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- Yan-yan Li, Lei Zhang
- 2004

Let (M, g) be an n−dimensional, smooth, compact Riemannian manifold without boundary. For n = 2, the uniformization theorem of Poincaré gives the existence of Riemannian metrics which are pointwise… (More)

- Lei Zhang, Masahiro Shoji
- 2003

Abstract The present work aims at studying the physical mechanisms of nucleation site interaction in pool boiling. A series of experiments have been carried out to investigate the average bubble… (More)

- Houman Owhadi, Lei Zhang
- 2005

We consider divergence form elliptic operators in dimension n ≥ 2 with L∞ coefficients. Although solutions of these operators are only Holder continuous, we show that they are differentiable (C1,α)… (More)

We present a practical implementation of an energy-based atomistic-to-continuum (a/c) coupling scheme without ghost forces, and numerical tests evaluating its accuracy relative to other types of a/c… (More)

In this paper, a special kind of matrices which are symmetric, all elements are equal to zero except for the first row, the first column and the diagonal elements, and the elements of the first row… (More)

- Chang-Shou Lin, Lei Zhang
- 2011

Let A = (a ij ) n×n be an invertible matrix and A -1 = (a ij ) n×n be the inverse of A. In this paper, we consider the generalized Liouville system n (0.1) Δ g u i + n/∑a ij ρ j (h j e u j/∫h j e u… (More)

We show how to incorporate the line search into Newton's method and simplify solution procedure for obtaining the square root of a matrix. The line search improves the global convergence properties… (More)

- Jian-hui Long, Xiyan Hu, Lei Zhang
- 2008

In this paper, we study the matrix equation AX^2+BX+C=0, where A,B and C are square matrices. We give two improved algorithms which are better than Newton's method with exact line searches to… (More)

- Dihua Jiang, Baiying Liu, Bin Xu, Lei Zhang
- 2015

The existence of the well-known Jacquet-Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970 ([11]). An explicit construction of such a… (More)

- Dihua Jiang, Baiying Liu, Lei Zhang
- 2013

We study the location of possible poles of a family of residual Eisenstein series on classical groups. Special types of residues of those Eisenstein series were used as key ingredients in the… (More)