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Editors' Choice

The following articles have been selected by the editors and are available to read free online. They cover articles published in 2014 and 2015.


Fully discrete analysis of the heterogeneous multiscale method for elliptic problems with multiple scales
by Assyr Abdulle and Yun Bai
January 2015

Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
by A.-C. Egloffe, A. Gloria, J.-C. Mourrat, and T. N. Nguyen
April 2015

Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
by Helge Holden, Ujjwal Koley, and Nils Henrik Risebro
July 2015

Analysis of trace finite element methods for surface partial differential equations
by Arnold Reusken
October 2015


Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes–Darcy coupling
by J. M. Melenk, H. Rezaijafari, and B. Wohlmuth
January 2014

Energy-diminishing integration of gradient systems
by Ernst Hairer and Christian Lubich
April 2014

First-order system least squares with inhomogeneous boundary conditions
by Rob P. Stevenson
July 2014

Stable phase field approximations of anisotropic solidification
by John W. Barrett, Harald Garcke, and Robert Nürnberg
October 2014

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