages 536-543
Entropy Dissipation in Finite Difference Schemes....Pages 544-549
The Resolution of Compressible Flow Fields by Adaptive Finite Volume Methods....Pages 550-556
Hyperbolic Conservation Laws, Finite Difference Schemes and Error Estimates....Pages 557-564
Numerical Simulation of High Speed Reactive Flows with Adaptive Mesh Refinement....Pages 565-577
A Model for Pipeline Three-Phase Flows....Pages 578-589
The Compactness of Front Tracking for Chromatography Electrophoresis and Incompressible Multiphase Flow....Pages 590-596
Singular Perturbations of First-Order Hyperbolic Systems....Pages 597-604
Back Matter....Pages 605-613

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Content:
Front Matter....Pages I-IX
On Spurious Difference Solutions of Discretizations of Nonlinear Hyperbolic Differential Equations....Pages 1-9
Symmetry Analysis for Waves in Hole Enlargement....Pages 10-14
Flux Formulation using a Fully 2D Approximate Roe Riemann Solver....Pages 15-22
Extended Thermodynamics of Charge Carrier Transport in Semiconductors....Pages 23-32
Resonances of Schwarzschild Black Holes....Pages 33-40
Well-Posedness of Nonlinear Hyperbolic Problems and the Dynamics of Compressible Fluids....Pages 41-47
Numerical Viscosity, Entropy Condition and Convergence of Finite Volume Schemes for General Multidimensional Conservation Laws....Pages 48-55
Existence of solutions for a class of hyperbolic systems of p conservation laws (p ? 3)....Pages 56-61
Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method....Pages 62-69
A Practical Hyperbolic Problem: The Unsteady Gas-Liquid Flow in a Pipe....Pages 70-76
Stability of Shock Waves for 3 ? 3 Model MHD Equations....Pages 77-85
Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods....Pages 86-108
Discrete Boltzmann Equation with Multiple Collisions....Pages 109-118
The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem....Pages 119-126
Hyperbolic Problems in Kinetic Theory....Pages 127-137
Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations....Pages 138-143
Large Time, Weak Solutions to Reacting Euler Equations....Pages 144-149
Classes of Exact Solutions for the Discrete Boltzmann Models....Pages 150-158
On a Class of Large Time-Step Schemes for Conservation Laws....Pages 159-170
A Numerical Technique to Compute Euler Flows at Impermeable Boundaries Based on Physical Considerations....Pages 171-178
Equivalence of Referential and Spatial Field Equations in Continuum Physics....Pages 179-183
Weak Solutions in Rate Type Dynamic Viscoplasticity....Pages 184-191
Improved Residual Smoothing....Pages 192-198
Second order Evolution Equations and Progressive Waves....Pages 199-203
Parallel Computer Solution of the Wave Equation....Pages 204-216
Numerical Solution of a Moving Boundary Hyperbolic Problem....Pages 217-226
A New Multidimensional Euler-Scheme....Pages 227-234
The influence of a source term, an example: chemically reacting hypersonic flow....Pages 235-245
Implicit Schemes for P-System Equations Via Roe’s Linearisation....Pages 246-257
A Reduction Approach for Determing Exact Solutions to a Hyperbolic Nonautonomous Model....Pages 258-267
Spectral Element-FCT Method for the Compressible Euler Equations....Pages 268-275
Multi-dimensional Riemann problems for linear hyperbolic systems: Part I....Pages 276-283
Multi-dimensional Riemann problems for linear hyperbolic systems: Part II....Pages 284-290
A Theory of Fluid Mixing....Pages 291-297
Simple Godunov-Type Schemes for Lagrangean Gas Dynamics....Pages 298-305
A Modified GMRES Method for Steady State Solutions of Hyperbolic Systems....Pages 306-314
Absorbing Boundary Conditions for Maxwell’s Equations....Pages 315-322
Shock Wave Analysis for Hyperbolic Systems of Conservation Laws Having Spatial Variability....Pages 323-328
A Mathematical Model of Traffic Flow on a Network of Roads....Pages 329-335
A Generalized Lagrangian Method for Solving the Euler Equations....Pages 336-346
Parameter Identification for a Hyperbolic Equation Modelling Chromatography....Pages 347-353
Weak Discontinuity Interaction with Shocks and the Reductive Perturbation Method with Positive and Negative Nonlinearity....Pages 354-362
Improvements of Upwind Formulations on Unstructured Meshes....Pages 363-368
Regularity of a scalar Riemann problem in two space dimensions....Pages 369-376
Convergence to Steady State of Solutions of Viscous Conservation Laws....Pages 377-384
A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws....Pages 385-392
Multi-Dimensional Numerical Schemes....Pages 393-400
A Linear Hyperbolic System with Stiff Source Terms....Pages 401-408
Energy Propagation in Linear Hyperbolic Systems in the Presence of Dissipation....Pages 409-415
Nonlinear Evolution of an Obliquely Propagating Hydromagnetic Wave....Pages 416-423
Two-Dimensional Boundary Layer Equations: High Resolution Capturing Methods....Pages 424-429
Characteristic Galerkin Methods for Hyperbolic Problems....Pages 430-439
The Symmetric Hyperbolic Equations of Extended Thermodynamics....Pages 440-448
Non linear Klein-Gordon equation on Schwarzschild-like metrics....Pages 449-456
Galilean Quasilinear Systems of PDE’s and the Substitution Principle....Pages 457-464
Some Asymptotic Results Concerning a Hyperbolic Mixed Problem in Viscoelasticity....Pages 465-471
Waves in Media with Periodic Fine Structure....Pages 472-480
On Some Exact Solutions of Hyperbolic Boussinesq Equation with Dissipation....Pages 481-486
Convergence of Approximate Solutions of the Cauchy Problem for a 2?2 Nonstrictly Hyperbolic System of Conservation Laws....Pages 487-494
Universal Principles for Balance Law Systems....Pages 495-503
Implicit Numerical Methods for Kinetic Equations....Pages 504-511
Travelling Wave Solutions of Convection-Diffusion Systems and Nonconservative Hyperbolic Systems....Pages 512-519
The Riemann Problem for Two-Dimensional Gas Dynamics....Pages 520-527
Flux — Vector Splitting for Compressible Low Mach Number Flow....Pages 528-535
Application of an E.N.O. Scheme to Simulate the Ion Etching Process....Pages 536-543
Entropy Dissipation in Finite Difference Schemes....Pages 544-549
The Resolution of Compressible Flow Fields by Adaptive Finite Volume Methods....Pages 550-556
Hyperbolic Conservation Laws, Finite Difference Schemes and Error Estimates....Pages 557-564
Numerical Simulation of High Speed Reactive Flows with Adaptive Mesh Refinement....Pages 565-577
A Model for Pipeline Three-Phase Flows....Pages 578-589
The Compactness of Front Tracking for Chromatography Electrophoresis and Incompressible Multiphase Flow....Pages 590-596
Singular Perturbations of First-Order Hyperbolic Systems....Pages 597-604
Back Matter....Pages 605-613
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