Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

A technique of treating negative weights in WENO schemes

Journal of Computational Physics

Conservative hybrid compact-WENO schemes for shock-turbulence interaction

Journal of Computational Physics

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

Journal of Computational Physics

ADER: Arbitrary High Order Godunov Approach

Journal of Scientific Computing

ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

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

On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes

Journal of Computational Physics

Shock capturing, level sets, and PDE based methods in computer vision and image processing: a review of Osher's contributions

Journal of Computational Physics

A further study of numerical errors in large-eddy simulations

Journal of Computational Physics

Resolution of high order WENO schemes for complicated flow structures

Journal of Computational Physics

Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows

Journal of Computational Physics

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Journal of Scientific Computing

High resolution conjugate filters for the simulation of flows

Journal of Computational Physics

A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

Journal of Computational Physics

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

Journal of Computational Physics

A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws

Journal of Computational Physics

High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations

Journal of Computational Physics

WENO schemes for balance laws with spatially varying flux

Journal of Computational Physics

Finite-volume WENO schemes for three-dimensional conservation laws

Journal of Computational Physics

High order WENO schemes: investigations on non-uniform converges for MHD Riemann problems

Journal of Computational Physics

ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions

Journal of Computational Physics

Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling

Journal of Scientific Computing

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow

Journal of Scientific Computing

ADER schemes for three-dimensional non-linear hyperbolic systems

Journal of Computational Physics

Anti-diffusive flux corrections for high order finite difference WENO schemes

Journal of Computational Physics

Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points

Journal of Computational Physics

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Journal of Computational Physics

TVD Fluxes for the High-Order ADER Schemes

Journal of Scientific Computing

High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Journal of Scientific Computing

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics

Adaptive characteristics-based matching for compressible multifluid dynamics

Journal of Computational Physics

Improving Godunov-type reconstructions for simulation of vortex-dominated flows

Journal of Computational Physics

A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis

Journal of Computational Physics

Direct-expansion forms of ADER schemes for conservation laws and their verification

Journal of Computational Physics

Short note: On the spectral properties of shock-capturing schemes

Journal of Computational Physics

A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows

Journal of Computational Physics

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

Journal of Computational Physics

Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability

Journal of Computational Physics

δ-mapping algorithm coupled with WENO reconstruction for nonlinear elasticity in heterogeneous media

Applied Numerical Mathematics

High order Hybrid central-WENO finite difference scheme for conservation laws

Journal of Computational and Applied Mathematics

High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set

Journal of Computational Physics

Vorticity-preserving schemes for the compressible Euler equations

Journal of Computational Physics

Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations

Journal of Computational Physics

On the implicit large eddy simulations of homogeneous decaying turbulence

Journal of Computational Physics

A new family of high-order compact upwind difference schemes with good spectral resolution

Journal of Computational Physics

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

Journal of Computational Physics

Multi-dimensional limiting process for three-dimensional flow physics analyses

Journal of Computational Physics

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Journal of Computational Physics

Non-oscillatory central-upwind scheme for hyperbolic conservation laws

International Journal of Computational Fluid Dynamics

Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes

Journal of Computational Physics

A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks

Journal of Computational Physics

A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations

Journal of Computational Physics

Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence

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

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

Journal of Computational Physics

Numerical simulation of free surface flows with the level set method using an extremely high-order accuracy WENO advection scheme

International Journal of Computational Fluid Dynamics

An evaluation of the FCT method for high-speed flows on structured overlapping grids

Journal of Computational Physics

Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

Journal of Computational Physics

Piecewise parabolic method on a local stencil for magnetized supersonic turbulence simulation

Journal of Computational Physics

Exact and approximate solutions of Riemann problems in non-linear elasticity

Journal of Computational Physics

High order conservative differencing for viscous terms and the application to vortex-induced vibration flows

Journal of Computational Physics

Very-high-order weno schemes

Journal of Computational Physics

A conservative high order semi-Lagrangian WENO method for the Vlasov equation

Journal of Computational Physics

A hybrid, center-difference, limiter method for simulations of compressible multicomponent flows with Mie-Grüneisen equation of state

Journal of Computational Physics

A hybrid numerical simulation of isotropic compressible turbulence

Journal of Computational Physics

An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces

Journal of Computational Physics

High-order conservative finite difference GLM-MHD schemes for cell-centered MHD

Journal of Computational Physics

A weighted-integral based scheme

Journal of Computational Physics

Hybrid weighted essentially non-oscillatory schemes with different indicators

Journal of Computational Physics

Large eddy simulation using a new set of sixth order schemes for compressible viscous terms

Journal of Computational Physics

Nonlinear data-bounded polynomial approximations and their applications in ENO methods

Numerical Algorithms

An adaptive central-upwind weighted essentially non-oscillatory scheme

Journal of Computational Physics

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

Journal of Computational Physics

Approximation error of the Lagrange reconstructing polynomial

Journal of Approximation Theory

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

Journal of Computational Physics

A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes

Journal of Scientific Computing

Generalized finite compact difference scheme for shock/complex flowfield interaction

Journal of Computational Physics

Anti-diffusion method for interface steepening in two-phase incompressible flow

Journal of Computational Physics

Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes

Journal of Scientific Computing

Scale separation for implicit large eddy simulation

Journal of Computational Physics

A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios

Journal of Computational Physics

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

Journal of Computational Physics

High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model

Journal of Computational and Applied Mathematics

Analysis of WENO Schemes for Full and Global Accuracy

SIAM Journal on Numerical Analysis

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

SIAM Journal on Scientific Computing

An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization

Numerical Algorithms

Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement

Journal of Computational Physics

Representation of the Lagrange reconstructing polynomial by combination of substencils

Journal of Computational and Applied Mathematics

A New Mapped Weighted Essentially Non-oscillatory Scheme

Journal of Scientific Computing

A conservative level-set based method for compressible solid/fluid problems on fixed grids

Journal of Computational Physics

Strong Stability Preserving Two-step Runge-Kutta Methods

SIAM Journal on Numerical Analysis

A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Journal of Computational Physics

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

Journal of Computational Physics

Short Note: Conservative metric evaluation for high-order finite difference schemes with the GCL identities on moving and deforming grids

Journal of Computational Physics

An improved weighted essentially non-oscillatory scheme with a new smoothness indicator

Journal of Computational Physics

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

Journal of Computational Physics

Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Journal of Computational Physics

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods

Journal of Computational Physics

A ghost fluid method for compressible reacting flows with phase change

Journal of Computational Physics

High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields

Journal of Scientific Computing

Eulerian adaptive finite-difference method for high-velocity impact and penetration problems

Journal of Computational Physics

Low-diffusivity scalar transport using a WENO scheme and dual meshing

Journal of Computational Physics

Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes

Journal of Computational Physics

An Optimized Low-Dissipation Monotonicity-Preserving Scheme for Numerical Simulations of High-Speed Turbulent Flows

Journal of Scientific Computing

A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme

Journal of Computational Physics

A HLL-Rankine-Hugoniot Riemann solver for complex non-linear hyperbolic problems

Journal of Computational Physics

Divergence-free-preserving high-order schemes for magnetohydrodynamics: An artificial magnetic resistivity method

Journal of Computational Physics

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

Journal of Computational Physics

Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids

Journal of Computational Physics

A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws

Journal of Computational Physics

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

Journal of Computational Physics