Analysis of a rate-and-state friction problem with viscoelastic materials

AbstractWe consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact is…

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…