James Sethian

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James Sethian

James Albert Sethian (born May 10, 1954 in Washington, DC ) is an American applied mathematician.

Sethian was in 1982 at the University of California, Berkeley , with Alexandre Chorin doctorate . He then worked as a post-doc with Peter Lax at the Courant Institute of Mathematical Sciences of New York University . From 1985 he was again an assistant professor in Berkeley, where he is now a professor. At the same time he headed the math group at the Lawrence Berkeley National Laboratory .

With Stanley Osher, Sethian pioneered the introduction of the level-set method for the description of moving surfaces and fronts, which he addressed, among other things, to the problem of waves breaking on beaches, tumor growth and image processing in medicine, for the shape of soap bubbles and Snowflakes, inkjet printers, and semiconductor manufacturing. He also looked at the inverse problem in seismology. With Adalsteinsson he developed adaptive methods for level set procedures that concentrate the numerical calculations on the expanding front (Adaptive Narrow Band Level Set Method).

Even before working with Osher, in the 1980s, he developed numerical methods for the expansion of front surfaces and curves, for example in combustion processes (topic of his dissertation in 1982).

With Alexander Vladimirsky, he developed Dijkstra-like fast marching methods for solving the Hamilton-Jacobi equation, with applications in image processing (with Ravikanth Malladi), propagation of seismic waves (with Mihai Popovici), and robot navigation (with Ron Kimmel 1996). With Sergey Fomel he developed Escape Arrival Methods in seismology.

In 1986 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). In 2008 he became a member of the National Academy of Engineering and in 2013 of the National Academy of Sciences . In 2004 he received the Norbert Wiener Prize for Applied Mathematics from SIAM and the American Mathematical Society . In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals). He is a fellow of the American Mathematical Society. From 2011 to 2014 Sethian Einstein was a visiting fellow at the Berlin Mathematical School .

Fonts

  • As editor with Karl E. Gustafson: Vortex Methods and Vortex Motion. Society for Industrial and Applied Mathematics, Philadelphia PA 1991, ISBN 0-89871-258-0 .
  • Level Set Methods. Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Sciences (= Cambridge Monographs on Applied and Computational Mathematics. 3). Cambridge University Press, Cambridge et al. 1996, ISBN 0-521-57202-9 (New edition 1999 as Level Set Methods and Fast Marching Methods. ).
  • Tracking interfaces with level sets. An "act of violence" helps solve evolving interface problems in geometry, fluid mechanics, robotic navigation and materials sciences. In: American Scientist . Vol. 85, No. 3, May / June 1997, pp. 254-263, JSTOR 27856778 .
  • Fast Marching Methods. In: SIAM Review. Volume 41, No. 2, 1999, pp. 199-235, doi : 10.1137 / S0036144598347059 .

Web links

Individual evidence

  1. ^ Stanley Osher , Sethian: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi Formulations. In: Journal of Computational Physics. Volume 79, No. 1, 1988, pp. 12-49, doi : 10.1016 / 0021-9991 (88) 90002-2 .
  2. ^ Maria Garzon, Sethian: Wave breaking over sloping beaches using a coupled boundary integral-level set method. In: Isabel N. Figueiredo, José F. Rodrigues, Lisa Santos (eds.): Free boundary problems. Theory and applications (= International Series of Numerical Mathematics. 154). Birkhäuser, Basel et al. 2007, ISBN 978-3-7643-7718-2 , pp. 189–198, doi : 10.1007 / 978-3-7643-7719-9_19 .
  3. ↑ Cosmina S. Hogea, Bruce T. Murray, Sethian: Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. In: Journal of Mathematical Biology. Volume 53, No. 1, 2006, pp. 86-134, doi : 10.1007 / s00285-006-0378-2 .
  4. ↑ Sethian, John Straint: Crystal Growth and Dendritic solidification. In: Journal of Computational Physics. Volume 98, No. 2, 1992, pp. 231-253, doi : 10.1016 / 0021-9991 (92) 90140-T .
  5. ↑ Sergey Fomel, Sethian: Fast-phase space computation of multiple arrivals. In: Proceedings of the National Academy of Sciences of the United States of America . Vol 99, No. 11, 2002, pp. 7329-7334, doi : 10.1073 / pnas.102476599 ; Maria K. Cameron, Sergey B. Fomel, Sethian: Seismic velocity estimation from time migration. In: Inverse Problems. Volume 23, No. 4, 2007, pp. 1329-1369, doi : 10.1088 / 0266-5611 / 23/4/001 .
  6. ^ Sethian, Alexander Vladimirsky: Fast methods for the eikonal and related Hamilton-Jacob equations on unstructured meshes. In: Proceedings of the National Academy of Sciences of the United States of America. Volume 97, No. 11, 2000, pp. 5699-5703, doi : 10.1073 / pnas.090060097 .
  7. ^ Sethian, Alexander Mihai Popovici: 3-D traveltime computation using the fast marching method. In: Geophysics. Volume 64, No. 2, 1999, pp. 516-523, doi : 10.1190 / 1.1444558 .
  8. ↑ James Sethian . In: Einstein Visiting Fellows. Einstein Foundation Berlin, accessed on May 23, 2018.
personal data
SURNAME Sethian, James
ALTERNATIVE NAMES Sethian, James Albert (full name)
BRIEF DESCRIPTION American applied mathematician
DATE OF BIRTH May 10, 1954
PLACE OF BIRTH Washington, DC