Since December 2015:

Editor-in-Chief for

SIAM Journal on Numerical Analysis

(Associate Editor since December 2003)

Since  2012:

Associate Editor for

SIAM/ASA Journal on Uncertainty Quantification

April 2004 - May 2015:

Editor for

Numerische Mathematik

August 2003 - May 2015:

Associate Editor for

Journal of Computational and Applied Mathematics 

July 2007 - July 2012:

Editor for

Mathematical Methods in the Applied Sciences

December 2007 - July 2015:

Editor for

Advances in Adaptive Data Analysis (AADA)

November 2012 - August 2015:

Editor for

Mathematics, MDPI