High order finite volume schemes for balance laws with stiff relaxation
DOI10.1016/j.compfluid.2017.10.009zbMath1410.65339OpenAlexW2761442533MaRDI QIDQ720851
Giovanni Russo, Sebastiano Boscarino, Matteo Semplice
Publication date: 18 July 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.10.009
hyperbolic systemsfinite volume schemesrelaxationRunge-Kutta methodsstiff problemsimplicit-explicit schemes
Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45) Numerical methods for stiff equations (65L04) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- Hyperbolic conservation laws with relaxation
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
- On shock solutions to balance equations for slow and fast chemical reaction
- Well-balanced high order 1D schemes on non-uniform grids and entropy residuals
- On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- An Imex finite volume scheme for reactive Euler equations arising from kinetic theory
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Central Schemes for Balance Laws of Relaxation Type
- Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
- High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- Solving Ordinary Differential Equations I
- Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
- On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
- Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors
- Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
- Central WENO schemes for hyperbolic systems of conservation laws
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- CWENO: Uniformly accurate reconstructions for balance laws
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Flux-Explicit IMEX Runge--Kutta Schemes for Hyperbolic to Parabolic Relaxation Problems
- Higher-order relaxation schemes for hyperbolic systems of conservation laws
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