Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms
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Publication:2123867
DOI10.1016/j.jcp.2020.109828OpenAlexW2966177904WikidataQ115571372 ScholiaQ115571372MaRDI QIDQ2123867
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01027
inverse Lax-Wendroff procedureboundary treatmentimplicit-explicit Runge-Kutta methodhigh order finite differencehyperbolic systems with source terms
Related Items (4)
Boundary treatment of linear multistep methods for hyperbolic conservation laws ⋮ Inverse Lax-Wendroff Boundary Treatment: a Survey ⋮ Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit backward difference formulas up to fifth order for convection-diffusion equation ⋮ Strictly convex entropy and entropy stable schemes for reactive Euler equations
Cites Work
- Unnamed Item
- An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
- Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- Weighted essentially non-oscillatory schemes
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems
- Runge-Kutta methods without order reduction for linear initial boundary value problems
- Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions
- On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit
- Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows
- Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws
- A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows
- Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations
- On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems
- Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
- Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs
- Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems
- Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
- Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- On the Removal of Boundary Errors Caused by Runge–Kutta Integration of Nonlinear Partial Differential Equations
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
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