arXiv subjects

Alexander Evgrafov

Publications and source records attributed to Alexander Evgrafov.

2 recordsLinked to original sources

arXiv2019

Dimension Polynomials and the Einstein's Strength of Some Systems of Quasi-linear Algebraic Difference Equations

In this paper we present a method of characteristic sets for inversive difference polynomials and apply it to the analysis of systems of quasi-linear algebraic difference equations. We describe characteristic sets and compute difference dimension polynomials associated with some such systems. Then we apply our results to the comparative analysis of difference schemes for some PDEs from the point of view of their Einstein's strength. In particular, we determine the Einstein's strength of standard finite-difference schemes for the Murray, Burgers and some other reaction-diffusion equations.

math.AC↗

arXiv2018

Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations

In this paper we present a difference algebraic technique for the evaluation of the Einstein's strength of a system of partial difference equations and apply this technique to the comparative analysis of difference schemes for chemical reaction-diffusion equations. In particular, we analyze finite-difference schemes for the Murray, Fisher, Burgers and some other reaction-diffusion equations, as well as mass balance PDEs of chromatography from the point of view of their strength.

math.AP↗