A family of high order finite difference schemes with good spectral resolution

Generalization of the Spline Interpolation Based on the Principle of the Compact Schemes

Journal of Scientific Computing

A new compact spectral scheme for turbulence simulations

Journal of Computational Physics

A fast solver of the shallow water equations on a sphere using a combined compact difference scheme

Journal of Computational Physics

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

Journal of Computational Physics

High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations

Journal of Computational Physics

A family of low dispersive and low dissipative explicit schemes for flow and noise computations

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

A staggered compact finite difference formulation for the compressible Navier-Stokes equations

Journal of Computational Physics

A low-cost parallel implementation of direct numerical simulation of wall turbulence

Journal of Computational Physics

A staggered grid, high-order accurate method for the incompressible Navier-Stokes equations

Journal of Computational Physics

A characteristic-based shock-capturing scheme for hyperbolic problems

Journal of Computational Physics

A new family of high-order compact upwind difference schemes with good spectral resolution

Journal of Computational Physics

Multidimensional optimization of finite difference schemes for Computational Aeroacoustics

Journal of Computational Physics

Compact finite volume schemes on boundary-fitted grids

Journal of Computational Physics

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Journal of Computational Physics

A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

Journal of Computational Physics

Further improvement and analysis of CCD scheme: Dissipation discretization and de-aliasing properties

Journal of Computational Physics

A robust, colocated, implicit algorithm for direct numerical simulation of compressible, turbulent flows

Journal of Computational Physics

A hybrid numerical simulation of isotropic compressible turbulence

Journal of Computational Physics

A high-order cut-cell method for numerical simulation of hypersonic boundary-layer instability with surface roughness

Journal of Computational Physics

Spectral compact difference hybrid computation of passive scalar in isotropic turbulence

Journal of Computational Physics

Combined compact difference scheme for linear second-order partial differential equations with mixed derivative

Journal of Computational and Applied Mathematics

On the effective accuracy of spectral-like optimized finite-difference schemes for computational aeroacoustics

Journal of Computational Physics

Error dynamics of diffusion equation: Effects of numerical diffusion and dispersive diffusion

Journal of Computational Physics