Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications

Karl K. Sabelfeld, Irina A. Shalimova (Autoren)

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X, 328 Seiten | Ausstattung: Hardcover & eBook

2013
De Gruyter
9783110315349 (ISBN)

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The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Karl Sabelfeld and IrinaShalimova, Russian Academy of Sciences and Novosibirsk University, Novosibirsk, Russia.

Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	boundary value problems • Partielle Differentialgleichungen • Planare Integraloperatoren • Spectral projection method • Sphärische Integraloperatoren • Spherical integral operator • Spherical Integral Operator; Boundary Value Problems; Stochastic Numeric; Spectral Projection Method • Stochastic numeric
ISBN-13	9783110315349 / 9783110315349
Zustand	Neuware