The important task of evaluating the impact of random parameters on the output of stochastic ordinary differential equations (SODE) can be computationally very demanding, in particular for problems with a high-dimensional parameter space. In this work we consider this problem in some detail and demonstrate that by combining several techniques one can dramatically reduce the overall cost without...

Social DevelopmentVolume 31, Issue 4 p. 931-932 ISSUE INFORMATIONFree Access Development First published: 20 October 2022 https://doi.org/10.1111/sode.12540AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text full-text accessPlease review our Terms and Conditions of Use check box below share version article.I have read accept the Wi...

A 9-year old prepubertal girl, gave a history of peri­ odic changes in behaviour of 16 months' duration. The parents described the changes in behaviour as follows. She becomes less communicative and less interactive with others and clinging to the mother. Vomiting or retching, poor food intake, disturbed sleep pattern, and sometimes feelings of fearfulness were other features. She was unable to...

In the present work, a new approximated method for solving nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. The approximate solution of this introduced with two separate techniques. First, we convert D-VdP to Volterra integral second kind (VIESK) using integration, and then, it hybrid Legendre polynomials block-pulse function (HLBPFs). next technique into system ordinary ...

To fulfill two integral aims of abating cellular traffic and enhancing efficiency network, D2D is considered as a novel channel communication. This form communication has introduced for 4th enacts significant role in the 5th generation. Four scenarios defined references, includes direct relaying both with without infrastructure. One major challenges addressing protocols contributes to fact that...

intervention, or monitoring.3 After resolution of an episode of diverticulitis, the standard of care is to perform a colonoscopy to exclude diagnoses that mimic diverticulitis—notably, colorectal cancer. This recommendation arose during a time when the diagnosis rested on clinical suspicion and radio­ graphic imaging with barium.4 Computed tomog­ raphy, with a substantially higher sensitivity t...

In many modelling situations in which parameter values can only be estimated or are subject to noise, the appropriate mathematical representation is a stochastic ordinary diierential equation (SODE). However, unlike the de-terministic case in which there are suites of sophisticated numerical methods, numerical methods for SODEs are much less sophisticated. Until a recent paper by Burrage and Bu...

A new algorithm for simulating stochastic partial differential equations (SPDEs) of evolutionary type, which is in some sense an infinite dimensional analog of Milstein’s scheme for finite dimensional stochastic ordinary differential equations (SODEs), is introduced and analyzed in this article. The Milstein scheme is known to be impressively efficient for scalar one-dimensional SODEs but only ...

In this work, we develop a minimum action method (MAM) with optimal linear time scaling, called tMAM for short. The main idea is to relax the integration time as a functional of the transition path through optimal linear time scaling such that a direct optimization of the integration time is not required. The Feidlin-Wentzell action functional is discretized by finite elements, based on which h...