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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Discrete Darboux polynomials and the preservation of measure and integrals of ordinary differential equations
Discrete Darboux polynomials and the preservation of measure and integrals of ordinary differential equationsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact INI IT. This talk has been canceled/deleted Preservation of phase space volume (or more generally measure), first integrals (such as energy), and second integrals have been important topics in geometric numerical integration for more than a decade, and methods have been developed to preserve each of these properties separately. Preserving two or more geometric properties simultaneously, however, has often been difficult, if not impossible. Then it was discovered that Kahan’s ‘unconventional’ method seems to perform well in many cases [1]. Kahan himself, however, wrote: “I have used these unconventional methods for 24 years without quite understanding why they work so well as they do, when they work.” The first approximation to such an understanding in computational terms was: Kahan’s method works so well because This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
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