The authors present a waveform relaxation (WR)method for systems of nonlinear Volterra integral equations (of the second kind) with a weakly singular kernel. A convergence analysis is performed for the continuous and discrete WR methods. In the latter case, the numerical method is a generalization of a 1-point collocation method. Superlinear convergence is shown in the continuous WR case.

CONTINUOUS AND DISCRETE TIME WAVEFORM RELAXATION METHODS FOR {V}OLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

RUSSO, ELVIRA;
2002

Abstract

The authors present a waveform relaxation (WR)method for systems of nonlinear Volterra integral equations (of the second kind) with a weakly singular kernel. A convergence analysis is performed for the continuous and discrete WR methods. In the latter case, the numerical method is a generalization of a 1-point collocation method. Superlinear convergence is shown in the continuous WR case.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/1343
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