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 | Israeli |
| 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]
References edit
- ^ "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, Bibcode:1983JCoPh..49..357H, doi:10.1016/0021-9991(83)90136-5, hdl:2060/19830002586
- ^ 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, Bibcode:1987JCoPh..71..231H, 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, Bibcode:1997JCoPh.131....3H, 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