An Iterative Tikhonov Regularization for Solving Singularly Perturbed Elliptic PDE
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DOI: 10.1007/s00009-017-0980-0
Abstract: In this paper, we consider a class of singularly perturbed elliptical problems with homogeneous boundary conditions. We consider a regularized iterative method for solving such problems. Convergence analysis and error estimate are derived. The regularization… read more here.
Keywords: singularly perturbed; iterative tikhonov; regularization solving; solving singularly ... See more keywords
On One Method of Solving Singularly Perturbed Systems of Tikhonov’s Type
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DOI: 10.3103/s1066369x18060038
Abstract: To investigate Tikhonov systems arising in problems of control theory we apply the method of holomorphic regularization, which allows one to obtain solutions to singularly perturbed problems in the form of series converging in the… read more here.
Keywords: singularly perturbed; systems tikhonov; method solving; perturbed systems ... See more keywords