An asymptotic preserving semi-implicit multiderivative solver
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Publication:2227679
DOI10.1016/j.apnum.2020.09.004zbMath1459.65159arXiv2001.08268OpenAlexW3088860862MaRDI QIDQ2227679
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.08268
Diffusion (76R50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (7)
Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method ⋮ Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method ⋮ Jacobian-free implicit MDRK methods for stiff systems of ODEs ⋮ An explicitness-preserving IMEX-split multiderivative method ⋮ High-order multiderivative IMEX schemes ⋮ Parallel-in-time high-order multiderivative IMEX solvers ⋮ Stability of implicit multiderivative deferred correction methods
Cites Work
- A new stable splitting for singularly perturbed ODEs
- An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
- High-order multiderivative time integrators for hyperbolic conservation laws
- Partitioned and implicit-explicit general linear methods for ordinary differential equations
- Multistep-multistage-multiderivative methods for ordinary differential equations
- On explicit two-derivative Runge-Kutta methods
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
- Perturbation methods in applied mathematics
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Spectral deferred correction methods for ordinary differential equations
- All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
- Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
- A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers
- Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations
- Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
- A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system
- Construction of IMEX DIMSIMs of high order and stage order
- Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- Semi-discrétisation en temps pour les équations d'évolution paraboliques lorsque l'opérateur dépend du temps
- 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
- Integral deferred correction methods constructed with high order Runge–Kutta integrators
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations
- Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A Novel Full-Euler Low Mach Number IMEX Splitting
- A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
- All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
- IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
- Multiple pressure variables methods for fluid flow at all Mach numbers
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