A Dual Consistent Finite Difference Method with Narrow Stencil Second Derivative Operators

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

(2014) David C. Del Rey Fernández et al.   COMPUTERS & FLUIDS

Review of summation-by-parts schemes for initial–boundary-value problems

(2014) Magnus Svärd et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Duality based boundary conditions and dual consistent finite difference discretizations of the Navier–Stokes and Euler equations

(2013) Jens Berg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Summation-by-parts operators and high-order quadrature

(2012) J.E. Hicken et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Weak and strong wall boundary procedures and convergence to steady-state of the Navier–Stokes equations

(2012) Jan Nordström et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Output error estimation for summation-by-parts finite-difference schemes

(2012) J.E. Hicken   JOURNAL OF COMPUTATIONAL PHYSICS

Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form

(2012) Jens Berg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the impact of boundary conditions on dual consistent finite difference discretizations

(2012) Jens Berg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients

(2011) Ken Mattsson   JOURNAL OF SCIENTIFIC COMPUTING

Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations

(2011) Jason E. Hicken et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Analysis of the order of accuracy for node-centered finite volume schemes

(2009) Sofia Eriksson et al.   APPLIED NUMERICAL MATHEMATICS