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
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
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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