Ying Lexing

Ying Lexing ( Chinese  应 乐 兴 , Pinyin Yīng Lèxīng ; * 1978 ) is a Chinese mathematician who deals with scientific arithmetic and numerical analysis. He is a professor at Stanford University .

Ying received his bachelor's degree from Shanghai Jiaotong University in 1998 and his master's degree from New York University in 2000 . He received his PhD in 2004 with Denis Zorin at the Courant Institute at New York University. He was an Associate Professor at the University of Texas at Austin and from 2012 at Stanford University.

Ying deals with numerical analysis in a wide variety of areas, for example in density functional theory , massively parallel algorithms for matrix inversion and the fast multipole method and with the propagation of waves of high frequency, with seismic waves and in the solution of the Helmholtz equation, curvlet transformations . With Candès he introduced the phase flow method for the construction of phase maps of nonlinear ordinary differential equations, with Kenneth Ho Hierarchical Interpolative Factorization (HIF) in the numerics of elliptic partial differential equations and with Laurent Demanet Wave Atoms .

He was a Sloan Fellow in 2007 , a National Science Foundation Award in 2009 and a Chinese Academy of Sciences Award for Scientific Computing in 2011. In 2013 he received the James H. Wilkinson Prize (lecture: Interpolative Decomposition and Novel Operator Decompositions )

Fonts

• with Björn Engquist Fast algorithms for high frequency wave propagation , in I. Graham, T. Hou, O. Lakkis, R. Scheichl (editor) Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, Springer Verlag
• Fast algorithms for boundary integral equations , in Björn Engquist, O. Runborg, P. Lotstedt (editor) Multiscale Methods in Science and Engineering , Lecture Notes in Computational Science and Engineering, Volume 66, Springer Verlag, 2009, pp. 139–194
• with Emmanuel Candès The phase flow method , J. of Computational Physics, 220, 2006
• with Jianlian Quian: Fast gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation , J. Comput. Physics 229, 2010, 7848-7873
• with Laurent Demanet Wave atoms and time upscaling of wave equations , Numerische Mathematik, 113, 2009, 1–71
• with L. Demanet Fast wave computation via Fourier integral operators , Mathematics of Computation 81, 2012, 1455–1486
• with L. Demanet Wave atoms and sparsity of oscillatory patterns , Appl. Comput. Harmonic Anal., 23, 2007, 368–387 (Introduction to Wave Atoms)
• with Candes, Demanet Fast computation of Fourier Integral Operators , SIAM J. Sci. Comp., 29, 2007, 2464-2493
• Discrete Symbol Calculus, SIAM Review, 53, 2011, 71-104
• with Ilya Lashuk, Zorin u. a. A massively parallel adaptive fast multipole method on heterogeneous architectures , Communications ACM, 55, May 2012, p. 101
• with L. Lin, J. Lu, WE Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation , Journal of Computational Physics 231, 2012

Web links

• Homepage

Individual evidence

1. ↑ Ying Lexing in the Mathematics Genealogy Project (English)
2. ↑ Interpolative Decompositions and Novel Operator Factorizations
3. ^ Wilkinson Prize for Ying, Stanford Daily, July 28, 2013

Note: This article places the family name before the person's first name. This is the usual order in Chinese. Ying is the family name here, Lexing is the first name.