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| S. Osher | |
|---|---|
| Name | S. Osher |
| Fields | Applied Mathematics, Computational Physics, Numerical Analysis |
| Workplaces | University of California, Los Angeles, University of California, Berkeley, California Institute of Technology |
| Alma mater | University of California, Los Angeles, California Institute of Technology |
| Known for | Level set methods, Hamilton–Jacobi equations, imaging science |
S. Osher is an American applied mathematician noted for foundational work in numerical analysis, computational methods for partial differential equations, and imaging science. He is widely recognized for developing level set methods and high-resolution schemes that influenced research across computational fluid dynamics, computer vision, and materials science. His career spans appointments at major institutions and collaborations with leading scientists in mathematics, physics, and engineering.
Osher was born in the United States and received his undergraduate and graduate training at institutions including University of California, Los Angeles and California Institute of Technology. During his formative years he was influenced by figures associated with Institute for Advanced Study, Princeton University, and research groups connected to National Science Foundation initiatives. His doctoral work built on methods from researchers at Stanford University, Massachusetts Institute of Technology, and the University of Chicago, aligning with developments in numerical solutions of the Hamilton–Jacobi equation and conservation laws studied at Courant Institute of Mathematical Sciences.
Osher held faculty positions and visiting appointments at University of California, Los Angeles, University of California, Berkeley, and collaborated extensively with scholars at California Institute of Technology, Harvard University, New York University, and University of California, San Diego. He established research groups that connected to projects funded by the National Science Foundation, Department of Energy, and industry partners including collaborations with teams at IBM and Bell Labs. Osher has mentored students who later joined faculties at Columbia University, University of Michigan, University of Texas at Austin, and institutions across Europe and Asia.
Osher's research advanced numerical schemes for nonlinear partial differential equations and produced algorithms central to computational physics and imaging. He co-developed level set methods used in studies at Los Alamos National Laboratory, Argonne National Laboratory, and applied in simulations by researchers at Sandia National Laboratories and NASA. His contributions to high-resolution shock-capturing schemes drew on and influenced work from Richard Courant, Kurt Friedrichs, and contemporaries at New York University and California Institute of Technology. Osher's methods intersected with research on the Hamilton–Jacobi equation, conservation laws researched at Courant Institute of Mathematical Sciences, and upwinding techniques developed in collaboration with scholars affiliated with Stanford University and Massachusetts Institute of Technology.
Osher's innovations in imaging science integrated variational methods from researchers at Paris-Sorbonne University, École Polytechnique, and techniques used in medical imaging at Mayo Clinic and Johns Hopkins University. Level set approaches have been applied in work by teams at MIT Lincoln Laboratory, Siemens, and groups studying interface dynamics at Princeton University and University of California, Santa Barbara. His collaborations often bridged applied mathematics with computational geometry efforts at Carnegie Mellon University and computer vision research at University of Oxford and University of Cambridge.
Osher authored and coauthored influential papers and books that are widely cited in numerical analysis and applied mathematics. Notable works include foundational articles on level set methods and numerical Hamilton–Jacobi solvers published alongside researchers from Courant Institute of Mathematical Sciences, University of California, Berkeley, and California Institute of Technology. His publications have appeared in journals associated with American Mathematical Society, Society for Industrial and Applied Mathematics, and proceedings from conferences at Institute of Electrical and Electronics Engineers and International Congress of Mathematicians.
Osher received recognition from professional societies including fellowships and prizes awarded by Society for Industrial and Applied Mathematics, American Mathematical Society, and honors connected to the National Academy of Sciences and National Academy of Engineering. He has been invited to deliver lectures at venues such as Institute for Advanced Study, Royal Society, and international conferences organized by International Association for Computational Mechanics and European Mathematical Society.
Osher's legacy endures through algorithms, software libraries, and a school of research that continues at institutions like University of California, Los Angeles, Courant Institute of Mathematical Sciences, and research centers at Los Alamos National Laboratory. His students and collaborators hold positions at Princeton University, Harvard University, Stanford University, and industry labs including Google and Microsoft Research, continuing applications of his methods in fields ranging from computer vision research groups at Carnegie Mellon University to modeling efforts at Lawrence Berkeley National Laboratory.
Category:American mathematicians Category:Numerical analysts