On variable-step methods for the numerical solution of Schrödinger equation and related problems

DOI10.1016/S0097-8485(00)00085-1zbMath1064.65060WikidataQ34128517 ScholiaQ34128517MaRDI QIDQ4652427

George Avdelas, Theodore E. Simos

Publication date: 23 February 2005

Published in: Computers & Chemistry (Search for Journal in Brave)

zbMATH Keywords

stabilitySchrödinger equationNumerical resultsScattering problemsWave equationError controlPhase-lagCoupled differential equationsVariable-step methods

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) 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)

Related Items (7)

High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation ⋮ Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation ⋮ A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation ⋮ A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation ⋮ A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ P-stable linear symmetric multistep methods for periodic initial-value problems ⋮ High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation

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