Spherical and plane integral operators for PDEs : construction, analysis, and applications /

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Sabelʹfelʹd, K. K. (Karl Karlovich) (Autor), Shalimova, I. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2013.
Temas:
Differential equations, Partial.
Integral operators.
Équations aux dérivées partielles.
Opérateurs intégraux.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Integraloperator
Randwertproblem
Partielle Differentialgleichung
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Preface
  • Contents
  • 1. Introduction
  • 2. Scalar second-order PDEs
  • 3. High-order elliptic equations
  • 4. Triangular systems of elliptic equations
  • 5. Systems of elasticity theory
  • 6. The generalized Poisson formula for the Lamé equation
  • 7. Spherical means for the stress and strain tensors
  • 8. Random Walk on Spheres method
  • 9. Random Walk on Fixed Spheres for Laplace and Lamé equations
  • 10. A stochastic spectral projection method for solving PDEs for some classes of domains
  • 11. Stochastic boundary collocation and spectral methods
  • 12. Solution of 2D elasticity problems with random loads
  • 13. Boundary value problems for some elliptic PDEs with random boundary conditions
  • Bibliography
  • Index.

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