Dimension Polynomials and the Einstein’s Strength of Some Systems of Quasi-linear Algebraic Difference Equations
| Autor: | Alexander Evgrafov, Alexander Levin |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
12H10 Applied Mathematics 010102 general mathematics Inversive 010103 numerical & computational mathematics Mathematics - Commutative Algebra Commutative Algebra (math.AC) 16. Peace & justice 01 natural sciences Computational Mathematics symbols.namesake Computational Theory and Mathematics Difference polynomials Dimension (vector space) FOS: Mathematics symbols Quasi linear Point (geometry) 0101 mathematics Algebraic number Einstein Mathematics |
| Zdroj: | Mathematics in Computer Science. 14:347-360 |
| ISSN: | 1661-8289 1661-8270 |
| DOI: | 10.1007/s11786-019-00430-7 |
| Popis: | 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. Comment: 17 pages. arXiv admin note: substantial text overlap with arXiv:1803.03830 |
| Databáze: | OpenAIRE |
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