Number of found documents: 15041
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Probability density determination by means of Gibbs entropy probability density
Náprstek, Jiří; Fischer, Cyril
2019 - English
A method of random response investigation of a nonlinear dynam-ical system is discussed. In particular, the solution of the probability density of a single/multi-degree of freedom (SDOF/MDOF) system response is investigated. Multiple stable equilibrium states with possible jumps of the snap-through type among them are considered. The system is Hamiltonian with weak damping excited by a set of non-stationary Gaussian white noises. The solution, which is based on the Gibbs principle of the maximum entropy of probability, can be employed in various branches of engineering. The search for the extreme of the Gibbs entropy functional is formulated as a constrained optimization problem. The secondary constraints follow from the Fokker-Planck equation (FPE) for the system considered or from the system of ordinary di_erential equations for the stochastic moments of the response derived from the relevant FPE Keywords: Fokker-Planck equation; Gibbs entropy functional; maximum entropy; probability density principle Available at various institutes of the ASCR
Probability density determination by means of Gibbs entropy probability density

A method of random response investigation of a nonlinear dynam-ical system is discussed. In particular, the solution of the probability density of a single/multi-degree of freedom (SDOF/MDOF) system ...

Náprstek, Jiří; Fischer, Cyril
Ústav teoretické a aplikované mechaniky, 2019

Bolts loading in the stronly stressed rock mass
Waclawik, Petr; Sahendra, Ram; Šňupárek, Richard
2019 - Czech
The trial test of new mining method “Roadway-Pillar” was finished at the underground coal mine – ČSM Mine. The wide ranging monitoring was focused on the load bearing capacity of coal pillars and strata deformation changes induced by the roadway-pillar mining method. The results of monitoring allowed bolts loading and loading characteristics to be described. Further, an attempt is made to understand the rock bolt loading characteristics at different stages of rib dilation using numerical modelling with the available properties of rock mass and reinforcement for the studied site. Elastic and Mohr Coulomb strain-softening constitutive models are considered in FLAC3D to evaluate the performance of the rock bolts. Při zkušebním provozu modifikované metody komora-pilíř s ponechanými stabilními pilíři, nazvané chodba-pilíř byla na Dole ČSM použita svorníková výztuž stropu a boků chodeb (stěn ponechaných pilířů). Zatížení a deformace svorníků byly měřeny v rámci rozsáhlého geotechnického monitoringu [1,2]. Následně bylo použito matematického modelování v softwaru Itasca FLAC3D [3] pro lepší objasnění zatěžovacích charakteristik svorníkové výztuže. Keywords: Roadway-Pillar mining method; ČSM Mine; coal pillars Available in a digital repository NRGL
Bolts loading in the stronly stressed rock mass

The trial test of new mining method “Roadway-Pillar” was finished at the underground coal mine – ČSM Mine. The wide ranging monitoring was focused on the load bearing capacity of coal pillars and ...

Waclawik, Petr; Sahendra, Ram; Šňupárek, Richard
Ústav geoniky, 2019

The scalar-valued score functions of continuous probability distribution
Fabián, Zdeněk
2019 - English
In this report we give theoretical basis of probability theory of continuous random variables based on scalar valued score functions. We maintain consistently the following point of view: It is not the observed value, which is to be used in probabilistic and statistical considerations, but its 'treated form', the value of the scalar-valued score function of distribution of the assumed model. Actually, the opinion that an observed value of random variable should be 'treated' with respect to underlying model is one of main ideas of the inference based on likelihood in classical statistics. However, a vector nature of Fisher score functions of classical statistics does not enable a consistent use of this point of view. Instead, various inference functions are suggested and used in solutions of various statistical problems. Inference function of this report is the scalar-valued score function of distribution. Keywords: Shortcomings of probability theory; Scalar-valued score functions; Characteristics of continous random variables; Parametric estimation; Transformed distributions; Skew-symmetric distributions Available at various institutes of the ASCR
The scalar-valued score functions of continuous probability distribution

In this report we give theoretical basis of probability theory of continuous random variables based on scalar valued score functions. We maintain consistently the following point of view: It is not ...

Fabián, Zdeněk
Ústav informatiky, 2019

Laplacian preconditioning of elliptic PDEs: Localization of the eigenvalues of the discretized operator
Gergelits, Tomáš; Mardal, K.-A.; Nielsen, B. F.; Strakoš, Z.
2019 - English
This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of fluorescent particle concentration, see [6, 1, 3, 4, 5]. More precisely, we continue to look for an optimal bleaching pattern used in FRAP (Fluorescence Recovery After Photobleaching), being the initial condition of the Fickian diffusion equation maximizing a sensitivity measure. As follows, we define an optimization problem and we show the special feature (so-called complementarity principle) of the optimal binary-valued initial conditions. Available in digital repository of the ASCR
Laplacian preconditioning of elliptic PDEs: Localization of the eigenvalues of the discretized operator

This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of ...

Gergelits, Tomáš; Mardal, K.-A.; Nielsen, B. F.; Strakoš, Z.
Ústav informatiky, 2019

Characterization of organic raw and drinking water on Želivka water treatment plant
Pivokonský, Martin; Čermáková, Lenka; Pivokonská, Lenka
2019 - Czech
Natural Organic Matter (NOM) is an important part of surface water. One of the suitable methods of the identification of the composition of NOM is their fractionation based on the principle of sorption of organic matter on ion-exchange resins. Přírodní organické látky (Natural Organic Matter - NOM) jsou významnou součástí povrchových vod. Jednou z vhodných metod identifikace složení NOM je jejich frakcionace založená na principu sorpce organických látek na ionexových pryskyřicích. Keywords: drinking water; water treatment; natural organic matter; fractionation Available at various institutes of the ASCR
Characterization of organic raw and drinking water on Želivka water treatment plant

Natural Organic Matter (NOM) is an important part of surface water. One of the suitable methods of the identification of the composition of NOM is their fractionation based on the principle of ...

Pivokonský, Martin; Čermáková, Lenka; Pivokonská, Lenka
Ústav pro hydrodynamiku, 2019

SNA´19 - Seminar on numerical analysis.
Blaheta, Radim; Starý, Jiří; Sysalová, Dagmar
2019 - English
Seminar on Numerical Analysis 2017 (SNA'17) is a continuation in a series of SNA events held\nin different places in the Czech Republic and organized alternatively by Ostrava and Prague\ninstitutions. The SNA'17 is organized by the Institute of Geonics of the CAS in collaboration with\nVŠB - Technical University of Ostrava and IT4Innovations National Supercomputing Centre.\nConference location is one of the lecture rooms in New Aula of the VŠB-TU Ostrava.\nLet us note that SNA 2016 was reshaped to EMS School in Applied Mathematics (ESSAM)\ndevoted to mathematical modelling, numerical analysis and scientiffc computing. The SNA'17\nis turning back to more traditional winter event.\nIt provides opportunity for meeting and mutual information of the community working in computational\nmathematics and computer science, but an important part of SNA is devoted to the\nWinter School with tutorial lectures focused on selected important topics within the scope of\nnumerical methods and modelling.\nThis year, a part of the Winter School will be the course Parallel Linear Algebra (PLA) organized\nby the European research infrastructure PRACE, particularly by the French PRACE Advanced\nTraining Centre - Maison de la Simulation. Winter school lectures will cover the ongoing topics\nrelated to domain decomposition methods, interval computations and numerical veriffcation. The\nPLA course will provide lectures from the area of direct and iterative parallel solvers, as well as\npractical training with selected programs. Keywords: numerical analysis; mathematical modelling; computer mathematics Fulltext is available at external website.
SNA´19 - Seminar on numerical analysis.

Seminar on Numerical Analysis 2017 (SNA'17) is a continuation in a series of SNA events held\nin different places in the Czech Republic and organized alternatively by Ostrava and Prague\ninstitutions. ...

Blaheta, Radim; Starý, Jiří; Sysalová, Dagmar
Ústav geoniky, 2019

Large-area scans of paintings with high resolution
Vopálenský, Michal; Kumpová, Ivana
2019 - Czech
The aim of the measurement was to obtain the radiographs from historical paintings from the Faculty of Restoration of the University Pardubice. Due to the dimensions of the paintings (up to 90 x 110 cm) it was necessary to develop a suitable measurement procedure for successive scanning of the paintings in the TORATOM device. The resulting data are important for the planning of the restoration processes of the paintings and can help to discover otherwise invisible details, like underpaintings etc. Cílem měření bylo získat radiografická data z historických maleb, zapůjčených Fakultou restaurování Univerzity Pardubice. Vzhledem k rozměru obrazů (až 90 × 110 cm) bylo třeba vytvořit vhodnou měřicí proceduru pro postupné skenování pláten v zařízení TORATOM. Výsledná data mají význam pro plánování restaurátorských prací na obrazech a mohou pomoci odhalit jinak neviditelné detaily v malbách, např. podmalby apod. Keywords: large-area X-ray scanning; radiography of fine-art objects; restoration of paintings Available at various institutes of the ASCR
Large-area scans of paintings with high resolution

The aim of the measurement was to obtain the radiographs from historical paintings from the Faculty of Restoration of the University Pardubice. Due to the dimensions of the paintings (up to 90 x 110 ...

Vopálenský, Michal; Kumpová, Ivana
Ústav teoretické a aplikované mechaniky, 2019

Reconstruction of the Renaissance sand-coloured sgraffito based on the material copy
Válek, Jan; Skružná, Olga; Kozlovcev, Petr; Waisserová, J.; Wichterlová, Z.; Jiroušek, Josef
2019 - Czech
The aim of the method is to provide a methodical design for the preparation of sand made sgraffito mortar and show its use on a specific example. Cílem památkového postupu je poskytnout metodický návrh přípravy maltového doplňku pískového\nsgrafita a ukázat jeho využití na konkrétním příkladu. Keywords: renaissance sgraffito; repairs of plasters; traditional building technologies; traditional lime techniques Available in a digital repository NRGL
Reconstruction of the Renaissance sand-coloured sgraffito based on the material copy

The aim of the method is to provide a methodical design for the preparation of sand made sgraffito mortar and show its use on a specific example.

Válek, Jan; Skružná, Olga; Kozlovcev, Petr; Waisserová, J.; Wichterlová, Z.; Jiroušek, Josef
Ústav teoretické a aplikované mechaniky, 2019

Tomographical investigation of the historical metal bracelets
Kumpová, Ivana; Vopálenský, Michal
2019 - Czech
The work was focused on the method definition for the investigation of historical metal artifacts employing the X-ray tomography. Two metal bracelets made of brass and plated with silver were investigated in the laboratory. The goal was to determine the technology of manufacturing and damages, possible also to visualize the silver layer. Práce byla zaměřena na vytvoření metodiky využívající rentgenové (RTG) tomografické zobrazování pro průzkumy historických artefaktů na bázi kovů. V laboratoři byly touto metodou zkoumány dva kovové náramky z mosazi s postříbřeným povrchem. Průzkum byl proveden za účelem odhalení technologie výroby a případných poškození, případně řešení napojení stříbrné vrstvy. Keywords: X-ray tomography; investigation of historical objects; metal artifacts Available at various institutes of the ASCR
Tomographical investigation of the historical metal bracelets

The work was focused on the method definition for the investigation of historical metal artifacts employing the X-ray tomography. Two metal bracelets made of brass and plated with silver were ...

Kumpová, Ivana; Vopálenský, Michal
Ústav teoretické a aplikované mechaniky, 2019

On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle
Matonoha, Ctirad; Papáček, Š.
2019 - English
This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of fluorescent particle concentration, see [6, 1, 3, 4, 5]. More precisely, we continue to look for an optimal bleaching pattern used in FRAP (Fluorescence Recovery After Photobleaching), being the initial condition of the Fickian diffusion equation maximizing a sensitivity measure. As follows, we define an optimization problem and we show the special feature (so-called complementarity principle) of the optimal binary-valued initial conditions. Available in digital repository of the ASCR
On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle

This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of ...

Matonoha, Ctirad; Papáček, Š.
Ústav informatiky, 2019

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