Research in mathematical modelling and numerical analysis is conducted at the Mathematical Technologies Laboratory in the following directions:
- mathematical modelling,
- numerical mathematics and analysis,
- mathematical physics,
- numerical methods for differential equations,
- special finite-difference and averaging methods.
Leading researchers: Uldis Strautiņš, Harijs Kalis, Andris Buiķis, Maksims Marinaki.
Research in dynamic systems theory is conducted at the Laboratory of Ordinary Differential Equation in the following directions:
- non-linear boundary value problems,
- qualitative research of ordinary differential systems and their generalizations including in Banach space,
- linear and non-linear eigenvalue problems,
- dynamic equations on time scales,
- qualitative analysis of difference equations,
- equations in network regulatory theory.
Leading researchers: Andrejs Reinfelds, Felix Sadyrbaev, Svetlana Atslēga, Inese Bula, Natālija Sergejeva, Sergey Smirnov.
Research on many-valued mathematical structures is conducted at the at the Mathematical Technologies Laboratory in the following directions:
- Fuzzy logics, fuzzy transforms and fuzzy relational equations
- Lattice valued and quantale valued algebraic structures and topologies
- Rough sets, approximation systems and approximative spaces
Leading researchers: Aleksandrs Šostaks, Svetlana Asmuss, Ingrīda Uļjane.