Difference Schemes with Operator Factors
By: by A. A. Samarskii, P. P. Matus, P. N. Vabishchevich
Contributors: Matus, P. P.; Vabishchevich, P. N.
Series: Mathematics and Its Applications -- 546; Mathematics and Its Applications -- 546
Publisher: Springer Netherlands
Published: 2002
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 384
ISBN-13: 9789048161188; 9789401598743
Subjects: Mathematics; Differential equations, partial; Operator theory; Computer science
Description: This book reflects the modern level of the theory of problem-solving differential methods in mathematical physics. The main results of the stability and convergence of the approximate boundary problem solving for many-dimensional equations with partial derivatives are obtained in the works of Russian scientists and are practically not covered in the monograph and textbooks published in the West. At the present time the main attention in computational mathematics is paid to the theory and practice of the method of finite elements. The books available in English are oriented to the basic training of specialists. The book is intended for specialists in numerical methods for the solution of mathematical physics problems; the exposition is easily understood by senior students of universities.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.
Table of contents: title: 1. Introduction; title: 2. Two-Level Difference Schemes; title: 3. Difference Schemes with Operator Factors; title: 4. Three-Level Difference Schemes; title: 5. Three-Level Schemes with Operator Factors; title: 6. Difference Schemes for Non-Stationary Equations; title: 7. Schemes on Adaptive Grids; title: 8. Difference Schemes of Domain Decomposition for Non-Stationary Problems; title: References; title: Index.