Abstract. Traditionally, extending the Singular Value Decomposition (SVD) to third-order tensors (multiway arrays) has involved a representation using the outer product of vectors. These outer products can be written in terms of the n-mode product, which can also be used to describe a type of multiplication between two tensors. In this paper, we present a different type of third-order generaliz...

We present a numerical scheme, based on Godunov’s method (REA algorithm), for the variance of the solution of the 1D random linear transport equation, with homogeneous random velocity and random initial condition. We obtain the stability conditions of the method and we also show its consistency with a deterministic nonhomogeneous advective-diffusive equation, which means convergency. Numerical ...

Over the last few years, the automata-theoretic approach to realizability checking and synthesis of reactive modules, developed by Pnueli and Rosner, by Abadi, Lamport, and Wolper, and by Dill and Wong-Toi, has been quite successful, handling both the synchronous and the asynchronous cases. In this approach one transforms the specification into a tree automaton. The specification is realizable ...

in this paper, we use a third degree b-spline function to construct an approximate solution forthird order linear and nonlinear boundary value problems coupled with the least square method. severalexamples are given to illustrate the efficiency of the proposed technique.

A novel large input range source-follower based bi-quad filter cell is proposed offering an additional degree of freedom to the position of the poles and zeros. Simulation results of a 4th order fully differential elliptical filter in a 0.13μm CMOS technology confirm a power consumption of 160μA @ 1.2V, an IIP3 of 6.3 dBm and a steepness of 177 db/decade.