Spherical and Plane Integral Operators for PDEs
Publisher： De Gruyter
Publication year： 2013
E-ISBN: 9783110315332
P-ISBN(Paperback): 9783110315295
Subject： O175.2 Partial Differential Equations
Keyword： 数学,数理科学和化学
Language： ENG
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Description
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.