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…
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
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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