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2016 | OriginalPaper | Chapter

Parallel Computation of Normalized Legendre Polynomials Using Graphics Processors

Authors : Konstantin Isupov, Vladimir Knyazkov, Alexander Kuvaev, Mikhail Popov

Published in: Supercomputing

Publisher: Springer International Publishing

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Abstract

To carry out some calculations in physics and Earth sciences, for example, to determine spherical harmonics in geodesy or angular momentum in quantum mechanics, it is necessary to compute normalized Legendre polynomials. We consider the solution to this problem on modern graphics processing units, whose massively parallel architectures allow to perform calculations for many arguments, orders and degrees of polynomials simultaneously. For higher degrees of a polynomial, computations are characterized by a considerable spread in numerical values and lead to overflow and/or underflow problems. In order to avoid such problems, support for extended-range arithmetic has been implemented.

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Metadata
Title
Parallel Computation of Normalized Legendre Polynomials Using Graphics Processors
Authors
Konstantin Isupov
Vladimir Knyazkov
Alexander Kuvaev
Mikhail Popov
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-55669-7_14

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