Initial value problems for Discrete Integrable Systems

Duration: 33 mins 46 secs

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Description:	Van der Kamp, P (La Trobe University) Thursday 11 July 2013, 11:00-11:30


Created:	2013-07-15 17:27
Collection:	Discrete Integrable Systems
Publisher:	Isaac Newton Institute
Copyright:	Van der Kamp, P
Language:	eng (English)


Abstract:	Initial value problems for quad graphs. We describe a method to construct well-posed initial value problems for not necessarily integrable equations on not necessarily simply connected quad-graphs. Although the method does not always provide a well-posed initial value problem (not all quad-graphs admit well-posed initial value problems) it is effective in the class of rhombic embeddable quad-graphs.

Abstract:

Initial value problems for quad graphs. We describe a method to construct well-posed initial value problems for not necessarily integrable equations on not necessarily simply connected quad-graphs. Although the method does not always provide a well-posed initial value problem (not all quad-graphs admit well-posed initial value problems) it is effective in the class of rhombic embeddable quad-graphs.

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