In this paper, we consider some aspects of the numerical analysis mathematical model fractional Duffing with a derivative variable order Riemann-Liouville type. Using methods: an explicit finite-difference scheme based on Grunwald-Letnikov and Adams-Bashford-Moulton approximations (predictor-corrector), proposed is found. These methods have been verified test case. It shown that predictor-corre...

We use the Wong–Zakai approximation as an intermediate step to derive numerical schemes for stochastic delay differential equations. By approximating the Brownian motion with its truncated spectral expansion and then using different discretizations in time, we present three schemes: a predictor-corrector scheme, a midpoint scheme, and a Milstein-like scheme. We prove that the predictor-correcto...

We study the local convergence of a predictor-corrector algorithm for semideenite programming problems based on the Monteiro-Zhang uniied direction whose polynomial convergence was recently established by Monteiro. We prove that the suucient condition for superlinear convergence of Potra and Sheng applies to this algorithm and is independent of the scaling matrices. Under strict complementarity...

Abstract Predictor–corrector schemes are designed to be a compromise retain the stability properties of implicit and computational efficiency explicit ones. In this paper complete analytical study for linear mean-square two-parameter family Euler predictor–corrector scalar stochastic differential equations is given. The analyzed given in terms two parameters that control degree implicitness met...

In the previous championship CBP-4, the winner of the unlimited storage track [5], poTAGE-SC was combining several TAGE based predictors using different forms of histories (local, global, and frequency), a COLT inspired [3] prediction combiner and a statistical corrector (SC) predictor [8, 10] fed with various forms of branch histories. With MTAGE-SC, we improve this predictor in two ways. Firs...

We present a generalization of the finite volume evolution Galerkin scheme [17, 18] for hyperbolic systems with spatially varying flux functions. Our goal is to develop a genuinely multi-dimensional numerical scheme for wave propagation problems in a heterogeneous media. We illustrate our methodology for acoustic waves in a heterogeneous medium but the results can be generalized to more complex...

We present a new three-dimensional numerical model for the simulation of breaking waves. In proposed model, integral contravariant form Navier-Stokes equations is expressed in curvilinear moving coordinate system and are integrated by predictor-corrector method. predictor step method, motion discretized shock-capturing scheme that based on an original highorder reconstruction point values conse...