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Thesis topic proposal
 
Mónika Van Leeuwen-Polner
Tibor Krisztin
Compatible discretization methods for partial differential equations

THESIS TOPIC PROPOSAL

Institute: University of Szeged
mathematics and computing
Doctoral School of Mathematics

Thesis supervisor: Tibor Krisztin
co-supervisor: Mónika Van Leeuwen-Polner
Location of studies (in Hungarian): University of Szeged, Faculty of Science and Informatics, Bolyai Institute
Abbreviation of location of studies: MatDI


Description of the research topic:

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.

Required language skills: English
Further requirements: 
Stipendium Hungaricum

Number of students who can be accepted: 1

Deadline for application: 2018-05-31

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )