Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials4 weeks agoAbstract The paper is centered on the study of a class of linear positive operators of discrete type introduced in…
On the monotonicity of a sequence of Stancu-Bernstein type operators4 weeks agoAbstract One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending…
An application of divided differences4 weeks agoAbstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…
On the localization and numerical computation of positive radial solutions for φ-Laplace equations in the annulus6 months agoAbstract The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a…
Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems9 months agoAbstractThe Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular…
A new optimal method of order four of Hermite–Steffensen type10 months agoAbstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…
On high-order conforming finite element methods for ill-posed Helmholtz problems1 year agoAbstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…
Tikhonov regularization of a perturbed heavy ball system with vanishing damping1 year agoAbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…
Global Random Walk Solutions for Flow and Transport in Porous Media1 year agoAbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…
Unique continuation problems and stabilised finite element methods2 years agoBook summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…