Spherical and Plane Integral Operators for PDEs
Construction, Analysis, and Applications
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Beschreibung
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.
Autor*in
Karl K. Sabelfeld
Themen in »Spherical and Plane Integral Operators for PDEs«
Sphärische Integraloperatoren Planare Integraloperatoren Partielle Differentialgleichungen Spherical integral operator Boundary value problems Stochastic numeric Spectral projection method