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
0
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
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*?
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…
Read More Publication Fields
- (original) (363)
- (preprint) (20)
- (proceedings) (32)
- (survey) (3)
- Announcements (33)
- Approximation Theory (26)
- book chapter (3)
- Books (25)
- Chebyshev method (4)
- Convergence orders (10)
- divided differences (10)
- eigenvalue/eigenvector problems (15)
- finite differences (FD) (4)
- Finite element (FEM) (15)
- Fixed point theory (26)
- global random walk (17)
- history (4)
- inexact/perturbed iterations (11)
- inverse interpolation (11)
- ISI/JCR (161)
- iterative methods (38)
- Krylov methods (6)
- Linear and positive approximation operators (4)
- linear systems in Rn (7)
- local convergence (20)
- metals and alloys casting (12)
- Meteorology (5)
- Monte Carlo simulations (4)
- Newton method (23)
- nonlinear equations in Banach spaces (6)
- nonlinear equations in R (12)
- nonlinear systems in Rn (11)
- Numerical Analysis (140)
- Numerical Modeling (102)
- ODEs (6)
- Optimization (5)
- paper (418)
- PDEs (26)
- Schulz type iterations (2)
- secant/chord method (6)
- semilocal convergence (8)
- spectral methods (8)
- Steffenssen methods (7)
- successive approximations (6)
- talk (4)
- Time Series (15)
- Uncategorized (1)