Ami Harten

Israeli mathematician

Amiram Harten, a mathematician focused on applied mathematics, died in 1994 at the age of 48. His career centered on the development of high-resolution schemes for hyperbolic partial differential equations, a field where his research findings remain active references in scientific computing. He held citizenship in Israel throughout his life and professional tenure.

Academic Foundation and Appointments

Harten received his education at New York University. Following his studies, he served as a mathematician at two primary institutions: the University of California, Los Angeles, and Tel Aviv University. His research output from these positions placed him on the list of ISI highly cited researchers.

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Contributions to Hyperbolic Equations

The core of his work involved finding solutions for hyperbolic partial differential equations. He introduced the total variation diminishing scheme, a method designed to provide oscillation-free results when calculating fluid flow containing shocks. This methodology provided a framework for handling complex numerical problems in applied mathematics.

The Development of ENO Schemes

During the 1980s, Harten collaborated with Björn Engquist, Stanley Osher, and Sukumar R. Chakravarthy to create essentially non-oscillatory (ENO) schemes. These findings were detailed in the 1987 article, Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III, published in the Journal of Computational Physics. This paper became a foundational citation in scientific computing and saw republication in 1997.

Professional Recognition

In 1990, the international mathematical community acknowledged his work when he delivered a presentation titled Recent developments in shock-capturing schemes at the International Congress of Mathematicians held in Kyoto. This address highlighted the practical applications of his computational methods.

Fast facts

Questions readers ask

What were Ami Harten's primary research interests?

He focused on applied mathematics, specifically the development of high-resolution schemes to solve hyperbolic partial differential equations.

Which academic institutions employed Ami Harten?

He held positions at Tel Aviv University and the University of California, Los Angeles.

Achievements

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