Thesis supervisor: Róbert Horváth
Location of studies (in Hungarian): Department of Analysis, Institute of Mathematics, BME Abbreviation of location of studies: BME
Description of the research topic:
Partial differential equations frequently serve as mathematical models of real-life phenomena (e.g. in the case of physical, chemical, biological and economic processes). It is important that the approximate solutions obtained with numerical techniques should possess the characteristic qualitative properties of the original phenomenon. This requirement generally gives some restrictions for the adequate discretization of the problem.
The goal of the research is to investigate the qualitative properties of linear and nonlinear parabolic partial differential equations. Sufficient conditions are to be deduced for the model parameters, for the discrete mesh structures and for the time step that guarantee the validity of the qualitative properties. The research can be extended to the mathematical models of processes that are closer to the interest of the applicant.
The theoretical results are to be verified on numerical test problems.
Required language skills: english Further requirements: Standard courses on partial differential equations and on their numerical
solutions, programming skills in Matlab.
Number of students who can be accepted: 1
Deadline for application: 2018-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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