Efficient numerical method for reliable upper and lower bounds on homogenized parameters. - Liya Gaynutdinova; Martin Ladecký; Ales Nekvinda; Ivana Pultarová; Jan Zeman (CoRR, 2022)

Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra. - Liya Gaynutdinova; Martin Ladecký; Ivana Pultarová; Miloslav Vlasák; Jan Zeman (Numer. Linear Algebra Appl., 2024)

Symmetric positive definite convolutional network for surrogate modeling and optimization of modular structures. - Liya Gaynutdinova; Martin Doskár; Ivana Pultarová; Ondrej Rokos (Eng. Appl. Artif. Intell., 2025)