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

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

下载PDF

导出

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.

作者 XIANG Shu-huang

机构地区 School of Mathematical Science and Computing Technology

出处《Journal of Central South University of Technology》 2005年第z1期298-303,共6页 中南工业大学学报（英文版）

基金 Projects(02JJY2006, 03JJY2001) supported by Natural Science Foundation of Hunan Province project supported by JSPS Fellowship Research Program

关键词 EXPONENTIAL time differencing METHOD STIFF system Filon METHOD RUNGE-KUTTA METHOD

分类号 O241.8 [理学—计算数学]

引文网络
相关文献

参考文献10

1[1]Beylkin G,Keiser J M.On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases[J].J Comput Phys,1997,132:233-259.
2[2]Beylkin G,Keiser J M,Vozovoi L.A new class of time discretization schemes for the solution of nonlinear PDES[J].J Comput Phys,1998,147:362-387.
3[3]Cox S M,Matthews P C.Exponential time differencing for stiff systems[J].J Comput Phys,1997,132:430-455.
4[4]Holland R.Finite-difference time-domain (FDTD) analysis of magnetic diffusion[J].IEEE Trans Electromagn Compat,1994,36:32-39.
5[5]Petropoulos P G.Analysis of exponential time-differencing for FDTD in lossy di-electrics[J].IEEE Trans Antennas Propagation,1997,45:1054-1057.
6[6]Schuster C,Christ A,Fichtner W.Review of FDTDtime-stepping for efficient simulation of electric conductive media[J].Microwave Opticalogy Technology Letter,2000,25:16-21.
7[7]Filon L N G.On a quadrature formula for trigonometric integrals[J].Proc Royal SocEdinburgh,1928,49:38-47.
8[8]Iserles A.On the numerical quadrature of highly-oscillating integrals I:Fourier transforms[J].IMA J Num Anal,2004,24:365-391.
9[9]Iserles A.On the numerical quadrature of highly-oscillating integrals Ⅱ:Irregularoscillators[J].IMA J Num Anal,2005,25:25-44.
10[10]Norsett S P.An A-stable modification of the AdamsBashforth methods[J].Lecture Notes in Mathematics,1969,109:214-219.

1佟丽丽,李红艳.配置方法求解高振荡傅里叶核的Volterra积分方程[J].数学理论与应用,2010,30(2):57-60.
2李松华,刘佳倩,肖高玉.一类具有对数奇异的高振荡积分的高性能计算[J].湖南理工学院学报（自然科学版）,2016,29(1):4-8.
3李松华,郭涛,符江鹏.一类高振荡积分的快速数值方法[J].湖南理工学院学报（自然科学版）,2013,26(1):18-21. 被引量：2
4TANGChen YANHai-Qing ZHANGHao LIWen-Run LIUMing ZHANGGui-Min.New Predictor-Corrector Methods Based on Exponential Time Differencing forSystems of Nonlinear Differential Equations[J].Communications in Theoretical Physics,2004,41(2):219-224. 被引量：1
5FANG JiangXue Chern Institute of Mathematics, Nankai University, Tianjin 300071, China.Calculation of local Fourier transforms for formal connections[J].Science China Mathematics,2009,52(10):2195-2206.
6张增产,沈孟育.Modified Non-oscillatory Central Difference Scheme for Conservation Laws[J].Tsinghua Science and Technology,2000,5(1):39-42.
7QiangDu Wen-xiangZhu.STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES[J].Journal of Computational Mathematics,2004,22(2):200-209. 被引量：1
8魏赟.分数阶超混沌Lorenz系统及同步研究[J].太原科技大学学报,2010,31(1):72-75. 被引量：2
9Zhang Lin-bo(Computing Centen Academia Sinica, Beijing, China).BOX-LINE RELAXATION SCHEMES FOR SOLVING THE STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING SECOND-ORDER UPWIND DIFFERENCING[J].Journal of Computational Mathematics,1995,13(1):32-39.
10Li-rong Chen,De-gui Liu.PARALLEL COMPOUND METHODS FOR SOLVING PARTITIONED STIFF SYSTEMS[J].Journal of Computational Mathematics,2001,19(6):639-650.

Journal of Central South University of Technology

2005年第z1期

浏览历史

内容加载中请稍等...

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

参考文献10

相关作者

相关机构

相关主题

浏览历史