Аннотация:The comparative numerical investigation of iterative algorithm [1] and functional algorithm [2-3] for solving the acoustic tomography problem is considered. For the case of the two-dimensional scalar Helmholtz equation, the efficiency of the iterative algorithm for the reconstruction of medium-strength scatterers and the advantages of the functional-analytical approach for the reconstruction of strong scatterers with parameters typical for acoustic tomography problems are demonstrated. The reconstruction results obtained by using the considered iterative algorithm can be a basis for analyzing the possibilities and limitations of this approach in multi-channel acoustic inverse problems.1. Novikov R.G. An iterative approach to non-overdetermined inverse scattering at fixed energy // Sbornik: Mathematics. 2015. V. 206. N 1. P.120-134. https://hal.archives-ouvertes.fr/hal-008357352. Novikov R.G. Rapidly converging approximation in inverse quantum scattering in dimension 2 // Physics Letters A. 1998. V. 238. N 2–3. P. 73–78.3. Novikov R.G., Santacesaria M. Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems // International Mathematics Research Notices. Oxford University Press (OUP). 2013. N. 6. P. 1205-1229. https://hal.archives-ouvertes.fr/hal-00594674
