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Abstract: We prove that a sequence of averaged quantities $\int_{\R^m}h_n(x,p)\rho(p)dp$, $n\in \N$, is strongly precompact in $L^1_{loc}(\R^d)$, where $\rho\in C_0(\R^m)$, and $h_n\in L^p(\R^d\times ...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...