Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods
DOI10.1007/s10915-022-01982-wzbMath1497.65176arXiv2108.08908OpenAlexW3195419003MaRDI QIDQ2674170
Emil M. Constantinescu, Shinhoo Kang
Publication date: 22 September 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.08908
Burgers equationdiscontinuous Galerkinimplicit-explicitentropy conservation/stabilitymultirate integrator
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for stiff equations (65L04)
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Cites Work
- RRK_rr
- Summation-by-parts in time
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics
- A generalized framework for nodal first derivative summation-by-parts operators
- A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Relaxation Runge-Kutta methods for Hamiltonian problems
- A method for the integration in time of certain partial differential equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- An explicit finite-difference scheme with exact conservation properties
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions
- General relaxation methods for initial-value problems with application to multistep schemes
- Multi-rate time integration on overset meshes
- IMEX and exact sequence discretization of the multi-fluid plasma model
- IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems
- Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
- A communication-avoiding implicit-explicit method for a free-surface ocean model
- Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
- Multirate infinitesimal step methods for atmospheric flow simulation
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Multirate timestepping methods for hyperbolic conservation laws
- A time-split nonhydrostatic atmospheric model for weather research and forecasting applications
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- On the Preservation of Invariants by Explicit Runge--Kutta Methods
- High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms
- Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
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