Strict stability of high-order compact implicit finite-difference schemes: the role of boundary conditions for hyperbolic PDEs, I

A numerical scheme for the integration of the Vlasov--Maxwell system of equations

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows

Journal of Computational Physics

A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems

Journal of Computational Physics

Large Eddy Simulation of Combustion on Massively Parallel Machines

High Performance Computing for Computational Science - VECPAR 2008

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

On a high-order compact scheme and its utilization in parallel solution of a time-dependent system on a distributed memory processor

NPC'07 Proceedings of the 2007 IFIP international conference on Network and parallel computing

Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators

Journal of Scientific Computing

Optimization, resolution and application of composite compact finite difference templates

Applied Numerical Mathematics

Numerical and Physical Instabilities in Massively Parallel LES of Reacting Flows

Journal of Scientific Computing

Derivation of Strictly Stable High Order Difference Approximations for Variable-Coefficient PDE

Journal of Scientific Computing

Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition

Journal of Computational Physics

On a high-order compact scheme and its utilization in parallel solution of a time-dependent system on a distributed memory processor

The Journal of Supercomputing

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

Journal of Computational Physics