Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
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DOI: 10.1007/s40314-017-0563-5
Abstract: In this paper, Legendre spectral projection methods are applied for the Volterra integral equations of second kind with a smooth kernel. We prove that the approximate solutions of the Legendre Galerkin and Legendre collocation methods… read more here.
Keywords: order; spectral projection; order mathcal; legendre spectral ... See more keywords
Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel
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DOI: 10.1007/s40819-018-0580-0
Abstract: In this paper, we consider the Legendre Galerkin and Legendre collocation methods for solving the Fredholm–Hammerstein integral equation with weakly singular kernels. We evaluate the convergence rates for both the methods in both $$L^2$$L2 and… read more here.
Keywords: spectral projection; legendre galerkin; legendre spectral; iterated legendre ... See more keywords
Quantum algorithm for spectral projection by measuring an ancilla iteratively
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DOI: 10.1103/physreva.101.032339
Abstract: We propose a quantum algorithm for projecting to eigenstates of any hermitian operator, provided one can access the associated control-unitary evolution and measurement of the ancilla of the control. The procedure is iterative and the… read more here.
Keywords: projection measuring; quantum algorithm; spectral projection; algorithm spectral ... See more keywords