3 papers
math.NA2026
Compact implicit high-resolution numerical scheme for multicomponent transport problems with Langmuir sorption
Dagmar Zakova, Peter Frolkovic
We present a compact implicit high-resolution finite volume scheme for one-dimensional multicomponent transport problems with nonlinear Langmuir sorption. The method combines a sec…
math.NA2025
Compact implicit high resolution numerical method for solving transport problems with sorption isotherms
Dagmar Zakova, Peter Frolkovic
This study investigates numerical methods to solve nonlinear transport problems characterized by various sorption isotherms with a focus on the Freundlich type of isotherms. We des…
math.NA2024
Numerical solution of two dimensional scalar conservation laws using compact implicit numerical schemes on Cartesian meshes
Peter Frolkovic, Dagmar Zakova
This paper deals with the numerical solution of conservation laws in the two dimensional case using a novel compact implicit time discretization that enables applications of fast a…