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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 2017 and 2018.

2018

Parametric PDEs: sparse or low-rank approximations?
by Markus Bachmayr, Albert Cohen, and Wolfgang Dahmen

A finite element method for quantum graphs
by Mario Arioli and Michele Benzi

R-linear convergence of limited memory steepest descent
by Frank E Curtis and Wei Guo

Properties of Hamiltonian variational integrators
by Jeremy M Schmitt and Melvin Leok

2017

Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
by Daniele A. Di Pietro and Alexandre Ern

On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
by Charles M. Elliott and Hans Fritz

Refinable spaces and local approximation estimates for hierarchical splines
by Annalisa Buffa and Eduardo M. Garau

Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature
by John W Barrett, Harald Garcke, and Robert Nürnberg

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