New optimized explicit modified RKN methods for the numerical solution of the Schrödinger equation
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Publication:1936977
DOI10.1007/s10910-012-0090-yzbMath1447.81109OpenAlexW2079330705MaRDI QIDQ1936977
Xiong You, Qinghe Ming, Yong Lei Fang
Publication date: 11 February 2013
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-012-0090-y
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) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)
Related Items (4)
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions ⋮ A 6(4) optimized embedded Runge-Kutta-Nyström pair for the numerical solution of periodic problems ⋮ New 8-step symmetric embedded predictor-corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation ⋮ New optimized symmetric and symplectic trigonometrically fitted RKN methods for second-order oscillatory differential equations
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