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- W2099662641 abstract "We prove a posteriori error estimates of optimal order for linear Schrodinger-type equations in the L ∞(L 2)- and the L ∞(H 1)-norm. We discretize only in time by the Crank-Nicolson method. The direct use of the reconstruction technique, as it has been proposed by Akrivis et al. in [Math. Comput. 75 (2006) 511–531], leads to a posteriori upper bounds that are of optimal order in the L ∞(L 2)-norm, but of suboptimal order in the L ∞(H 1)-norm. The optimality in the case of L ∞(H 1)-norm is recovered by using an auxiliary initial- and boundary-value problem." @default.
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- W2099662641 date "2011-02-21" @default.
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- W2099662641 title "A posteriorierror analysis for the Crank-Nicolson method for linear Schrödinger equations" @default.
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- W2099662641 doi "https://doi.org/10.1051/m2an/2010101" @default.
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