Solution of the Cauchy problem for the wave equation using iterative regularization
Sign Up to like & getrecommendations! Published in 2021 at "Inverse Problems in Science and Engineering"
DOI: 10.1080/17415977.2021.1949590
Abstract: We propose a regularization method based on the iterative conjugate gradient method for the solution of a Cauchy problem for the wave equation in one dimension. This linear but ill-posed Cauchy pro... read more here.
Keywords: problem wave; cauchy problem; regularization; solution cauchy ... See more keywords
Mixed problem for the wave equation with a summable potential and nonzero initial velocity
Sign Up to like & getrecommendations! Published in 2017 at "Doklady Mathematics"
DOI: 10.1134/s106456241703022x
Abstract: The resolvent approach in the Fourier method, combined with Krylov’s ideas concerning convergence acceleration for Fourier series, is used to obtain a classical solution of a mixed problem for the wave equation with a summable… read more here.
Keywords: summable potential; problem wave; equation summable; mixed problem ... See more keywords