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Well-Posedness of Parabolic Difference Equations Softcover Repri Edition
Contributor(s): Ashyralyev, A. (Author), Iacob, A. (Translator), Sobolevskii, P. E. (Author)
ISBN: 3034896611     ISBN-13: 9783034896610
Publisher: Birkhauser
OUR PRICE:   $52.24  
Product Type: Paperback
Published: October 2012
Qty:
Additional Information
BISAC Categories:
- Mathematics | Calculus
- Mathematics | Mathematical Analysis
- Mathematics | Number Systems
Dewey: 515.625
Series: Operator Theory: Advances and Applications
Physical Information: 0.76" H x 6.69" W x 9.61" (1.29 lbs) 353 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value problems in mathematical physics is generating much current interest. The present monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Pad approximations. The investigation is based on a new notion of positivity of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy. Establishing coercivity inequalities allows one to obtain sharp, that is, two-sided estimates of convergence rates. The proofs are based on results in interpolation theory of linear operators. This monograph will be of value to professional mathematicians as well as advanced students interested in the fields of functional analysis and partial differential equations.