High performance parallel numerical methods for Volterra equations with weakly singular kernels

Giovanni Capobianco, Dajana Conte, Ida Del Prete

Type: Article

Publication Date: 2008-03-24

Citations: 27

DOI: https://doi.org/10.1016/j.cam.2008.03.027

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Locations

Journal of Computational and Applied Mathematics - View

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+	Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations	2021	D. Ramesh Kumar
+	GPU-acceleration of waveform relaxation methods for large differential systems	2015	Dajana Conte Raffaele D’Ambrosio Beatrice Paternoster
+	Solution of nonlinear weakly singular Volterra integral equations using the fractional‐order Legendre functions and pseudospectral method	2015	Jafar Eshaghi Hojatollah Adibi Saeed Kazem
+	Highly stable multivalue collocation methods	2020	Dajana Conte Raffaele D’Ambrosio Maria Pia D’Arienzo Beatrice Paternoster
+	Optimal Schwarz waveform relaxation for fractional diffusion-wave equations	2018	Giovanna Califano Dajana Conte
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Works Cited by This (20)

Action	Title	Year	Authors
+	Integrodifferential equation which interpolates the heat equation and the wave equation	1990	Yasuhiro Fujita
+	Collocation methods for Volterra integral and related functional equations.	2006	I. P. Gavrilyuk
+	The numerical solution of Volterra equations	1986	Hermann Brunner P. J. van der Houwen
+	Convergence results for continuous-time waveform methods for Volterra integral equations	1996	M.R. Crisci N.M. Ferraro E. Russo
+	A parallel algorithm for large systems of Volterra integral equations of Abel type	2008	Giovanni Capobianco Angelamaria Cardone
+	Fast numerical solution of weakly singular Volterra integral equations	1988	Ernst Hairer Ch. Lubich M. Schlichte
+	Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis	1997	M.R. Crisci E. Russo Antonia Vecchio
+	A family of methods for Abel integral equations of the second kind	1991	Hermann Brunner M.R. Crisci E. Russo Antonia Vecchio
+	Time point relaxation methods for Volterra integro-differential equations	1998	M.R. Crisci E. Russo Antonia Vecchio
+ PDF Chat	Fractional linear multistep methods for Abel-Volterra integral equations of the second kind	1985	Ch. Lubich