On one approach to the discretization of the lavrent’ev method

• Date: 1996
• Main Authors: Pereverzev, S. V., Solodkii, S. G., Переверзев, С. В., Солодкий, С. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5349
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose a new scheme of discretization of the Lavrent’ev method for operator equations of the first kind with self-adjoint nonnegative operators of certain “smoothness.” This scheme is more economical in the sense of the amount of used discrete information as compared with traditional approaches....