Publisher Correction: Ephemeral elements

Publisher Correction: Interferometer techniques for gravitational-wave detection

Publisher Correction: Hysteresis of ligand binding in CNGA2 ion channels

This corrects the article DOI: 10.1038/ncomms3866.

Publisher Correction: Wave energy budget analysis in the Earth’s radiation belts uncovers a missing energy

This corrects the article DOI: 10.1038/ncomms8143.

Publisher Correction: Is wave–particle objectivity compatible with determinism and locality?

This corrects the article DOI: 10.1038/ncomms5997.

Flux correction tools for finite elements

Peculiarities of flux correction in the finite element context are investigated. Criteria for positivity of the numerical solution are formulated, and the low-order transport operator is constructed from the discrete high-order operator by adding modulated dissipation so as to eliminate negative off-diagonal entries. The corresponding antidiffusive terms can be decomposed into a sum of genuine ...