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graham carl; kurtz thomas g.; meleard sylvie; protter philip; pulvirenti mario; talay denis; talay denis (curatore); tubaro luciano (curatore) - probabilistic models for nonlinear partial differential equations
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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

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 07/1996
Edizione: 1996





Trama

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.




Sommario

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.










Altre Informazioni

ISBN:

9783540613978

Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 279 x 216 mm
Formato: Brossura
Illustration Notes:X, 302 p.
Pagine Arabe: 302
Pagine Romane: x


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