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Stability of the difference type methods for linear Volterra equations in Hilbert spaces

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Abstract

We study the stability of backward difference timestepping method for linear Volterra equations of scalar type in a Hilbert space framework. The results and methods extend and simulate numerically those introduced by Prüss for integrability with respect to continuous solutions.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Xu Da

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  1. Xu Da
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Correspondence to Xu Da.

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This work was supported in part by the National Natural Science Foundation of China, contract grant number 10271046.

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Da, X. Stability of the difference type methods for linear Volterra equations in Hilbert spaces. Numer. Math. 109, 571–595 (2008). https://doi.org/10.1007/s00211-008-0151-0

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  • DOI: https://doi.org/10.1007/s00211-008-0151-0

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