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Title: Εxplicit eighth order numerov-type methods with reduced number of stages for oscillatory IVPs
Authors: Φαμέλης, Ιωάννης Θ.
Item type: Journal article
Keywords: Initial value problem;Second order;Αρχική τιμή;Δεύτερη τάξη
Subjects: Physics
Mathematical physics
Μαθηματική φυσική
Issue Date: 14-Feb-2015
Publisher: World Scienti c Publishing Company
Abstract: Using a new methodology for deriving hybrid Numerov-type schemes, we present new explicit methods for the solution of second order initial value problems with oscillating solutions. The new methods attain algebraic order eight at a cost of eight function evalu- ations per step which is the most economical in computational cost that can be found in the literature. The methods have high ampli cation and phase-lag order characteristics in order to suit to the solution of problems with oscillatory solutions. The numerical tests in a variety of problems justify our e ort.
Language: English
Citation: Famelis, I. (June 2008). Εxplicit eighth order numerov-type methods with reduced number of stages for oscillatory IVPs. International Journal of Modern Physics C. 19(6). pp. 957-970. World Scientific Publishing Company: 2008.
Journal: International Journal of Modern Physics C
Type of Journal: With a review process (peer review)
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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