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    Article

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

    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 ...

    Chuan-gang Kang 康传刚, Ze-hong Meng 孟泽红… in Journal of Shanghai University (English Ed… (2010)

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    Article

    Nonlinear implicit iterative method for solving nonlinear ill-posed problems

    In the paper, we extend the implicit iterative method for linear ill-posed operator equations to solve nonlinear ill-posed problems. We show that under some conditions the error sequence of solutions of the no...

    Jian-jun Liu 柳建军, Guo-qiang He 贺国**… in Applied Mathematics and Mechanics (2009)

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    Article

    A mixed Newton-Tikhonov method for nonlinear ill-posed problems

    Newton type methods are one kind of the efficient methods to solve nonlinear ill-posed problems, which have attracted extensive attention. However, computational cost of Newton type methods is high because pra...

    Chuan-gang Kang 康传刚, Guo-qiang He 贺国** in Applied Mathematics and Mechanics (2009)