A new method for the numerical solution of volume integral equations is proposed and applied to a Lippmann--Schwinger type equation in diffraction theory. The approximate solution is represented as a linear combination of the scaled and shifted Gaussian. We prove spectral convergence of the method up to some negligible saturation error. The theoretical results are confirmed by a numerical experiment.
Numerical solution of the Lippmann-Schwinger equation by Approximate Approximations / Lanzara, Flavia; Maz'Ya, V.; Schmidt, G.. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - STAMPA. - 10:(2004), pp. 645-660. [10.1007/s00041-004-3080-z]
Numerical solution of the Lippmann-Schwinger equation by Approximate Approximations
LANZARA, Flavia;
2004
Abstract
A new method for the numerical solution of volume integral equations is proposed and applied to a Lippmann--Schwinger type equation in diffraction theory. The approximate solution is represented as a linear combination of the scaled and shifted Gaussian. We prove spectral convergence of the method up to some negligible saturation error. The theoretical results are confirmed by a numerical experiment.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
