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Collection's Items (Sorted by Submit Date in Descending order): 1 to 20 of 45
Benedikt, Jiří , Domoshnitsky, Alexander , Rasin, Alexander , Girg, Petr , Padhi, Seshadev , Kotrla, Lukáš
Nonlinear models of the fluid flow in porous media and their methods of study

We survey mathematical models of the fluid flow in porous media based on quasilinear parabolic partial differential equations. We focus on singular and/or degenerate parabolic equations, which are suitable for modeling of turbulent filtration such as groundwater flow trough gravel and/o...

Matonoha, Ctirad , Moskovka, Alexej , Valdman, Jan
Minimization of p-Laplacian via the Finite Element Method in MATLAB

Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool to an efficient implementation is a local evaluation of the approximated gradients together with sparsity of the resulting Hessian matrix....

Horníková, Hana , Vuik, Cornelis
Preconditioning for linear systems arising from IgA discretized incompressible Navier–Stokes equations

We deal with efficient techniques for numerical simulation of the incompressible fluid flow based on the Navier–Stokes equations discretized using the isogeometric analysis approach. Typically, the most time-consuming part of the simulation is solving the large saddle-point type linear systems ar...

Egermaier, J. , Horníková, H.
Some aspects of isogeometric analysis discretization of the incompressible fluid flow problem

Kawarabayashi, Ken-ichi , Klavík, Pavel , Mohar, Bojan , Nedela, Roman , Zeman, Peter
Isomorphisms of maps on the sphere

For a class of objects with a well-defined isomorphism relation the isomorphism problem asks to determine the algorithmic complexity of the decision whether two given objects are, or are not, isomorphic. Theorems by Steinitz (1916), Whitney (1933) and Mani (1971) show that the isom...

Tomiczková, Světlana
Jak učit deskriptivní a konstruktivní geometrii na dálku aneb příběhy tří učitelů

Possibilities of distance teaching of geometry at different types of schools and levels of education. Experience with the creation of materials and the method of passing information in the field of geometry in order to develop discussion and exchange of experience in this field.

Tomiczková, Světlana
Plochy s Geogebrou

The study of technical practice areas is part of the teaching at various technical faculties. The aim of this article is to present and offer materials created in the Geogebra program, which were created as part of lectures to support full-time teaching, but especially for...

Bastl, Bohumír , Brandner, Marek , Egermaier, Jiří , Horníková, Hana , Slabá, Kristýna , Šourek, Jan , Turnerová, Eva
Comparison of Coupled and Decoupled Solvers for Incompressible Navier–Stokes Equations Solved by Isogeometric Analysis

This paper is devoted to the problem of solving the steady incompressible Navier–Stokes equations discretized by the Galerkin method on the spaces generated by the B-spline/NURBS basis functions, which is called isogeometric analysis. Two pressure-correction methods are presented for the sol...

Nedela, Roman , Ponomarenko, Ilia
Recognizing and Testing Isomorphism of Cayley Graphs over an Abelian Group of Order 4p in Polynomial Time

We construct a polynomial-time algorithm that, for a graph X with 4p We construct a polynomial-time algorithm that for a graph X with 4p vertices (p is prime), finds (if any) a Cayley representation of X over the group C2 × C2 × Cp. This result, together with&#x...

Tomiczek, Petr
Second order problem with ALP condition and unbounded nonlinearities

The nonlinear second order ordinary differential equation u''(x) + m^2 u(x) + g(x, u(x)) = f(x) , x in [0, p] , u(0) = u(p) = 0 is investigated in this article. We suppose that the nonlinearity g is unbounded and satisfies an ALP type condition. We prove...

Bastl, Bohumír , Egermaier, Jiří , Brandner, Marek , Horníková, Hana , Slabá, Kristýna , Turnerová, Eva
Gradient-free and gradient-based methods for shape optimization of water turbine blade

The purpose of our work is to develop an automatic shape optimization tool for runner wheel blades in reaction water turbines, especially in Kaplan turbines. The fluid flow is simulated using an in-house incompressible turbulent flow solver based on recently introduced isogeometric anal...

Brandner, Marek , Knobloch, Petr
Some remarks concerning stabilization techniques for convection–diffusion problems

There are many methods and approaches to solving convection– diffusion problems. For those who want to solve such problems the situation is very confusing and it is very difficult to choose the right method. The aim of this short overview is to provide basic guidelines an...

Ťoupal, Tomáš , Šedivá, Blanka
Multivariate nonparametric kernel estimation

This paper is focused on multivariate estimation of density and distribution function by nonparametric kernel approach. The main goal is to describe univariate and multivariate nonparametric kernel estimation using selected kernel functions and smoothing parameters including a real application. The&#x...

Šedivá, Blanka , Ťoupal, Tomáš
Outlier detection techniques in multidimensional datasets

Outliers can significantly impact data summarization results and data analysis across all types of data analysis. Identifying outliers in multidimensional data is, therefore, one of the key approaches in data preprocessing. across all types of data analysis. In this article, we present ...

Hruda, Lukáš , Kolingerová, Ivana , Lávička, Miroslav
Plane Space Representation in Context of Mode-Based Symmetry Plane Detection

This paper describes various representations of the space of planes. The main focus is on the plane space representation in the symmetry plane detection in E3 where many candidate planes for many pairs of points of the given object are created and then the most often ...

Marek, Patrice , Marková, Věra
Optimization and Testing of Money Flow Index

The paper deals with whether the Money Flow Index (MFI) can still be used successfully for trading, and whether the parameters recommended in the literature are the best that an investor can use. Simulations in randomized time interval for the largest companies in the S&P&...

Marek, Patrice , Šedivá, Blanka
Optimization and Testing of RSI

This paper deals with the Relative Strength Index (RSI), a popular oscillator. It answers the question whether – almost 40 years after its publication – the RSI can be still useful in trading. To answer this question, we compare four strategies: RSI with recommended parameters...

Vávra, František , Ťoupal, Tomáš
Konkordance mezi časovými řadami kurzů měn, statisticko-pravděpodobnostní pohled.

The paper presents one of the possible methodologies for comparing two time series by estimating the probability that both series will increase or decrease (in probability) synchronously. This procedure is analogous to the specific measures of dependence (concordance) between random variables...

Nečesal, Petr , Kadlec, Jiří
The Fučík Spectrum as Two Regular Curves

In this paper, we investigate the structure of the Fučík Spectrum for the second order boundary value problem with one non-local boundary condition. We provide a new compact form of the implicit description of the Fučík Spectrum in the first quadrant. Presented compact form of...

Šedivá, Blanka , Vávra, František
Risk events for two random processes

The problem when a random variable exceeds some boundary is very often studied problem in many fields of science. The classical approach focuses on situation when random variable overlap a fix value. More general methods interested in situation with two random variables and the...

Collection's Items (Sorted by Submit Date in Descending order): 1 to 20 of 45