original ) (raw )Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers
Toshio Fukushima
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Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers: II first-, second-, and third-order derivatives
Toshio Fukushima
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On computation and use of Fourier coefficients for associated Legendre functions
Christian Gruber
Journal of Geodesy, 2016
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Ultra-high degree spherical harmonic analysis and synthesis using extended-range arithmetic
Kurt Seitz
Journal of Geodesy, 2008
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Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere Toshio Fukushima
Toshio Fukushima
Journal of Geodesy, 2018
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Cartesian Expressions for Surface and Regular Solid Spherical Harmonics Using Binomial Coefficients and Its Use In the Evaluation of Multicenter Integrals
Telhat Ozdogan
Czechoslovak Journal of Physics, 2002
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The Triangular Properties of Associated Legendre Functions Using The Vectorial Addition Theorem For Spherical Harmonics
Rami Mehrem
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The Fast Rotation FunctionAppendices A Legendre Polynomials and Associated Legendre Functions
James Foadi
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The coordinate-free approach to spherical harmonics
Miguel Perez-Saborid
2008
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Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere
Toshio Fukushima
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Rectangular rotation of spherical harmonic expansion of arbitrary high degree and order
Toshio Fukushima
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New recurrence relations for spherical harmonic functions and their derivatives
Denis Winch
Physics of the Earth and Planetary Interiors, 1968
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Recursive Computation of Spherical Harmonic Rotation Coefficients of Large Degree
Ramani Duraiswami
Applied and Numerical Harmonic Analysis, 2015
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Fourier-series representation and projection of spherical harmonic functions
Jarin Park
Journal of Geodesy, 2012
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Vector spherical harmonics: Concepts and applications to the single centre expansion method
Nico Sanna
Computer Physics Communications, 2000
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Fast computation of sine/cosine series coe cients of associated Legendre function of arbitrary high degree and order
Toshio Fukushima
Journal of Geodetic Science, 2018
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Recursive computation of oblate spheroidal harmonics of the second kind and their first-, second-, and third-order derivatives
Toshio Fukushima
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Electronic Supplementary Materials to " Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere "
Toshio Fukushima
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An efficient routine for computing symmetric real spherical harmonics for high orders of expansion
Andrzej Kudlicki
Journal of Applied Crystallography, 2005
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A computational procedure for obtaining the poles of a spherical harmonic of order N; Application to the multipole expansion of electrostatic interaction
Mihaly Mezei
Journal of Computational Physics, 1976
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Conventional spherical harmonic analysis for regional modelling of the geomagnetic field
Angelo De Santis
Geophysical Research Letters, 1992
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Discrete Spherical Harmonic Transforms: Numerical Preconditioning and Optimization
J. A. Rod Blais
Lecture Notes in Computer Science, 2008
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High resolution spherical and ellipsoidal harmonic expansions by Fast Fourier Transform
Christian Gruber
Studia Geophysica et Geodaetica, 2014
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On hyperspherical associated Legendre functions: the extension of spherical harmonics to NN N
Luís Campos
2020
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Recursive computation of finite difference of associated Legendre functions
Toshio Fukushima
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The Spherical Basis Function Method
Quoc Le Gia
SpringerBriefs in Mathematics, 2015
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Fast algorithms for spherical harmonic expansions, III
Vladimir Rokhlin
Journal of Computational Physics, 2010
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Numerical computation of special functions with applications to physics
Steve V Joubert , Michael Shatalov
2008
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Efficient Evaluation of Ellipsoidal Harmonics for Potential Modeling
Matthew Knepley
arXiv: Numerical Analysis, 2017
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A new Fortran 90 program to compute regular and irregular associated Legendre functions
Klaus Bartschat
2010
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Numerical Integration over the n-Dimensional Spherical Shell
Donald Mustard
Mathematics of Computation, 1964
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An Improved Form for the Kaula Expansion of Orbit Local Spherical Harmonics PDF
Peter J Melvin
2007
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Eccentricity Functions in the Higher Degree and Order Sectorial Gravitational Harmonic Coefficients
Dr. Ioannis Haranas
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Comparison Among Three Harmonic Analysis Techniques on the Sphere and the Ellipsoid
Kurt Seitz
Journal of Applied Geodesy, 2014
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Expansion Formula for the Product of Two Normalized Associated Legendre Functions and Its Advantages In the Evaluation of Multicenter Integrals
Telhat Ozdogan
Matematicheskie Zametki, 2006
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