Monotone Finite Volume Schemes for Diffusion Equation with Imperfect Interface on Distorted Meshes |
| |
Authors: | Fujun?Cao Zhiqiang?Sheng Email author" target="_blank">Guangwei?YuanEmail author |
| |
Affiliation: | 1.Vakgroep Informatietechnologie,Universiteit Gent,Gent,Belgium;2.IUMA - Departamento Matemática Aplicada,Universidad de Zaragoza,Zaragoza,Spain;3.Vakgroep Toegepaste Wiskunde, Informatica en Statistiek,Universiteit Gent,Gent,Belgium |
| |
Abstract: | In this paper we consider the numerical solution of stiff problems in which the eigenvalues are separated into two clusters, one containing the “stiff”, or fast, components and one containing the slow components, that is, there is a gap in their eigenvalue spectrum. By using exponential fitting techniques we develop a class of explicit Runge–Kutta methods, that we call stability fitted methods, for which the stability domain has two regions, one close to the origin and the other one fitting the large eigenvalues. We obtain the size of their stability regions as a function of the order and the fitting conditions. We also obtain conditions that the coefficients of these methods must satisfy to have a given stiff order for the Prothero–Robinson test equation. Finally, we construct an embedded pair of stability fitted methods of orders 2 and 1 and show its performance by means of several numerical experiments. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|