Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids

A technique of treating negative weights in WENO schemes

Journal of Computational Physics

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

Journal of Computational Physics

A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation

Journal of Computational Physics

Application of Second Order TVD and WENO Schemes in Internal Aerodynamics

Journal of Scientific Computing

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

Journal of Computational Physics

From continuous recovery to discrete filtering in numerical approximations of conservation laws

Applied Numerical Mathematics

Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems

Journal of Computational Physics

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Journal of Scientific Computing

Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids III: One Dimensional Systems and Partition Optimization

Journal of Scientific Computing

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case

Journal of Computational Physics

Construction of second-order accurate monotone and stable residual distribution schemes for steady problems

Journal of Computational Physics

Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions

Journal of Computational Physics

Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

Journal of Computational Physics

A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids

Journal of Computational Physics

Effect of discretization order on preconditioning and convergence of a high-order unstructured Newton-GMRES solver for the Euler equations

Journal of Computational Physics

A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases

Journal of Computational Physics

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes

Journal of Computational Physics

New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

Journal of Computational Physics

A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids

Journal of Computational Physics

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

Journal of Computational Physics

Third-order Energy Stable WENO scheme

Journal of Computational Physics

Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes

Journal of Scientific Computing

Accuracy preserving limiter for the high-order accurate solution of the Euler equations

Journal of Computational Physics

WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

Journal of Computational Physics

A high-order finite volume method for systems of conservation laws-Multi-dimensional Optimal Order Detection (MOOD)

Journal of Computational Physics

Two-Dimensional Compact Third-Order Polynomial Reconstructions. Solving Nonconservative Hyperbolic Systems Using GPUs

Journal of Scientific Computing

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction

SIAM Journal on Scientific Computing

A class of hybrid DG/FV methods for conservation laws I: Basic formulation and one-dimensional systems

Journal of Computational Physics

A class of hybrid DG/FV methods for conservation laws II: Two-dimensional cases

Journal of Computational Physics

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes

Journal of Computational Physics

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids

Journal of Computational Physics

A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods

Journal of Computational Physics

A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems

Journal of Computational Physics

A Robust Reconstruction for Unstructured WENO Schemes

Journal of Scientific Computing

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes

Journal of Computational Physics

WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows

Journal of Computational Physics

A High-Order Moving Mesh Kinetic Scheme Based on WENO Reconstruction for Compressible Flows on Unstructured Meshes

Journal of Scientific Computing

High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows

Journal of Computational Physics