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Initial value problems for quad equations

Version 2 2022-03-25, 05:54
Version 1 2022-03-23, 05:57
journal contribution
posted on 2022-03-25, 05:54 authored by Pieter Van Der KampPieter Van Der Kamp
We describe a method to construct well-posed initial value problems (IVPs) for not necessarily integrable equations on not necessarily simply connected quad-graphs. Although the method does not always provide a well-posed IVP (not all quad-graphs admit well-posed IVPs) it is effective in the class of rhombic embeddable quad-graphs.

Funding

This research has been supported by the Australian Research Council grant DP110100077, and the LaTrobe University Discipline Research Program for Mathematical & Computing Sciences.

History

Publication Date

2015-01-21

Journal

Journal of Physics A: Mathematical and Theoretical

Volume

48

Issue

6

Article Number

065204

Pagination

20p.

Publisher

IOP Publishing

ISSN

1751-8113

Rights Statement

© 2015 IOP Publishing Ltd

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