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Solving linear initial value problems by Faber polynomials
Numerical Linear Algebra with Applications, 2002AbstractIn this paper we use the theory of Faber polynomials for solving N‐dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating the so‐called exponential integrators. We also provide a consistence and convergence analysis.
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Iranian Journal of Science and Technology, Transactions A: Science, 2019
A. Naaz, M. Mursaleen
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A. Naaz, M. Mursaleen
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Correction to “Faber Polynomials and the Faber Series”
The American Mathematical Monthly, 1972openaire +2 more sources
A DISCRETE MODEL OF A TRANSMISSION LINE AND THE FABER POLYNOMIALS
Eurasian Mathematical JournalV. Kurbatov
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On the zeros of weighted Faber polynomials
1995Let \(E\) be a compact set in \(\mathbb{C}\) with connected complement, let \(\psi\) be the conformal mapping of \(\{w: |w |> \rho\}\) onto \(\widehat \mathbb{C} \backslash E\) (normalized at \(\infty)\), let \(\Phi = \psi^{-1}\), and let \(g(z) = 1 + \sum^\infty_{k=1} \mu_k/z^k\) be holomorphic in \(D\). Then the generalized Faber polynomial \(F_n(z,g)
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Application of Faber Polynomials to the Approximate Solution of the Riemann Problem
Ukrainian Mathematical Journal, 2017M. A. Sheshko, D. Pylak, P. Wójcik
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Hybrid Iterative Methods Based on Faber Polynomials
1993In recent years, a lot of progress has been made in the field of iterative methods for large nonsynunetric systems of linear equations. Most of this work dealt with generalizations of the classical conjugate gradient algorithm to problems which are not positive definite (see [2] for an extensive survey of these developments).
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