An efficient and economical high order method for the numerical approximation of the Schrödinger equation

DOI10.1007/s10910-017-0757-5zbMath1383.65083OpenAlexW2621250083MaRDI QIDQ1694275

Lan Yang, Theodore E. Simos

Publication date: 1 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10910-017-0757-5

zbMATH Keywords

stabilitynumerical exampleerror analysisSchrödinger equationphase-lagsymmetrichybridmultistepderivative of the phase-lagoscillating solutionboudnary value problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

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