Ibraheem Alolyan

A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

Ibraheem Alolyan, T. E. Simos · Computers & Mathematics with Applications · 2011 · 130 citations

Spectral Theory, Numerical Analysis, Numerical Computation +10

A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems

Ibraheem Alolyan, Zacharias Anastassi, T. E. Simos · Applied Mathematics and Computation · 2011 · 123 citations

Numerical Analysis, Method Of Fundamental Solution, New Family +8

A Runge–Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation

Ibraheem Alolyan, T. E. Simos · Journal of Mathematical Chemistry · 2013 · 84 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +6

A family of explicit linear six-step methods with vanished phase-lag and its first derivative

Ibraheem Alolyan, T. E. Simos · Journal of Mathematical Chemistry · 2014 · 55 citations

Numerical Analysis, Reduced Order Modeling, Numerical Computation +8

A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation

Ibraheem Alolyan, T. E. Simos · Journal of Mathematical Chemistry · 2014 · 55 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +7