Parallel multiple blocked methods of Bickart type

Evgeniy A. Bashkow; Olga A. Dmitrieva; Nadiia H. Huskova; Magdalena Michalska; Yedilkhan Amirgaliyev

doi:10.1117/12.2536798

6 November 2019 Parallel multiple blocked methods of Bickart type

Evgeniy A. Bashkow, Olga A. Dmitrieva, Nadiia H. Huskova, Magdalena Michalska, Yedilkhan Amirgaliyev

Proceedings Volume 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019; 111761X (2019) https://doi.org/10.1117/12.2536798
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 2019, Wilga, Poland

Abstract

The article is devoted to the development and justification of parallel numerical simulation methods. Results can be obtained to calculate the number of points. To increase the order of approximation of the developed methods, the set of points of the reference block (s) is introduced into difference schemes. Generation of difference schemes for any reference and calculated points is considered. For some block sizes, generated differential calculation schemes are obtained, oriented to the number of available processes in a parallel implementation. The absolute stability of the constructed multi-step multipoint methods according to the initial conditions and the right side is proved.

Citation Download Citation

Evgeniy A. Bashkow, Olga A. Dmitrieva, Nadiia H. Huskova, Magdalena Michalska, and Yedilkhan Amirgaliyev "Parallel multiple blocked methods of Bickart type", Proc. SPIE 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 111761X (6 November 2019); https://doi.org/10.1117/12.2536798

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