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Higher Order Approximations in the Heat Equation and the Truncated Moment Problem
2009
SIAM Journal on Mathematical Analysis
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In this paper we use linear combinations of n heat kernels to approximate solutions of the heat equation. In certain cases we are able to show that our approxi- For instance, for positive solutions of the heat equation such approximations are achieved using the theory of truncated moment problems. For general solutions of the heat equation, although approximations of this order is not guaranteed, a lower order approximation (e.g. of the order O(t ( 1 2p − n+1 2 ) ) ) is possible. These
doi:10.1137/08071778x
fatcat:3cggi3g6jnar5iqebzgl7zrd3y