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Numerical Functional Analysis and Optimization Volume 17, 1996 - Issue 3-4
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Original Articles

An algorithmic representation of fractional powers of positive operators

Algorithmic representation of fractional powers of positive operators

Ivan P. Gavrilyuk Fakultärfür Mathematik und Informatik, Universität Leipzig, Leipzig, Germany
Pages 293-305 | Published online: 15 May 2007

Citations (11)

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V. Havu & J. Malinen. (2007) The Cayley Transform as a Time Discretization Scheme. Numerical Functional Analysis and Optimization 28:7-8, pages 825-851.
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Articles from other publishers (10)

Volodymyr Leonidovych Makarov & Nataliya Valentynivna Mayko. 2023. The weighted error estimates of the functional-discrete methods for solving boundary value problems. The weighted error estimates of the functional-discrete methods for solving boundary value problems.
V. B. Vasylyk, I. P. Gavrilyuk & V. L. Makarov. (2022) Exponentially Convergent Method for the Approximation of a Differential Equation with Fractional Derivative and Unbounded Operator Coefficient in a Banach Space. Ukrainian Mathematical Journal.
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I. P. Gavrilyuk & V. L. Makarov. (2022) Approximations of the Mittag-Leffler Operator Function with Exponential Accuracy and Their Applications to Solving Evolutionary Equations with Fractional Time Derivative. Ukrainian Mathematical Journal 74:5, pages 709-725.
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I. P. Gavrilyuk & V. L. Makarov. (2022) Approximations of the Mittag-Leffler operator function with exponential accuracy and their application to solving of evolution equations with fractional derivative in time. Ukrains’kyi Matematychnyi Zhurnal 74:5, pages 620-634.
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V. B. Vasylyk, I. P. Gavrilyuk & V. L. Makarov. (2022) Експоненціально збіжний метод наближення для рівняння з дробовою похідною і необмеженим операторним коефіцієнтом в банаховому просторі. Ukrains’kyi Matematychnyi Zhurnal 74:2, pages 151-163.
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Ivan P. Gavrilyuk, Volodymyr L. Makarov & Nataliya V. Mayko. (2020) Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Computational Methods in Applied Mathematics 20:4, pages 609-630.
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David Bolin, Kristin Kirchner & Mihály Kovács. (2020) Numerical solution of fractional elliptic stochastic PDEs with spatial white noise. IMA Journal of Numerical Analysis 40:2, pages 1051-1073.
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Ivan Gavrilyuk & Boris N. Khoromskij. (2019) Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. Computational Methods in Applied Mathematics 19:1, pages 55-71.
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Petr N. Vabishchevich. (2015) Numerically solving an equation for fractional powers of elliptic operators. Journal of Computational Physics 282, pages 289-302.
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Ivan P. Gavrilyuk & Vladimir L. Makarov. (1998) Exact and approximate solutions of some operator equations based on the Cayley transform. Linear Algebra and its Applications 282:1-3, pages 97-121.
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