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Convergence of the T -matrix approach in scattering theory. II

1983; American Institute of Physics; Volume: 24; Issue: 11 Linguagem: Inglês

10.1063/1.525635

1527-2427

Gerhard Kristensson, А. Г. Рамм, Staffan Ström,

Matrix Theory and Algorithms

Convergence of the T-matrix scheme is proved under more general assumptions than in Ramm [J. Math. Phys. 23, 1123–5 (1982)] and for more general boundary conditions. Stability of the numerical scheme towards small perturbations of data and convergence of the expansion coefficients are established. Dependence of the rate of convergence on the choice of basis functions is discussed. Dependence of the quality of expansions in various spherical waves on the shape of the obstacle is discussed.