Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems
By a News Reporter-Staff News Editor at Journal of Mathematics -- Investigators discuss new findings in Algorithms. According to news reporting out of Jiangsu, People’s Republic of China, by VerticalNews editors, research stated, “In this paper, we study in detail the phase properties and stability of numerical methods for general oscillatory second-order initial value problems whose right-hand side functions depend on both the position y and velocity y (‘). In order to analyze comprehensively the numerical stability of integrators for oscillatory systems, we introduce a novel linear test model y “(t) + omega(2)y(t) + mu y ‘(t)=0 with mu < 2 omega.”
Financial supporters for this research include Natural Science Foundation of Jiangsu Province (CN), Natural Science Foundation of China, Natural Science Foundation of the Jiangsu Higher Education Institutions of China.
Our news journalists obtained a quote from the research from Nanjing University, “Based on the new model, further discussions and analysis on the phase properties and stability of numerical methods are presented for general oscillatory problems. We give the new definitions of dispersion and dissipation which can be viewed as an essential extension of the traditional ones based on the linear test model y “(t) + omega(2)y(t)=0.”
According to the news editors, the research concluded: “The numerical experiments are carried out, and the numerical results showthatthe analysisofphase properties and stability presentedinthispaper ismoresuitableforthenumericalmethodswhentheyareappliedtothe generaloscillatory second-order initial value problem involving both the position and velocity.”
For more information on this research see: Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems. Numerical Algorithms , 2018;77(1):37-56. Numerical Algorithms can be contacted at: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands. (Springer - www.springer.com; Numerical Algorithms - http://www.springerlink.com/content/1017-1398/)
Our news journalists report that additional information may be obtained by contacting K. Liu, Nanjing Univ Finance & Econ, Coll Appl Math, Nanjing, Jiangsu, People’s Republic of China. Additional authors for this research include X.Y. Wu and W. Shi.
The direct object identifier (DOI) for that additional information is: https://doi.org/10.1007/s11075-017-0303-3. This DOI is a link to an online electronic document that is either free or for purchase, and can be your direct source for a journal article and its citation.
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CITATION: (2018-01-23), New Algorithms Study Findings Have Been Reported by Investigators at Nanjing University (Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems), Journal of Mathematics, 375, ISSN: 1945-8746, BUTTER® ID: 015048385
From the newsletter Journal of Mathematics.
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