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Perturbed projection methods for split equations of the first kind

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Abstract

The paper investigates the approximate solution of linear operator equations of type (J-K)u=v, with J assumed invertible, obtained by applying a linear projection on both sides of the equation, together with a linear perturbation operator on the left side and a perturbation element on the right side.

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References

  1. L. V. Kantorovich and G. P. Akilov, Functional analysis in normed spaces, translated from the Russian by D. E. Brown, Macmillan, New York, 1964.

    Google Scholar 

  2. M. A. Krasnosel'skiiet al, Approximate solution of operator equations, translated from the Russian by D. Louvish, Wolters-Noordhoff, Groningen, 1972.

    Google Scholar 

  3. G. M. Vainikko, Perturved Galerkin method and general theory of approximate methods for nonlinear equations, Zh. Vychisl. Mat. i Mat. Fiz. 7, No. 4, (1967).

  4. G. M. Vainikko, Funktionalanalysis der Diskretisierungsmethoden, Teubner, Leipzig, 1976.

    Google Scholar 

  5. G. M. Vainikko, Approximative methods for nonlinear equations (Two approaches to the convergence problem),Nonlinear Anal., Theory and Appl. 2 (1978), pp. 647–687.

    Google Scholar 

  6. G. Miel, Rates of convergence and superconvergence of Galerkin's method for the generalized airfoil equation, in Numerical Solution of Singular Integral Equations, A. Gerasoulis and R. Vichnevetsky (Eds), IMACS, Rutgers University, New Jersey, 1984.

    Google Scholar 

  7. G. Miel, On the Galerkin and collocation methods for a Cauchy singular integral equation,SIAM J. Numer. Anal. (to appear).

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Authors and Affiliations

  1. Department of Mathematical Science, University of Nevada, 4505 Maryland Parkway, 89154, Las Vegas, NV, USA

    George Miel

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  1. George Miel
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Miel, G. Perturbed projection methods for split equations of the first kind. Integr equ oper theory 8, 268–275 (1985). https://doi.org/10.1007/BF01202815

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  • DOI: https://doi.org/10.1007/BF01202815

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