A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis.
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| Title: | A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis. |
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| Authors: | Kong, Yong‐Dan1, Chu, Qing‐Xin1, Li, Rong‐Lin1 |
| Source: | Microwave & Optical Technology Letters. May2014, Vol. 56 Issue 5, p1031-1036. 6p. |
| Subjects: | Dispersion (Chemistry), Bandwidths, Finite difference time domain method, Numerical analysis, Error analysis in mathematics |
| Abstract: | ABSTRACT A compact fourth-order six-stages split-step finite-difference time-domain method is developed, which is based on the compact fourth-order scheme. The proposed method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the fourth-order scheme. Furthermore, the proposed method is proven to be unconditionally stable. The numerical dispersion error of this new approach is studied by comparison to the original second-order method and fourth-order method. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:1031-1036, 2014 [ABSTRACT FROM AUTHOR] |
| Copyright of Microwave & Optical Technology Letters is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 94857663 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kong%2C+Yong‐Dan%22">Kong, Yong‐Dan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Chu%2C+Qing‐Xin%22">Chu, Qing‐Xin</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Li%2C+Rong‐Lin%22">Li, Rong‐Lin</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Microwave+%26+Optical+Technology+Letters%22">Microwave & Optical Technology Letters</searchLink>. May2014, Vol. 56 Issue 5, p1031-1036. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Dispersion+%28Chemistry%29%22">Dispersion (Chemistry)</searchLink><br /><searchLink fieldCode="DE" term="%22Bandwidths%22">Bandwidths</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+time+domain+method%22">Finite difference time domain method</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: ABSTRACT A compact fourth-order six-stages split-step finite-difference time-domain method is developed, which is based on the compact fourth-order scheme. The proposed method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the fourth-order scheme. Furthermore, the proposed method is proven to be unconditionally stable. The numerical dispersion error of this new approach is studied by comparison to the original second-order method and fourth-order method. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:1031-1036, 2014 [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Microwave & Optical Technology Letters is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/mop.28259 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1031 Subjects: – SubjectFull: Dispersion (Chemistry) Type: general – SubjectFull: Bandwidths Type: general – SubjectFull: Finite difference time domain method Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Error analysis in mathematics Type: general Titles: – TitleFull: A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kong, Yong‐Dan – PersonEntity: Name: NameFull: Chu, Qing‐Xin – PersonEntity: Name: NameFull: Li, Rong‐Lin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 08952477 Numbering: – Type: volume Value: 56 – Type: issue Value: 5 Titles: – TitleFull: Microwave & Optical Technology Letters Type: main |
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