ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS

By Tao, Tang, Xiang, Xu, Jin, Cheng. 2008

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Jacobi spectral solution for integral algebraic equations of index-2 (2011, methodology): “4 from [20]), we have ‖E‖L2 wα,β (Λ) C‖F‖L2 wα,β (Λ), (5.”
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind (2012, background): “We point out that for (1) without the singular kernel, spectral methods and the corresponding error analysis have been provided recently [24]; see also [1,2,25] for spectral methods to pantographtype delay differential equations.”
Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions (2012, methodology): “, μ = 0) spectral methods and the corresponding error analysis have been provided recently [16]; see also [28] and [1] for spectral methods to Volterra integral equations and pantograph-type delay differential equations.”
Legendre spectral Galerkin method for second-kind Volterra integral equations (2009, methodology): “[ 15 ], this paper also presents a numerical method for the Volterra type equations based on spectral methods.”