UID:
almahu_9949462258902882
Format:
1 online resource (328 p.)
ISBN:
9783110315332
,
9783110238570
Content:
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.
Note:
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
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
Additional Edition:
ISBN 9783110315295
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110315332
URL:
https://doi.org/10.1515/9783110315332
URL:
https://www.degruyter.com/isbn/9783110315332
