Embedded methods for the numerical solution of the Schrödinger equation

An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields

J.W. Cooley · Mathematics of Computation · 1961 · 1.1K citations · Full text

Natural Sciences, Chemistry, Physics +14

Symmetric Multistip Methods for Periodic Initial Value Problems

J. D. Lambert, I. A. WATSON · IMA Journal of Applied Mathematics · 1976 · 589 citations

Natural Sciences, Mathematics, Celestial Mechanics +16

Practical points concerning the solution of the Schrödinger equation

John M. Blatt · Journal of Computational Physics · 1967 · 356 citations

Natural Sciences, Mathematics, Physics +12

A numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies

L.Gr. Ixaru, M. Rizea · Computer Physics Communications · 1980 · 344 citations

Natural Sciences, Physics, Computational Physics +8

Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions

P.J. van der Houwen, B.P. Sommeijer · SIAM Journal on Numerical Analysis · 1987 · 338 citations · Full text

Natural Sciences, Mathematics, Physics +12