3 papers
math.NA2025
Unconditionally local bounds preserving numerical scheme based on inverse Lax-Wendroff procedure for advection on networks
Peter Frolkovič, Svetlana Krišková, Katarína Lacková
We derive an implicit numerical scheme for the solution of advection equation where the roles of space and time variables are exchanged using the inverse Lax-Wendroff procedure. Th…
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.NA2018
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids
Peter Frolkovič, Karol Mikula
A new parametric class of semi-implicit numerical schemes for a level set advection equation on Cartesian grids is derived and analyzed. An accuracy and a stability study is provid…