This article was published in an Elsevier journal. The attached copy is furnished to the author for non-commercial research and education use, including for instruction at the author’s institution, sharing with colleagues and providing to institution administration. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit:

A family G of isomorphic copies of a given digraph ~ G is said to be an orthogonal decomposition of the complete digraph ~ D n by ~ G, if every arc of ~ D n belongs to exactly two members of G and the union of any two different elements from G contains precisely one pair of reverse arcs. Given

1.1 The Problems of Turbulence It has often been remarked that turbulence is a subject of great scientific and technological importance, and yet one of the least understood (e.g. McComb 1990). To an outsider this may seem strange, since the basic

as possible. These techniques which have been based on a number of approaches such as balanced truncation, Arnoldi, proper orthogonal decomposition etc are designed to obtain a reduced-order model for both linear and nonlinear systems. However there has been a paucity in the application of these techniques

Two extensions to the proper orthogonal decomposition (POD) technique are considered for steady aerodynamic applications. The first is to couple the POD approach with a cubic spline interpolation procedure in order to develop fast, low-order models that accurately capture the variation

and complex, requiring a great deal of computational resources and time to run. In this paper, proper orthogonal decomposition (POD), a model reduction technique that has been successfully applied to a number of different application areas, is applied to the nanoscale slip-stick friction problem. The standard

Abstract not found

A real symmetric tensor is orthogonally decomposable (or odeco) if it can be written as a linear combination of symmetric powers of n vectors which form an orthonormal basis of Rn. Motivated by the spectral theorem for real symmetric matrices, we study the properties of odeco tensors. We give a

46 47 48 49 50 51 52

a bundle of short cylinders confined in a channel