Page 1

Displaying 1 – 9 of 9

Showing per page

Factorization makes fast Walsh, PONS and other Hadamard-like transforms easy

Kautsky, Jaroslav (2015)

Application of Mathematics 2015

A simple device, based on the factorization of invertible matrix polynomials, enabling to identify the possibility of fast implementation of linear transforms is presented. Its applicability is demonstrated in the case of Hadamard matrices and their generalization, Hadamard matrix polynomials.

Fast optical tracking of diffusion in time-dependent environment of brain extracellular space

Hrabě, Jan (2013)

Applications of Mathematics 2013

An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability that occur,...

Finite element analysis for a regularized variational inequality of the second kind

Zhang, Tie, Zhang, Shuhua, Azari, Hossein (2012)

Applications of Mathematics 2012

In this paper, we investigate the a priori and the a posteriori error analysis for the finite element approximation to a regularization version of the variational inequality of the second kind. We prove the abstract optimal error estimates in the H 1 - and L 2 -norms, respectively, and also derive the optimal order error estimate in the L -norm under the strongly regular triangulation condition. Moreover, some residual–based a posteriori error estimators are established, which can provide the global upper...

Finite element modelling of flow and temperature regime in shallow lakes

Podsechin, Victor, Schernewski, Gerald (2013)

Applications of Mathematics 2013

A two-dimensional depth-averaged flow and temperature model was applied to study the circulation patterns in the Oder (Szczecin) Lagoon located on the border between Germany and Poland. The system of shallow water and temperature evolution equations is discretized with the modified Utnes scheme [4], which is characterized by a semi-decoupling algorithm. The continuity equation is rearranged to Helmholtz equation form. The upwinding Tabata method [3] is used to approximate convective terms. Averaged...

From binary cube triangulations to acute binary simplices

Brandts, Jan, van den Hooff, Jelle, Kuiper, Carlo, Steenkamp, Rik (2012)

Applications of Mathematics 2012

Cottle’s proof that the minimal number of 0 / 1 -simplices needed to triangulate the unit 4 -cube equals 16 uses a modest amount of computer generated results. In this paper we remove the need for computer aid, using some lemmas that may be useful also in a broader context. One of the 0 / 1 -simplices involved, the so-called antipodal simplex, has acute dihedral angles. We continue with the study of such acute binary simplices and point out their possible relation to the Hadamard determinant problem.

Fuzzy sets and small systems

Považan, Jaroslav, Riečan, Beloslav (2013)

Applications of Mathematics 2013

Independently with [7] a corresponding fuzzy approach has been developed in [3-5] with applications in measure theory. One of the results the Egoroff theorem has been proved in an abstract form. In [1] a necessary and sufficient condition for holding the Egoroff theorem was presented in the case of a space with a monotone measure. By the help of [2] and [6] we prove a variant of the Egoroff theorem stated in [4].

Currently displaying 1 – 9 of 9

Page 1