A relaxation scheme for conservation laws with a discontinuous coefficient
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Publication:4813582
DOI10.1090/S0025-5718-03-01625-9zbMath1078.65076MaRDI QIDQ4813582
Christian Klingenberg, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- Unconditionally stable methods for Hamilton-Jacobi equations
- Hyperbolic conservation laws with relaxation
- A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
- Materials with internal variables and relaxation to conservation laws
- Stability of conservation laws with discontinuous coefficients
- Relaxation approximation to front propagation
- The zero relaxation limit for the hydrodynamic Whitham traffic flow model
- Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
- Semi-linear and kinetic relaxation for systems of conservation laws
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units
- The Cauchy problem for hyperbolic conservation laws with three equations
- Relaxation limit for piecewise smooth solutions to systems of conservation laws
- Convergence of the relaxation approximation to a scalar nonlinear hyperbolic equation arising in chromatography
- Finite volume relaxation schemes for multidimensional conservation laws
- Convergence of relaxation schemes to the equations of elastodynamics
- On the Rate of Convergence to Equilibrium for a System of Conservation Laws with a Relaxation Term
- Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
- Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms
- Convergence and error estimates of relaxation schemes for multidimensional conservation laws
- Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics
- Viscosity Solutions and Convergence of Monotone Schemes for Synthetic Aperture Radar Shape-from-Shading Equations with Discontinuous Intensities
- Zero relaxation and dissipation limits for hyperbolic conservation laws
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Convergence of relaxation schemes for conservation laws
- Contractive relaxation systems and the scalar multidimensional conservation law
- Stiff Systems of Hyperbolic Conservation Laws: Convergence and Error Estimates
- On numerical entropy inequalities for a class of relaxed schemes
- Convergence Rates for Relaxation Schemes Approximating Conservation Laws
- Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
- Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
- A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case
- The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws
- On Scalar Conservation Laws with Point Source and Discontinuous Flux Function
- Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior
- A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
- Cauchy problem for hyperbolic conservation laws with a relaxation term
- Stability of a resonant system of conservation laws modeling polymer flow with gravitation
- Convergence of a relaxation scheme for hyperbolic systems of conservation laws
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