Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics, numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.
James Hardy Wilkinson FRS was a prominent figure in the field of numerical analysis, a field at the boundary of applied mathematics and computer science particularly useful to physics and engineering.
Jack Joseph Dongarra is an American computer scientist and mathematician. He is the American University Distinguished Professor of Computer Science in the Electrical Engineering and Computer Science Department at the University of Tennessee. He holds the position of a Distinguished Research Staff member in the Computer Science and Mathematics Division at Oak Ridge National Laboratory, Turing Fellowship in the School of Mathematics at the University of Manchester, and is an adjunct professor and teacher in the Computer Science Department at Rice University. He served as a faculty fellow at the Texas A&M University Institute for Advanced Study (2014–2018). Dongarra is the founding director of the Innovative Computing Laboratory at the University of Tennessee. He was the recipient of the Turing Award in 2021.
In mathematics, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system.
Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific society devoted to applied mathematics, and roughly two-thirds of its membership resides within the United States. Founded in 1951, the organization began holding annual national meetings in 1954, and now hosts conferences, publishes books and scholarly journals, and engages in advocacy in issues of interest to its membership. Members include engineers, scientists, and mathematicians, both those employed in academia and those working in industry. The society supports educational institutions promoting applied mathematics.
Achiezer Brandt is an Israeli mathematician, noted for his pioneering contributions to multigrid methods.
Lloyd Nicholas Trefethen is an American mathematician, professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.
Germund Dahlquist was a Swedish mathematician known primarily for his early contributions to the theory of numerical analysis as applied to differential equations.
Nicholas John Higham FRS was a British numerical analyst. He was Royal Society Research Professor and Richardson Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester.
Computational mathematics is an area of mathematics devoted to the interaction between mathematics and computer computation.
The James H. Wilkinson Prize for Numerical Software is awarded every four years to honor outstanding contributions in the field of numerical software. The award is named to commemorate the outstanding contributions of James H. Wilkinson in the same field.
David E. Keyes is a Senior Associate to the President of King Abdullah University of Science and Technology (KAUST) and the Director of the Extreme Computing Center at King Abdullah University of Science and Technology (KAUST). He was the inaugural Dean of the Division of Computer, Electrical, and Mathematical Sciences and Engineering (CEMSE) at KAUST and remains an adjunct professor in Applied Physics and Applied Mathematics at Columbia University and an affiliate of several laboratories of the U.S. Department of Energy. With backgrounds in engineering, applied mathematics, and computer science, he works at the algorithmic interface between parallel computing and the numerical analysis of partial differential equations, across a spectrum of aerodynamic, geophysical, and chemically reacting flows.
David M. Young Jr. was an American mathematician and computer scientist who was one of the pioneers in the field of modern numerical analysis/scientific computing.
Phillip Colella is an American applied mathematician and a member of the Applied Numerical Algorithms Group at the Lawrence Berkeley National Laboratory. He has also worked at Lawrence Livermore National Laboratory. He is known for his fundamental contributions in the development of mathematical methods and numerical tools used to solve partial differential equations, including high-resolution and adaptive mesh refinement schemes. Colella is a member of the US National Academy of Sciences.
James Weldon Demmel Jr. is an American mathematician and computer scientist, the Dr. Richard Carl Dehmel Distinguished Professor of Mathematics and Computer Science at the University of California, Berkeley.
Michael Alan Saunders is an American numerical analyst and computer scientist. He is a research professor of Management Science and Engineering at Stanford University. Saunders is known for his contributions to numerical linear algebra and numerical optimization and has developed many widely used software packages, such as MINOS, NPSOL, and SNOPT.
Marsha J. Berger is an American computer scientist. Her areas of research include numerical analysis, computational fluid dynamics, and high-performance parallel computing. She is a Silver Professor (emeritus) of Computer Science and Mathematics in the Courant Institute of Mathematical Sciences of New York University. She is Group Leader of Modeling and Simulation in the Center for Computational Mathematics at the Flatiron Institute.
C. William Gear was a British-American mathematician who specialized in numerical analysis and computer science. Gear was an American citizen.
Lois Virginia Curfman McInnes is an American applied mathematician who works as a senior computational scientist at Argonne National Laboratory, where she works on the numerical solution of nonlinear partial differential equations for scientific applications.
The AWM-SIAM Sonia Kovalevsky Lecture is an award and lecture series that "highlights significant contributions of women to applied or computational mathematics." The Association for Women in Mathematics (AWM) and the Society for Industrial and Applied Mathematics (SIAM) planned the award and lecture series in 2002 and first awarded it in 2003. The lecture is normally given each year at the SIAM Annual Meeting. Award winners receive a signed certificate from the AWM and SIAM presidents.
