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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…
math.NA2014
A regularity result for quasilinear stochastic partial differential equations of parabolic type
Arnaud Debussche, Sylvain De Moor, Martina Hofmanova
We consider a quasilinear parabolic stochastic partial differential equation driven by a multiplicative noise and study regularity properties of its weak solution satisfying classi…