WebDec 1, 2024 · This paper presents a high order fast explicit method based on operator splitting and spectral deferred correction (SDC) for solving the nonlocal VCH equation. We start with a second-order operator splitting spectral scheme, which is based on the Fourier spectral method and the strong stability preserving Runge-Kutta (SSP-RK) method. WebNov 18, 2024 · Seydaoğlu et al. ( 2016) obtained the numerical solutions of Burgers’ equation using high-order splitting methods combined with spectral methods, finite difference, and Weighted Essentially Nonoscillatory (WENO) schemes.
A numerical study of adaptive space and time discretisations for …
WebDec 1, 1991 · High-order splitting/spectral element methods combine accuracy in space and time, and flexibility in geometry, and thus can be very efficient in direct simulations of … WebMay 25, 2024 · Operator splitting is a powerful method for numerical investigation of complex models. The basic idea of the operator splitting methods based on splitting of complex problem into a sequence of simpler tasks, called split sub-problems. The sub operators are usually chosen with regard to different physical process. crown academy broom quest 2021
A Multilevel Stochastic Collocation Method for ... - ResearchGate
WebHIGH ORDER SPLITTING METHODS FOR SDES SATISFYING A COMMUTATIVITY CONDITION JAMES FOSTER y, GONC˘ALO DOS REIS z, AND CALUM STRANGE x Abstract. … WebOct 31, 2024 · High order splitting methods for SDEs satisfying a commutativity condition. In this paper, we introduce a new simple approach to developing and establishing the … WebThe split exponential method of solving coupled linear Schrodinger equations (LSBs) has been very valuable in order to treat time-dependent excitation of quantum systems. Thus, ... highly accurate solutions of systems of LSES can be obtained by using high-order split exponential methods [16,17]. Such exponential splitting methods go back to ... crown above crib