Closed Newton–Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems

Stabilization of Cowell's method

Eduard Stiefel, D. G. Bettis · Numerische Mathematik · 1969 · 408 citations

Natural Sciences, Mechanical Engineering, Dynamical Systems +2

Symmetric multistep methods for the numerical integration of planetary orbits

Gerald D. Quinlan, Scott Tremaine · The Astronomical Journal · 1990 · 371 citations

Natural Sciences, Aerospace Engineering, Astrodynamics +16

High-order closed Newton–Cotes trigonometrically-fitted formulae for long-time integration of orbital problems

T. E. Simos · Computer Physics Communications · 2007 · 66 citations

Natural Sciences, Mathematics, Astrodynamics +12

Numerical methods with a high order of accuracy applied in the quantum system

Wusheng Zhu, Xinsheng Zhao, Youqi Tang · The Journal of Chemical Physics · 1996 · 56 citations

Natural Sciences, Mathematics, Physics +9

P-stable Four-Step Exponentially-Fitted Method for the Numerical Integration of the Schr¨odinger Equation

T. E. Simos · Computing Letters · 2004 · 43 citations

Natural Sciences, Physics, Computational Fluid Dynamics +10