We prove in an abstract setting that standard (continuous) Galerkin finite element approximations are the limit of interior penalty discontinuous Galerkin approximations as the penalty parameter tends to infinity. We apply this result to equations of non-negative characteristic form and the non-linear, time dependent system of incompressible miscible displacement. Moreover, we investigate varyi...

Many real-life Bayesian networks are expected to exhibit commonly known properties of monotonicity, in the sense that higher values for the observable variables should make higher values for the main variable of interest more likely. Yet, violations of these properties may inadvertently be introduced into a network despite careful engineering efforts. In this paper, we present a method for reso...

In this work, we propose a novel method to model time-varying autoregressive impulsive signals, which possess skewed or symmetric Alpha Stable distributions. The main contribution of this work is its ability to model both the unknown autoregressive coefficients and the distribution parameters, where all of them are time-varying. This method is a generalization of previous work by the same autho...

Discrete-time wavelet transform (DWT) is found to be better than other transforms in the time-varying system analysis, e.g. for time-varying parametric modelling [16], time-varying systems identification [17], time-varying parameter estimation [18] and time domain signal analysis [19]. In the literature the common method to analyze the time-varying system using discrete-time wavelet transform i...

This paper addresses the design problem of GainScheduled (GS) H2 filters for Linear Parameter-Varying (LPV) systems under the condition that only inexactly measured scheduling parameters are available. The state-space matrices of the LPV systems are supposed to be polynomially parameter dependent and those of filters which are to be designed are supposed to be rationally parameter dependent. Th...