Fast computation of complex error function of the real argument
A new efficient technique for evaluation of complex error function of the real argument on the base of the Euler-Maclaurin formula and a non-singular formula for the principal value of the Cauchy integral is given. . It is demonstrated that for the real values of argument, which are most “expensive”...
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| Date: | 2017 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2017
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| Series: | Вопросы атомной науки и техники |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/122121 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Fast computation of complex error function of the real argument / S.V. Malko, S.S. Pavlov, K.K. Tretiak // Вопросы атомной науки и техники. — 2017. — № 1. — С. 76-79. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A new efficient technique for evaluation of complex error function of the real argument on the base of the Euler-Maclaurin formula and a non-singular formula for the principal value of the Cauchy integral is given. . It is demonstrated that for the real values of argument, which are most “expensive” in the computational time, the new algorithm is almost two times faster than algorithm 680 with the same accuracy. The code was successfully implemented to ray tracing code that is used for application for investigation of ICR plasma heating in JET-type tokamaks. |
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