On the use of a priori information in coefficient inverse problems for hyperbolic equations

Numerical algorithms for solving inverse coefficient problems for hyperbolic equations based on the use of a priori information on the solution are considered. Optimization algorithms and a dynamic version of the Gelfand–Levitan–Krein method are investigated. The boundedness of the solution and of its first derivative are used as a priori information. Convergence rate estimates are derived. The results of numerical simulations are presented.