The stability of numerical boundary treatments for compact high-order finite-difference schemes
Journal of Computational Physics
Summation by parts for finite difference approximations for d/dx
Journal of Computational Physics
A stable and conservative interface treatment of arbitrary spatial accuracy
Journal of Computational Physics
On the order of accuracy for difference approximations of initial-boundary value problems
Journal of Computational Physics
Grid stabilization of high-order one-sided differencing I: First-order hyperbolic systems
Journal of Computational Physics
Journal of Computational Physics
A stable high-order finite difference scheme for the compressible Navier-Stokes equations
Journal of Computational Physics
Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators
Journal of Scientific Computing
Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
SIAM Journal on Scientific Computing
Journal of Computational Physics
Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
SIAM Journal on Scientific Computing
Derivation of Strictly Stable High Order Difference Approximations for Variable-Coefficient PDE
Journal of Scientific Computing
Journal of Computational Physics
Journal of Scientific Computing
Summation-by-parts operators and high-order quadrature
Journal of Computational and Applied Mathematics
Grid stabilization of high-order one-sided differencing II: Second-order wave equations
Journal of Computational Physics
On the impact of boundary conditions on dual consistent finite difference discretizations
Journal of Computational Physics
Journal of Computational Physics
Dual consistency and functional accuracy: a finite-difference perspective
Journal of Computational Physics
Journal of Computational Physics
Optimal diagonal-norm SBP operators
Journal of Computational Physics
A generalized framework for nodal first derivative summation-by-parts operators
Journal of Computational Physics
Hi-index | 0.07 |
High order finite difference methods obeying a summation-by-parts (SBP) rule are developed for equidistant grids. With curvilinear grids, a coordinate transformation operator that does not destroy the SBP property must be used. We show that it is impossible to construct such an operator without decreasing the order of accuracy of the method.