• Integro-interpolation schemes...

Treffer: Integro-interpolation schemes of a given order and other applications of the multioperator principle

Title:
Integro-interpolation schemes of a given order and other applications of the multioperator principle
Authors:
Tolstyukh, A. I.
Publisher Information:
Russian Academy of Sciences - RAS (Rossiĭskaya Akademiya Nauk - RAN), Moscow; Nauka, Moscow
Subject Terms:
difference schemes, Applications of operator theory in numerical analysis, Numerical solutions to equations with nonlinear operators, compact approximations, convection-diffusion equation, numerical calculations, basic operators
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/2205659
Accession Number:
edsair.c2b0b933574d..2e356340cb9f962a78554eccb033118e
Database:
OpenAIRE

Weitere Informationen

The principle of constructing centered and upwind multioperator schemes of arbitrary order for convection-diffusion equations is described. The construction relies on the application of the integro-interpolation method in the case of compact approximations. It is shown that there exist multioperators (i.e., linear combinations of basis operators). In special cases, the domains of admissible values of the multioperator parameters where the multioperators have definite signs are analyzed.