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Vainikko, G.M. and Veretennikov, A.Y. (1986) Iteration Procedures in Ill-Posed Problems. Nauka, Moscow.

has been cited by the following article:

• TITLE: Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient

  AUTHORS: Hongwu Zhang, Xiaoju Zhang

  KEYWORDS: Ill-Posed Problem, Backward Heat Conduction Problem with Variable Coefficient, Iterative Method, Truncated Technique, Convergence Estimate

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.4, April 27, 2015

  ABSTRACT: We consider a backward heat conduction problem (BHCP) with variable coefficient. This problem is severely ill-posed in the sense of Hadamard and the regularization techniques are required to stabilize numerical computations. We use an iterative method based on the truncated technique to treat it. Under an a-priori and an a-posteriori stopping rule for the iterative step number, the convergence estimates are established. Some numerical results show that this method is stable and feasible.