On Saulyev's Methods

DAIMI Report Series

View Publication Info
 
 
Field Value
 
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
 
Contributor
 
Date 2017-04-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://ojs.statsbiblioteket.dk/index.php/daimipb/article/view/26410
10.7146/dpb.v43i599.26410
 
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
2245-9316
0105-8517
 
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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