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Editor in chief of the Journal of Computational Physics (2015-)
 
Co-Editor in Chief of International Journal for Numerical Methods in Fluids (2011-2015)
 
Associate editor of the Journal of Computational Physics (2003-2015)
 
Associate editor of Computer and Fluids (2001-)
 
Editorial board of Mathematical Modelling and Numerical Analysis (M2AN,2002-2008)
 
Associate editor of the Journal of Scientific Computing
 
Associate editor of the International of Computing Science and Mathematics
 
Editorial board of Mathématiques et Applications (2008-)
 
Associate editor of Mathematics of Computation (2010-)
 
Editorial board of Advances in Applied Mathematics and Mechanics (2008-)
 
Associate editor of Communication in Computational Physics (2017-)