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.
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.)
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  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>
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  Data: <searchLink fieldCode="JN" term="%22Microwave+%26+Optical+Technology+Letters%22">Microwave & Optical Technology Letters</searchLink>. May2014, Vol. 56 Issue 5, p1031-1036. 6p.
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  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>
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  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]
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  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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        Value: 10.1002/mop.28259
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      – Code: eng
        Text: English
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        PageCount: 6
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    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
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      – TitleFull: A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis.
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            NameFull: Kong, Yong‐Dan
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            NameFull: Chu, Qing‐Xin
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              M: 05
              Text: May2014
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              Y: 2014
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