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- W4298854575 abstract "We study the splitting scheme associated with the linear stochastic Cauchy problem dU(t) = AU(t) dt + dW(t), where A is the generator of an analytic C_0-semigroup S={S(t)} on a Banach space E and W={W(t)} is a Brownian motion with values in a fractional domain space E_b associated with A. We prove that if a,b,g,th ge 0 are such that g + th < 1 and max[0,(a-b+th)] + g < 1/2, then the approximate solutions U_n (where n is the number of time steps) converge to the solution U in the Holder space C^g([0,T];E_a), both in L^p-means and almost surely, with rate 1/n^th." @default.
- W4298854575 created "2022-10-02" @default.
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- W4298854575 date "2009-06-11" @default.
- W4298854575 modified "2023-09-29" @default.
- W4298854575 title "Convergence rates of the splitting scheme for parabolic linear stochastic Cauchy problems" @default.
- W4298854575 doi "https://doi.org/10.48550/arxiv.0906.2129" @default.
- W4298854575 hasPublicationYear "2009" @default.
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