Probabilistic Models for Nonlinear Partial Differential Equations (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
302
Utgivningsdatum
1996-07-01
Upplaga
1996 ed.
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Talay, Denis (förf)
Illustrationer
X, 302 p.
Dimensioner
234 x 156 x 17 mm
Vikt
445 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783540613978

Probabilistic Models for Nonlinear Partial Differential Equations

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 22-30, 1995

Häftad,  Engelska, 1996-07-01
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The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers.
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Innehållsförteckning

Weak convergence of stochastic integrals and differential equations.- Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models.- Kinetic limits for stochastic particle systems.- A statistical physics approach to large networks.- Probabilistic numerical methods for partial differential equations: Elements of analysis.- Weak convergence of stochastic integrals and differential equations II: Infinite dimensional case.