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Yingda Cheng (Chinese: 程颖达, born 1983) is a Chinese-American applied mathematician specializing in scientific computation and numerical analysis, including Galerkin methods for the computational solution of differential equations and the simulation of nonlinear optics and plasma physics. [1] She is a professor of mathematics at Virginia ...
Mark Embree is professor of computational and applied mathematics at Virginia Tech in Blacksburg, Virginia. Until 2013, he was a professor of computational and applied mathematics at Rice University in Houston, Texas. Mark Embree was awarded Man of the Year and Outstanding Student in the College of Arts and Sciences at Virginia Tech in 1996.
The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in "discrete" steps and ...
Dr. Embree was professor of computational and applied mathematics at Rice University until 2013. [29] He is currently professor of mathematics at Virginia Tech, Leader for the College of Science's Computational Modeling & Data Analytics division, and Associate Director of the Virginia Tech Smart Infrastructure Laboratory. [30]
In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations.They combine features of the finite element and the finite volume framework and have been successfully applied to hyperbolic, elliptic, parabolic and mixed form problems arising from a wide range of applications.
Dichotomization is the special case of discretization in which the number of discrete classes is 2, which can approximate a continuous variable as a binary variable (creating a dichotomy for modeling purposes, as in binary classification). Discretization is also related to discrete mathematics, and is an important component of granular computing.
He contributed to the mathematical field of 4-manifolds, including a proof of the 4-dimensional annulus theorem.In surgery theory, he made several important contributions: the invention of the assembly map, that enables a functorial description of surgery in the topological category, with his thesis advisor, William Browder, the development of an early surgery theory for stratified spaces, and ...
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge.