Kniha Random Walks on Boundary for Solving PDEs N.A. Simonov

Random Walks on Boundary for Solving PDEs

Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: De Gruyter
Dostupnosť: 50 % šanca
Prehľadáme celý svet
177.78
This monograph presents probabilistic representations for classical boundary value problems of mathe...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1994
Stránok
141
EAN
9789067641838
ISBN
9067641839
Enbook ID
05190815
Vydavateľ
Hmotnosť
370
Rozmery
168 x 7 x 7

Kompletný popis

This monograph presents probabilistic representations for classical boundary value problems of mathematical physics, and is devoted to the walk on boundary algorithms. Compared to the well-known Wiener and diffusion-path integrals, the trajectories of random walks in this publication are simulated on the boundary of the domain as Markov chains generated by the kernels of the boundary integral equations equivalent to the original boundary value problem. The book opens with an introduction for solving the interior and exterior boundary value for the Laplace and heat equations, which is followed by applying this method to all main boundary value problems of the potential and elasticity theories. It should be of interest to specialists in the field of applied and computational mathematics and applied probability, as well as for postgraduates studying new numerical methods for solving PDEs.

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