Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes

On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence

Journal of Scientific Computing

Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

Applied Numerical Mathematics

Stable and Accurate Artificial Dissipation

Journal of Scientific Computing

Summation by parts operators for finite difference approximations of second derivatives

Journal of Computational Physics

Bounded Error Schemes for the Wave Equation on Complex Domains

Journal of Scientific Computing

High order finite difference methods for wave propagation in discontinuous media

Journal of Computational Physics

High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

Journal of Scientific Computing

A Cartesian Embedded Boundary Method for the Compressible Navier-Stokes Equations

Journal of Scientific Computing

High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations

Journal of Computational Physics

Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods

SIAM Journal on Scientific Computing

High-fidelity numerical solution of the time-dependent Dirac equation

Journal of Computational Physics

Optimal diagonal-norm SBP operators

Journal of Computational Physics