Conservative bicharacteristic upwind schemes for hyperbolic conservation laws. II

DOI10.1016/0898-1221(94)00230-IzbMath0820.65056MaRDI QIDQ1346846

Lan Chieh Huang

Publication date: 17 September 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical examplesRiemann problemhyperbolic conservation lawsEuler's equationsshocksnonreflecting boundary conditiontime steppingconservative bicharacteristic upwind schemes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics ⋮ A BICHARACTERISTICS METHOD FOR ADAPTIVE MODELING OF TRANSIENT WAVE PROPAGATION IN UNBOUNDED ACOUSTIC MEDIA

Cites Work

• A rotationally biased upwind difference scheme for the Euler equations
• High resolution schemes for hyperbolic conservation laws
• Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Pseudo-unsteady difference schemes for discontinuous solutions of steady- state, one-dimensional fluid dynamics problems
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Nonreflecting boundary conditions for nonlinear hyperbolic systems
• The numerical solution of hyperbolic systems of partial differential equations in three independent variables
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
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