Dissipative and Dispersive Properties of Finite Difference Schemes for the Linear Transport Equation on A 4 × 3 Metatemplate.

Autor: Goloviznin, V. M., Solovjev, A. V.
Zdroj: Mathematical Models & Computer Simulations; Feb2022, Vol. 14 Issue 1, p28-37, 10p
Abstrakt: This article is devoted to the presentation of a new information resource on the Internet: a knowledge base on the dissipative and dispersive properties of difference schemes for the simplest linear transport equation, covering 2113 schemes from the first order of approximation to the tenth, which can be obtained on a computational template of four calculated nodes on three layers by time. An information array containing information on all these schemes is posted on the website of the Laboratory of Industrial Mathematics, Faculty of Computational Mathematics and Cybernetics, Moscow State University at http://lim.cmc.msu.ru/index.php?id=86. The information sheet of the difference scheme contains the coefficients of the characteristic equations, the stability region, and dissipative and dispersive surfaces. The friendly graphical user interface allows interactively searching for the information using computational templates. As an example, the dissipative and dispersive surfaces of some schemes with different orders of approximation are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index