A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

DOI10.1007/s10910-011-9862-zzbMath1252.81133OpenAlexW2074198463MaRDI QIDQ652720

Ibraheem Alolyan, Theodore E. Simos

Publication date: 15 December 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9862-z

zbMATH Keywords

Schrödinger equationphase-lagnumerical solutionP-stabilitymultistep methodshybrid methodsderivatives of the phase-laginterval of periodicityphase-fitted

Mathematics Subject Classification ID

Related Items (11)

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ The use of phase lag and amplification error derivatives for the construction of a modified Runge-Kutta-Nyström method ⋮ A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation ⋮ New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis ⋮ A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation ⋮ A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation ⋮ A new modified embedded 5(4) pair of explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation ⋮ An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation ⋮ A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

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