Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System
From MaRDI portal
Publication:3043571
DOI10.1142/S0218202503002829zbMath1053.35086arXiv1001.3666OpenAlexW3100528909MaRDI QIDQ3043571
Publication date: 6 August 2004
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.3666
First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Perturbations in context of PDEs (35B20)
Related Items
Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems, Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation, Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws, Global bounded variation solutions describing Fanno–Rayleigh fluid flows in nozzles, Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability, Choice of measure source terms in interface coupling for a model problem in gas dynamics, Locally Inertial Approximations of Balance Laws Arising in (1+1)-Dimensional General Relativity, Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation
Cites Work
- A kinetic equation with kinetic entropy functions for scalar conservation laws
- Hyperbolic conservation laws with relaxation
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
- Convergence of relaxation schemes to the equations of elastodynamics
- A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves
- Localization effects and measure source terms in numerical schemes for balance laws
- On the Rate of Convergence to Equilibrium for a System of Conservation Laws with a Relaxation Term
- Nonconservative Products in Bounded Variation Functions
- Convergence Results for Some Conservation Laws with a Reflux Boundary Condition and a Relaxation Term Arising in Chemical Engineering
- Kruzkov’s estimates for scalar conservation laws revisited
- Convergence and error estimates of relaxation schemes for multidimensional conservation laws
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- Kinetic Semidiscretization of Scalar Conservation Laws and Convergence by Using Averaging Lemmas
- Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions
- Convergence of relaxation schemes for conservation laws
- An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws
- Stiff Systems of Hyperbolic Conservation Laws: Convergence and Error Estimates
- Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Representation of Weak Limits and Definition of Nonconservative Products
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Cauchy problem for hyperbolic conservation laws with a relaxation term
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
