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
Autor*in: |
Cai, Haotao [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Schlagwörter: |
Second kind linear VIEs with weakly singular and highly oscillatory kernel |
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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. |
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Übergeordnetes Werk: |
Enthalten in: Journal of scientific computing - Springer US, 1986, 95(2023), 3 vom: 17. Apr. |
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Übergeordnetes Werk: |
volume:95 ; year:2023 ; number:3 ; day:17 ; month:04 |
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DOI / URN: |
10.1007/s10915-023-02180-y |
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Katalog-ID: |
OLC2134500336 |
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650 | 4 | |a Second kind linear VIEs with weakly singular and highly oscillatory kernel | |
650 | 4 | |a A fully discrete fractional spectral-Galerkin method | |
650 | 4 | |a An optimal convergence order | |
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10.1007/s10915-023-02180-y doi (DE-627)OLC2134500336 (DE-He213)s10915-023-02180-y-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Cai, Haotao verfasserin (orcid)0000-0002-0278-2945 aut An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 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. 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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. Second kind linear VIEs with weakly singular and highly oscillatory kernel A fully discrete fractional spectral-Galerkin method An optimal convergence order Enthalten in Journal of scientific computing Springer US, 1986 95(2023), 3 vom: 17. Apr. (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:95 year:2023 number:3 day:17 month:04 https://doi.org/10.1007/s10915-023-02180-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 95 2023 3 17 04 |
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10.1007/s10915-023-02180-y doi (DE-627)OLC2134500336 (DE-He213)s10915-023-02180-y-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Cai, Haotao verfasserin (orcid)0000-0002-0278-2945 aut An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 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. 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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. Second kind linear VIEs with weakly singular and highly oscillatory kernel A fully discrete fractional spectral-Galerkin method An optimal convergence order Enthalten in Journal of scientific computing Springer US, 1986 95(2023), 3 vom: 17. Apr. (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:95 year:2023 number:3 day:17 month:04 https://doi.org/10.1007/s10915-023-02180-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 95 2023 3 17 04 |
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10.1007/s10915-023-02180-y doi (DE-627)OLC2134500336 (DE-He213)s10915-023-02180-y-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Cai, Haotao verfasserin (orcid)0000-0002-0278-2945 aut An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 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. 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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. Second kind linear VIEs with weakly singular and highly oscillatory kernel A fully discrete fractional spectral-Galerkin method An optimal convergence order Enthalten in Journal of scientific computing Springer US, 1986 95(2023), 3 vom: 17. Apr. (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:95 year:2023 number:3 day:17 month:04 https://doi.org/10.1007/s10915-023-02180-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 95 2023 3 17 04 |
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10.1007/s10915-023-02180-y doi (DE-627)OLC2134500336 (DE-He213)s10915-023-02180-y-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Cai, Haotao verfasserin (orcid)0000-0002-0278-2945 aut An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 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. 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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. Second kind linear VIEs with weakly singular and highly oscillatory kernel A fully discrete fractional spectral-Galerkin method An optimal convergence order Enthalten in Journal of scientific computing Springer US, 1986 95(2023), 3 vom: 17. Apr. (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:95 year:2023 number:3 day:17 month:04 https://doi.org/10.1007/s10915-023-02180-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 95 2023 3 17 04 |
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10.1007/s10915-023-02180-y doi (DE-627)OLC2134500336 (DE-He213)s10915-023-02180-y-p DE-627 ger DE-627 rakwb eng 004 VZ 11 ssgn Cai, Haotao verfasserin (orcid)0000-0002-0278-2945 aut An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 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. 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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. Second kind linear VIEs with weakly singular and highly oscillatory kernel A fully discrete fractional spectral-Galerkin method An optimal convergence order Enthalten in Journal of scientific computing Springer US, 1986 95(2023), 3 vom: 17. Apr. (DE-627)129217549 (DE-600)56055-8 (DE-576)065121945 0885-7474 nnns volume:95 year:2023 number:3 day:17 month:04 https://doi.org/10.1007/s10915-023-02180-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 95 2023 3 17 04 |
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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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. © 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. |
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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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. © 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. |
abstract_unstemmed |
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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. At last, two numerical examples are provided to verify the efficiency of our proposed method. © 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. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2134500336</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230510162054.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230510s2023 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10915-023-02180-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2134500336</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10915-023-02180-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cai, Haotao</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-0278-2945</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© 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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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 efficient fully discrete spectral Galerkin method. The proposed algorithm reaches an optimal convergence order without the influence of the wave number. 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