EXPLICIT RUNGE-KUTTA (-NYSTROM) METHODS WITH REDUCED PHASE ERRORS FOR COMPUTING OSCILLATING SOLUTIONS

被引：318

作者：

VANDERHOUWEN, PJ

SOMMEIJER, BP

机构：

[1] Cent for Mathematics & Computer, Science, Amsterdam, Neth, Cent for Mathematics & Computer Science, Amsterdam, Neth

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1987年 / 24卷 / 03期

关键词：

All Open Access; Green;

D O I：

10.1137/0724041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

MATHEMATICAL TECHNIQUES

引用

页码：595 / 617

页数：23

共 50 条

[1] Continuous Runge-Kutta(-Nystrom) methods with reduced phase-errors
Papageorgiou, G
Tsitouras, C
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 69 (01) : 1 - 11
[2] Explicit Runge-Kutta methods for initial value problems with oscillating solutions
Calvo, M
Franco, JM
Montijano, JI
Randez, L
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 76 (1-2) : 195 - 212
[3] High order explicit Runge-Kutta Nystrom pairs
Sharp, Philip W.
Qureshi, Mohammad A.
Grazier, Kevin R.
NUMERICAL ALGORITHMS, 2013, 62 (01) : 133 - 148
[4] Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nystrom methods
Blanes, S
Moan, PC
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 142 (02) : 313 - 330
[5] Special optimized Runge-Kutta methods for IVPs with oscillating solutions
Anastassi, ZA
Simos, TE
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2004, 15 (01): : 1 - 15
[6] Explicit adaptive Runge-Kutta methods
L. M. Skvortsov
Mathematical Models and Computer Simulations, 2012, 4 (1) : 82 - 91
[7] Explicit stabilized Runge-Kutta methods
L. M. Skvortsov
Computational Mathematics and Mathematical Physics, 2011, 51 : 1153 - 1166
[8] Explicit stabilized Runge-Kutta methods
Skvortsov, L. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (07) : 1153 - 1166
[9] ON THE ECONOMIZATION OF EXPLICIT RUNGE-KUTTA METHODS
SOMMEIJER, BP
APPLIED NUMERICAL MATHEMATICS, 1986, 2 (01) : 57 - 68
[10] Symmetries of explicit Runge-Kutta methods
Sergey Khashin
Numerical Algorithms, 2014, 65 : 597 - 609

← 1 2 3 4 5 →