A conservative staggered-grid Chebyshev multidomain method for compressible flows

Dispersion Analysis for Discontinuous Spectral Element Methods

Journal of Scientific Computing

Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation

Journal of Computational Physics

Spectral (finite) volume method for conservation laws on unstructured grids: II. Extension to two-dimensional scalar equation

Journal of Computational Physics

A spectral Chebyshev method for linear stability analysis of one-dimensional exact solutions of gas dynamics

Journal of Computational Physics

A Discontinuous Spectral Element Method for the Level Set Equation

Journal of Scientific Computing

A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains

Journal of Computational Physics

Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies

Journal of Computational Physics

Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes

Journal of Scientific Computing

Spectral difference method for unstructured grids I: basic formulation

Journal of Computational Physics

Towards efficient tracking of inertial particles with high-order multidomain methods

Journal of Computational and Applied Mathematics

On the Stability and Accuracy of the Spectral Difference Method

Journal of Scientific Computing

High order multi-moment constrained finite volume method. Part I: Basic formulation

Journal of Computational Physics

Comparison of Traditional and Novel Discretization Methods for Advection Models in Numerical Weather Prediction

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

A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

Journal of Computational Physics

A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes

Journal of Computational Physics

A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy

Journal of Scientific Computing

Absorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method

Journal of Computational Physics

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

SIAM Journal on Scientific Computing

A New Class of High-Order Energy Stable Flux Reconstruction Schemes

Journal of Scientific Computing

Insights from von Neumann analysis of high-order flux reconstruction schemes

Journal of Computational Physics

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws

Journal of Computational Physics

A stable interface element scheme for the p-adaptive lifting collocation penalty formulation

Journal of Computational Physics

On the Non-linear Stability of Flux Reconstruction Schemes

Journal of Scientific Computing

Least-Squares spectral element method on a staggered grid

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Mimetic least-squares spectral/hp finite element method for the poisson equation

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements

Journal of Scientific Computing

Short Note: A comparison of the Discontinuous-Galerkin- and Spectral-Difference-Method on triangulations using PKD polynomials

Journal of Computational Physics

Short Note: A conservative correction procedure via reconstruction formulation with the Chain-Rule divergence evaluation

Journal of Computational Physics

A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes

Journal of Computational Physics

On the Connection Between the Correction and Weighting Functions in the Correction Procedure via Reconstruction Method

Journal of Scientific Computing

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

Journal of Computational Physics

On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods

Journal of Computational Physics