Statistical tests on 1000 noisy simulations show SG outperforms KLO at low noise while KLO is better at high noise for 1D wave equation coefficient reconstruction; SG is simpler and faster.
Webster's equation with curvature and dissipation
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abstract
Wave propagation in curved tubular domains is considered. A general version of Webster's equation is derived from the scattering passive wave equation. More precisely, it is shown that planar averages of a sufficiently smooth solution of the wave equation satisfy the corresponding Webster's equation when the latter includes additional control signals determined by the solution.
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math.NA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Statistical comparison of reconstruction methods for the inverse boundary problem of the one-dimensional wave equation
Statistical tests on 1000 noisy simulations show SG outperforms KLO at low noise while KLO is better at high noise for 1D wave equation coefficient reconstruction; SG is simpler and faster.