On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation

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

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

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

Journal of Scientific Computing

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

Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems

Journal of Computational Physics

A well-balanced positivity preserving "second-order" scheme for shallow water flows on unstructured meshes

Journal of Computational Physics

ADER schemes on adaptive triangular meshes for scalar conservation laws

Journal of Computational Physics

Central schemes on overlapping cells

Journal of Computational Physics

Scattered node compact finite difference-type formulas generated from radial basis functions

Journal of Computational Physics

Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems

Journal of Computational Physics

Extension of the spectral volume method to high-order boundary representation

Journal of Computational Physics

Spectral (finite) volume method for conservation laws on unstructured grids VI: Extension to viscous flow

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

The finite-volume time-domain algorithm using least square method in solving Maxwell's equations

Journal of Computational Physics

A high order ENO conservative Lagrangian type scheme for the compressible Euler equations

Journal of Computational Physics

Efficient quadrature-free high-order spectral volume method on unstructured grids: Theory and 2D implementation

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

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

Journal of Computational Physics

A high order accurate conservative remapping method on staggered meshes

Applied Numerical Mathematics

Essentially Non-Oscillatory Adaptive Tree Methods

Journal of Scientific Computing

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Journal of Computational Physics

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

Journal of Computational Physics

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

Journal of Computational Physics

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

Journal of Computational Physics

A Study of Viscous Flux Formulations for a p-Multigrid Spectral Volume Navier Stokes Solver

Journal of Scientific Computing

LDG2: A Variant of the LDG Flux Formulation for the Spectral Volume Method

Journal of Scientific Computing

A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-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

A nonlinear PDE model for reconstructing a regular surface from sampled data using a level set formulation on triangular meshes

Journal of Computational Physics

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

Journal of Scientific Computing

Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Journal of Computational Physics

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction

SIAM Journal on Scientific Computing

A Discontinuous Galerkin Solver for Front Propagation

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

Journal of Computational Physics

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

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Journal of Computational Physics