NDLI: odeToJava: A PSE for the Numerical Solution of IVPs

Content Provider	ACM Digital Library
Author	Kroshko, Andrew Spiteri, Raymond J.
Copyright Year	2015
Description	Author Affiliation: University of Saskatchewan, Saskatoon, SK(Spiteri, Raymond J.; Kroshko, Andrew)
Abstract	Problem-solving environments (PSEs) offer a powerful yet flexible and convenient means for general experimentation with computational methods, algorithm prototyping, and visualization and manipulation of data. Consequently, PSEs have become the modus operandi of many computational scientists and engineers. However, despite these positive aspects, PSEs typically do not offer the level of granularity required by the specialist or algorithm designer to conveniently modify the details. In other words, the level at which PSEs are black boxes is often still too high for someone interested in modifying an algorithm as opposed to trying an alternative. In this article, we describe odeToJava, a Java-based PSE for initial-value problems in ordinary differential equations. odeToJava implements explicit and linearly implicit implicit-explicit Runge--Kutta methods with error and stepsize control and intra-step interpolation (dense output), giving the user control and flexibility over the implementational aspects of these methods. We illustrate the usage and functionality of odeToJava by means of computational case studies of initial-value problems (IVPs).
Starting Page	1
Ending Page	33
Page Count	33
File Format	PDF
ISSN	00983500
e-ISSN	15577295
DOI	10.1145/2641563
Volume Number	41
Issue Number	3
Journal	ACM Transactions on Mathematical Software (TOMS)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2015-06-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Adaptive integration Runge--Kutta Störmer--Verlet Additive Runge--Kutta Geometric integration Object-oriented Problem solving environment Software architecture Stepsize-control
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Software

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odeToJava: A PSE for the Numerical Solution of IVPs

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odeToJava: A PSE for the Numerical Solution of IVPs