Fast computation of complex error function of the real argument

S. V. Malko; S. S. Pavlov; K. K. Tretiak

Fast computation of complex error function of the real argument

S. V. Malko
, S. S. Pavlov
, K. K. Tretiak

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	76-79
Number of pages	4
Journal	Problems of Atomic Science and Technology
Volume	107
Issue number	1
State	Published - 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Radiation
Nuclear and High Energy Physics
Nuclear Energy and Engineering
General Materials Science

Cite this

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abstract = "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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AU - Malko, S. V.

AU - Pavlov, S. S.

AU - Tretiak, K. K.

PY - 2017

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85016111246

UR - https://www.scopus.com/pages/publications/85016111246#tab=citedBy

M3 - Article

AN - SCOPUS:85016111246

SN - 1682-9344

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EP - 79

JO - Problems of Atomic Science and Technology

JF - Problems of Atomic Science and Technology

IS - 1

ER -

Fast computation of complex error function of the real argument

Abstract

All Science Journal Classification (ASJC) codes

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