Difference Conservation Laws - a math approach

Duration: 23 mins 50 secs
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Description: Applied & Computational Analysis –Recorded 16/04/09 5:00-5:30pm INI gatehouse
Speaker: Timothy Grant
 
Created: 2009-06-25 13:48
Collection: Beyond Part III - Young Researchers in Mathematics 2009
Publisher: University of Cambridge
Copyright: A.C. Cullum Hanshaw
Language: eng (English)
Distribution: World     (downloadable)
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Director:  A Cullum-Hanshaw
Explicit content: No
Aspect Ratio: 4:3
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Abstract: Some of the most fundamental properties of PDEs are expressed as conservation laws; the same is true for partial difference equations. A fundamental question is the following: when are two conservation laws essentially different? For PDEs the answer is found by calculating a function called the characteristic however, until now, no such characteristic has been known for partial difference equations. This talk describes the problem, our search for a characteristic and the surprisingly simple solution. The talk will be accessible to a general applied maths audience; no specialist knowledge is assumed.
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