Inverses of SBP-SAT Finite Difference Operators Approximating the First and Second Derivative

Properties of Runge-Kutta-Summation-By-Parts methods

(2020) Viktor Linders et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2017) Sofia Eriksson   JOURNAL OF SCIENTIFIC COMPUTING

Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation

(2016) Siyang Wang et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

A generalized framework for nodal first derivative summation-by-parts operators

(2014) David C. Del Rey Fernández et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A solution to the stability issues with block norm summation by parts operators

(2013) Ken Mattsson 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

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

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

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

A stable high-order finite difference scheme for the compressible Navier–Stokes equations

(2008) Magnus Svärd et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stable and accurate wave-propagation in discontinuous media

(2008) Ken Mattsson et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stable and accurate schemes for the compressible Navier–Stokes equations

(2007) K. Mattsson et al.   JOURNAL OF COMPUTATIONAL PHYSICS