Operator Theory: Advances and Applications

Ashyralyev, Allaberen; Sobolevskii, Pavel E.

The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities.

The book will be of value to professional mathematicians, as well as advanced students in the fields of numerical analysis, functional analysis, and ordinary and partial differential equations.

Details

Published by: Birkhäuser

Publication Date: 2004-06-25

Format: Hardcover

ISBN-13: 9783764370541

DOI: 10.1007/978-3-0348-7922-4

Dimensions: 235cm x155cm

Pages: 446