Well Posedness of Parabolic Difference Equations is popular PDF and ePub book, written by A. Ashyralyev in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Well Posedness of Parabolic Difference Equations can be Read Online from any device for your convenience.
Well Posedness of Parabolic Difference Equations Book PDF Summary
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 Padé 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.
Detail Book of Well Posedness of Parabolic Difference Equations PDF
- Author : A. Ashyralyev
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034885188
- Genre : Mathematics
- Total Page : 367 pages
- Language : English
- PDF File Size : 11,7 Mb
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