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20122026
most citedError estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

54 citations · 160 across the 35 of their papers we have counts for

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math.NA2012

Analysis of exponential splitting methods for inhomogeneous parabolic equations

Erwan Faou, Alexander Ostermann, Katharina Schratz

We analyze the convergence of the exponential Lie and exponential Strang splitting applied to inhomogeneous second-order parabolic equations with Dirichlet boundary conditions. A r…

math.NA2012★ 1 cited

Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime

Erwan Faou, Katharina Schratz

We consider the Klein-Gordon equation in the non-relativistic limit regime, i.e. the speed of light c tending to infinity. We construct an asymptotic expansion for the solution wit…