Research
Work in Caltech
2004- , multiscale partial differential equations, My advisor is Professor Houman Owhadi.
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Houman Owhadi, Lei Zhang, Homogenization of the acoustic wave equation with a continuum of scales. (math.AP/0604380), submitted. 2006
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Houman Owhadi, Lei Zhang, Homogenization of Parabolic equations with a continuum of space and time scales. (math.AP/0512504), submitted. 2005
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Houman Owhadi, Lei Zhang, Metric Based Up-scaling (math.NA/0505223), 2005, accepted by Communications on Pure and Applied Mathematics.
2003-2004, stochastic model for stiff polymers, in Niles Pierce Group.
Work in Chinese Academy of Sciences
1999-2002, my advisor was Professor Yuan Li
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Zhang Lei, Yuan Li,
Ghost Fluid Method and Computation of Compressible Two-fluid Flows (in Chinese) Chinese Journal Of Computational Physics, 20 (6), 503-508, 2003.
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Zhang Lei, Level Set Method for two component compressible flow simulation (in Chinese), Master Thesis., June, 2002
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Zhang Lei, Yuan Li, Using Level Set Method to compute 1-d
two component compressible flow (in Chinese),
Chinese Journal Of Computational Physics, 18 (6), 511-515, 2001.