Spherical and Plane Integral Operators for PDEs
Construction, Analysis, and Applications
Seiten
2013
De Gruyter (Verlag)
978-3-11-031529-5 (ISBN)
De Gruyter (Verlag)
978-3-11-031529-5 (ISBN)
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.
Erscheint lt. Verlag | 17.10.2013 |
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Zusatzinfo | 52 b/w ill., 7 b/w tbl. |
Verlagsort | Berlin/Boston |
Sprache | englisch |
Maße | 170 x 240 mm |
Gewicht | 693 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
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-10 | 3-11-031529-7 / 3110315297 |
ISBN-13 | 978-3-11-031529-5 / 9783110315295 |
Zustand | Neuware |
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