Positive difference operators of any preassigned approximation order for the second derivative

• Date: 1992
• Main Authors: Terteryan, A.A., Тертерян, А.А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8262
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Difference operators are stuied, constructed by the method of block approximation for the differential operator $-d^2/dt^2$ with homogeneous first boundary conditions. For separators of any order of approximation the positivity property is established.