Parallel-in-time high-order multiderivative IMEX solvers
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Publication:2063180
DOI10.1007/s10915-021-01733-3zbMath1481.65105arXiv2101.07846OpenAlexW4205285183MaRDI QIDQ2063180
David C. Seal, Jochen Schütz, Jonas Zeifang
Publication date: 10 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07846
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
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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, Stability of implicit multiderivative deferred correction methods, Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws
Uses Software
Cites Work
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- A new stable splitting for singularly perturbed ODEs
- Explicit strong stability preserving multistage two-derivative time-stepping schemes
- Implicit parallel time integrators
- Toward an efficient parallel in time method for partial differential equations
- High-order multiderivative time integrators for hyperbolic conservation laws
- Derivation of three-derivative Runge-Kutta methods
- Reprint of: ``Approximate Taylor methods for ODEs
- On explicit two-derivative Runge-Kutta methods
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Spectral deferred correction methods for ordinary differential equations
- Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations
- An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation laws
- Deferred correction methods for ordinary differential equations
- Implementation of second derivative general linear methods
- Implicit-explicit second derivative diagonally implicit multistage integration methods
- A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system
- An asymptotic preserving semi-implicit multiderivative solver
- High-order multiderivative IMEX schemes
- On the convergence of spectral deferred correction methods
- A class of two-derivative two-step Runge-Kutta methods for non-stiff ODEs
- Revisionist integral deferred correction with adaptive step-size control
- Explicit discontinuous Galerkin methods for unsteady problems
- On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
- On Turan type implicit Runge-Kutta methods
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- 50 Years of Time Parallel Time Integration
- Parallel High-Order Integrators
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations
- Low-Storage Integral Deferred Correction Methods for Scientific Computing
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A Novel Full-Euler Low Mach Number IMEX Splitting
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
- On the Convergence of Numerical Solutions to Ordinary Differential Equations
- Quadrature Formulas with Multiple Gaussian Nodes
- Parallel Methods for the Numerical Integration of Ordinary Differential Equations
- Applications of time parallelization
