The stability of numerical boundary treatments for compact high-order finite-difference schemes

Boundary Procedures for Summation-by-Parts Operators

Journal of Scientific Computing

High Order Finite Difference Approximations of Electromagnetic Wave Propagation Close to Material Discontinuities

Journal of Scientific Computing

Strategies for Adopting FVTD on Multicomputers

Computing in Science and Engineering

Direct numerical simulation of spatial transition to turbulence using fourth-order vertical velocity second-order vertical vorticity formulation

Journal of Computational Physics

On the use of higher-order finite-difference schemes on curvilinear and deforming meshes

Journal of Computational Physics

On Coordinate Transformations for Summation-by-Parts Operators

Journal of Scientific Computing

High-order non-uniform grid schemes for numerical simulation of hypersonic boundary-layer stability and transition

Journal of Computational Physics

Optimized prefactored compact schemes

Journal of Computational Physics

Analysis of central and upwind compact schemes

Journal of Computational Physics

Stable and Accurate Artificial Dissipation

Journal of Scientific Computing

Finite Volume Formulation of Compact Upwind and Central Schemes with Artificial Selective Damping

Journal of Scientific Computing

Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids

Applied Numerical Mathematics

Summation by parts operators for finite difference approximations of second derivatives

Journal of Computational Physics

An implicit compact scheme solver with application to chemically reacting flows

Journal of Computational Physics

Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation

Journal of Computational Physics

An asymptotically stable compact upwind-biased finite-difference scheme for hyperbolic systems

Journal of Computational Physics

Stability Analysis of Difference Methods for Parabolic Initial Value Problems

Journal of Scientific Computing

High-resolution finite compact difference schemes for hyperbolic conservation laws

Journal of Computational Physics

Analysis of a new high resolution upwind compact scheme

Journal of Computational Physics

High order finite difference methods for wave propagation in discontinuous media

Journal of Computational Physics

The spatial resolution properties of composite compact finite differencing

Journal of Computational Physics

High-order accurate modeling of electromagnetic wave propagation across media: grid conforming bodies

Journal of Computational Physics

Optimised boundary compact finite difference schemes for computational aeroacoustics

Journal of Computational Physics

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Journal of Computational Physics

On the outflow conditions for spectral solution of the viscous blunt-body problem

Journal of Computational Physics

Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids

Journal of Computational Physics

A low numerical dissipation immersed interface method for the compressible Navier-Stokes equations

Journal of Computational Physics

Compact upwind schemes on adaptive octrees

Journal of Computational Physics

A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations

Journal of Scientific Computing

Finite difference on grids with nearly uniform cell area and line spacing for the wave equation on complex domains

Journal of Computational and Applied Mathematics

On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions

Journal of Computational Physics

Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids

Journal of Computational Physics

Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System

Journal of Scientific Computing

Optimization, resolution and application of composite compact finite difference templates

Applied Numerical Mathematics

DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation

Journal of Computational Physics

An optimized spectral difference scheme for CAA problems

Journal of Computational Physics

A three-point sixth-order staggered combined compact difference scheme

Mathematical and Computer Modelling: An International Journal

Recent Advances in the Study of a Fourth-Order Compact Scheme for the One-Dimensional Biharmonic Equation

Journal of Scientific Computing

A block interface flux reconstruction method for numerical simulation with high order finite difference scheme

Journal of Computational Physics

Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filters

Journal of Computational Physics

A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries

Journal of Computational Physics

Optimal diagonal-norm SBP operators

Journal of Computational Physics