A stable and conservative interface treatment of arbitrary spatial accuracy

Entropy splitting for high-order numerical simulation of compressible turbulence

Journal of Computational Physics

On the Conservation and Convergence to Weak Solutions of Global Schemes

Journal of Scientific Computing

Boundary Procedures for Summation-by-Parts Operators

Journal of Scientific Computing

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

On Coordinate Transformations for Summation-by-Parts Operators

Journal of Scientific Computing

Stable and Accurate Artificial Dissipation

Journal of Scientific Computing

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

Applied Numerical Mathematics

Summation by parts operators for finite difference approximations of second derivatives

Journal of Computational Physics

A stable hybrid method for hyperbolic problems

Journal of Computational Physics

Short note: A high-order Padé ADI method for unsteady convection-diffusion equations

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

Stable artificial dissipation operators for finite volume schemes on unstructured grids

Applied Numerical Mathematics

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

Journal of Scientific Computing

Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations

Journal of Computational Physics

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

A methodology for the development of discrete adjoint solvers using automatic differentiation tools

International Journal of Computational Fluid Dynamics

Stable and accurate wave-propagation in discontinuous media

Journal of Computational Physics

Numerical Visualization of Vortex Flow Behavior in Square Jets in Cross-Flow

Journal of Visualization

Third-order Energy Stable WENO scheme

Journal of Computational Physics

A systematic methodology for constructing high-order energy stable WENO schemes

Journal of Computational Physics

Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids

Journal of Computational Physics

Analysis of the order of accuracy for node-centered finite volume schemes

Applied Numerical Mathematics

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

A stable and high-order accurate conjugate heat transfer problem

Journal of Computational Physics

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

Journal of Scientific Computing

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

SIAM Journal on Scientific Computing

Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes

Journal of Computational Physics

Stable Robin solid wall boundary conditions for the Navier-Stokes equations

Journal of Computational Physics

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

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

Journal of Scientific Computing

Output error estimation for summation-by-parts finite-difference schemes

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation

Journal of Scientific Computing

Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains

Applied Numerical Mathematics

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions

Journal of Computational Physics

Stability at Nonconforming Grid Interfaces for a High Order Discretization of the Schrödinger Equation

Journal of Scientific Computing

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

Journal of Computational Physics

High Order Stable Finite Difference Methods for the Schrödinger Equation

Journal of Scientific Computing

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

Journal of Scientific Computing

Energy stable flux reconstruction schemes for advection-diffusion problems on triangles

Journal of Computational Physics

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

Journal of Computational Physics

Summation-by-parts in time

Journal of Computational Physics

Dual consistency and functional accuracy: a finite-difference perspective

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

A generalized framework for nodal first derivative summation-by-parts operators

Journal of Computational Physics