Note on Filon-type integration for higher order exponential time differencing methods in stiff systems

被引：1

作者：

Xiang, SH ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY | 2005年 / 12卷 / Suppl 1期

关键词：

exponential time differencing method; stiff system; Filon method; Runge-Kutta method;

D O I：

10.1007/s11771-005-0417-y

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

The Filon-type quadrature is efficient for highly oscillatory functions -Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.

引用

页码：298 / 303

页数：6

共 50 条

[1] Note on filon-type integration for higher order exponential time differencing methods in stiff systems
Shu-huang Xiang
Journal of Central South University of Technology, 2005, 12 : 298 - 303
[2] Exponential time differencing for stiff systems
Cox, SM
Matthews, PC
JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 176 (02) : 430 - 455
[3] Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix
Liu, Zhongli
Zhao, Hui
Tian, Hongjiong
APPLIED MATHEMATICS LETTERS, 2023, 139
[4] On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity
Mo, Hongmin
Xiang, Shuhuang
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9105 - 9110
[5] Exponential Time Differencing for Stiff Systems with Nondiagonal Linear Part
Permyakova, E. V.
Goldobin, D. S.
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2020, 61 (07) : 1227 - 1237
[6] Exponential Time Differencing for Stiff Systems with Nondiagonal Linear Part
E. V. Permyakova
D. S. Goldobin
Journal of Applied Mechanics and Technical Physics, 2020, 61 : 1227 - 1237
[7] High-order schemes of exponential time differencing for stiff systems with nondiagonal linear part
Permyakova, Evelina V.
Goldobin, Denis S.
JOURNAL OF COMPUTATIONAL PHYSICS, 2025, 520
[8] Adiabatic Filon-type methods for highly oscillatory second-order ordinary differential equations
Liu, Zhongli
Tian, Hongjiong
You, Xiong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 320 : 1 - 14
[9] Improved Filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales
Wang, Bin
Wu, Xinyuan
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 276 : 62 - 73
[10] Generalized exponential time differencing methods for fractional order problems
Garrappa, Roberto
Popolizio, Marina
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 876 - 890

← 1 2 3 4 5 →