000193609 001__ 193609
000193609 003__ CZ-ZdVUG
000193609 005__ 20190424102928.0
000193609 041__ $$aeng
000193609 040__ $$aABC039$$bcze
000193609 1001_ $$aHolota, Petr
000193609 24510 $$aAn open CL implementation of ellipdoidal harmonics
000193609 300__ $$a9 stran
000193609 5203_ $$aThe technology progress today makes it possible to treat most of the problems of physical geodesy by means of numerical arrangements hardly imaginable earlier. Nevertheless, considering an evaluation of spheroidal (spherical and ellipsoidal) harmonic functions in our typical tasks, we still observe a huge performance gap between our demands and capabilities of common CPUs. Methods used for calculating associated Legendre functions are mostly recursive and thus sequential. Therefore, it is challenging, but feasible, to arrange the processing of Legendre functions in a way that reduces memory utilisation and admits massive parallelism. Following this aim, we developed a streaming-parallel algorithm for computing oblate spheroidal harmonic functions and their derivatives. The algorithm is free of assumptions concerning the func-tion arguments, maximal degree/order or number of computation points and can be utilised on any data type, like a vector or scalar float, double or even integer numbers. Besides, it solves floating-point issues in the numerical treatment of Legendre functions. We demonstrate its Open Computing Language (OpenCL) implementation on a general-purpose graphics processing unit (GPGPU), which is ideal for its inexpensive computational power of some TFlops. Added performance benchmarks lead to the conclusion that our implementation on a single GPGPU device substantially outperforms recent multi-core CPUs, free of any precision penalty. Furthermore, thanks to the OpenCL standard, we can benefit from an excellent portability and scalability over heterogeneous parallel platforms. Let us note finally, that the topic presented is a matter of importance in many other application fields, not only in physical geodesy.
000193609 655_4 $$asbornikove prispevky
000193609 7001_ $$aNesvadba, Otakar
000193609 7730_ $$92015$$dBerlin:Springer-Verlag,2015.$$tVIII Hotine-Marussi Symposium on Mathematical Geodesy$$x0939-9585$$z978-3-319-24548-5
000193609 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002188%21RIV16-GA0-00025615
000193609 910__ $$aABC039
000193609 985__ $$adeleted