Analytic expressions of the solutions of advection-diffusion problems in 1D with discontinuous coefficients - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2017

Analytic expressions of the solutions of advection-diffusion problems in 1D with discontinuous coefficients

Résumé

In this article, we provide a general methodology to compute the resolvent kernel as well as the density when available for a one-dimensional second-order differential operators with discontinuous coefficients. In a sequel, the computed resolvent kernel will be used to setup an efficient and accurate simulation scheme.
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Dates et versions

hal-01644270 , version 1 (22-11-2017)
hal-01644270 , version 2 (19-02-2019)

Identifiants

  • HAL Id : hal-01644270 , version 1

Citer

Antoine Lejay, Lionel Lenôtre, Géraldine Pichot. Analytic expressions of the solutions of advection-diffusion problems in 1D with discontinuous coefficients. 2017. ⟨hal-01644270v1⟩
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