Kewei Liang

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This paper studies the numerical solutions of semilinear parabolic partial differential equations (PDEs) on unbounded spatial domains whose solutions blow up in finite time. There are two major difficulties usually in numerical solutions: the singularity of blow-up and the unboundedness. We propose local absorbing boundary conditions (LABCs) on the selected(More)
Image denoising is an important issue in many real applications. Image denoising can be considered to be recovering a signal from inaccurately and/or partially measured samples, which is exactly what compressive sensing accomplishes. With this observation, we propose a general image denoising framework that is based on compressive sensing theory in this(More)
OBJECTIVE The aim of our study is to express Coprinus cinereus peroxidase (CIP) in Pichia Pastori efficiently. METHODS We synthesized CIP gene with P. pastori codon bias by our Gene Synthesis and site-specific mutagenesis platform, using DNAWorks 3.1 program to design and optimize primers. Then, we sequenced the PCR products, inserted the correct gene(More)
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, is verified for the cases with and without Slater condition holding. For the numerical realization a semi-smooth Newton method is proposed for an appropriately chosen family of(More)
In this paper, an extremal eigenvalue problem corresponding to an inhomogeneous membrane which is composed of two different materials with different densities is investigated. The convergence of the finite element discretization and the error order for the smallest eigenvalue are obtained. A monotonic decreasing algorithm is presented to solve the(More)
The identification of individuals in a mixture of two semen samples usually involves an analysis of autosomal and Y chromosomal short tandem repeats (STR) which can exclude unrelated individuals but cannot achieve the purpose of individual identification. In sperm cells, there are multiple copies of mitochondrial DNAs (mtDNA) which exhibit genetic(More)
The temperature of a combustible material will rise or even blow up when a heat source moves across it. In this paper, we study the blow-up phenomenon in this kind of moving heat source problems in two-dimensions. First, a two-dimensional heat equation with a nonlinear source term is introduced to model the problem. The nonlinear source is localized around(More)
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