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Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
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9783764350246 - P.E. Sobolevskii; A. Ashyralyev: Well-Posedness of Parabolic Difference Equations
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P.E. Sobolevskii; A. Ashyralyev

Well-Posedness of Parabolic Difference Equations

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9783764350246 - A. Ashyralyev; P.E. Sobolevskii: Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
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A. Ashyralyev; P.E. Sobolevskii

Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications) (1994)

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A. Ashyralyev, P. E. Sobolevskii

Well-Posedness of Parabolic Difference Equations (Operator Theory Advances and Applications) (1994)

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ISBN: 9780817650247 bzw. 0817650245, in Englisch, 368 Seiten, Birkhauser, gebundenes Buch, gebraucht.

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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. Hardcover, Label: Birkhauser, Birkhauser, Produktgruppe: Book, Publiziert: 1994-04-28, Studio: Birkhauser, Verkaufsrang: 16191321.
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9783764350246 - A. Ashyralyev, P.E. Sobolevskii, Translator: A. Iacob: Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
A. Ashyralyev, P.E. Sobolevskii, Translator: A. Iacob

Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications) (1994)

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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. Hardcover, Ausgabe: 1, Label: Birkhäuser Basel, Birkhäuser Basel, Produktgruppe: Book, Publiziert: 1994-04-01, Studio: Birkhäuser Basel.
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9783764350246 - A. Ashyralyev, P.E. Sobolevskii, Translator: A. Iacob: Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
A. Ashyralyev, P.E. Sobolevskii, Translator: A. Iacob

Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications) (1994)

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ISBN: 9783764350246 bzw. 3764350245, in Englisch, 349 Seiten, Birkhäuser Basel, gebundenes Buch, neu, Erstausgabe.

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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. Hardcover, Ausgabe: 1, Label: Birkhäuser Basel, Birkhäuser Basel, Produktgruppe: Book, Publiziert: 1994-04-01, Studio: Birkhäuser Basel.
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Sobolevskii, P E, and Ashyralyev, A

Well-Posedness of Parabolic Difference Equations (Operator Theory Advances Applications) (2000)

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A. Ashyralyev

Well Posedness of Parabolic Difference Operations by and P E Sobolevskii 1994 Hardcover (1994)

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Ashyralyev, A.

Well-Posedness of Parabolic Difference Equations (Operator Theory Advances and Applications) (1994)

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ISBN: 9780817650247 bzw. 0817650245, in Englisch, Birkhauser, gebundenes Buch, gebraucht.

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9783764350246 - A. Ashyralyev, P.E. Sobolevskii, A. Iacob (Translator): Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications)
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A. Ashyralyev, P.E. Sobolevskii, A. Iacob (Translator)

Well-Posedness of Parabolic Difference Equations (Operator Theory: Advances and Applications) (1994)

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Sobolevskii, P. E., Ashyralyev, A.

Well-Posedness of Parabolic Difference Equations (Operator Theory Advances and Applications) (1994)

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ISBN: 9780817650247 bzw. 0817650245, in Englisch, Birkhauser, gebundenes Buch, gebraucht.

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