Orbital period modulation of the eclipsing binary system ER Vulpeculae: Real or not?
AbstractThe reanalysis of the timing data of the binary system ER Vulpeculae revealed the superposition of a relatively slow increasing…
2013
Application of the Jacobi-Davidson method to accurate analysis of singular linear hydrodynamic stability problems
AbstractThe aim of this paper is to show that the Jacobi–Davidson (JD) method is an accurate and robust method for…
Laguerre collocation solutions to boundary layer type problems
AbstractIn this paper a Laguerre collocation type method based on usual Laguerre functions is designed in order to solve high…
A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity
AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…
A coupled finite element–global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity
AbstractSolute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In…
Numerical demodulation of a Gaussian white noise modulated in amplitude by a deterministic volatility
AbstractThe Gaussian white noise modulated in amplitude is defined as the product of a Gaussian white noise and a slowly…
On an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
On a Newton-Steffensen type method
Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…
Publications
Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media
AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices according to specific random walk rules. The occupation number of…
Read More Functional differential equations with maxima, via step by step contraction principle
AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019, I. A. Rus formalized this notion (I. A. Rus, Some…
Read More How many steps still left to x*?
(original), (survey), Convergence orders, Fixed point theory, history, ISI/JCR, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, secant/chord method, successive approximations
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Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac {|x^\ast – x_{k+1}|}{|x^\ast – x_k|^{p_0}}\in(0,+\infty), \end{equation} \begin{equation}\tag{$Q$} \lim \frac {\ln…
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