An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels

Abstract In this paper, we construct an efficient spectral Galerkin method to deal with the classical second kind linear VIEs with weakly singular and highly oscillatory kernel. We first study the oscillation and singularity of the exact solution and then based on those results, we propose an effici...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Cai, Haotao [verfasserIn]

Format:

Artikel

Sprache:

Englisch

Erschienen:

2023

Schlagwörter:

Second kind linear VIEs with weakly singular and highly oscillatory kernel

A fully discrete fractional spectral-Galerkin method

An optimal convergence order

Anmerkung:

© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:

Enthalten in: Journal of scientific computing - Springer US, 1986, 95(2023), 3 vom: 17. Apr.

Übergeordnetes Werk:

volume:95 ; year:2023 ; number:3 ; day:17 ; month:04

Links:

Volltext

DOI / URN:

10.1007/s10915-023-02180-y

Katalog-ID:

OLC2134500336

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