Compatible discretization methods for partial differential equations

Szegedi Tudományegyetem

Matematika Doktori Iskola

Krisztin Tibor

Van Leeuwen-Polner Mónika

matematika- és számítástudományok

The solution of partial differential equations is a core topic of
research within pure, applied and computational mathematics.
Fundamental properties of their discretization include accuracy,
stability, good convergence properties and the existence of efficient
computational algorithms. Compatible discretization methods are those
that inherit or mimic fundamental properties of the equations such as
topology, conservation, symmetries, positivity structures and maximum
principles. In this research, we aim to develop numerical algorithms
that preserve the underlying mathematical structure of some given
partial differential equations.

1 fő

University of Szeged, Faculty of Science and Informatics, Bolyai Institute

2018-05-31

angol

Stipendium Hungaricum