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Some linear algebra issues concerning the implementation of blended implicit methods
Author(s) -
Brugnano Luigi,
Magherini Cecilia
Publication year - 2004
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.417
Subject(s) - mathematics , linear algebra , jacobian matrix and determinant , algebra over a field , numerical analysis , numerical linear algebra , factorization , ode , calculus (dental) , pure mathematics , algorithm , mathematical analysis , medicine , geometry , dentistry
In this paper we discuss some linear algebra issues concerning the implementation of blended implicit methods ( J. Comput. Appl. Math. 2000; 116 :41–62, Appl. Numer. Math. 2002; 42 :29–45, J. Comput. Appl. Math. 2004; 164–165 :145–158, In Recent Trends in Numerical Analysis, Trigiante D (ed.), Nova Science Publication Inc.: New York, 2001; 81–105) for the numerical solution of ODEs. In particular, we describe the strategies, used in the numerical code BiM ( J. Comput. Appl. Math. 2004; 164–165 :145–158), for deciding whether re‐evaluating the Jacobian and/or the factorization involved in the non‐linear splitting for solving the discrete problem. Copyright © 2004 John Wiley & Sons, Ltd.
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