Cao, Li; Wang, Wei A continuous Landweber type regularization method for solving nonlinear ill-posed problems. (English) Zbl 1313.65127 J. Nat. Sci. Heilongjiang Univ. 31, No. 2, 165-170 (2014). Summary: A continuous Landweber type regularization method for solving nonlinear ill-posed problems is proposed. Under the smoothness of the unknown solution, convergence and stability of the asymptotical regularization method are given. Moreover, some numerical experiments are presented to illustrate that the 2-stage iterative regularization methods are stable and efficient in saving iteration steps. MSC: 65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization 65J15 Numerical solutions to equations with nonlinear operators 47J06 Nonlinear ill-posed problems Keywords:nonlinear ill-posed problems; continuous method; asymptotical regularization method; modified Landweber method; convergence; stability; numerical experiments PDFBibTeX XMLCite \textit{L. Cao} and \textit{W. Wang}, J. Nat. Sci. Heilongjiang Univ. 31, No. 2, 165--170 (2014; Zbl 1313.65127) Full Text: DOI