Eighth order methods for accurate computations for the Schrödinger equation

DOI10.1016/S0010-4655(97)00074-XzbMath0930.65088MaRDI QIDQ1301534

Theodore E. Simos

Publication date: 12 September 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

numerical resultserror boundsSchrödinger equationphase-lagvariable stepsizemultistep methodsLennard-Jones potentialcoupled differential equationeighth algebraic order three-step methodselastic scattering phase shifts

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Explicit eighth order methods for the numerical integration of initial-value problems with periodic or oscillating solutions ⋮ Accurate calculation of resonances for a central-field model potential ⋮ A generator of hybrid explicit methods for the numerical solution of the Schrödinger equation and related problems ⋮ A generator of dissipative methods for the numerical solution of the Schrödinger equation ⋮ A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems ⋮ The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control ⋮ Bessel and Neumann fitted methods for the numerical solution of the Schrödinger equation ⋮ Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series ⋮ High Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation

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