Efficient implementation of weighted ENO schemes

A Local Extrapolation Method for Hyperbolic Conservation Laws. I. The ENO Underlying Schemes

Journal of Scientific Computing

Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics

Journal of Scientific Computing

Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods

Journal of Scientific Computing

A nonlinear flux split method for hyperbolic conservation laws

Journal of Computational Physics

A technique of treating negative weights in WENO schemes

Journal of Computational Physics

An essentially nonoscillatory high-order padé-type (ENO-padé) scheme

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

Shock bowing and vorticity dynamics during propagation into different transverse density profiles

Physica D

Application of Second Order TVD and WENO Schemes in Internal Aerodynamics

Journal of Scientific Computing

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

Conjugate filter approach for solving Burgers' equation

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

Finite volume evolution Galerkin methods for nonlinear hyperbolic systems

Journal of Computational Physics

Applications of Weighted Compact Scheme to Curvilinear System

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications

Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods

Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II

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 flux-split algorithm applied to conservative models for multicomponent compressible flows

Journal of Computational Physics

An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces

Journal of Computational Physics

A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods

Journal of Computational Physics

Resolution of high order WENO schemes for complicated flow structures

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions

Journal of Computational Physics

A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations

Journal of Scientific Computing

A Level Set Approach for the Numerical Simulation of Dendritic Growth

Journal of Scientific Computing

Numerical Simulation of Pulse Detonation Engine Phenomena

Journal of Scientific Computing

Shock-Vortex Interactions at High Mach Numbers

Journal of Scientific Computing

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Journal of Scientific Computing

An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface

Journal of Scientific Computing

High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton--Jacobi equations

Journal of Computational Physics

A Numerical Study on Large-Time Asymptotics of the Lifshitz–Slyozov System

Journal of Scientific Computing

Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods

Journal of Scientific Computing

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

Kinetic energy fix for low internal energy flows

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

Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

An Antidiffusive Entropy Scheme for Monotone Scalar Conservation Laws

Journal of Scientific Computing

A high-wavenumber viscosity for high-resolution numerical methods

Journal of Computational Physics

Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow

Journal of Computational Physics

A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov

Journal of Computational Physics

Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation

Applied Numerical Mathematics - Special issue: Applied scientific computing - Grid generation, approximated solutions and visualization

High-order schemes for Hamilton-Jacobi equations on triangular meshes

Journal of Computational and Applied Mathematics

A central-constrained transport scheme for ideal magnetohydrodynamics

Journal of Computational Physics

Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks

Journal of Computational Physics

Power ENO methods: a fifth-order accurate weighted power ENO method

Journal of Computational Physics

Instability-wave propagation in boundary-layer flows at subsonic through hypersonic Mach numbers

Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications

An interface interaction method for compressible multifluids

Journal of Computational Physics

High Accuracy Compact Schemes and Gibbs' Phenomenon

Journal of Scientific Computing

Discretization errors in large eddy simulation: on the suitability of centered and upwind-biased compact difference schemes

Journal of Computational Physics

WENO schemes for balance laws with spatially varying flux

Journal of Computational Physics

Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas

Journal of Computational Physics

Implicit subgrid-scale modeling by adaptive deconvolution

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

Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth

Journal of Computational Physics

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

Journal of Computational Physics

A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

Journal of Computational Physics

Hermite WENO schemes for Hamilton-Jacobi equations

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

Short Note: Interaction of a shock with a density disturbance via shock fitting

Journal of Computational Physics

ADER schemes for three-dimensional non-linear hyperbolic systems

Journal of Computational Physics

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

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

Journal of Computational Physics

ADER schemes on adaptive triangular meshes for scalar conservation laws

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

Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows

Journal of Computational Physics

Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows

Journal of Computational Physics

Central schemes on overlapping cells

Journal of Computational Physics

A second order primitive preconditioner for solving all speed multi-phase flows

Journal of Computational Physics

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

Journal of Computational Physics

A level-set method for interfacial flows with surfactant

Journal of Computational Physics

A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway

Journal of Computational Physics

A direct multigroup-WENO solver for the 2D non-stationary Boltzmann-Poisson system for GaAs devices: GaAs-MESFET

Journal of Computational Physics

Non-Linear Filtering and Limiting in High Order Methods for Ideal and Non-Ideal MHD

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

A Fifth Order Flux Implicit WENO Method

Journal of Scientific Computing

On the Total Variation of High-Order Semi-Discrete Central Schemes for Conservation Laws

Journal of Scientific Computing

Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations

Journal of Scientific Computing

A windowed Fourier pseudospectral method for hyperbolic conservation laws

Journal of Computational Physics

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

High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes

Journal of Computational Physics

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods

Journal of Computational Physics

Simulations of pulsating one-dimensional detonations with true fifth order accuracy

Journal of Computational Physics

An adaptive local deconvolution method for implicit LES

Journal of Computational Physics

Optimally-stable second-order accurate difference schemes for non-linear conservation laws in 3D

Applied Numerical Mathematics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ

Stable coupling between vector and scalar variables for the IDO scheme on collocated grids

Journal of Computational Physics

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

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

High-resolution finite compact difference schemes for hyperbolic conservation laws

Journal of Computational Physics

Fourth order partial differential equations on general geometries

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

High order schemes based on upwind schemes with modified coefficients

Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)

Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations

Applied Numerical Mathematics - Numerical methods for viscosity solutions and applications

Predicting shock dynamics in the presence of uncertainties

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

Journal of Computational Physics

Implementation of WENO schemes in compressible multicomponent flow problems

Journal of Computational Physics

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

Journal of Computational Physics

A conservative interface method for compressible flows

Journal of Computational Physics

A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence

Journal of Computational Physics

Maintaining the point correspondence in the level set framework

Journal of Computational Physics

Explicit solutions to a convection-reaction equation and defects of numerical schemes

Journal of Computational Physics

Sharp interface tracking using the phase-field equation

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

WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

A Level Set Method for vaporizing two-phase flows

Journal of Computational Physics

An artificial nonlinear diffusivity method for supersonic reacting flows with shocks

Journal of Computational Physics

High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics

Journal of Computational Physics

CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Journal of Computational Physics

A note on the conservative schemes for the Euler equations

Journal of Computational Physics

A Numerical Comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes

Journal of Scientific Computing

Stencil Adaptation Properties of a WENO Scheme in Direct Numerical Simulations of Compressible Turbulence

Journal of Scientific Computing

Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence

Journal of Computational Physics

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

Applied Numerical Mathematics

A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations

Journal of Scientific Computing

A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions

Journal of Scientific Computing

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

Journal of Computational and Applied Mathematics

Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws

Journal of Computational Physics

High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes

Journal of Computational Physics

An immersed boundary method for complex incompressible flows

Journal of Computational Physics

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

Journal of Computational Physics

A variational approach to Eulerian geometry processing

ACM SIGGRAPH 2007 papers

Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems

Journal of Computational Physics

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

Journal of Computational Physics

A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations

Journal of Computational Physics

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

Journal of Computational Physics

A characteristic-based shock-capturing scheme for hyperbolic problems

Journal of Computational Physics

Data-dependent MLS for faithful surface approximation

SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing

Towards front-tracking based on conservation in two space dimensions II, tracking discontinuities in capturing fashion

Journal of Computational Physics

On the implicit large eddy simulations of homogeneous decaying turbulence

Journal of Computational Physics

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

Journal of Computational Physics

High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

A simple embedding method for solving partial differential equations on surfaces

Journal of Computational Physics

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Journal of Computational Physics

Solvers for the high-order Riemann problem for hyperbolic balance laws

Journal of Computational Physics

Stability criteria for hybrid difference methods

Journal of Computational Physics

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

Journal of Computational Physics

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD

Journal of Computational Physics

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

Journal of Computational Physics

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

Journal of Computational Physics

A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries

Journal of Computational Physics

A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws

Applied Numerical Mathematics

Three-dimensional boundary conditions for direct and large-eddy simulation of compressible viscous flows

Journal of Computational Physics

Selective monotonicity preservation in scalar advection

Journal of Computational Physics

A DGBGK scheme based on WENO limiters for viscous and inviscid flows

Journal of Computational Physics

An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate

Applied Numerical Mathematics

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

Journal of Computational Physics

On stability condition for bifluid flows with surface tension: Application to microfluidics

Journal of Computational Physics

Prediction of cavitating flow noise by direct numerical simulation

Journal of Computational Physics

Essentially Non-Oscillatory Adaptive Tree Methods

Journal of Scientific Computing

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Journal of Computational Physics

High order conservative finite difference scheme for variable density low Mach number turbulent flows

Journal of Computational Physics

On the numerical solution of a driven thin film equation

Journal of Computational Physics

Characteristic boundary conditions with finite-volume ENO scheme for aeroacoustic simulations

International Journal of Computational Fluid Dynamics

Non-oscillatory central-upwind scheme for hyperbolic conservation laws

International Journal of Computational Fluid Dynamics

An accurate conservative level set/ghost fluid method for simulating turbulent atomization

Journal of Computational Physics

Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number

Journal of Computational Physics

A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth

Journal of Scientific Computing

A Numerical Method for Free-Surface Flows and Its Application to Droplet Impact on a Thin Liquid Layer

Journal of Scientific Computing

Level Set Equations on Surfaces via the Closest Point Method

Journal of Scientific Computing

Level set methods for optimization problems involving geometry and constraints II. Optimization over a fixed surface

Journal of Computational Physics

Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes

Journal of Computational Physics

A class of residual distribution schemes and their relation to relaxation systems

Journal of Computational Physics

Characteristic-Based Schemes for Multi-Class Lighthill-Whitham-Richards Traffic Models

Journal of Scientific Computing

Implicit preconditioned WENO scheme for steady viscous flow computation

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

A spectrally refined interface approach for simulating multiphase flows

Journal of Computational Physics

High Order Strong Stability Preserving Time Discretizations

Journal of Scientific Computing

A central conservative scheme for general rectangular grids

Journal of Computational Physics

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

Journal of Computational Physics

A high-order incompressible flow solver with WENO

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

Short Note: Effects of difference scheme type in high-order weighted compact nonlinear schemes

Journal of Computational Physics

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

Journal of Computational Physics

Compact third-order limiter functions for finite volume methods

Journal of Computational Physics

A method for avoiding the acoustic time step restriction in compressible flow

Journal of Computational Physics

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

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

Coupled fluid-structure solver: The case of shock wave impact on monolithic and composite material plates

Journal of Computational Physics

Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes

Journal of Scientific Computing

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

Hierarchical reconstruction for spectral volume method on unstructured grids

Journal of Computational Physics

On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow

Journal of Computational Physics

Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design

Journal of Computational Physics

A massively parallel multi-block hybrid compact-WENO scheme for compressible flows

Journal of Computational Physics

High-order well-balanced schemes and applications to non-equilibrium flow

Journal of Computational Physics

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case

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

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

Journal of Computational Physics

High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations

Journal of Computational Physics

Very-high-order weno schemes

Journal of Computational Physics

Optimally-stable second-order accurate difference schemes for non-linear conservation laws in 3D

Applied Numerical Mathematics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics

Finite element form of FDV for widely varying flowfields

Journal of Computational Physics

Eulerian-Lagrangian multiscale methods for solving scalar equations - Application to incompressible two-phase flows

Journal of Computational Physics

The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship

Transportation Science

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

Journal of Computational Physics

Compact upwind schemes on adaptive octrees

Journal of Computational Physics

Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves

Journal of Computational Physics

A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids

Journal of Computational Physics

Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows

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

On maximum-principle-satisfying high order schemes for scalar conservation laws

Journal of Computational Physics

Monoslope and multislope MUSCL methods for unstructured meshes

Journal of Computational Physics

Direct numerical simulations of instability-wave generation and propagation in supersonic boundary layers

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII

Point-Value WENO Multiresolution Applications to Stable Image Compression

Journal of Scientific Computing

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

A high-order cut-cell method for numerical simulation of hypersonic boundary-layer instability with surface roughness

Journal of Computational Physics

A high-order gas-kinetic Navier-Stokes flow solver

Journal of Computational Physics

On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions

Journal of Computational Physics

Hybrid weighted essentially non-oscillatory schemes with different indicators

Journal of Computational Physics

Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws

Journal of Computational Physics

High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions

Journal of Computational Physics

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

Journal of Computational Physics

High-order incompressible large-eddy simulation of fully inhomogeneous turbulent flows

Journal of Computational Physics

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Journal of Computational Physics

An adaptive central-upwind weighted essentially non-oscillatory scheme

Journal of Computational Physics

An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids

Journal of Computational Physics

A shock-detecting sensor for filtering of high-order compact finite difference schemes

Journal of Computational Physics

A full Eulerian finite difference approach for solving fluid-structure coupling problems

Journal of Computational Physics

A flux-form version of the conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed sphere grid

Journal of Computational Physics

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Journal of Computational Physics

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

Journal of Computational Physics

Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow

Journal of Computational Physics

A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics

Journal of Computational Physics

Geometric conservation law and applications to high-order finite difference schemes with stationary grids

Journal of Computational Physics

RKDG methods with WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations

Applied Numerical Mathematics

Approximation error of the Lagrange reconstructing polynomial

Journal of Approximation Theory

On the use of immersed boundary methods for shock/obstacle interactions

Journal of Computational Physics

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

Journal of Computational Physics

On the implementation of WENO schemes for a class of polydisperse sedimentation models

Journal of Computational Physics

Numerical Method for Interaction Among Multi-particle, Fluid and Arbitrary Shape Structure

Journal of Scientific Computing

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

Journal of Scientific Computing

Relaxation method for unsteady convection-diffusion equations

Computers & Mathematics with Applications

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

Journal of Computational Physics

A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations

Journal of Computational Physics

A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

SIAM Journal on Numerical Analysis

Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking

SIAM Journal on Scientific Computing

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

Journal of Computational Physics

Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations

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

Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms

Advances in Computational Mathematics

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

Journal of Scientific Computing

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Journal of Scientific Computing

On the Linear Stability of the Fifth-Order WENO Discretization

Journal of Scientific Computing

Numerical Study of Compressible Mixing Layers Using High-Order WENO Schemes

Journal of Scientific Computing

A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence

Journal of Computational Physics

Generalized finite compact difference scheme for shock/complex flowfield interaction

Journal of Computational Physics

Combined higher order finite volume and finite element scheme for double porosity and non-linear adsorption of transport problem in porous media

Journal of Computational and Applied Mathematics

A high order moving boundary treatment for compressible inviscid flows

Journal of Computational Physics

Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems

Journal of Computational Physics

Implicit LES for supersonic microramp vortex generator: new discoveries and new mechanisms

Modelling and Simulation in Engineering - Special issue on Advances in Computational Fluid Dynamics and its Applications

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

Journal of Scientific Computing

Wavelet-based adaptive multi-resolution solver on heterogeneous parallel architecture for computational fluid dynamics

Computer Science - Research and Development

ADER Schemes for Nonlinear Systems of Stiff Advection---Diffusion---Reaction Equations

Journal of Scientific Computing

Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green---Naghdi Model

Journal of Scientific Computing

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

Journal of Scientific Computing

A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

Journal of Scientific Computing

Scale separation for implicit large eddy simulation

Journal of Computational Physics

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

Journal of Computational Physics

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system

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 finite difference methods with subcell resolution for advection equations with stiff source terms

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

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

Journal of Computational Physics

Analysis of WENO Schemes for Full and Global Accuracy

SIAM Journal on Numerical Analysis

Multicore/Multi-GPU Accelerated Simulations of Multiphase Compressible Flows Using Wavelet Adapted Grids

SIAM Journal on Scientific Computing

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

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

A level set method for vapor bubble dynamics

Journal of Computational Physics

On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations

Journal of Computational Physics

Adaptive ANOVA decomposition of stochastic incompressible and compressible flows

Journal of Computational Physics

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics

Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws

Journal of Computational Physics

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

Journal of Scientific Computing

Strong-Stability-Preserving 7-Stage Hermite---Birkhoff Time-Discretization Methods

Journal of Scientific Computing

Out-of-Core Computations of High-Resolution Level Sets by Means of Code Transformation

Journal of Scientific Computing

Binary weighted essentially non-oscillatory (BWENO) approximation

Journal of Computational and Applied Mathematics

New shock detector for shock-boundary layer interaction

HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications

Adaptation based on interpolation errors for high order mesh refinement methods applied to conservation laws

Applied Numerical Mathematics

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

Journal of Computational Physics

Numerical (error) issues on compressible multicomponent flows using a high-order differencing scheme: Weighted compact nonlinear scheme

Journal of Computational Physics

Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation

International Journal of Computer Vision

Representation of the Lagrange reconstructing polynomial by combination of substencils

Journal of Computational and Applied Mathematics

An Eulerian-Lagrangian WENO finite volume scheme for advection problems

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

A New Mapped Weighted Essentially Non-oscillatory Scheme

Journal of Scientific Computing

Non-separable two-dimensional weighted ENO interpolation

Applied Numerical Mathematics

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

Mathematical and Computer Modelling: An International Journal

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

Journal of Computational Physics

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

Journal of Computational Physics

An improved high-order scheme for DNS of low Mach number turbulent reacting flows based on stiff chemistry solver

Journal of Computational Physics

High Order Finite Difference and Finite Volume Methods for Advection on the Sphere

Journal of Scientific Computing

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations

Journal of Scientific Computing

Visualization of Advection-Diffusion in Unsteady Fluid Flow

Computer Graphics Forum

A multivariate quadrature based moment method for LES based modeling of supersonic combustion

Journal of Computational Physics

Upwind schemes for the wave equation in second-order form

Journal of Computational Physics

E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme

Journal of Computational Physics

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Journal of Computational Physics

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

SIAM Journal on Numerical Analysis

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations

SIAM Journal on Scientific Computing

A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids

SIAM Journal on Scientific Computing

A Numerical Scheme for Three-Dimensional Front Propagation and Control of Jordan Mode

SIAM Journal on Scientific Computing

Strong Stability Preserving Two-step Runge-Kutta Methods

SIAM Journal on Numerical Analysis

Numerical solution of multiscale problems in atmospheric modeling

Applied Numerical Mathematics

Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

Journal of Computational Physics

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

A simple second order cartesian scheme for compressible Euler flows

Journal of Computational Physics

New adaptive artificial viscosity method for hyperbolic systems of conservation laws

Journal of Computational Physics

WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows

Journal of Scientific Computing

High Order Weighted Essentially Non-oscillation Schemes for Two-Dimensional Detonation Wave Simulations

Journal of Scientific Computing

High throughput software for direct numerical simulations of compressible two-phase flows

SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis

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

WENO-enhanced gas-kinetic scheme for direct simulations of compressible transition and turbulence

Journal of Computational Physics

A new gas-kinetic scheme based on analytical solutions of the BGK equation

Journal of Computational Physics

Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation

Journal of Computational Physics

A space-time smooth artificial viscosity method for nonlinear 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

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Journal of Scientific Computing

A Robust Reconstruction for Unstructured WENO Schemes

Journal of Scientific Computing

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

Journal of Scientific Computing

Simulations of Supersonic Astrophysical Jets and Their Environments Using Level Set Methods

Journal of Scientific Computing

Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem

Journal of Computational Physics

Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma

Journal of Computational Physics

A low Mach number solver: Enhancing applicability

Journal of Computational Physics

A semi-Lagrangian AMR scheme for 2D transport problems in conservation form

Journal of Computational Physics

Further studies on Geometric Conservation Law and applications to high-order finite difference schemes with stationary grids

Journal of Computational Physics

A solution-adaptive method for efficient compressible multifluid simulations, with application to the Richtmyer-Meshkov instability

Journal of Computational Physics

3DFLUX: A high-order fully three-dimensional flux integral solver for the scalar transport equation

Journal of Computational Physics

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

Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities

Journal of Computational Physics

WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces

Journal of Scientific Computing

Towards front-tracking based on conservation in two space dimensions III, tracking interfaces

Journal of Computational Physics

Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties

Journal of Computational Physics

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

Journal of Computational Physics

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

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

11 PFLOP/s simulations of cloud cavitation collapse

SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis

Spectral properties of high-order residual-based compact schemes for unsteady compressible flows

Journal of Computational Physics

A diffuse interface model with immiscibility preservation

Journal of Computational Physics

A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows

Journal of Computational Physics

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

Journal of Computational Physics

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

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes

Journal of Computational Physics

A novel multiblock immersed boundary method for large eddy simulation of complex arterial hemodynamics

Journal of Computational Physics

Solving a model for 1-D, three-phase flow vertical equilibrium processes in a homogeneous porous medium by means of a Weighted Essentially Non Oscillatory numerical scheme

Computers & Mathematics with Applications

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

Positivity-preserving Lagrangian scheme for multi-material compressible flow

Journal of Computational Physics

A robust method for calculating interface curvature and normal vectors using an extracted local level set

Journal of Computational Physics

Numerical simulation of elastic-plastic solid mechanics using an Eulerian stretch tensor approach and HLLD Riemann solver

Journal of Computational Physics

A balanced-force algorithm for two-phase flows

Journal of Computational Physics

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

Journal of Computational Physics

Skew-symmetric convection form and secondary conservative finite difference methods for moving grids

Journal of Computational Physics

Array-representation integration factor method for high-dimensional systems

Journal of Computational Physics

High order accurate and low dissipation method for unsteady compressible viscous flow computation on helicopter rotor in forward flight

Journal of Computational Physics

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

Journal of Computational Physics

A level set two-way wave equation approach for Eulerian interface tracking

Journal of Computational Physics

Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations

Journal of Computational Physics

Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models

Applied Numerical Mathematics

Modelling and shape optimization of an actuator

Structural and Multidisciplinary Optimization

Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure

Journal of Computational Physics

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

Journal of Computational Physics

Strong-stability-preserving, Hermite-Birkhoff time-discretization based on k step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

A Stability Criterion for Semi-Discrete Difference Schemes of Hyperbolic Conservation Laws on Uniform Grids

Journal of Scientific Computing

A Numerical Method for Simulation of Microflows by Solving Directly Kinetic Equations with WENO Schemes

Journal of Scientific Computing

Benchmarks and numerical methods for the simulation of boiling flows

Journal of Computational Physics

Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes

Journal of Computational Physics