A Cayley-transform representation of the preconditioned Lippmann-Schwinger iteration yields basis-independent convergence bounds for the convergent Born series on general bounded domains and complex wavenumbers, extending to other wave equations without closed-form Green's functions.
Stevenson, Piecewise polynomial C0 approximations for compact operators, Mathematics of Computation 54 (190) (1990) 465–477
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Cayley-transform analysis and numerical validation of the convergent Born series for the Helmholtz equation
A Cayley-transform representation of the preconditioned Lippmann-Schwinger iteration yields basis-independent convergence bounds for the convergent Born series on general bounded domains and complex wavenumbers, extending to other wave equations without closed-form Green's functions.