7 citations · 10 across the 4 of their papers we have counts for
5 papers
Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations
Omar Khalil, Hany El-Sharkawy, Maha Youssef +1
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which ut…
A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows
Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev +5
We present an integrated approach for the use of simulated data from full order discretization as well as projection-based Reduced Basis reduced order models for the training of ma…
Machine Learning for Initial Value Problems of Parameter-Dependent Dynamical Systems
Roland Pulch, Maha Youssef
We consider initial value problems of nonlinear dynamical systems, which include physical parameters. A quantity of interest depending on the solution is observed. A discretisation…
Weighted Lagrange Interpolation Using Orthogonal Polynomials: Stenger's Conjecture, Numerical Approach
Maha Youssef, Gerd Baumann
In this paper we investigate polynomial interpolation using orthogonal polynomials. We use weight functions associated with orthogonal polynomials to define a weighted form of Lagr…
Poly-Sinc Solution of Stochastic Elliptic Differential Equations
Maha Youssef, Roland Pulch
In this paper, we introduce a numerical solution of a stochastic partial differential equation (SPDE) of elliptic type using polynomial chaos along side with polynomial approximati…