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Newton-type methods and their modifications for inverse heat conduction problems

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This paper studies to numerical solutions of an inverse heat conduction problem. The effect of algorithms based on the Newton-Tikhonov method and the Newton-implicit iterative method is investigated, and then several modifications are presented. Numerical examples show the modified algorithms always work and can greatly reduce the computational costs.

nonlinear inverse probleminverse heat conduction problemNewton-Tikhonov methodNewton-implicit iterative methodmodification

KANG Chuan-gang、MENG Ze-hong、HE Guo-qiang

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, P. R. China

School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, P. R. China

Key Disciplines of Shanghai MunicipalityShanghai Leading Academic Discipline Project

S30104J50101

2010

10.1007/s11741-010-0629-2

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(3)
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