Article history: Received 22 August 2012 Received in revised form 14 May 2013 Accepted 22 July 2013 Available online xxxx

Analysis `1-recovery refers to a technique of recovering a signal that is sparse in some transform domain from incomplete corrupted measurements. This includes total variation minimization as an important special case when the transform domain is generated by a difference operator. In the present paper we provide a bound on the number of Gaussian measurements required for successful recovery fo...

In [Ergodic Theory Dynam. System, 16 (1996) 663–682], S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card(S) ≤ 327. In this paper, we improve this result by giving an S-adic charaterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.

Article history: Received 30 March 2013 Received in revised form 21 July 2013 Accepted 5 February 2014 Available online 14 February 2014

We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss' theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (jc , invariable coefficients.

Several studies have presented compact fourth order accurate finite difference approximation for the Helmholtz equation in two or three dimensions. Several of these formulae allow for the wave number k to be variable. Other papers have extended this further to include variable coefficients within the Laplacian which models non-homogeneous materials in electromagnetism. Later papers considered m...

A third-order Energy Stable Weighted Essentially Non–Oscillatory (ESWENO) finite difference scheme developed by Yamaleev and Carpenter (AIAA 2008–2876, 2008) was proven to be stable in the energy norm for both continuous and discontinuous solutions of systems of linear hyperbolic equations. Herein, a systematic approach is presented that enables “energy stable” modifications for existing WENO s...

Article history: Received 18 September 2013 Received in revised form 26 March 2014 Accepted 29 March 2014 Available online 4 April 2014

To facilitate the management and improvement of business operations, this paper elaborates on process modelling for exploring operations solutions. “Operations solutions” is used as a general term encompassing the different ways a business creates value for its stakeholders. The first half of the paper outlines different operations solutions that can be distinguished in a business as possible t...