Spherical and Plane Integral Operators for PDEs
eBook - PDF

Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications

  1. 338 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications

About this book

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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Yes, you can access Spherical and Plane Integral Operators for PDEs by Karl K. Sabelfeld,Irina A. Shalimova in PDF and/or ePUB format, as well as other popular books in Mathematik & Angewandte Mathematik. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2013
Print ISBN
9783110315295
eBook ISBN
9783110315332

Table of contents

  1. Preface
  2. 1 Introduction
  3. 2 Scalar second-order PDEs
  4. 3 High-order elliptic equations
  5. 4 Triangular systems of elliptic equations
  6. 5 Systems of elasticity theory
  7. 6 The generalized Poisson formula for the Lamé equation
  8. 7 Spherical means for the stress and strain tensors
  9. 8 Random Walk on Spheres method
  10. 9 Random Walk on Fixed Spheres for Laplace and Lamé equations
  11. 10 Stochastic spectral projection method for solving PDEs
  12. 11 Stochastic boundary collocation and spectral methods
  13. 12 Solution of 2D elasticity problems with random loads
  14. 13 Boundary value problems with random boundary conditions
  15. 13.3 3D Laplace equation
  16. Bibliography
  17. Index