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Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems.
- Source :
-
Journal of Computational & Applied Mathematics . Jul2017, Vol. 318, p266-278. 13p. - Publication Year :
- 2017
-
Abstract
- For the numerical integration of highly oscillatory problems, revised trigonometrically fitted two-step hybrid methods (RTFTSH) with equation dependent coefficients are considered. The local truncation errors, stability and phase properties of the new method are analyzed. A feature of the new type of the methods is that the errors in the internal stages are assumed to contribute to the accuracy of the update. A new revised method RTFTSH4 of algebraic order four and phase-lag order four is derived. Numerical experiments are reported to show that the new method RTFTSH4 is much more efficient and robust than the standard fourth order method STFTSH4. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 318
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 121005120
- Full Text :
- https://doi.org/10.1016/j.cam.2016.09.016