Analysis of a rate-and-state friction problem with viscoelastic materials
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AbstractWe consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact is…
2017
All roots spectral methods: Constraints, floating point arithmetic and root exclusion
Abstract The nonlinear two-point boundary value problem (TPBVP for short) \[u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,\] offers several insights into spectral methods. First, it…
Stable spectral collocation solutions to Cauchy problems for nonlinear dispersive wave equations
AbstractIn this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging nonlinear…
Evidence for quasiperiodicity in orbital period modulation of WW Cygni
AbstractThe Algol type binary system WW Cygni is known to display an intricate orbital period variability phenomenon which consists in…
Multiscale structure of time series revealed by the monotony spectrum
AbstractObservation of complex systems produces time series with specific dynamics at different time scales. The majority of the existing numerical…
Professor Doctor Engineer Gheorghe Farkas has passed away at the age 83
With deep regret we announce that on July 13, 2017, Professor Dr. Eng. Gheorghe Farkas, honorary member of the Institute, has passed away.…
Mathematician and physicist Calin Vamos has passed away at the age 62
With deep regret we announce that on June 21, 2017, Mathematician and Physicist Dr. Călin Vamoş, senior researcher at the Institute, has…
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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