54 citations · 160 across the 35 of their papers we have counts for
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math.NA2016★ 4 cited
Uniformly accurate exponential-type integrators for klein-gordon equations with asymptotic convergence to classical splitting schemes in the nonlinear schroedinger limit
Simon Baumstark, Erwan Faou, Katharina Schratz
We introduce efficient and robust exponential-type integrators for Klein-Gordon equations which resolve the solution in the relativistic regime as well as in the highly-oscillatory…
math.NA2016★ 4 cited
Low regularity exponential-type integrators for semilinear Schrödinger equations
Alexander Ostermann, Katharina Schratz
We introduce low regularity exponential-type integrators for nonlinear Schrödinger equations for which first-order convergence only requires the boundedness of one additional deriv…
math.NA2016★ 1 cited
An exponential-type integrator for the KdV equation
Martina Hofmanova, Katharina Schratz
We introduce an exponential-type time-integrator for the KdV equation and prove its first-order convergence in for initial data in . Furthermore, we outline the generali…