Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems

详细信息    查看全文

• 作者：Yonglei Fang^a ; ^{ylfangmath@163.com} ; Yanping Yang^a ; ^{ypyang0703@163.com} ; Xiong You^b ; ^{youx@njau.edu.cn}
• 关键词：Two-step hybrid method ; Equation dependent coefficient ; Phase-lag ; Highly oscillatory problems
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：266-278
• 全文大小：1148 K
• 卷排序：318

文摘

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.