Research groups
Department of Applied Mathematics
Mathematical analysis and discrete mathematics
The research covers several key areas of modern mathematics, computer science, and quantum technologies. An important part of it is the boundary element method, which is used to solve challenging engineering tasks, such as problems related to the Laplace or Helmholtz equations and shape optimization. Another area of research is graph theory, where we focus on graph decompositions and their use for parallel computations, graph evaluation, and magic evaluation, which find application, for example, in planning algorithms. We focus on continuous and discrete dynamic systems, where we investigate phenomena such as periodicity, chaos, and bifurcation, with applications in electromechanical systems and fractal modeling.
Quantum computing is another promising area of research, where we focus on quantum superposition, entanglement, and error correction, as well as the optimization and testing of quantum algorithms on modern platforms such as IBM Qiskit and Google Cirq.
Research topics:
- Method of border elements
- Method of distribution of the area
- Variation methods
- Chart decomposition
- Graph and application evaluation
- Dynamic features of continuous and discrete systems
- Quantum counting
Group leader: prof. RNDr. Jiří Bouchala, Ph.D.
Laboratories
The group deals with a range of advanced mathematical and computational methods that have a wide spectrum of applications in theoretical and practical research. Among the main areas is the boundary element method, which is used to solve complex engineering problems, such as Laplace and Helmholtz equations, or linear elasticity problems. Another important area is graph theory, in particular graph decompositions, evaluations, and their applications in parallel algorithms. We also deal with dynamic systems, both continuous and discrete, which are used, for example, in modeling chaos or bifurcation phenomena. We also focus on quantum computing, where we investigate the properties of quantum superposition, entanglement, and the implementation of quantum circuits with the aim of optimizing and testing quantum algorithms on modern quantum computers from leading global companies.
Gallery of laboratories
