Parallel algorithm with spectral convergence for nonlinear integro-differential equations

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dc.creatorMihaila, Bogdan
dc.creatorShaw, Ruth E.
dc.date2002-02-26
dc.date.accessioned2026-07-07T10:54:54Z
dc.date.available2026-07-07T10:54:54Z
dc.descriptionWe discuss a numerical algorithm for solving nonlinear integro-differential equations, and illustrate our findings for the particular case of Volterra type equations. The algorithm combines a perturbation approach meant to render a linearized version of the problem and a spectral method where unknown functions are expanded in terms of Chebyshev polynomials (El-gendi's method). This approach is shown to be suitable for the calculation of two-point Green functions required in next to leading order studies of time-dependent quantum field theory.
dc.description15 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/physics/0202062
dc.identifierhttp://arxiv.org/abs/physics/0202062
dc.identifierJ.Phys.A35:5315,2002
dc.identifierdoi:10.1088/0305-4470/35/25/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185952
dc.subjectComputational Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleParallel algorithm with spectral convergence for nonlinear integro-differential equations
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