Computational archaeology describes computer-based analytical methods for the study of long-term human behaviour and behavioural evolution. As with other sub-disciplines that have prefixed 'computational' to their name, the term is reserved for methods that could not realistically be performed without the aid of a computer.
Feng Kang was a Chinese mathematician. He was elected an academician of the Chinese Academy of Sciences in 1980. After his death, the Chinese Academy of Sciences established the Feng Kang Prize in 1994 to reward young Chinese researchers who made outstanding contributions to computational mathematics.
Computational science, also known as scientific computing or scientific computation (SC), is a rapidly growing multidisciplinary field that uses advanced computing capabilities to understand and solve complex problems. It is an area of science which spans many disciplines, but at its core it involves the development of models and simulations to understand natural systems.
The Courant Institute of Mathematical Sciences (CIMS) is an independent division of New York University (NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. It is considered one of the leading and most prestigious mathematics schools and mathematical sciences research centers in the world. It is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972.
Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components, suggesting these different scales be treated differently, as in a Fourier analysis approach to multigrid. MG methods can be used as solvers as well as preconditioners.
Jonathan Richard Shewchuk is a Professor in Computer Science at the University of California, Berkeley.
Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science.
The Faculty of Mathematics and Computer Science is one of twelve faculties at the University of Heidelberg. It comprises the Institute of Mathematics, the Institute of Applied Mathematics, the School of Applied Sciences, and the Institute of Computer Science. The faculty maintains close relationships to the Interdisciplinary Center for Scientific Computing (IWR) and the Mathematics Center Heidelberg (MATCH). The first chair of mathematics was entrusted to the physician Jacob Curio in the year 1547.
Hans Georg Bock is a German university professor for mathematics and scientific computing. He has served as managing director of Interdisciplinary Center for Scientific Computing of Heidelberg University from 2005 to 2017. Before this, he had been vice managing director from 1993 to 2004. Hans Georg Bock is a member of the European Mathematical Society's committee for developing countries (CDC-EMS) and responsible member for the region of Asia therein.
hp-FEM is a general version of the finite element method (FEM), a numerical method for solving partial differential equations based on piecewise-polynomial approximations that employs elements of variable size (h) and polynomial degree (p). The origins of hp-FEM date back to the pioneering work of Ivo Babuška et al. who discovered that the finite element method converges exponentially fast when the mesh is refined using a suitable combination of h-refinements (dividing elements into smaller ones) and p-refinements. The exponential convergence makes the method a very attractive choice compared to most other finite element methods which only converge with an algebraic rate. The exponential convergence of the hp-FEM was not only predicted theoretically but also observed by numerous independent researchers.
Miodrag S. Petković is a mathematician and computer scientist. In 1991 he became a full professor of mathematics at the Faculty of Electronic Engineering, University of Niš in Serbia.
The following outline is provided as an overview of and topical guide to formal science:
Hans Petter Langtangen was a Norwegian scientist trained in mechanics and scientific computing. Langtangen was the Director of the Centre for Biomedical Computing, a Norwegian Center of Excellence hosted by Simula Research Laboratory. He was a Professor of Scientific Computing at the University of Oslo, and was Editor-in-Chief of SIAM Journal on Scientific Computing 2011–2015.
Aslak Tveito is a Norwegian scientist in the field of numerical analysis and scientific computing. Tveito is the Managing Director of the Simula Research Laboratory, a Norwegian research center owned by the Norwegian Government, and is Professor of Scientific Computing at the University of Oslo.
Vladimir P. Gerdt is a Russian mathematician and a full professor at the Joint Institute for Nuclear Research (JINR) where he is the head of the Group of Algebraic and Quantum Computations. His research interests are concentrated in computer algebra, symbolic and algebraic computations, algebraic and numerical analysis of nonlinear differential equations, polynomial equations, applications to mathematics and physics, and quantum computation with over 210 published articles.
Validated numerics, or rigorous computation, verified computation, reliable computation, numerical verification is numerics including mathematically strict error evaluation, and it is one field of numerical analysis. For computation, interval arithmetic is used, and all results are represented by intervals. Validated numerics were used by Warwick Tucker in order to solve the 14th of Smale's problems, and today it is recognized as a powerful tool for the study of dynamical systems.
Rolf Rannacher is a German mathematician and a professor of numerical analysis at Heidelberg University.
Joseph E. Oliger was an American computer scientist and professor at Stanford University. Oliger was the co-founder of the Science in Computational and Mathematical Engineering degree program at Stanford, and served as the director of the Research Institute for Advanced Computer Science.
