Students and staff

Mathematics

Differential equations

Nonlinear boundary value problems for ordinary differential equations

Boundary value problems for ordinary differential equations. Investigatation of the existence, multiplicity and properties of solutions to nonlinear boundary value problems.

 Sergejs Smirnovs (sergejs.smirnovs@lu.lv; https://www.fmof.lu.lv/en/about/about-faculty/department-of-mathematics/)

Data-driven algorithms. Dynamical systems.

Numerical analysis and numerical methods for differential and integral equations, including data-driven numerical algorithms. The most effort is placed on the development of structure-preserving numerical methods for the study of dynamical systems with applications, for example, Hamiltonian dynamics, crystal lattice models of molecular dynamics, nonlinear waves in crystals, localization, un dynamical systems machine learning. 

 Jānis Bajārs
(janis.bajars@lu.lv; https://www.researchgate.net/profile/Janis-Bajars-2; https://www.fmof.lu.lv/en/about/about-faculty/department-of-mathematics/)

Numerical analysis

Numerical analysis

Numerical analysis and numerical methods for differential and integral equations, including data-driven numerical algorithms. The most effort is placed on the development of structure-preserving numerical methods for the study of dynamical systems with applications, for example, Hamiltonian dynamics, crystal lattice models of molecular dynamics, nonlinear waves in crystals, localization, un dynamical systems machine learning. 

 Jānis Bajārs
(janis.bajars@lu.lv; https://www.researchgate.net/profile/Janis-Bajars-2; https://www.fmof.lu.lv/en/about/about-faculty/department-of-mathematics/)

Applied mathematics and mathematical modeling

Numerical methods for differential and integral equations

Numerical analysis and numerical methods for differential and integral equations, including data-driven numerical algorithms. The most effort is placed on the development of structure-preserving numerical methods for the study of dynamical systems with applications, for example, Hamiltonian dynamics, crystal lattice models of molecular dynamics, nonlinear waves in crystals, localization, un dynamical systems machine learning. 

 Jānis Bajārs (janis.bajars@lu.lv; https://www.researchgate.net/profile/Janis-Bajars-2; https://www.fmof.lu.lv/en/about/about-faculty/department-of-mathematics/)

Mathematical modelling of diffusion and flow problems, optimization of parameters and solution patern recognition

Mathematical modelling of diffusion and flow problems with partial differential equations involves the use of mathematical equations to describe the behavior of complex systems. Identifying and optimizing parameters, as well as recognizing the solution patterns. The usage of initial and boundary-value problems for systems of partial differential equations to model how substances or particles diffuse and react with each other within a given medium, and then finding ways to optimize these equations for better predictions. Identifying patterns in the solutions obtained through the optimization process to better understand the underlying mechanisms of diffusion and reaction.

 Maksims Marinaki (maksims.marinaki@lu.lv; https://www.fmof.lu.lv/en/about/about-faculty/department-of-mathematics/

Other subgroups of mathematics

Statistical geographical data analysis

Statistical processing and analysis of large volumes of geographic data in various formats, such as satellite surveys, seismological measurements, geological measurements and/or other geophysical data. Data preparation for the creation of various physical models.

 Viesturs Zandersons
(viesturs.zandersons@lu.lv; +371 25954818; 
https://www.geo.lu.lv/en/about-us/department-of-geology/)