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2013 General Formulation of Second-Order Semi-Lagrangian Methods for Convection-Diffusion Problems
Xiaohan Long, Chuanjun Chen
Abstr. Appl. Anal. 2013(SI17): 1-10 (2013). DOI: 10.1155/2013/763630


The general formulation of the second-order semi-Lagrangian methods was presented for convection-dominated diffusion problems. In view of the method of lines, this formulation is in a sufficiently general fashion as to include two-step backward difference formula and Crank-Nicolson type semi-Lagrangian schemes as particular ones. And it is easy to be extended to higher-order schemes. We show that it maintains second-order accuracy even if the involved numerical characteristic lines are first-order accurate. The relationship between semi-Lagrangian methods and the modified method of characteristic is also addressed. Finally convergence properties of the semi-Lagrangian finite difference schemes are tested.


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Xiaohan Long. Chuanjun Chen. "General Formulation of Second-Order Semi-Lagrangian Methods for Convection-Diffusion Problems." Abstr. Appl. Anal. 2013 (SI17) 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1266.65156
MathSciNet: MR3034879
Digital Object Identifier: 10.1155/2013/763630

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI17 • 2013
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