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368:. In the case of an Eikonal equation, the first method to do so was developed by Jon N. Tsitsiklis using a control-theoretic approach: followed shortly by Sethian's work on high-order finite-difference Dijkstra-like Fast Marching Methods. Ravikanth Malladi and Sethian pioneered the application of these techniques to image segmentation,
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in 2004, jointly awarded by the
Society for Industrial and Applied Mathematicians (SIAM) and the American Mathematical Society (AMS). This prize was awarded "for an outstanding contribution to applied mathematics in the highest and broadest sense." Sethian was honoured "for his seminal work on the
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Sethian has worked on numerical algorithms for tracking moving interfaces for over three decades, starting with his seminal 1982 work on curve and surface propagation in combustion, and his 1985 work on entropy conditions, curvature, stability of numerical algorithms. This work led to development of
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Jointly with D. Adalsteinsson, Sethian then introduced the idea of adaptivity to level set methods, in which computational labor is focused on the evolving front: their
Adaptive Narrow Band level set method and its variants are what makes level set methods efficient and practical, and are the most
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Algorithms based on the work of
Sethian and his colleagues are now commonly used throughout science and engineering. Examples include informing engineers how to design more precise ink jet plotters, allowing physicians to analyze brain and cardiac images, aiding oil companies in locating petroleum
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computer representation of the motion of curves, surfaces, interfaces, and wave fronts, and for his brilliant applications of mathematical and computational ideas to problems in science and engineering." Previous recipients include
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in 2011 for pioneering work, introducing applied mathematical methods and scientific computing techniques to an industrial problem area and new scientific fields of applications. Sethian was elected member of the
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These are numerical algorithms for tracking moving interfaces in complex situations, and have proved instrumental in a wide collection of applications, including semiconductor processing,
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Together with Sergey Fomel, Sethian invented Escape
Arrival Methods for computing multiple arrivals in wave propagation and geophysical imaging.
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in 2012 for the best paper published that year in engineering and applied sciences in that journal. In 2012 he became a fellow of the
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Level Set
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in 2008 for the development of efficient methods of tracking moving interfaces. He received the
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and
Sethian were the first to use them as fast wave solvers in geophysical seismic imaging.
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Sethian introduced them to robotic navigation and extended them to curved domains, and
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reserves, and telling process engineers how to build reliable computer chips.
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Fellows of the
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National Academy of Engineering
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in 2013. Sethian has acted as Interim Director Research at
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List of Fellows of the American Mathematical Society
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Sethian, in collaboration with Robert Saye, won the
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453:Proceedings of the National Academy of Sciences
296:National Institute of Standards and Technology
590:Advancing the science of advancing interfaces
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682:Fellows of the American Mathematical Society
628:in real-world medical imaging applications.
484:Level Set Methods and Fast Marching Methods
408:Norbert Wiener Prize in Applied Mathematics
667:University of California, Berkeley faculty
311:in 1988, which was developed jointly with
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657:University of California, Berkeley alumni
614:Sethian receives the Norbert Wiener Prize
69:Learn how and when to remove this message
292:National Center for Atmospheric Research
32:This article includes a list of general
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233:and the head of the Mathematics Group
241:Lawrence Berkeley National Laboratory
97:Photographed by Adalien Hulmer (2004)
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652:21st-century American mathematicians
647:20th-century American mathematicians
464:I.E. Block Community Lecture Prize.
238:United States Department of Energy's
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270:postdoctoral fellow, lastly at the
594:United States Department of Energy
460:. In addition he has received the
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535:Journal of Computational Physics
474:Vortex Methods and Vortex Motion
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404:National Academy of Engineering
280:National Academy of Engineering
119:Washington, D.C., United States
266:. Beginning in 1983, he was a
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609:Mathematics Genealogy Project
458:American Mathematical Society
288:Thinking Machines Corporation
284:National Academy of Sciences
662:Princeton University alumni
268:National Science Foundation
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366:Hamilton–Jacobi equations
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548:10.1006/jcph.2000.6581
254:and a M.A. (1978) and
16:American mathematician
362:Alexander Vladimirsky
355:Topology optimization
246:Sethian was born in
223:James Albert Sethian
151:Norbert Wiener Prize
133:Fast marching method
599:Sethian's home page
524:Sethian, James A.;
399:ICIAM Pioneer Prize
155:ICIAM Pioneer Prize
141:Applied mathematics
624:2008-10-28 at the
504:"James A. Sethian"
225:is a professor of
137:Image segmentation
526:Wiegmann, Andreas
511:math.berkeley.edu
332:materials science
328:computer graphics
272:Courant Institute
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163:Scientific career
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397:Sethian won the
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347:Level-set method
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264:Alexandre Chorin
248:Washington, D.C.
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672:1954 births
601:at Berkeley
227:mathematics
173:Mathematics
51:introducing
636:Categories
490:References
429:Tosio Kato
370:Ron Kimmel
109:1954-05-10
34:references
556:123080547
417:Peter Lax
276:Peter Lax
252:Princeton
211:Peter Lax
195:Princeton
622:Archived
528:(2000).
349:and the
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183:Berkeley
153:(2004),
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393:Awards
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157:(2011)
147:Awards
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552:S2CID
507:(PDF)
468:Books
462:SIAM
307:the
302:Work
256:Ph.D
103:Born
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