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

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MOKHTARI P.; MOHAMMAD HOSSEINI S.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2008 | Volume:3 | Issue:1 Page(s): 63-76

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Information Journal Paper

Title

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

Author(s)

MOKHTARI P. | MOHAMMAD HOSSEINI S. | Issue Writer Certificate

Keywords

GENERAL LINEAR METHODS

VARIABLE STEP SIZE

INHERENT RUNGE-KUTTA STABILITY

ERROR ESTIMATION

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.

Cites

DIAGONAL AND MONOMIAL SOLUTIONS OF THE MATRIX EQUATION AX B=C

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APA: Copy

MOKHTARI, P., & MOHAMMAD HOSSEINI, S.. (2008). SOME IMPLEMENTATION ASPECTS OF THE GENERAL LINEAR METHODS WITHINHERENT RUNGE-KUTTA STABILITY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 3(1), 63-76. SID. https://sid.ir/paper/310271/en

Vancouver: Copy

MOKHTARI P., MOHAMMAD HOSSEINI S.. SOME IMPLEMENTATION ASPECTS OF THE GENERAL LINEAR METHODS WITHINHERENT RUNGE-KUTTA STABILITY. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2008;3(1):63-76. Available from: https://sid.ir/paper/310271/en

IEEE: Copy

P. MOKHTARI, and S. MOHAMMAD HOSSEINI, “SOME IMPLEMENTATION ASPECTS OF THE GENERAL LINEAR METHODS WITHINHERENT RUNGE-KUTTA STABILITY,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 3, no. 1, pp. 63–76, 2008, [Online]. Available: https://sid.ir/paper/310271/en

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