Numerical solution of the Lippmann-Schwinger equation by approximate approximations
2004 (English)In: Journal of Fourier Analysis and Applications, ISSN 1069-5869, Vol. 10, no 6, 645-660 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2004. Vol. 10, no 6, 645-660 p.
Approximation with Gaussians, Collocation, Cubatures, Helmholtz equation, Lippmann-Schwinger equation
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-45593DOI: 10.1007/s00041-004-3080-zOAI: oai:DiVA.org:liu-45593DiVA: diva2:266489