Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods (Q2674170)

scientific article

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English	Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods	scientific article

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instance of

scholarly article

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title

Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods (English)

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zbMATH Open document ID

1497.65176

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DOI

10.1007/s10915-022-01982-w

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author

Shinhoo Kang

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Emil M. Constantinescu

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published in

Journal of Scientific Computing

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publication date

22 September 2022

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full work available at URL

https://arxiv.org/abs/2108.08908

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Mathematics Subject Classification ID

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entropy conservation/stability

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discontinuous Galerkin

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implicit-explicit

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multirate integrator

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Burgers equation

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cites work

RRK_rr

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Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

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On discretely entropy conservative and entropy stable discontinuous Galerkin methods

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The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I

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On a Cell Entropy Inequality for Discontinuous Galerkin Methods

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Well-Posed Boundary Conditions for the Navier--Stokes Equations

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains

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A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

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Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

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A generalized framework for nodal first derivative summation-by-parts operators

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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

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An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

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Summation-by-parts in time

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High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators

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A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions

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Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws

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Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms

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An explicit finite-difference scheme with exact conservation properties

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A method for the integration in time of certain partial differential equations

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General relaxation methods for initial-value problems with application to multistep schemes

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Relaxation Runge-Kutta methods for Hamiltonian problems

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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Multirate timestepping methods for hyperbolic conservation laws

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A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems

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IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems

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Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

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Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling

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A communication-avoiding implicit-explicit method for a free-surface ocean model

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A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics

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IMEX and exact sequence discretization of the multi-fluid plasma model

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Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

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A time-split nonhydrostatic atmospheric model for weather research and forecasting applications

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Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows

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Multirate infinitesimal step methods for atmospheric flow simulation

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Multi-rate time integration on overset meshes

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On the Preservation of Invariants by Explicit Runge--Kutta Methods

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Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation

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Additive Runge-Kutta schemes for convection-diffusion-reaction equations

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Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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describes a project that uses

RRK_rr

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MaRDI profile type

MaRDI publication profile

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Mathematics(1 entry)

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