The Experts below are selected from a list of 21963 Experts worldwide ranked by ideXlab platform
R. K. Jagpal - One of the best experts on this subject based on the ideXlab platform.
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On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function exp t 2 /4 � . The application of the Poisson summation formula is shown to reduce to that of the Fourier expan
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on the equivalence of Fourier Expansion and poisson summation formula for the series approximation of the exponential function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function $\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier Expansion method.
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high accuracy approximation of the complex probability function by Fourier Expansion of exponential multiplier
Computer Physics Communications, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract The real K ( x , y ) and imaginary L ( x , y ) parts of the complex probability function are approximated as rapidly convergent series, based on the Fourier Expansion of the exponential multiplier. This approach provides rapid and accurate calculations of the Voigt and complex error functions in the most challenging Humlicek regions 3 and 4.
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rapidly convergent series for high accuracy calculation of the voigt function
Journal of Quantitative Spectroscopy & Radiative Transfer, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract A rapidly convergent series, based on Fourier Expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The corresponding algorithm enables the rapid calculation, required for its implementation as a subprogram in an interpolation approach. The numerical analysis of this VF approximation suggests that it may be more accurate than 10−9 in the Humlicek regions 3 and 4.
Sanjar M Abrarov - One of the best experts on this subject based on the ideXlab platform.
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On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function exp t 2 /4 � . The application of the Poisson summation formula is shown to reduce to that of the Fourier expan
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on the equivalence of Fourier Expansion and poisson summation formula for the series approximation of the exponential function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function $\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier Expansion method.
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high accuracy approximation of the complex probability function by Fourier Expansion of exponential multiplier
Computer Physics Communications, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract The real K ( x , y ) and imaginary L ( x , y ) parts of the complex probability function are approximated as rapidly convergent series, based on the Fourier Expansion of the exponential multiplier. This approach provides rapid and accurate calculations of the Voigt and complex error functions in the most challenging Humlicek regions 3 and 4.
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rapidly convergent series for high accuracy calculation of the voigt function
Journal of Quantitative Spectroscopy & Radiative Transfer, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract A rapidly convergent series, based on Fourier Expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The corresponding algorithm enables the rapid calculation, required for its implementation as a subprogram in an interpolation approach. The numerical analysis of this VF approximation suggests that it may be more accurate than 10−9 in the Humlicek regions 3 and 4.
A J M Ferreira - One of the best experts on this subject based on the ideXlab platform.
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stability and accuracy of three Fourier Expansion based strong form finite elements for the free vibration analysis of laminated composite plates
International Journal for Numerical Methods in Engineering, 2017Co-Authors: Nicholas Fantuzzi, Francesco Tornabene, Michele Bacciocchi, A M A Neves, A J M FerreiraAbstract:Summary In the present paper, strong form finite elements are employed for the free vibration study of laminated arbitrarily shaped plates. In particular, the stability and accuracy of three different Fourier Expansion-based differential quadrature techniques are shown. These techniques are used to solve the partial differential system of equations inside each computational element. The three approaches are called harmonic differential quadrature, Fourier differential quadrature and improved Fourier Expansion-based differential quadrature methods. The improved Fourier Expansion-based differential quadrature method implements auxiliary functions in order to approximate functional derivatives up to the fourth order, with respect to the Fourier differential quadrature method that has a basis made of sines and cosines. All the present applications are related to literature comparisons and the presentation of new results for further investigation within the same topic. A study of such kind has never been proposed in the literature, and it could be useful as a reference for future investigation in this matter. Copyright © 2016 John Wiley & Sons, Ltd.
Brendan M. Quine - One of the best experts on this subject based on the ideXlab platform.
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On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function exp t 2 /4 � . The application of the Poisson summation formula is shown to reduce to that of the Fourier expan
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on the equivalence of Fourier Expansion and poisson summation formula for the series approximation of the exponential function
arXiv: Classical Analysis and ODEs, 2012Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:In this short note we show the equivalence of Fourier Expansion and Poisson summation approaches for the series approximation of the exponential function $\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier Expansion method.
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high accuracy approximation of the complex probability function by Fourier Expansion of exponential multiplier
Computer Physics Communications, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract The real K ( x , y ) and imaginary L ( x , y ) parts of the complex probability function are approximated as rapidly convergent series, based on the Fourier Expansion of the exponential multiplier. This approach provides rapid and accurate calculations of the Voigt and complex error functions in the most challenging Humlicek regions 3 and 4.
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rapidly convergent series for high accuracy calculation of the voigt function
Journal of Quantitative Spectroscopy & Radiative Transfer, 2010Co-Authors: Sanjar M Abrarov, Brendan M. Quine, R. K. JagpalAbstract:Abstract A rapidly convergent series, based on Fourier Expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The corresponding algorithm enables the rapid calculation, required for its implementation as a subprogram in an interpolation approach. The numerical analysis of this VF approximation suggests that it may be more accurate than 10−9 in the Humlicek regions 3 and 4.
Nicholas Fantuzzi - One of the best experts on this subject based on the ideXlab platform.
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stability and accuracy of three Fourier Expansion based strong form finite elements for the free vibration analysis of laminated composite plates
International Journal for Numerical Methods in Engineering, 2017Co-Authors: Nicholas Fantuzzi, Francesco Tornabene, Michele Bacciocchi, A M A Neves, A J M FerreiraAbstract:Summary In the present paper, strong form finite elements are employed for the free vibration study of laminated arbitrarily shaped plates. In particular, the stability and accuracy of three different Fourier Expansion-based differential quadrature techniques are shown. These techniques are used to solve the partial differential system of equations inside each computational element. The three approaches are called harmonic differential quadrature, Fourier differential quadrature and improved Fourier Expansion-based differential quadrature methods. The improved Fourier Expansion-based differential quadrature method implements auxiliary functions in order to approximate functional derivatives up to the fourth order, with respect to the Fourier differential quadrature method that has a basis made of sines and cosines. All the present applications are related to literature comparisons and the presentation of new results for further investigation within the same topic. A study of such kind has never been proposed in the literature, and it could be useful as a reference for future investigation in this matter. Copyright © 2016 John Wiley & Sons, Ltd.