期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.523
出版社：Hindawi Publishing Corporation
摘要：A smoothing property in multistep backward difference method for a
linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse. By using the solutions computed by a multistep backward difference method for the parabolic problem, we introduce an
approximation scheme for time derivative. The nonsmooth data error estimate for the approximation of time derivative has been obtained.
