Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384927197> ?p ?o ?g. }
- W4384927197 endingPage "115459" @default.
- W4384927197 startingPage "115459" @default.
- W4384927197 abstract "We consider strong convergence of numerical approximations for a stochastic strongly damped wave equation driven by a class of additive space–time noises characterized by a parameter β∈(−1,2]. With the help of the Wong–Zakai (WZ) approximation to the noise, i.e., replacing the driven noise with its finite spectral expansion truncation, we obtain an approximate equation. Based on the consistency and high regularity of the approximate equation, we develop two exponential integrators for time-stepping discretization and use the spectral Galerkin method in space to develop full-discrete schemes. Performing error estimates in the strong sense, we show that the optimal strong order in time of the proposed WZ-approximation-based exponential Euler scheme is min{1,1+β/2−ϵ}, which is |β|/2 order higher than the order of min{1,1+β} in the existing works when β∈(−1,0). Moreover, we prove that the proposed WZ-approximation-based exponential trapezoidal scheme is of min{3/2,1+β/2−ϵ}-order strong convergence in time when β∈[−1/4,2], so it can break the first order barrier and obtain a higher accurate numerical solution. Numerical examples are performed to verify and develop the theoretical findings." @default.
- W4384927197 created "2023-07-22" @default.
- W4384927197 creator A5022930741 @default.
- W4384927197 creator A5088266796 @default.
- W4384927197 date "2024-02-01" @default.
- W4384927197 modified "2023-09-29" @default.
- W4384927197 title "Exponential integrator for stochastic strongly damped wave equation based on the Wong–Zakai approximation" @default.
- W4384927197 cites W1963823462 @default.
- W4384927197 cites W1968926746 @default.
- W4384927197 cites W1970790088 @default.
- W4384927197 cites W1975589852 @default.
- W4384927197 cites W1986101505 @default.
- W4384927197 cites W2003825489 @default.
- W4384927197 cites W2005061077 @default.
- W4384927197 cites W2014652601 @default.
- W4384927197 cites W2035803586 @default.
- W4384927197 cites W2045411066 @default.
- W4384927197 cites W2054622603 @default.
- W4384927197 cites W2055460625 @default.
- W4384927197 cites W2066335031 @default.
- W4384927197 cites W2068486809 @default.
- W4384927197 cites W2068988900 @default.
- W4384927197 cites W2077802959 @default.
- W4384927197 cites W2088464955 @default.
- W4384927197 cites W2093595626 @default.
- W4384927197 cites W2104642800 @default.
- W4384927197 cites W2144189745 @default.
- W4384927197 cites W2150222152 @default.
- W4384927197 cites W2222195018 @default.
- W4384927197 cites W2283457204 @default.
- W4384927197 cites W2292453282 @default.
- W4384927197 cites W2308982285 @default.
- W4384927197 cites W2326247099 @default.
- W4384927197 cites W2579424276 @default.
- W4384927197 cites W3017076626 @default.
- W4384927197 cites W3021828133 @default.
- W4384927197 cites W3213457333 @default.
- W4384927197 cites W3214449759 @default.
- W4384927197 cites W4224066643 @default.
- W4384927197 cites W4306804756 @default.
- W4384927197 cites W4382561545 @default.
- W4384927197 doi "https://doi.org/10.1016/j.cam.2023.115459" @default.
- W4384927197 hasPublicationYear "2024" @default.
- W4384927197 type Work @default.
- W4384927197 citedByCount "0" @default.
- W4384927197 crossrefType "journal-article" @default.
- W4384927197 hasAuthorship W4384927197A5022930741 @default.
- W4384927197 hasAuthorship W4384927197A5088266796 @default.
- W4384927197 hasConcept C104942944 @default.
- W4384927197 hasConcept C122383733 @default.
- W4384927197 hasConcept C122700484 @default.
- W4384927197 hasConcept C134306372 @default.
- W4384927197 hasConcept C151376022 @default.
- W4384927197 hasConcept C162324750 @default.
- W4384927197 hasConcept C176321772 @default.
- W4384927197 hasConcept C186219872 @default.
- W4384927197 hasConcept C2776257435 @default.
- W4384927197 hasConcept C2777303404 @default.
- W4384927197 hasConcept C28826006 @default.
- W4384927197 hasConcept C31258907 @default.
- W4384927197 hasConcept C33923547 @default.
- W4384927197 hasConcept C39177556 @default.
- W4384927197 hasConcept C41008148 @default.
- W4384927197 hasConcept C48753275 @default.
- W4384927197 hasConcept C50522688 @default.
- W4384927197 hasConcept C51544822 @default.
- W4384927197 hasConcept C73000952 @default.
- W4384927197 hasConcept C78045399 @default.
- W4384927197 hasConcept C79518650 @default.
- W4384927197 hasConceptScore W4384927197C104942944 @default.
- W4384927197 hasConceptScore W4384927197C122383733 @default.
- W4384927197 hasConceptScore W4384927197C122700484 @default.
- W4384927197 hasConceptScore W4384927197C134306372 @default.
- W4384927197 hasConceptScore W4384927197C151376022 @default.
- W4384927197 hasConceptScore W4384927197C162324750 @default.
- W4384927197 hasConceptScore W4384927197C176321772 @default.
- W4384927197 hasConceptScore W4384927197C186219872 @default.
- W4384927197 hasConceptScore W4384927197C2776257435 @default.
- W4384927197 hasConceptScore W4384927197C2777303404 @default.
- W4384927197 hasConceptScore W4384927197C28826006 @default.
- W4384927197 hasConceptScore W4384927197C31258907 @default.
- W4384927197 hasConceptScore W4384927197C33923547 @default.
- W4384927197 hasConceptScore W4384927197C39177556 @default.
- W4384927197 hasConceptScore W4384927197C41008148 @default.
- W4384927197 hasConceptScore W4384927197C48753275 @default.
- W4384927197 hasConceptScore W4384927197C50522688 @default.
- W4384927197 hasConceptScore W4384927197C51544822 @default.
- W4384927197 hasConceptScore W4384927197C73000952 @default.
- W4384927197 hasConceptScore W4384927197C78045399 @default.
- W4384927197 hasConceptScore W4384927197C79518650 @default.
- W4384927197 hasLocation W43849271971 @default.
- W4384927197 hasOpenAccess W4384927197 @default.
- W4384927197 hasPrimaryLocation W43849271971 @default.
- W4384927197 hasRelatedWork W1595311890 @default.
- W4384927197 hasRelatedWork W1843168252 @default.
- W4384927197 hasRelatedWork W1972221693 @default.
- W4384927197 hasRelatedWork W2082186803 @default.
- W4384927197 hasRelatedWork W2126324062 @default.