Analysis of a rate-and-state friction problem with viscoelastic materials
Abstract We consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact…
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
Abstract In this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging…
Evidence for quasiperiodicity in orbital period modulation of WW Cygni
Abstract The Algol type binary system WW Cygni is known to display an intricate orbital period variability phenomenon which consists…