Amiram Harten (1946 – 1994) was an American/ Israeli

applied mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One ...

. Harten made fundamental contribution to the development of

high-resolution scheme High-resolution schemes are used in the numerical solution of partial differential equations where high accuracy is required in the presence of shocks or discontinuities. They have the following properties: *Second- or higher- order spatial accu ...

s for the solution of

hyperbolic partial differential equations In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n-1 derivatives. More precisely, the Cauchy problem can be ...

. Among other contributions, he developed the

total variation diminishing In numerical methods, total variation diminishing (TVD) is a property of certain discretization schemes used to solve hyperbolic partial differential equations. The most notable application of this method is in computational fluid dynamics. The conc ...

scheme, which gives an oscillation free solution for flow with shocks. In 1980s, Harten along with

Björn Engquist Björn Engquist (also ''Bjorn Engquist''; born 2 June 1945 in Stockholm) has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians. Life He received his PhD ...

Stanley Osher Stanley Osher (born April 24, 1942) 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. Osher is a professor at the University of ...

, 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 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 2015, its editor-in-chief is Rémi Abgrall (University of Zurich). According ...

, in 1987 and is one of the most cited papers in the field of

scientific computing Computational science, also known as scientific computing or scientific computation (SC), is a field in mathematics that uses advanced computing capabilities to understand and solve complex problems. It is an area of science that spans many dis ...

. It was republished in 1997 in the same journal. Harten is listed as an

ISI highly cited researcher The Institute for Scientific Information (ISI) was an academic publishing service, founded by Eugene Garfield in Philadelphia in 1956. ISI offered scientometric and bibliographic database services. Its specialty was citation indexing and analysis ...

. In 1990 Harten gave a talk on "Recent developments in shock-capturing schemes" at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renam ...

in Kyoto.

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* {{DEFAULTSORT:Harten, Ami 20th-century Israeli mathematicians 20th-century Israeli Jews American people of Israeli descent New York University alumni Numerical analysts University of California, Los Angeles faculty Tel Aviv University faculty 1946 births 1994 deaths