All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 3 Next

Displaying 41 – 60 of 112

Showing per page

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].

Geometric diagram for representing shape quality in mesh refinement

Suárez, José P., Plaza, Ángel, Moreno, Tania (2015)

Application of Mathematics 2015

We review and discuss a method to normalize triangles by the longest-edge. A geometric diagram is described as a helpful tool for studying and interpreting the quality of triangle shapes during iterative mesh refinements. Modern CAE systems as those implementing the finite element method (FEM) require such tools for guiding the user about the quality of generated triangulations. In this paper we show that a similar method and corresponding geometric diagram in the three-dimensional case do not exist....

h p -anisotropic mesh adaptation technique based on interpolation error estimates

Dolejší, Vít (2013)

Applications of Mathematics 2013

We present a completely new h p -anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic...

Identification of parameters in parabolic inverse problems

Azari, Hossein, Liu, Tang, Zhang, Shuhua (2012)

Applications of Mathematics 2012

In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.

Integral transforms -- the base of recent technologies

Mošová, Vratislava (2013)

Applications of Mathematics 2013

In this article, the attention is paid to Fourier, wavelet and Radon transforms. A short description of them is given. Their application in signal processing especially for repairing sound and reconstructing image is outlined together with several simple examples.

Interplay of simple stochastic games as models for the economy

Garibaldi, Ubaldo, Radivojević, Tijana, Scalas, Enrico (2013)

Applications of Mathematics 2013

Using the interplay among three simple exchange games, one may give a satisfactory representation of a conservative economic system where total wealth and number of agents do not change in time. With these games it is possible to investigate the emergence of statistical equilibrium in a simple pure-exchange environment. The exchange dynamics is composed of three mechanisms: a decentralized interaction, which mimics the pair-wise exchange of wealth between two economic agents, a failure mechanism,...

Message doubling and error detection in the binary symmetrical channel

Kárná, Lucie, Klapka, Štěpán (2015)

Application of Mathematics 2015

The error correcting codes are a common tool to ensure safety in various safety-related systems. The usual technique, employed in the past, is to use two independent transmission systems and to send the safety relevant message two times. This article focuses on analysis of the detection properties of this strategy in the binary symmetrical channel (BSC) model. Besides, various modifications of the mentioned technique can be used. Their impact on the detection properties can be significant, positively...

Currently displaying 41 – 60 of 112