A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems
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Publication:1037510
DOI10.1007/s10910-008-9505-1zbMath1200.81045arXiv0811.2469OpenAlexW1975643749WikidataQ58811769 ScholiaQ58811769MaRDI QIDQ1037510
Zacharias A. Anastassi, Theodore E. Simos, Dimitrios Vlachos
Publication date: 16 November 2009
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.2469
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for problems pertaining to quantum theory (81-08)
Related Items
Two-derivative Runge-Kutta methods with increased phase-lag and dissipation order for the Schrödinger equation, The use of phase lag and amplification error derivatives for the construction of a modified Runge-Kutta-Nyström method, New optimized two-derivative Runge-Kutta type methods for solving the radial Schrödinger equation, Exponentially fitted TDRK pairs for the Schrödinger equation, THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation, Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation, Optimized fourth-order Runge-Kutta method for solving oscillatory problems
Uses Software
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