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Adapted BDF algorithms applied to parabolic problems
Author(s) -
VigoAguiar J.,
MartínVaquero J.,
Wade B. A.
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20180
Subject(s) - mathematics , stability (learning theory) , parabolic partial differential equation , zero (linguistics) , order (exchange) , partial differential equation , algorithm , type (biology) , partial derivative , mathematical analysis , computer science , ecology , biology , linguistics , philosophy , finance , machine learning , economics
In this article we study the application of the adaptive BDF type formulas to parabolic problems that appear in Vigo‐Aguiar et al. J Comput Appl Math 175(i1) (2004), 183–194. We discuss the properties of zero and absolute stability of high order methods. Theoretical and computational error analysis show good behavior of the new higher order methods applied to parabolic problems. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 350–365, 2007