# Ami Harten

**Amiram Harten** (1946 – 1994) was an American/Israeli applied mathematician. Harten made fundamental contribution to the development of high-resolution schemes for the solution of hyperbolic partial differential equations. Among other contributions, he developed the total variation diminishing scheme, which gives an oscillation free solution for flow with shocks.^{[2]}

Amiram Harten | |
---|---|

Born | 1946^{[1]} |

Died | 1994 |

Nationality | Israel |

Alma mater | New York University |

Known for | TVD scheme ENO scheme Shock capturing schemes |

Scientific career | |

Fields | Applied Mathematics |

Institutions | Tel Aviv University, UCLA |

Doctoral advisor | Peter Lax |

In 1980s, Harten along with Björn Engquist, Stanley Osher, and Sukumar R. Chakravarthy developed the essentially non-oscillatory (ENO) schemes. The article on ENO, titled, *Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III* was published in Journal of Computational Physics, in 1987 ^{[3]}
and is one of the most cited papers in the field of scientific computing. It was republished in 1997 in the same journal.^{[4]} Harten is listed as an ISI highly cited researcher.^{[5]}

In 1990 Harten gave a talk on "Recent developments in shock-capturing schemes" at the International Congress of Mathematicians in Kyoto.^{[6]}

## ReferencesEdit

**^**"Amiram Harten - Curriculum Vitae" (PDF). Archived from the original (PDF) on 13 April 2014. Retrieved 9 April 2014.**^**Harten, Ami (1983), "High resolution schemes for hyperbolic conservation laws",*J. Comput. Phys.*,**49**(2): 357–393, doi:10.1006/jcph.1997.5713**^**Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. (1987), "Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III",*J. Comput. Phys.*,**71**(2): 231–303, doi:10.1016/0021-9991(87)90031-3**^**Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. (1997), "Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III",*J. Comput. Phys.*,**131**(1): 3–47, doi:10.1006/jcph.1996.5632**^**Thomson ISI,*Harten, Amiram, ISI Highly Cited Researchers*, retrieved 2009-06-20**^**Harten, Ami (1991), "Recent developments in shock-capturing schemes",*Proceedings of the International Congress of Mathematicians, (Kyoto, 1990)*,**II**: 1549–1559