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Alternative single scatter approximation for one-way wave propagation. (English) Zbl 0959.35008

Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 934-938 (2000).
Summary: For wave propagation in a slowly varying waveguide, approximate one-way models are widely used. The single scatter approximation improves the accuracy of the standard one-way equation involving a square root operator but it is usually given in a discrete form. The continuous limit of the discrete single scatter approximation leads to an improved one-way equation. An alternative formulation of the discrete single scatter approximation is then introduced to avoid the difficulty related to the rational approximation of a sum of two square root operators. Numerical implementation of the alternative formulation is more convenient and achieves the same level of accuracy as the original single scatter approximation.
For the entire collection see [Zbl 0943.00077].

MSC:

35A35 Theoretical approximation in context of PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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