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20092023
most citedA class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources

357 citations · 875 across the 60 of their papers we have counts for

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Showing 2016 · math.NAShow all

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math.NA2016

The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients

Shi Jin, Zheng Ma

We develop a general polynomial chaos (gPC) based stochastic Galerkin (SG) for hyperbolic equations with random and singular coefficients. Due to the singu- lar nature of the solut…

math.NA2016★ 3 cited

Nonlinear Geometric Optics method based multi-scale numerical schemes for highly-oscillatory transport equations

Nicolas Crouseilles, Shi Jin, Mohammed Lemou

We introduce a new numerical strategy to solve a class of oscillatory transport PDE models which is able to captureaccurately the solutions without numerically resolving the high f…