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NEWTON-KANTOROVICH ITERATION METHOD FOR SOLVING INVERSE PROBLEMS OF NONLINEAR PARABOLIC SYSTEMS
Acta Mathematica Scientia, 1994There are a lot of papers concerning inverse problems of linear partial differential equations, but only a few papers dealing with inverse problems of nonlinear partial differential equations. In this paper, the author considers the identification of parameters which are functions of spatial and/or time variables, in a quasi-linear parabolic equation ...
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A regularizing algorithm based on the newton-kantorovich method for solving variational inequalities
USSR Computational Mathematics and Mathematical Physics, 1976Abstract ITERATIVE methods of Newton's type for solving variational inequalities, and regularized analogues of these methods, are studied. The results obtained make it possible to justify a number of iterative algorithms for solving non-linear ill-posed problems.
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Newton-Kantorovich method for two-dimensional non-linear singular integral equations
20161, 10, Maejo International Journal of Science and ...
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Some generalizations of the Newton-Kantorovich method
Ukrainian Mathematical Journal, 1969Kurpel', N. S., Migovich, F. M.
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A possible application of Newton-Kantorovich’s method to low-energy ππ scattering
Il Nuovo Cimento A, 1968A possible method for obtaining approximate solutions of low-energy ππ scattering partial-wave equations is considered. It is based on a modification of Newton’s method which was developed by Kantorovich in application to nonlinear functional equations, and which reduces the whole problem, in the presented case, to the solutions of algebraic (nonlinear)
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On the Newton-Kantorovich method
USSR Computational Mathematics and Mathematical Physics, 1968openaire +2 more sources
On a generalization of the method of Newton - kantorovich
Ukrainian Mathematical Journal, 1972openaire +1 more source
On the Newton-Kantorovich method and some of its modifications
Siberian Mathematical Journal, 1972openaire +1 more source
Extension of Newton-Kantorovich method to equations with nondifferentiable operators
Ukrainian Mathematical Journal, 1982Zabrejko, P. P., Zlepko, P. P.
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