On Saulyev's Methods

DAIMI Report Series

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Title On Saulyev's Methods
Creator Østerby, Ole
Description In 1957 V. K. Saulyev proposed two so-called asymmetric methods for solving parabolic equations. We study these methods w.r.t. their stability and consistency, how to include first order derivative terms, how to apply boundary conditions with a derivative, and how to extend the methods to two space dimensions. We also prove that the various modifications proposed by Saulyev, Barakat and Clark, and Larkin also (as was to be expected) require k = o(h) in order to be consistent. As a curiosity we show that the two original Saulyev methods in fact solve two different differential equations.
Publisher Aarhus University
Date 2017-04-01
Type info:eu-repo/semantics/article
Peer-reviewed Article
Format application/pdf
Identifier http://ojs.statsbiblioteket.dk/index.php/daimipb/article/view/26410
Source DAIMI Report Series; No 599 (2017): PB-599 On Saulyev's Methods
DAIMI Report Series; No 599 (2017): PB-599 On Saulyev's Methods
Language eng
Relation http://ojs.statsbiblioteket.dk/index.php/daimipb/article/view/26410/23231
Rights Copyright (c) 2017 DAIMI Report Series

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