Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Mathematik - Numerische Analysis (AMNA)


Bilateral German-Russian Project

HIsPANo: High-order iterative parabolic approximations for the nonlinear wave equations and their numerical implementation

Programme Forschungsaufenthalte für Hochschullehrer und Wissenschaftler financed by DAAD

(09/2017 - 11/2017)


The goal of our research project is the study of the iterative parabolic approximations for the nonlinear Helmholtz equation (NHE). This study is a natural continuation of the previous joint work where the iterative parabolic approximations for the linear Helmholtz equation were studied and the transparent boundary conditions (TBCs) for the coupled system of the parabolic equations (PEs) were developed.

This research study will be a natural combination of the ideas emerging from the recent papers of the Vladivostok research group and by M. Ehrhardt and significantly improved in his follow-up works. This combination of ideas can be successfully developed from the close collaboration in the framework of the proposed project.

Scientific Objectives

German team:

Russian team:

German institution:

Russian institution:

Publications related to the Project

[PeEh15a] P. Petrov, M. Ehrhardt,
On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation, accepted: Applied Mathematics Letters, 2015
[PeEh15b] P. Petrov, M. Ehrhardt,
Transparent boundary conditions for the hierarchies of high-order parabolic approximations , J. Comput. Phys. Vol. 313 (May 2016), 144-158.

Talks related to the Project

Posters related to the Project

Related Projects

University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group

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