Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrodinger equation

被引：10
|
作者：
Medvedev, Maxim A. [1 ]
Simos, T. E. [1 ,2 ,3 ]
机构：
[1] Ural Fed Univ, Grp Modern Computat Methods, 19 Mira St, Ekaterinburg 620002, Russia
[2] Univ Peloponnese, Fac Econ Management & Informat, Dept Informat & Telecommun, Sci Computat Lab, Tripoli 22100, Greece
[3] 10 Konitsis St, Athens 17564, Greece
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2017年 / 55卷 / 04期
关键词：
Schrodinger equation; Multistep methods; Multistage methods; Interval of periodicity; Phase-lag; Phase-fitted; Derivatives of the phase-lag; INITIAL-VALUE-PROBLEMS; TRIGONOMETRICALLY-FITTED FORMULAS; SYMMETRIC MULTISTEP METHODS; PREDICTOR-CORRECTOR METHOD; EXPLICIT 4-STEP METHOD; KUTTA-NYSTROM METHODS; 8TH ALGEBRAIC ORDER; P-STABLE METHOD; NUMERICAL-SOLUTION; ORBITAL PROBLEMS;
D O I：
10.1007/s10910-016-0711-y
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
For the first time in the literature, a new two-stages symmetric six-step algorithm is developed and analyzed. The new algorithm has: tenth algebraic order (which is the highest possible order), vanished phase-lag and its first, second, third and fourth derivatives. good stability properties i.e. an interval of periodicity, equal to , the approximation of the first stage of the algorithm is done on the point and no at the usual point . Comparison on local truncation error analysis, Comparison on stability analysis, Comparison on accuracy and computational effectiveness of the solution of the Schrodinger equation.
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页码：961 / 986
页数：26
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