Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
β 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.
π SIMILAR VOLUMES
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
It is the purpose of this paper to derive two-step hybrid methods for y β²β² = 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
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
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