Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions
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Publication:4240578
DOI10.1090/S0025-5718-99-01062-5zbMath0915.35069arXiv0711.0406OpenAlexW2063455823MaRDI QIDQ4240578
Philippe G. LeFloch, Jian-Guo Liu
Publication date: 28 April 1999
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.0406
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
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- High resolution schemes for hyperbolic conservation laws
- Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- An entropy satisfying MUSCL scheme for systems of conservation laws
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Hyperbolic systems of conservation laws II
- On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
- A Direct Eulerian MUSCL Scheme for Gas Dynamics
- Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
- Riemann Solvers, the Entropy Condition, and Difference
- Convergence of Generalized MUSCL Schemes
- The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws
- On the Convergence of Difference Approximations to Scalar Conservation Laws
- A Geometric Approach to High Resolution TVD Schemes
- Sur la convergence de la méthode d'Adomian
- Total-Variation-Diminishing Time Discretizations
- Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes
- Monotone Difference Approximations for Scalar Conservation Laws
- One-Sided Difference Approximations for Nonlinear Conservation Laws
- The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws
- On finite-difference approximations and entropy conditions for shocks
- On Wavewise Entropy Inequality for High Resolution Schemes II: Fully Discrete MUSCL Schemes with Exact Evolution in Small Time
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- The Convergence Rate of Godunov Type Schemes
- A MUSCL method satisfying all the numerical entropy inequalities
- On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case
- Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
- Systems of conservation laws
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
- Solutions with shocks: An example of an L1‐contractive semigroup
