Fast collocation methods for Volterra integral equations of convolution type

DOI10.1016/j.cam.2005.10.018zbMath1104.65122OpenAlexW2079124418MaRDI QIDQ2503036

Dajana Conte, Ida Del Prete

Publication date: 13 September 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.10.018

zbMATH Keywords

numerical resultsconvolutionparallel computationcollocation methodsfast numerical methodsVolterra integral equations of Hammerstein type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Parallel numerical computation (65Y05)

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Uses Software

• Algorithm 689

Cites Work

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• Convolution quadrature and discretized operational calculus. II
• Non-reflecting boundary conditions for Maxwell's equations
• Fast Numerical Solution of Nonlinear Volterra Convolution Equations
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
• The Accurate Numerical Inversion of Laplace Transforms
• A modification of Talbot's method for the simultaneous approximation of several values of the inverse Laplace transform
• Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind
• Stability of discrete volterra equations of hammerstein type
• Fast Convolution for Nonreflecting Boundary Conditions
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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