Analytic Expressions of the Solutions of Advection-Diffusion Problems in One Dimension with Discontinuous Coefficients | Zendy

Antoine Lejay | Zendy; Lionel Lenôtre | Zendy; Géraldine Pichot | Zendy

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Analytic Expressions of the Solutions of Advection-Diffusion Problems in One Dimension with Discontinuous Coefficients

Author(s) -

Antoine Lejay,

Lionel Lenôtre,

Géraldine Pichot

Publication year - 2019

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/18m1164500

Subject(s) - resolvent , mathematics , piecewise , laplace transform , mathematical analysis , dimension (graph theory) , scalar (mathematics) , advection , diffusion , kernel (algebra) , constant coefficients , pure mathematics , physics , geometry , thermodynamics

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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