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 / M., Crisci; Russo, Elvira; Brunner, H.; Vecchio, A.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - (2002), pp. 201-222.
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
