Runge-Kutta type total variation regularization for nonlinear inverse problems

• Autores: Li Li, Wanyu Liu
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 263, Nº 1, 2014, págs. 103-114
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.12.012
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we construct a Runge�Kutta type total variation regularization for the nonlinear ill-posed problems. This method resembles Runge�Kutta type iteration with the Bregman distance as a regularization functional. In the presence of noise with noise level ä we prove this method to be convergent under appropriate stopping rule. Furthermore, some numerical experiments are presented to verify this method to be more suitable for problems with discontinuous solutions.