NUMERICS

作品数：15被引量：11H指数：2
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SOLVING THE BACKWARD HEAT CONDUCTION PROBLEM BY DATA FITTING WITH MULTIPLE REGULARIZING PARAMETERS
《Journal of Computational Mathematics》2012年第4期418-432,共15页Qun Chen Jijun Liu 
Acknowledgments. This work is supported by NSFC （No.11071039） and Natural Science Foundation of Jiangsu Province （No.BK2011584）.
We propose a new reconstruction scheme for the backward heat conduction problem. By using the eigenfunction expansions, this ill-posed problem is solved by an optimization problem, which is essentially a regularizing ...
关键词：Inverse problem Data fitting REGULARIZATION Convergence rate Numerics. 
NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR ACOUSTIC WAVES BY A TWO-SIDED CRACK IN 2-DIMENSIONAL SPACE被引量：1
《Journal of Computational Mathematics》2011年第2期141-166,共26页Jijun Liu P.A. Krutitskii M. Sini 
The authors would like to thank the referees for their valuable comments and suggestions which lead to an improved version of this paper. The work of the first author is supported by NSFC（No.10771033）. The first and second authors thank RICAM （Austrian Academy of Sciences） for the hospitality during the special semester on computational biology in 2007 in Linz. The third author is supported by the Austrian science foundation FWF via the project SFB F013/1308. The authors also want to thank Prof. Valentina Kolybasova and H.F.Zhao for their contributions in constructing Example 3.
The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem...
关键词：Wave scattering Impedance boundary Integral equations Singularity analysis Numerics. 
A NEW APPROACH AND ERROR ANALYSIS FOR RECONSTRUCTING THE SCATTERED WAVE BY THE POINT SOURCE METHOD被引量：2
《Journal of Computational Mathematics》2007年第2期113-130,共18页Jijun Liu Gen Nakamura Roland Potthast 
Supported NSFC(No.10371018).
Consider an inverse scattering problem by an obstacle D belong to R^2 with impedance boundary. We investigate the reconstruction of the scattered field u^s from its far field pattern u^∞ using the point source method...
关键词：Inverse scattering REGULARIZATION Error estimate NUMERICS 
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