A Modified Runge-Kutta Method with Increased Phase-lag and Amplification Error Properties for the Numerical Solution of Orbital Problems

被引：0

作者：

Kanavos, Athanasios N. ^{[1
]}

Papadopoulos, Dimitris. F. ^{[2
]}

Simos, Theodore E. ^{[3
,4
]}

机构：

[1] Technol Educ Inst Western Greece, Dept Informat, GR-30300 Naupaktos, Greece

[2] Technol Educ Inst Western Greece, Fac Econ & Management, Dept Business Adm, GR-26334 Patras, Greece

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[4] Univ Peloponnese, Fac Sci & Technol, Comp Sci Lab, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece

来源：

INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2014 (ICCMSE 2014) | 2014年 / 1618卷

关键词：

Runge-Kutta methods; Phase-lag; Phase-fitted; amplification fitted; derivatives; initial value problems; orbital problems; INITIAL-VALUE PROBLEMS; PREDICTOR-CORRECTOR METHOD; SCHRODINGER-EQUATION; OSCILLATING SOLUTIONS; NYSTROM METHODS; 4-STEP METHODS; EFFICIENT INTEGRATION; MULTISTEP METHODS; ORDER; IVPS;

D O I：

10.1063/1.4897865

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In the present paper the technique of phase fitting and amplification fitting is applied in order to construct a new explicit modified Runge-Kutta method, for the numerical integration of well-known periodic orbital problems

引用

页码：850 / 854

页数：5

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