Some of the publications with which I am associated:

Acta Numerica
I am the Managing Editor of Acta Numerica, an annual volume featuring commissioned substantive review articles on new and important developments in numerical mathematics.
IMA Journal of Numerical Analysis
The IMA Journal of Numerical Analysis, published by Oxford University Press on behalf of Institute of Mathematics and its Applications, and of which I am (together with Endre Suli) an Editor-in-Chief, publishes papers in numerical analysis.
Foundations of Computational Mathematics
Published by Springer Verlag on behalf of FoCM, Foundations of Computational Mathematics is devoted to top-quality papers in foundational themes in computational mathematics. I am an Editor.
Forum of Mathematics
Is a new all-electronic open access family of journals published by Cambridge University Press: FoM Pi intends to publish the absolutely top papers throughout mathematics, while FoM Sigma is a cluster of more specialised journals and the idea is that they should be as good as any throughout mathematics. I am an Editor.
Numerische Mathematik
is published by Springer Verlag. As the name implies, Numerische Mathematik specializes in numerical mathematics. I am an Editor.
Advances in Computational Mathematics
I am a member of the Editorial Board of Advances in Computational Mathematics, a journal published by Kluwer and devoted to papers in numerical analysis.
Journal of Geometric Mechanics
I am an Editor of Journal of Geometric Mechanics which is published by American Institute of Mathematical Sciences and devoted to the many exciting developments in geometric mechanics and computational differential geometry.
Journal of Fourier Analysis and Applications
I am an Editor of Journal of Fourier Analysis and Applications, something that reflect my (and not only mine) growing interest in aspects of harmonic analysis in computation and applications
Journal of Applied Mathematics and Computing
is the main Korean journal in these areas. I am an Advisory Editor.
CUP series in applied mathematics
Together with Mark Ablowitz, Steve Davis, John Hinch, John Ockendon and Peter Olver, I am an editor of the three Cambridge University Press series in applied mathematics: