Direct and Converse Theorems for Iterative Methods of Solving Irregular Operator Equations and Finite Difference Methods for Solving Ill-Posed Cauchy Problems
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DOI: 10.1134/s0965542520060020
Abstract: Results obtained in recent years concerning necessary and sufficient conditions for the convergence (at a given rate) of approximation methods for solutions of irregular operator equations are overviewed. The exposition is given in the context… read more here.
Keywords: posed cauchy; cauchy problems; ill posed; operator equations ... See more keywords
The Goursat and Cauchy problems for three-dimensional Bianchi equation
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DOI: 10.3103/s1066369x20060031
Abstract: We apply new approach for the Goursat and Cauchy problems with additional recovering of coefficients of equation for selection of the cases of solvability of these problems in quadratures. Instead of introduction of additional boundary… read more here.
Keywords: equation; three dimensional; cauchy problems; problems three ... See more keywords