Ami Harten
Encyclopedia
Amiram Harten was an American
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...

/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
Total variation diminishing
In numerical methods, total variation diminishing is a property of certain discretization schemes used to solve hyperbolic partial differential equations...

 scheme, which gives an oscillation free solution for flow with shocks
Shock wave
A shock wave is a type of propagating disturbance. Like an ordinary wave, it carries energy and can propagate through a medium or in some cases in the absence of a material medium, through a field such as the electromagnetic field...

.

In 1980s, Harten along with Björn Engquist
Björn Engquist
Björn Engquist has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians.He received his Ph.D...

, Stanley Osher
Stanley Osher
Stanley Osher is an American mathematician, known for his many contributions in shock capturing, level set methods, and PDE-based methods in computer vision and image processing...

, 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
Journal of Computational Physics
The Journal of Computational Physics is a bimonthly scientific journal covering computational physics that was established in 1966 and is published by Elsevier. As of 2011, its editor-in-chief is Gretar Tryggvason . According to the Journal Citation Reports, the journal has a 2010 impact factor of...

, in 1987
and is one of the most cited papers in the field of scientific computing. It was republished in 1997 in the same journal. Harten is listed as an ISI highly cited researcher
ISI highly cited researcher
ISI Highly Cited is a database of "highly cited researchers"—scientific researchers whose publications are most often cited in academic journals over the past decade, published by the Institute for Scientific Information...

.

In 1990 Harten gave a talk on "Recent developments in shock-capturing schemes" at the International Congress of Mathematicians
International Congress of Mathematicians
The International Congress of Mathematicians is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union ....

in Kyoto.

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