84 citations · 111 across the 5 of their papers we have counts for
5 papers
A new method based on the bundle idea and gradient sampling technique for minimizing nonsmooth convex functions
M. Maleknia, M. Shamsi
In this paper, we combine the positive aspects of the Gradient Sampling (GS) and bundle methods, as the most efficient methods in nonsmooth optimization, to develop a robust method…
A Gradient Sampling method based on Ideal direction for solving nonsmooth nonconvex optimization problems: convergence analysis and numerical experiments
M. Maleknia, M. Shamsi
In this paper, a modification to the Gradient Sampling (GS) method for minimizing nonsmooth nonconvex functions is presented. One drawback in GS method is the need of solving a Qua…
A collocation method of lines for two-sided space-fractional advection-diffusion equations with variable coefficients
Mohammed K. Almoaeet, Mostafa Shamsi, Hassan Khosravian-Arab +1
We present the Method Of Lines (MOL), which is based on the spectral collocation method, to solve space-fractional advection-diffusion equations (SFADEs) on a finite domain with va…
A space-time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives
Mushtaq Salh Ali, Mostafa Shamsi, Hassan Khosravian-Arab +2
We propose a direct numerical method for the solution of an optimal control problem governed by a two-side space-fractional diffusion equation. The presented method contains two ma…
Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
Abubakar Bello Salati, Mostafa Shamsi, Delfim F. M. Torres
This paper presents three direct methods based on Grünwald-Letnikov, trapezoidal and Simpson fractional integral formulas to solve fractional optimal control problems (FOCPs). At f…