output
19952026
most citedBSDE with quadratic growth and unbounded terminal value

241 citations

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Showing 2019 · math.NAShow all

5 papers · 2 filters

math.NA2019

Exact splitting methods for kinetic and Schr{ö}dinger equations

Joackim Bernier, Nicolas Crouseilles, Yingzhe Li

In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{ö}dinger type…

math.NA2019★ 2 cited

High order numerical schemes for transport equations on bounded domains

Benjamin Boutin, Thi Hoai Thuong Nguyen, Abraham Sylla +2

This article is an account of the NABUCO project achieved during the summer camp CEMRACS 2019 devoted to geophysical fluids and gravity flows. The goal is to construct finite diffe…

math.NA2019★ 24 cited

Exponential methods for solving hyperbolic problems with application to kinetic equations

Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot

The efficient numerical solution of many kinetic models in plasma physics is impeded by the stiffness of these systems. Exponential integrators are attractive in this context as th…

math.NA2019★ 3 cited

Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2

In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity…

math.NA2019★ 1 cited

Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium

Joackim Bernier, Michel Mehrenberger

The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonli…