Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations: Fast Calculation and Approximation
نویسندگان
چکیده
This paper is concerned with the efficient implementation of transparent boundary conditions (TBCs) for wide angle parabolic equations (WAPEs) assuming cylindrical symmetry. In [1] a discrete TBC of convolution type was derived from the fully discretized whole–space problem that is reflection–free and yields an unconditionally stable scheme. Since the discrete TBC includes a convolution with respect to range with a weakly decaying kernel, its numerical evaluation becomes very costly for long-range simulations.
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