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Your search keyword '"Yang, Yanping"' showing total 2 results
Start Over Author "Yang, Yanping" Search Limiters Peer Reviewed Topic runge-kutta formulas Topic two-derivative runge-kutta method
2 results on '"Yang, Yanping"'

1. Modified two-derivative Runge–Kutta methods for the Schrödinger equation.

Author

Yang, Yanping, Fang, Yonglei, and You, Xiong

Subjects
*RUNGE-Kutta formulas, *SCHRODINGER equation, *DERIVATIVES (Mathematics), *ERROR analysis in mathematics, *RESONANCE
Abstract

A family of modified two-derivative Runge–Kutta (MTDRK) methods for the integration of the Schrödinger equation are obtained. Two new three-stage and fifth order TDRK methods are derived. The numerical results in the integration of the radial Schrödinger equation with the Woods–Saxon potential are reported to show the high efficiency of our new methods. The results of the error analysis are illustrated by the resonance problem. [ABSTRACT FROM AUTHOR]

Published
2018
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2. Exponentially fitted TDRK pairs for the Schrödinger equation.

Author

Yang, Yanping, Wu, Ke, and Fang, Yonglei

Subjects
*EXPONENTIAL functions, *SCHRODINGER equation, *DERIVATIVES (Mathematics), *RUNGE-Kutta formulas, *NUMERICAL integration, *ERROR analysis in mathematics
Abstract

Two exponentially fitted two-derivative Runge-Kutta pairs for the numerical integration of the Schrödinger equation are presented in this paper. The asymptotic expressions of the local errors for large energies are given. The numerical results in the integration of the radial Schrödinger equation with the Woods-Saxon potential and the Lennard-Jones potential show the high efficiency of our new methods when compared with some famous optimized codes in the literature. [ABSTRACT FROM AUTHOR]

Published
2015
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