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Applied Numerical Mathematics, 2020
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IEEE Transactions on Magnetics, 2014
The discharge currents were evaluated and validated using the generalized energy method and the integral Ohm's law combined with the recently developed discharge analysis technique for dielectric liquid media, such as transformer oil. The terminal current in voltage-driven systems was found to play an essential role in characterizing the pattern of ...
Ho-Young Lee +4 more
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The discharge currents were evaluated and validated using the generalized energy method and the integral Ohm's law combined with the recently developed discharge analysis technique for dielectric liquid media, such as transformer oil. The terminal current in voltage-driven systems was found to play an essential role in characterizing the pattern of ...
Ho-Young Lee +4 more
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Physical Review A, 1988
The method of Bonham, Peacher, and Cox for computing molecular multicenter integrals for 1s Slater-type orbitals is generalized to include all states. This was possible by using B functions as basis functions which have the simplest structure under Fourier transformation, compared with other commonly used exponential-type orbitals (ETO's).
, Grotendorst, , Steinborn
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The method of Bonham, Peacher, and Cox for computing molecular multicenter integrals for 1s Slater-type orbitals is generalized to include all states. This was possible by using B functions as basis functions which have the simplest structure under Fourier transformation, compared with other commonly used exponential-type orbitals (ETO's).
, Grotendorst, , Steinborn
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International Journal of Quantum Chemistry, 1973
AbstractSlater orbital r12−1 integrals are calculated with a numerical Fourier‐transform method based on a formulation first given by Bonham, Peacher and Cox. Spherical wave expansions are introduced that decouple the Feynman integrations for the charge distribution Fourier transforms.
Ante Graovac +2 more
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AbstractSlater orbital r12−1 integrals are calculated with a numerical Fourier‐transform method based on a formulation first given by Bonham, Peacher and Cox. Spherical wave expansions are introduced that decouple the Feynman integrations for the charge distribution Fourier transforms.
Ante Graovac +2 more
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SIAM Journal on Scientific and Statistical Computing, 1983
In [M. H. Gutknecht, Numer. Math., 36 (1981), pp. 405–429] we investigated several iterative methods for solving discretized versions of Theodorsen's nonlinear integral equation. Here we present corresponding numerical experiments and discuss some related questions, such as the application of a continuation method, the evaluation of the approximate ...
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In [M. H. Gutknecht, Numer. Math., 36 (1981), pp. 405–429] we investigated several iterative methods for solving discretized versions of Theodorsen's nonlinear integral equation. Here we present corresponding numerical experiments and discuss some related questions, such as the application of a continuation method, the evaluation of the approximate ...
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Canadian Journal of Physics, 1998
From few simple and relatively well-known mathematical tools, an easily understandable, though powerful, method has been devised that gives many useful results about numerical functions. With mere Taylor expansions, Dirac delta functions and Fourier transform with its discrete counterpart, the DFT, we can obtain, from a digitized function, its ...
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From few simple and relatively well-known mathematical tools, an easily understandable, though powerful, method has been devised that gives many useful results about numerical functions. With mere Taylor expansions, Dirac delta functions and Fourier transform with its discrete counterpart, the DFT, we can obtain, from a digitized function, its ...
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Evaluation of integral transforms using special functions with applications to biological tissues
Computational and Applied Mathematics, 2021A Belafhal, S Chib, F Khannous
exaly
Transformations Useful in Numerical Integration Methods
Journal of the Society for Industrial and Applied Mathematics, 1959openaire +2 more sources
Quaternionic methods in integral transforms of geophysical interest
Geophysical Journal International, 1989B H J Mckellar, Foot R, Mckellar B H J
exaly