Electronic Supplementary Materials to " Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere " (original) (raw)

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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Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere

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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High resolution spherical and ellipsoidal harmonic expansions by Fast Fourier Transform

Christian Gruber

Studia Geophysica et Geodaetica, 2014

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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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The coordinate-free approach to spherical harmonics

Miguel Perez-Saborid

2008

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Fourier-series representation and projection of spherical harmonic functions

Jarin Park

Journal of Geodesy, 2012

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Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers

Toshio Fukushima

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Rectangular rotation of spherical harmonic expansion of arbitrary high degree and order

Toshio Fukushima

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Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers: III integral

Toshio Fukushima

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A simple approach to the transformation of spherical harmonic models under coordinate system rotation

Angelo De Santis

Geophysical Journal International, 1996

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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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Fast algorithms for spherical harmonic expansions, III

Vladimir Rokhlin

Journal of Computational Physics, 2010

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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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Recursive computation of oblate spheroidal harmonics of the second kind and their first-, second-, and third-order derivatives

Toshio Fukushima

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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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Conventional spherical harmonic analysis for regional modelling of the geomagnetic field

Angelo De Santis

Geophysical Research Letters, 1992

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FFT-based high-performance spherical harmonic transformation

Pavel Novák

Studia Geophysica et Geodaetica, 2011

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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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Spherical Harmonic Transforms Using Quadratures and Least Squares

J. A. Rod Blais

Lecture Notes in Computer Science, 2006

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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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Spherical harmonic analysis and model-limited extrapolation on the sphere: Integral equation formulation

Thushara Abhayapala

2008 2nd International Conference on Signal Processing and Communication Systems, 2008

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The Spherical Basis Function Method

Quoc Le Gia

SpringerBriefs in Mathematics, 2015

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A closed-form conversion from spherical-wave- to complex-point-source-expansion

Enrica Martini, S. Maci

Radio Science, 2011

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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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Optimization of Spherical Harmonic Transform Computations

J. A. Rod Blais

Lecture Notes in Computer Science, 2005

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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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An Improved Form for the Kaula Expansion of Orbit Local Spherical Harmonics PDF

Peter J Melvin

2007

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Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering

Michael Doschoris

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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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The Fast Rotation FunctionAppendices A Legendre Polynomials and Associated Legendre Functions

James Foadi

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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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Time Domain Sampling of the Radial Functions in Spherical Harmonics Expansions

Sascha Spors

IEEE Transactions on Signal Processing

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The “Cubed Sphere”: A New Method for the Solution of Partial Differential Equations in Spherical Geometry

Pier Stanislao Paolucci

Journal of Computational Physics, 1996

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Ju n 20 06 Spherical Harmonic Amplitudes From Grid Data

Mark Rupright

2006

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