Solution of Ill-Posed Volterra Equations via Variable-Smoothing Tikhonov Regularization
نویسنده
چکیده
We consider a “local” Tikhonov regularization method for ill-posed Volterra problems. In addition to leading to efficient numerical schemes for inverse problems of this type, a feature of the method is that one may impose varying amounts of local smoothness on the solution, i.e., more regularization may be applied in some regions of the solution’s domain, and less in others. Here we present proofs of convergence for the infinite-dimensional local regularization problem and discuss the resulting numerical algorithm.
منابع مشابه
Variable-smoothing Regularization Methods for Inverse Problems
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