The Level-set method (LSM) is a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. LSM can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects. LSM makes it easier to perform computations on shapes with sharp corners and shapes that change topology. These characteristics make LSM effective for modeling objects that vary in time, such as an airbag inflating or a drop of oil floating in water.
Björn Engquist has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians.
Heinz-Otto Kreiss was a German mathematician in the fields of numerical analysis, applied mathematics, and what was the new area of computing in the early 1960s. Born in Hamburg, Germany, he earned his Ph.D. at Kungliga Tekniska Högskolan in 1959. Over the course of his long career, Kreiss wrote a number of books in addition to the purely academic journal articles he authored across several disciplines. He was professor at Uppsala University, California Institute of Technology and University of California, Los Angeles (UCLA). He was also a member of the Royal Swedish Academy of Sciences. At the time of his death, Kreiss was a Swedish citizen, living in Stockholm. He died in Stockholm in 2015, aged 85.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
James Albert Sethian is a professor of mathematics at the University of California, Berkeley and the head of the Mathematics Group at the United States Department of Energy's Lawrence Berkeley National Laboratory.
The International Council for Industrial and Applied Mathematics (ICIAM) is an organisation for professional applied mathematics societies and related organisations. The current (2020) President is Ya-xiang Yuan. The cash award for each of the prizes is 5000 USD.
Amiram Harten 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.
Chi-Wang Shu is the Theodore B. Stowell University Professor of Applied Mathematics at Brown University. He is known for his research in the fields of computational fluid dynamics, numerical solutions of conservation laws and Hamilton–Jacobi type equations. Shu has been listed as an ISI Highly Cited Author in Mathematics by the ISI Web of Knowledge.
Weinan E is a Chinese mathematician. He is known for his pathbreaking work in applied mathematics and machine learning. His academic contributions include novel mathematical and computational results in stochastic differential equations; design of efficient algorithms to compute multiscale and multiphysics problems, particularly those arising in fluid dynamics and chemistry; and pioneering work on the application of deep learning techniques to scientific computing. In addition, he has worked on multiscale modeling and the study of rare events.
Thomas Yizhao Hou is the Charles Lee Powell Professor of Applied and Computational Mathematics in the Department of Computing and Mathematical Sciences at the California Institute of Technology. He is known for his work in numerical analysis and mathematical analysis.
Eitan Tadmor is a distinguished university professor at the University of Maryland, College Park, known for his contributions to the theory and computation of PDEs with diverse applications to shock wave, kinetic transport, incompressible flows, image processing, and self-organized collective dynamics.
Carola-Bibiane Schönlieb is an Austrian mathematician who works in image processing and partial differential equations. She is a Fellow of Jesus College, Cambridge and Professor of Applied Mathematics in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. She is the author of the book Partial Differential Equation Methods for Image Inpainting, on methods for using the solutions to partial differential equations to fill in gaps in digital images.
Hitoshi Ishii, a Japanese mathematician, who is specialized in partial differential equations.
In numerical solution of differential equations, WENO methods are classes of high-resolution schemes. WENO are used in the numerical solution of hyperbolic partial differential equations. These methods were developed from ENO methods. The first WENO scheme was developed by Liu, Osher and Chan in 1994. In 1996, Guang-Sh and Chi-Wang Shu developed a new WENO scheme called WENO-JS. Nowadays, there are many WENO methods.
ENO methods are classes of high-resolution schemes in numerical solution of differential equations.
Hongkai Zhao is a Chinese mathematician and Ruth F. DeVarney Distinguished Professor of Mathematics at Duke University. He was formerly the Chancellor's Professor in the Department of Mathematics at the University of California, Irvine. He is known for his work in scientific computing, imaging and numerical analysis, such as the fast sweeping method for Hamilton-Jacobi equation and numerical methods for moving interface problems.
Luminița Aura Vese is a Romanian professor of mathematics at the University of California, Los Angeles, known for her research in image processing, including work on active contour models, level-set methods, image segmentation, and inpainting.
Joel Spruck is a mathematician, J. J. Sylvester Professor of Mathematics at Johns Hopkins University, whose research concerns geometric analysis and elliptic partial differential equations. He obtained his PhD from Stanford University with the supervision of Robert S. Finn in 1971.
Assyr Abdulle was a Swiss mathematician. He specialized in numerical mathematics.
Rémi Abgrall is a French applied mathematician. He is known for his contributions in computational fluid dynamics, numerical analysis of conservation laws, multiphase flow and Hamilton–Jacobi equations. He has been editor in chief of the Journal of Computational Physics since 2015 and is part of the editorial board of several international scientific journals. In 2014 he was invited speaker at the International Congress of Mathematics in Seoul. He is author of more than 100 scientific papers published in international scientific journals. He is editor of 4 books and author of one book on advanced topics concerning computational fluid dynamics, High-resolution scheme and conservation laws.
