A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK
Abstract: Reliable simulations of flows in real applications involve the task of discretizing both space and time in an accurate and efficient way. To cope with the large semidiscrete systems resulting from a space discretization on appropriate grids, which often include comparatively few very small cells near solid walls for boundary layer resolution, an implicit‐explicit time stepping scheme can be the most efficient variant. We present such a type of scheme utilizing recent exponential integrators called sEPIRK and show its computational advantages opposed to IMEX‐Runge‐Kutta schemes.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)
- Creator
-
Straub, Veronika
Ortleb, Sigrun
Birken, Philipp
Meister, Andreas
- DOI
-
10.1002/pamm.201900142
- URN
-
urn:nbn:de:101:1-2022072207422614884620
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:28 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Straub, Veronika
- Ortleb, Sigrun
- Birken, Philipp
- Meister, Andreas
Other Objects (12)
Subdomain-based exponential integrators for quantum Liouville-type equations
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations
Weak convergence of tamed exponential integrators for stochastic differential equations
Exponential Integrators for Second-Order in Time Partial Differential Equations
Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations
Rational Krylov subspace methods for phi-functions in exponential integrators
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
Family of higher order exponential variational integrators for split potential systems
Integrator
ADC based on a fully differential current mode integrator
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity
Truncated-exponential-based Frobenius–Euler polynomials
Subdomain-based exponential integrators for quantum Liouville-type equations
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations
Weak convergence of tamed exponential integrators for stochastic differential equations
Exponential Integrators for Second-Order in Time Partial Differential Equations
Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations
Rational Krylov subspace methods for phi-functions in exponential integrators
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
Family of higher order exponential variational integrators for split potential systems
Integrator
ADC based on a fully differential current mode integrator
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity
Truncated-exponential-based Frobenius–Euler polynomials
Subdomain-based exponential integrators for quantum Liouville-type equations
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations
Weak convergence of tamed exponential integrators for stochastic differential equations
Exponential Integrators for Second-Order in Time Partial Differential Equations
Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations
Rational Krylov subspace methods for phi-functions in exponential integrators
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
Family of higher order exponential variational integrators for split potential systems
Integrator
ADC based on a fully differential current mode integrator
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity