Geophysical implications of a decentered inner core
AbstractIn a first approximation, the Earth’s interior has an isotropic structure with a spherical symmetry. Over the last decades the…
2014
On the accuracy of pseudospectral differentiation
AbstractFor various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters. The…
Accurate spectral solutions to a phase-field transition system
0
AbstractThe paper is mainly concerned with numerical approximation of solutions to the phase-field transition system (Caginalp’s model), subject to the…
Diffusion in random velocity fields with applications to contaminant transport in groundwater
AbstractThe process of diffusion in a random velocity field is the mathematical object underlying currently used stochastic models of transport in…
Intrinsic superstatistical components of financial time series
AbstractTime series generated by a complex hierarchical system exhibit various types of dynamics at different time scales. A financial time…
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…
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