High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates

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

Journal of Scientific Computing

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

Applied Numerical Mathematics

A multidomain spectral method for supersonic reactive flows

Journal of Computational Physics

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

Applied Numerical Mathematics

A stable hybrid method for hyperbolic problems

Journal of Computational Physics

On the order of accuracy for difference approximations of initial-boundary value problems

Journal of Computational Physics

High order finite difference methods for wave propagation in discontinuous media

Journal of Computational Physics

Grid stabilization of high-order one-sided differencing I: First-order hyperbolic systems

Journal of Computational Physics

Optimized High-Order Derivative and Dissipation Operators Satisfying Summation by Parts, and Applications in Three-dimensional Multi-block Evolutions

Journal of Scientific Computing

A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions

Journal of Computational Physics

A stable and efficient hybrid scheme for viscous problems in complex geometries

Journal of Computational Physics

A stable high-order finite difference scheme for the compressible Navier-Stokes equations

Journal of Computational Physics

Numerical analysis of the Burgers' equation in the presence of uncertainty

Journal of Computational Physics

A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

Journal of Computational Physics

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

SIAM Journal on Scientific Computing

Interface procedures for finite difference approximations of the advection-diffusion equation

Journal of Computational and Applied Mathematics

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

Interaction of Waves with Frictional Interfaces Using Summation-by-Parts Difference Operators: Weak Enforcement of Nonlinear Boundary Conditions

Journal of Scientific Computing

Parallel seismic propagation simulation in anisotropic media by irregular grids finite difference method on PC cluster

ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV

Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

Journal of Computational Physics

On the impact of boundary conditions on dual consistent finite difference discretizations

Journal of Computational Physics

Simulation of Dynamic Earthquake Ruptures in Complex Geometries Using High-Order Finite Difference Methods

Journal of Scientific Computing

High-order accurate difference schemes for the Hodgkin-Huxley equations

Journal of Computational Physics

Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations

Journal of Computational Physics

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

Journal of Computational Physics

Optimal diagonal-norm SBP operators

Journal of Computational Physics