## Abel

swMATH ID: | 8942 |

Software Authors: | Israel Beniaminy; Moshe Deutsch |

Description: | ABEL: Stable, high accuracy program for the inversion of Abel’s integral equation. Nature of problem: Abel’s integral equation occurs in many fields of research. In particular, in flame and plasma diagnostics it relates the emission coefficient distribution function of optically thin cylindrically symmetric extended radiation source to the line-of-sight radiance measured in the laboratory. Thus, in order to obtain the physical information, which is the emission coefficient distribution function, one has to Abel-invert the measured radiance data. ... |

Homepage: | http://cpc.cs.qub.ac.uk/summaries/AAOK_v1_0.html |

Related Software: | |

Referenced in: | 5 Publications |

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### Referenced by 11 Authors

### Referenced in 5 Serials

1 | Applied Mathematics and Computation |

1 | Applied Numerical Mathematics |

1 | Journal of Mathematical Sciences (New York) |

1 | Applied Mathematical Sciences (Ruse) |

1 | International Journal of Analysis |

### Referenced in 2 Fields

5 | Integral equations (45-XX) |

5 | Numerical analysis (65-XX) |