EAN: 9783110315295

SPHERICAL AND PLANE INTEGRAL OPERATORS FOR PDES...

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.

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