Andrei Knyazev Scientist
Andrei (Andrew) Knyazev (Russian: Андрей Владимирович Князев) is a Russian-American mathematician. He graduated from the Faculty of Computational Mathematics and Cybernetics of Moscow State University under the supervision of Evgenii Georgievich D'yakonov (Russian: Евгений Георгиевич Дъяконов) in 1981 and obtained his PhD in Numerical Mathematics at the Russian Academy of Sciences under the supervision of Vyacheslav Ivanovich Lebedev (Russian: Вячеслав Иванович Лебедев) in 1985. He worked at the Kurchatov Institute in 1981-1983, and then to 1992 at the Institute of Numerical Mathematics (Russian: ru:Институт вычислительной математики РАН) of the Russian Academy of Sciences, headed by Gury Marchuk (Russian: Гурий Иванович Марчук).In 1993-1994, he held a visiting position at the Courant Institute of Mathematical Sciences of New York University, collaborating with Olof B. Widlund. From 1994 until retirement in 2014, he was a Professor of Mathematics at the University of Colorado Denver, supported by the National Science Foundation and United States Department of Energy grants. In 2012, he took a research position at the Mitsubishi Electric Research Laboratories.Knyazev was mostly known for his work in numerical solution of large sparse eigenvalue problems, particularly the iterative method LOBPCG. An implementation of LOBPCG was available in the public software package BLOPEX. A popular public electronic structure calculations package ABINIT used LOBPCG for wavefunction parallel optimization.Knyazev collaborated with John Osborn on the theory of the Rayleigh–Ritz method (see also)and with Nikolai Sergeevich Bakhvalov (Russian: Николай Серге́евич Бахвалов) on numerical solution of elliptic partial differential equations (PDE's) with large jumps in the main coefficients.His Erdős number = 4.
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