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- W4239427314 abstract "A high-order, adaptive method is described for computing the wave field in a laterally homogeneous fluid-solid medium by Henkel-transform integration. A technique for numerical quadrature is used, where trapezoidal or Filon sums obtained with several step sizes are combined by polynomial or Bulirsch-Stoer rational interpolation to increase the order of convergence and to obtain error estimates. This technique is combined with adaptive interval halving, maintaining a hierarchy of subintervals, meshes, and function values in a stack to eliminate duplicate function evaluations. Computational results from an underwater acoustics application are presented, showing impressive gains in efficiency and accuracy in comparison to traditional nonadaptive methods. Wave-field computations with tight accuracy demands are of interest, specifically in the context of benchmark calculations and program verification. With the method presented, about five additional correct digits are obtained by increasing the computational work by a factor of two. Of particular interest is the observation that the Filon technique seems really attractive only in conjunction with the adaptive approach." @default.
- W4239427314 created "2022-05-12" @default.
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- W4239427314 date "1991-04-01" @default.
- W4239427314 modified "2023-10-06" @default.
- W4239427314 title "A high‐order adaptive integration method for wave propagation in range‐independent fluid‐solid media" @default.
- W4239427314 doi "https://doi.org/10.1121/1.2029417" @default.
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