Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3 to 8, 1992

Editors:

ISBN: 978-3-528-07643-6 (Print) 978-3-322-87871-7 (Online)

Table of contents (72 chapters)

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  1. Front Matter

    Pages I-IX

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    Chapter

    Pages 1-9

    On Spurious Difference Solutions of Discretizations of Nonlinear Hyperbolic Differential Equations

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    Chapter

    Pages 10-14

    Symmetry Analysis for Waves in Hole Enlargement

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    Chapter

    Pages 15-22

    Flux Formulation using a Fully 2D Approximate Roe Riemann Solver

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    Chapter

    Pages 23-32

    Extended Thermodynamics of Charge Carrier Transport in Semiconductors

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    Chapter

    Pages 33-40

    Resonances of Schwarzschild Black Holes

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    Chapter

    Pages 41-47

    Well-Posedness of Nonlinear Hyperbolic Problems and the Dynamics of Compressible Fluids

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    Chapter

    Pages 48-55

    Numerical Viscosity, Entropy Condition and Convergence of Finite Volume Schemes for General Multidimensional Conservation Laws

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    Chapter

    Pages 56-61

    Existence of solutions for a class of hyperbolic systems of p conservation laws (p ≥ 3)

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    Chapter

    Pages 62-69

    Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method

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    Chapter

    Pages 70-76

    A Practical Hyperbolic Problem: The Unsteady Gas-Liquid Flow in a Pipe

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    Chapter

    Pages 77-85

    Stability of Shock Waves for 3 × 3 Model MHD Equations

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    Chapter

    Pages 86-108

    Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods

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    Chapter

    Pages 109-118

    Discrete Boltzmann Equation with Multiple Collisions

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    Chapter

    Pages 119-126

    The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem

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    Chapter

    Pages 127-137

    Hyperbolic Problems in Kinetic Theory

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    Chapter

    Pages 138-143

    Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations

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    Chapter

    Pages 144-149

    Large Time, Weak Solutions to Reacting Euler Equations

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    Chapter

    Pages 150-158

    Classes of Exact Solutions for the Discrete Boltzmann Models

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    Chapter

    Pages 159-170

    On a Class of Large Time-Step Schemes for Conservation Laws

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    Chapter

    Pages 171-178

    A Numerical Technique to Compute Euler Flows at Impermeable Boundaries Based on Physical Considerations

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