The Helmholtz equation, a cornerstone in mathematical physics, models wave propagation phenomena in acoustics, electromagnetism and seismic imaging. Its inherent computational challenges—particularly ...
The Cauchy problem for the Helmholtz equation has emerged as an important yet challenging subject in applied mathematics and engineering. This problem involves deducing interior solutions from ...
In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation.
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