Symplectic partitioned Runge-Kutta methods with the phase-lag property

被引：4
|
作者：
Monovasilis, Th [1 ]
机构：
[1] Technol Educ Inst Western Macedonia Kastoria, Dept Int Trade, GR-52100 Kastoria, Greece
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期
关键词：
Partitioned-Runge-Kutta methods; Symplecticness; Minimum phase-lag; Phase-fitting; Schrodinger equation; Hamiltonian problems; TRIGONOMETRICALLY-FITTED METHODS; NUMERICAL-SOLUTION; ORDER; INTEGRATION; SCHEME; IVPS;
D O I：
10.1016/j.amc.2012.02.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work specially tuned symplectic partitioned Runge-Kutta (SPRK) methods with minimum phase-lag and phase fitted have been considered. The general framework for constructing SPRK methods with minimum phase-lag is given. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：9075 / 9084
页数：10
相关论文
共 50 条
  • [11] Symplectic Partitioned Runge-Kutta And Symplectic Runge-Kutta Methods Generated By 2-Stage RadauIA Method
    Tan, Jiabo
    ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2, 2014, 444-445 : 633 - 636
  • [12] Symplectic Partitioned Runge-Kutta And Symplectic Runge-Kutta Methods Generated By 2-Stage LobattoIIIA Method
    Tan, Jiabo
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014), 2014, : 1069 - 1073
  • [13] TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE-KUTTA METHODS
    Monovasilis, Th.
    Kalogiratou, Z.
    Simos, T. E.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2011, 22 (12): : 1343 - 1355
  • [14] Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
    Jay, L
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (01) : 368 - 387
  • [15] Application of symplectic partitioned Runge-Kutta methods to Hamiltonian problems
    Monovasilis, Th.
    Kalogiratou, Z.
    Simos, T. E.
    ADVANCES IN COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2005, VOLS 4 A & 4 B, 2005, 4A-4B : 417 - 420
  • [16] A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods
    Monovasilis, Th.
    Kalogiratou, Z.
    Simos, T. E.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (01) : 91 - 96
  • [17] Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage
    Tang, Wensheng
    Lang, Guangming
    Luo, Xuqiong
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 279 - 287
  • [18] Symplectic partitioned Runge-Kutta methods for constrained hamiltonian systems
    SIAM J Numer Anal, 1 (368):
  • [19] Symplectic Runge-Kutta-Nystrom Methods with Phase-Lag Order Six and Infinity
    Kalogiratou, Z.
    Monovasilis, Th.
    Simos, T. E.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 694 - +
  • [20] Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods Derived by Partitioned Runge-Kutta Methods
    Monovasilis, Th.
    Kalogiratou, Z.
    Simos, T. E.
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1181 - 1185
12345