In this paper, we are concerned with the derivation of a local error representation for exponential operator splitting methods when applied to evolutionary problems that involve critical parameters. Employing an abstract formulation of differential equations on function spaces, our framework includes Schrödinger equations in the semi-classical regime as well as parabolic initial-boundary value ...

1. Ager, A. & Strang, (2008). Understanding Integration: A Conceptual Framework. Journal of Refugee Studies, 21(2), 166–191. https://doi.org/10.1093/jrs/fe... Anatolie, C. (2018). Measuring integration in new countries immigration. Social Change Review, 16(1–2), 93–121. DOI: 10.2478/scr-2018-0003. CrossRef Google Scholar

In this article, we prove the convergence of a splitting scheme of high order for a reaction-diffusion system of the form ut −M∆u + F (u) = 0 where M is an m × m matrix whose spectrum is included in {Rz > 0}. This scheme is obtained by applying a Richardson extrapolation to a Strang formula.

<p style='text-indent:20px;'>The Lohe sphere model and the matrix are prototype continuous aggregation models on unit unitary group, respectively. These have been extensively investigated in recent literature. In this paper, we propose several discrete counterparts for type study their emergent behaviors using Lyapunov function method. For suitable discretization of model, employ a scheme...

Abstract Reacting astrophysical flows can be challenging to model, because of the difficulty in accurately coupling hydrodynamics and reactions. This particularly acute during explosive burning or at high temperatures where nuclear statistical equilibrium is established. We develop a new approach, based on ideas spectral deferred corrections (SDC) explicit stiff reaction sources as an alternati...

Zusammenfassung Im Einleitungskapitel werden Hintergrund und Problemstellung der Studie vorgestellt sowie das zugrundeliegende Verständnis zentralen Begriffe ländliche Räume, Entwicklung, Migration Integration erläutert. Weiterhin die zentrale konzeptionelle Rahmung nach Ager Strang (2008), deren Erweiterung multiperspektivische Umsetzung des vielschichtigen Konzepts in Projektarchitektur Ein Ü...

This note is intended to summarize the definition, properties, interpretation and applications of Singular Value Decomposition (SVD) described by Strang [?], Shilov [?], Johnson and Wichern [?] and Will [?]. 1 Definition Singular Value Decomposition (SVD) technique decomposes a m × n matrix A into the following factored form :

In this paper, we propose a new conservative hybrid finite element-finite difference method for the Vlasov equation. The proposed methodology uses Strang splitting to decouple the nonlinear high dimensional Vlasov equation into two lower dimensional equations, which describe spatial advection and velocity acceleration/deceleration processes respectively. We then propose to use a semi-Lagrangian...