Filip Bartoš

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Štěpán Bezděk

Abstract: TBA

Kryštof Blažek, Ing. Miroslav Kolář, Ph.D.

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This bachelor project numerically investigates the propagation speed and convergence properties of SIR models. We use finite‐difference discretization in space and a fourth‐order Runge–Kutta scheme in time to simulate traveling‐wave solutions in one‐ and two‐dimensional domains. We perform an experimental order‐of‐convergence study under varying interpolation schemes (linear, natural spline, and not‐a‐knot spline) and verify the theoretical minimal wave speed derived via a supersolution argument. Additionally, we implement and test a moving‐boundary SIR model with Stefan‐type front dynamics.

Martin Jex

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Pavel Ježek

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Ondřej Marek

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This contribution studies the multi-speed entropic lattice Boltzmann method (ELBM). A generalization of a single-speed LBM wall boundary condition to multi-speed models is proposed and compared. A numerical study of drag and lift coefficients for a cylinder and NACA profile is perfomed using a single-speed LBM model, single-speed ELBM model, multi-speed ELBM model and the finite volume method.

Matěj Michálek

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This work presents the development of an advanced C++ software tool with a graphical user interface (GUI) designed to facilitate efficient communication with FPGA devices used in the COMPASS/AMBER experiments at CERN. The primary function of the tool is to provide intuitive and flexible access to the internal registers of FPGA-based hardware, simplifying tasks such as configuration, monitoring, and debugging. By abstracting low-level operations and presenting them through an accessible interface, the application enhances user interaction with the hardware and supports more effective system control in high-energy physics experiments.

Jakub Michna, Ing. Pavel Strachota Ph.D.

Abstract: TBA

Michal Moc

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TBA

Maneesh Narayanan, Michal Beneš

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We investigate the area-preserving flow of a closed embedded curve under constrained motion with force terms. Specifically, we analyze the deformation of a circle under two force scenarios: a droplet under external force and a circular-shaped eukaryotic cell. Reformulating the motion law as a system of degenerate parabolic PDEs, we solve it numerically using the finite volume method. Our findings offer insights into constrained geometric flows with applications in physical and biological systems.

Jan Oršl

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This thesis focuses on the integration of a checklist, developed as part of a bachelor's thesis, into the existing logbook system to enhance efficiency and accuracy in task tracking. It compares different methods of checklist integration and their benefits, including error reduction and improved clarity of recorded information. Emphasis will be placed on the technical aspects of implementation as well as the user-friendliness of the solution. The thesis also includes the design of innovative logbook modifications that will expand their functional capabilities.

Roman Pirogov

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In my work, I focus on deriving the weak formulation of the FitzHugh–Nagumo system of reaction-diffusion equations in a
two-dimensional domain. The aim is to find a weak solution in Sobolev spaces and to approximate it numerically using the finite difference method. The model simulates the propagation of electric signals in cardiac tissue. The results show how the system’s dynamics depend on model parameters and the domain type.

Daria Soboleva

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Filip Šebek

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This talk presents my thesis, which focuses on the mathematical modeling of the propagation of biochemical agents in heterogeneous media. The model is based on the 3D convection-diffusion equation, which is numerically solved using the finite difference method implemented in a custom code. The aim of the thesis is to simulate biomedical scenarios such as corrosion processes of biodegradable implants or drug delivery to tumor tissues.

Josef Štemberk

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The theoretical part of the work connects concepts from elasticity theory with tools from functional analysis and continuum mechanics. It explores selected problems related to the behavior of elastic end elasto-plastic materials. The practical part focuses on the design of a solver for approximating the solution of a 1D static equilibrium problem for thermo-elastic material, based on the Finite Element Method.

Dalibor Trampota

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TBA

Martin Tůma

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TBA