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 andIrina Shalimova, Russian Academy of Sciences and Novosibirsk University, Novosibirsk, Russia.
Schlagwörter zu:
Spherical and Plane Integral Operators for PDEs von Karl K. Sabelfeld - mit der ISBN: 9783110315332
MAT003000 MATHEMATICS / Applied; SCI040000 SCIENCE / Physics / Mathematical & Computational; Boundary value problems; Partielle Differentialgleichungen; Planare Integraloperatoren; Spectral projection method; Spherical integral operator; Sphärische Integraloperatoren; Stochastic numeric, Online-Buchhandlung
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