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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)   MAY 2008 , Volume 3 , Number 1; Page(s) 63 To 76.
 
Paper: 

SOME IMPLEMENTATION ASPECTS OF THE GENERAL LINEAR METHODS WITHINHERENT RUNGE-KUTTA STABILITY

 
 
Author(s):  MOKHTARI P., MOHAMMAD HOSSEINI S.*
 
* DEPARTMENT OF MATHEMATICS, TARBIAT MODARES UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN
 
Abstract: 

In this paper we try to put different practical aspects of the general linear methods discussed in the papers [1,6,7] under one algorithm to show more details of its implementation. With a proposed initial step size strategy this algorithm shows a better performance in some problems. To illustrate the efficiency of the method we consider some standard test problems and report more useful details of step size and order changes, and number of rejected and accepted steps along with relative global errors.

 
Keyword(s): GENERAL LINEAR METHODS, VARIABLE STEP SIZE, INHERENT RUNGE-KUTTA STABILITY, ERROR ESTIMATION
 
References: 
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