Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300796851> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W4300796851 abstract "Models in cardiac electrophysiology are coupled systems of reaction diffusion PDE and of ODE. The ODE system displays a very stiff behavior. It is non linear and its upgrade at each time step is a preponderant load in the computational cost. The issue is to develop high order explicit and stable methods to cope with this situation.In this article, is is analyzed the resort to exponential Adams Bashforth (EAB) integrators in cardiac electrophysiology. The method is presented in the framework of a general and varying stabilizer, that is well suited in this context. Stability under perturbation (or 0-stability) is proven. It provides a new approach for the convergence analysis of the method. The Dahlquist stability properties of the method is performed. It is presented in a new framework that incorporates the discrepancy between the stabilizer and the system Jacobian matrix. Provided this discrepancy is small enough, the method is shown to be A(alpha)-stable. This result is interesting for an explicit time-stepping method. Numerical experiments are presented for two classes of stiff models in cardiac electrophysiology. They include performances comparisons with several classical methods. The EAB method is observed to be as stable as implicit solvers and cheaper at equal level of accuracy." @default.
- W4300796851 created "2022-10-04" @default.
- W4300796851 creator A5013004620 @default.
- W4300796851 creator A5049299122 @default.
- W4300796851 creator A5062037573 @default.
- W4300796851 date "2018-04-26" @default.
- W4300796851 modified "2023-10-18" @default.
- W4300796851 title "Exponential Adams Bashforth integrators for stiff ODEs, application to cardiac electrophysiology" @default.
- W4300796851 doi "https://doi.org/10.48550/arxiv.1804.09927" @default.
- W4300796851 hasPublicationYear "2018" @default.
- W4300796851 type Work @default.
- W4300796851 citedByCount "0" @default.
- W4300796851 crossrefType "posted-content" @default.
- W4300796851 hasAuthorship W4300796851A5013004620 @default.
- W4300796851 hasAuthorship W4300796851A5049299122 @default.
- W4300796851 hasAuthorship W4300796851A5062037573 @default.
- W4300796851 hasBestOaLocation W43007968511 @default.
- W4300796851 hasConcept C122700484 @default.
- W4300796851 hasConcept C126322002 @default.
- W4300796851 hasConcept C127413603 @default.
- W4300796851 hasConcept C133731056 @default.
- W4300796851 hasConcept C134306372 @default.
- W4300796851 hasConcept C151730666 @default.
- W4300796851 hasConcept C154945302 @default.
- W4300796851 hasConcept C185263204 @default.
- W4300796851 hasConcept C186219872 @default.
- W4300796851 hasConcept C200331156 @default.
- W4300796851 hasConcept C205606062 @default.
- W4300796851 hasConcept C2775924081 @default.
- W4300796851 hasConcept C2776257435 @default.
- W4300796851 hasConcept C2779343474 @default.
- W4300796851 hasConcept C28826006 @default.
- W4300796851 hasConcept C31258907 @default.
- W4300796851 hasConcept C33923547 @default.
- W4300796851 hasConcept C34862557 @default.
- W4300796851 hasConcept C41008148 @default.
- W4300796851 hasConcept C43012357 @default.
- W4300796851 hasConcept C47446073 @default.
- W4300796851 hasConcept C51544822 @default.
- W4300796851 hasConcept C61381695 @default.
- W4300796851 hasConcept C65889100 @default.
- W4300796851 hasConcept C71924100 @default.
- W4300796851 hasConcept C78045399 @default.
- W4300796851 hasConcept C79518650 @default.
- W4300796851 hasConcept C86803240 @default.
- W4300796851 hasConcept C93779851 @default.
- W4300796851 hasConceptScore W4300796851C122700484 @default.
- W4300796851 hasConceptScore W4300796851C126322002 @default.
- W4300796851 hasConceptScore W4300796851C127413603 @default.
- W4300796851 hasConceptScore W4300796851C133731056 @default.
- W4300796851 hasConceptScore W4300796851C134306372 @default.
- W4300796851 hasConceptScore W4300796851C151730666 @default.
- W4300796851 hasConceptScore W4300796851C154945302 @default.
- W4300796851 hasConceptScore W4300796851C185263204 @default.
- W4300796851 hasConceptScore W4300796851C186219872 @default.
- W4300796851 hasConceptScore W4300796851C200331156 @default.
- W4300796851 hasConceptScore W4300796851C205606062 @default.
- W4300796851 hasConceptScore W4300796851C2775924081 @default.
- W4300796851 hasConceptScore W4300796851C2776257435 @default.
- W4300796851 hasConceptScore W4300796851C2779343474 @default.
- W4300796851 hasConceptScore W4300796851C28826006 @default.
- W4300796851 hasConceptScore W4300796851C31258907 @default.
- W4300796851 hasConceptScore W4300796851C33923547 @default.
- W4300796851 hasConceptScore W4300796851C34862557 @default.
- W4300796851 hasConceptScore W4300796851C41008148 @default.
- W4300796851 hasConceptScore W4300796851C43012357 @default.
- W4300796851 hasConceptScore W4300796851C47446073 @default.
- W4300796851 hasConceptScore W4300796851C51544822 @default.
- W4300796851 hasConceptScore W4300796851C61381695 @default.
- W4300796851 hasConceptScore W4300796851C65889100 @default.
- W4300796851 hasConceptScore W4300796851C71924100 @default.
- W4300796851 hasConceptScore W4300796851C78045399 @default.
- W4300796851 hasConceptScore W4300796851C79518650 @default.
- W4300796851 hasConceptScore W4300796851C86803240 @default.
- W4300796851 hasConceptScore W4300796851C93779851 @default.
- W4300796851 hasLocation W43007968511 @default.
- W4300796851 hasLocation W43007968512 @default.
- W4300796851 hasLocation W43007968513 @default.
- W4300796851 hasLocation W43007968514 @default.
- W4300796851 hasLocation W43007968515 @default.
- W4300796851 hasLocation W43007968516 @default.
- W4300796851 hasOpenAccess W4300796851 @default.
- W4300796851 hasPrimaryLocation W43007968511 @default.
- W4300796851 hasRelatedWork W2109663055 @default.
- W4300796851 hasRelatedWork W2126324062 @default.
- W4300796851 hasRelatedWork W2611711983 @default.
- W4300796851 hasRelatedWork W2741007943 @default.
- W4300796851 hasRelatedWork W2950616778 @default.
- W4300796851 hasRelatedWork W2950748744 @default.
- W4300796851 hasRelatedWork W3125846522 @default.
- W4300796851 hasRelatedWork W4206891684 @default.
- W4300796851 hasRelatedWork W4299705513 @default.
- W4300796851 hasRelatedWork W656617737 @default.
- W4300796851 isParatext "false" @default.
- W4300796851 isRetracted "false" @default.
- W4300796851 workType "article" @default.