𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators

✍ Scribed by Xiong You; Yonghui Zhang; Jinxi Zhao


Book ID
108107709
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
447 KB
Volume
182
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A robust trigonometrically fitted embedd
✍ Yonglei Fang; Yongzhong Song; Xinyuan Wu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 774 KB

A new kind of trigonometrically fitted embedded pair of explicit ARKN methods for the numerical integration of perturbed oscillators is presented in this paper. This new pair is based on the trigonometrically fitted ARKN method of order five derived by Yang and Wu in [H.L. Yang, X.Y. Wu, Trigonometr

Exponentially fitted two-step hybrid met
✍ R. D’Ambrosio; E. Esposito; B. Paternoster πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 373 KB

It is the purpose of this paper to derive two-step hybrid methods for y β€²β€² = f (x, y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is

Phase-fitted and amplification-fitted tw
✍ Hans Van de Vyver πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 814 KB

This paper provides a theoretical framework for a new type of phase-fitted and amplification-fitted two-step hybrid (FTSH) methods which is introduced by the author in [H. Van de Vyver, A phase-fitted and amplification-fitted explicit two-step hybrid method for second-order periodic initial value pr

Dissipative trigonometrically-fitted met
✍ T.E Simos πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 399 KB

A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed in this paper. This method is based on a dissipative explicit two-step method developed recently by Tsitouras [1]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one t