The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: a study of the boundary error

An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations

Journal of Computational Physics

Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers

Journal of Scientific Computing

Deferred Correction Methods for Initial Boundary Value Problems

Journal of Scientific Computing

Deferred Correction in Space and Time

Journal of Scientific Computing

Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Mathematics of Computation

Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows

Journal of Computational Physics

Semi-implicit projection methods for incompressible flow based on spectral deferred corrections

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

High-order multi-implicit spectral deferred correction methods for problems of reactive flow

Journal of Computational Physics

Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics

Journal of Computational Physics

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

Journal of Computational Physics

Time Compact High Order Difference Methods for Wave Propagation, 2D

Journal of Scientific Computing

Error estimates for deferred correction methods in time

Applied Numerical Mathematics

Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement

Journal of Computational Physics

Explicit Time Stepping Methods with High Stage Order and Monotonicity Properties

ICCS 2009 Proceedings of the 9th International Conference on Computational Science

On maximum-principle-satisfying high order schemes for scalar conservation laws

Journal of Computational Physics

Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws

Journal of Computational Physics

Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Linear Conservation Law with Inflow Boundary Condition

Journal of Scientific Computing

Extrapolated Implicit-Explicit Time Stepping

SIAM Journal on Scientific Computing

Optimal Explicit Strong-Stability-Preserving General Linear Methods

SIAM Journal on Scientific Computing

Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations

Journal of Computational Physics

A high order moving boundary treatment for compressible inviscid flows

Journal of Computational Physics

A spectral FC solver for the compressible Navier-Stokes equations in general domains I: Explicit time-stepping

Journal of Computational Physics

Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws

Journal of Computational Physics

Accuracy analysis of explicit Runge-Kutta methods applied to the incompressible Navier-Stokes equations

Journal of Computational Physics