Name: well-posedness of parabolic difference equations (en Inglés)
SKU: 3412920
Price: 1506.15 MXN
Availability: InStock
Author: sobolevskii,ashyralyev
ISBN: 9783764350246

portada well-posedness of parabolic difference equations (en Inglés)

well-posedness of parabolic difference equations (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

sobolevskii,ashyralyev

Idioma

Inglés

ISBN

3764350245

ISBN13

9783764350246

Categorías

Cálculo

well-posedness of parabolic difference equations (en Inglés)

Sobolevskii,Ashyralyev (Autor) · Springer · Libro Físico

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Reseña del libro "well-posedness of parabolic difference equations (en Inglés)"

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.