Corrigendum to “On the relation between conservation and dual consistency for summation-by-parts schemes” [J. Comput. Phys. 344 (2017) 437–439] (S0021999117303601) (10.1016/j.jcp.2017.04.072))

A few notational errors were recently discovered in the above publication. • The notation used in the note is valid for fluxes of the form [Formula presented] where [Formula presented] is [Formula presented] constant symmetric matrix.• The matrices [Formula presented] and [Formula presented] given in (10) should be transposed.• We show that Proposition 1 in the note is valid even if [Formula presented] and [Formula presented] are variable, non-symmetric as well as equal and invertible at the interface.The dual problem with interface conditions (neglecting boundary conditions) is [Formula presented] where [Formula presented] and [Formula presented]. The semi-discrete primal problem with variable [Formula presented] is [Formula presented] where [Formula presented] are given in the note and [Formula presented] are block diagonal matrices approximating [Formula presented] at pointwise positions in x respectively. The semi-discrete dual problem related to (2) is [Formula presented]. Substituting L from (2) leads to [Formula presented] where [Formula presented] is given in the note. The vector [Formula presented] approximates [Formula presented] and [Formula presented] impose the dual interface conditions if and only if the conservation condition (7) in the note is satisfied. Hence (3) is a dual consistent approximation of (1), and Proposition 1 holds also in this case. The authors would like to apologise for any inconvenience caused and thank Dr Sofia Eriksson for spotting the errors.