A Trigonometrically Adapted Embedded Pair of Explicit Runge-Kutta-Nyström Methods to Solve Periodic Systems

2021 ◽  
Author(s):  
Musa Ahmed Demba ◽  
Higinio Ramos ◽  
Poom Kumam ◽  
Wiboonsak Watthayu ◽  
Norazak Senu ◽  
...  
Keyword(s):  
Periodic Systems ◽  
Nyström Methods ◽  
Runge Kutta

Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods

2014 ◽  
Author(s):  
Theodore Monovasilis ◽  
Zacharoula Kalogiratou ◽  
T. E. Simos
Keyword(s):  
Nyström Methods ◽  
Exponentially Fitted ◽  
Runge Kutta

scholarly journals Explicit parallel two-step Runge-Kutta-Nyström methods

1996 ◽  
Vol 32 (3) ◽  
pp. 119-130 ◽  
Author(s):  
N.h. Cong
Keyword(s):  
Nyström Methods ◽  
Runge Kutta

scholarly journals High-order zero-dissipative Runge-Kutta-Nyström methods

1998 ◽  
Vol 95 (1-2) ◽  
pp. 157-161 ◽  
Author(s):  
Ch. Tsitouras
Keyword(s):  
High Order ◽  
Order Zero ◽  
Nyström Methods ◽  
Runge Kutta

scholarly journals Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors

1996 ◽  
Vol 69 (1) ◽  
pp. 1-11 ◽  
Author(s):  
G. Papageorgiou ◽  
Ch. Tsitouras
Keyword(s):  
Nyström Methods ◽  
Phase Errors ◽  
Runge Kutta

scholarly journals A 5(3) pair of explicit Runge–Kutta–Nyström methods for oscillatory problems

2007 ◽  
Vol 45 (5-6) ◽  
pp. 708-716 ◽  
Author(s):  
Hans Van de Vyver
Keyword(s):  
Nyström Methods ◽  
Runge Kutta

scholarly journals New modified Runge–Kutta–Nyström methods for the numerical integration of the Schrödinger equation

2010 ◽  
Vol 60 (6) ◽  
pp. 1639-1647 ◽  
Author(s):  
Z. Kalogiratou ◽  
Th. Monovasilis ◽  
T.E. Simos
Keyword(s):  
Schrödinger Equation ◽  
Numerical Integration ◽  
Schrodinger Equation ◽  
Nyström Methods ◽  
Runge Kutta

Two-derivative Runge-Kutta-Nyström methods for second-order ordinary differential equations

2015 ◽  
Vol 70 (4) ◽  
pp. 897-927 ◽  
Author(s):  
Zhaoxia Chen ◽  
Zeyu Qiu ◽  
Juan Li ◽  
Xiong You
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Nyström Methods ◽  
Runge Kutta

An alternative approach for order conditions of Runge-Kutta-Nyström methods

2021 ◽  
Vol 47 (5) ◽  
Author(s):  
Xue Sun ◽  
Zhongli Liu ◽  
Hongjiong Tian
Keyword(s):  
Order Conditions ◽  
Nyström Methods ◽  
Alternative Approach ◽  
Runge Kutta
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