Open AccessTHE MAXIMUM PRINCIPLE AND ITS APPLICATION FOR THE ANALYSIS OF DIFFERENCE SCHEMES
Author(s) -
A. P. Matus,
П. П. Матус
Publication year - 2001
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2001.9637168
Subject(s) - mathematics , monotone polygon , stability (learning theory) , maximum principle , banach space , principal (computer security) , base (topology) , mathematical analysis , pure mathematics , mathematical optimization , computer science , geometry , machine learning , optimal control , operating system
The subject of this paper is the maximum principle and its application for the analysis difference schemes. To some extent, it is a survey on construction and investigation of some new classes of monotone difference schemes. The established maximum principle for derivatives has a principal meaning. The coefficient stability of difference schemes in Banach spaces is proved on the base of this principle. New results on unconditional stability of difference schemes with weights, conservative explicit‐implicit schemes (staggered schemes) are given.