A Test Set for stiff Initial Value Problem Solvers in the open source software R: Package deTestSet

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Mazzia, Francesca²  Cash, Jeff R.³  Soetaert, Karline¹ 

[1] Royal Netherlands Inst Sea Res NIOZ, NL-4401 NT Yerseke, Netherlands

[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

[3] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

关键词: Ordinary differential equations;    Differential algebraic equations;    Implicit differential equations;    Initial value problems;    Test problems;    R;   

DOI  :  10.1016/j.cam.2012.03.014

来源: Elsevier

【 摘 要 】

In this paper we present the R package deTestSet that includes challenging test problems written as ordinary differential equations (ODEs), differential algebraic equations (DAEs) of index up to 3 and implicit differential equations (IDES). In addition it includes 6 new codes to solve initial value problems (IVPs). The R package is derived from the Test Set for Initial Value Problem Solvers available at http://www.dm.uniba.it/similar to testset which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran subroutines providing a common interface to the defining problem functions. Many of these facilities are now available in the R package deTestSet, which comprises an R interface to the test problems and to most of the Fortran solvers. The package deTestSet is free software which is distributed under the GNU General Public License, as part of the R open source software project. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free