Consistency of finite volume approximations to nonlinear hyperbolic balance laws
DOI10.1090/mcom/3569zbMath1452.65184arXiv1902.09047OpenAlexW3036217634WikidataQ114849155 ScholiaQ114849155MaRDI QIDQ5130998
Publication date: 31 October 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.09047
convergenceconsistencyconservation lawsbalance lawsfinite volume schemesRiemann problemdiscontinuous solutionshigh-order schemesgeneralized Riemann problemnumerical fluxLax-Wendroff theorem
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (6)
Cites Work
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- The generalized Riemann problems for compressible fluid flows: towards high order
- Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- A second-order Godunov-type scheme for compressible fluid dynamics
- The convergence of the GRP scheme
- Convergence of approximate solutions to conservation laws
- Weighted essentially non-oscillatory schemes
- Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations
- Introduction to ``Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method
- Thermodynamical effects and high resolution methods for compressible fluid flows
- Uniqueness of weak solutions of the Cauchy problem for general 2 x 2 conservation laws
- The unique limit of the Glimm scheme
- A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation
- On the weak consistency of finite volumes schemes for conservation laws on general meshes
- Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
- Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- Derivative Riemann solvers for systems of conservation laws and ader methods
- Generalized Riemann Problems in Computational Fluid Dynamics
- ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS
- A Lax--Wendroff type theorem for unstructured quasi-uniform grids
- Convergence of Generalized MUSCL Schemes
- A Geometric Approach to High Resolution TVD Schemes
- Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions
- Numerical Solution of Partial Differential Equations
- A MUSCL method satisfying all the numerical entropy inequalities
- An Analysis of a Class of Second-Order Accurate Godunov-Type Schemes
- Lax theorem and finite volume schemes
- A review of numerical methods for nonlinear partial differential equations
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
- Systems of conservation laws
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Hyperbolic Conservation Laws in Continuum Physics
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