Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials
Abstract The paper is centered on the study of a class of linear positive operators of discrete type introduced in…
Numerical Analysis
On the monotonicity of a sequence of Stancu-Bernstein type operators
Abstract One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending…
An application of divided differences
Abstract 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 annulus
Abstract 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 Problems
AbstractThe 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 type
Abstract 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 problems
Abstract 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 damping
AbstractThis 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 Media
AbstractThis 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 methods
Book summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…