A super set of Patterson Wiedemann functions upper bounds and possible nonlinearities

Kavut, Selçuk
Maitra, Subhamoy
Özbudak, Ferruh
International Workshop on the Arithmetic of Finite Fields WAIFI 2016, (13-15 Temmuz 2016)


A conic quadratic formulation for a class of convex congestion functions in network flow problems
Gürel, Sinan (Elsevier BV, 2011-06-01)
In this paper we consider a multicommodity network flow problem with flow routing and discrete capacity expansion decisions. The problem involves trading off congestion and capacity assignment (or expansion) costs. In particular, we consider congestion costs involving convex, increasing power functions of flows on the arcs. We first observe that under certain conditions the congestion cost can be formulated as a convex function of the capacity level and the flow. Then, we show that the problem can be effici...
A relation between quasi-cyclic codes and 2-D cyclic codes
Guneri, Cem; Özbudak, Ferruh (Elsevier BV, 2012-01-01)
We consider a q-ary quasi-cyclic code C of length ml and index l, where both in and l are relatively prime to q. If the constituents of C are cyclic codes, we show that C can also be viewed as a 2-D cyclic code of size m x l over F(q). In case in and l are also coprime to each other, we easily observe that the code C must be equivalent to a cyclic code, which was proved earlier by Lim.
An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method
Türk, Önder (Elsevier BV, 2020-11-01)
An eigenvalue problem is introduced for the magnetohydrodynamic (MHD) Stokes equations describing the flow of a viscous and electrically conducting fluid in a duct under the influence of a uniform magnetic field. The solution of the eigenproblem is approximated by using a spectral collocation method that is based on vanishing the residual equation at the collocation points on the physical domain which are chosen to be the Chebyshev–Gauss–Lobatto points. As the solutions are sought in the physical space, the...
A general pseudospectral formulation of a class of Sturm-Liouville Systems
Alıcı, Haydar; Taşeli, Hasan; Department of Mathematics (2010)
In this thesis, a general pseudospectral formulation for a class of Sturm-Liouville eigenvalue problems is consructed. It is shown that almost all, regular or singular, Sturm-Liouville eigenvalue problems in the Schrödinger form may be transformed into a more tractable form. This tractable form will be called here a weighted equation of hypergeometric type with a perturbation (WEHTP) since the non-weighted and unperturbed part of it is known as the equation of hypergeometric type (EHT). It is well known tha...
NUTKU, Yavuz; Sarıoğlu, Bahtiyar Özgür (1993-01-01)
We have identified a completely integrable family of Monge-Ampère equations through an examination of their Hamiltonian structure. Starting with a variational formulation of the Monge-Ampère equations we have constructed the first Hamiltonian operator through an application of Dirac's theory of constraints. The completely integrable class of Monge-Ampère equations are then obtained by solving the Jacobi identities for a sufficiently general form of the second Hamiltonian operator that is compatible with the...
Citation Formats
S. Kavut, S. Maitra, and F. Özbudak, “A super set of Patterson Wiedemann functions upper bounds and possible nonlinearities,” presented at the International Workshop on the Arithmetic of Finite Fields WAIFI 2016, (13-15 Temmuz 2016), 2016, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/75967.