On the characterizations of partial metrics and quasimetrics
AbstractWe present the relationship between the notion of partial metric, which has applications in Computer Science, that of quasimetric (which…
2016
Corrected Newtonian potentials in the two-body problem with applications
AbstractAuthorsM.-C. Anisiu Romanian Academy, Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca I. Szucs-Csillik Romanian Academy, Institute of Astronomy, Astronomical Observatory…
The iterates of positive linear operators with the set of constant functions as the fixed point set
AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…
On the asymptotic equivalence of a differential system with maxima
Abstract In this paper, we give some general results on the asymptotic relationship between the solutions of a linear differential…
Hybrid differential equations with maxima via Picard operators theory
0
AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the Cauchy problem…
Analysis of a contact problem with wear and unilateral constraint
AbstractThis paper represents a continuation of our previous work, where a mathematical model which describes the equilibrium of an elastic…
Spectral collocation solutions to systems of boundary layer type
AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…
Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problem
AbstractWe are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona Mahony-Burgers…
A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
AbstractProbability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They…
Towards a filtered density function approach for reactive transport in groundwater
AbstractEvolution equations for probability density functions (PDFs) and filtered density functions (FDFs) of random species concentrations weighted by conserved scalars…
Publications
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 review the conditional stability of this problem and then discuss…
Read More On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators
Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate some approximation properties of this new class. The evaluation of…
Read More 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 to the minimization problem of a convex Fréchet differentiable function.…
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