Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

A massively parallel adaptive finite element method with dynamic load balancing

Proceedings of the 1993 ACM/IEEE conference on Supercomputing

Efficient Parallelization of a Three-Dimensional Navier-Stokes Solver on MIMD Multiprocessors

The Journal of Supercomputing

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

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

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

Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method

Journal of Computational Physics

High-order monotonicity-preserving compact schemes for linear scalar advection on 2-D irregular meshes

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

Note: a slope-update scheme for compressible flow simulation

Journal of Computational Physics

A subgrid-scale deconvolution approach for shock capturing

Journal of Computational Physics

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems

Mathematics of Computation

High Resolution Relaxed Upwind Schemes in Gas Dynamics

Journal of Scientific Computing

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

Journal of Computational Physics

Contribution of Boussinesq pressure and bottom roughness terms for open channel flows with shocks

Applied Mathematics and Computation

A relaxation scheme for the hydrodynamic equations for semiconductors

Applied Numerical Mathematics

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations

Mathematics of Computation

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

Journal of Computational Physics

A level set approach to Eulerian-Lagrangian coupling

Journal of Computational Physics

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

Journal of Computational Physics

A local piecewise parabolic method for Hamilton--Jacobi equations

Applied Numerical Mathematics

Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws II

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

Numerical Simulation of Pulse Detonation Engine Phenomena

Journal of Scientific Computing

Understanding the Shu–Osher Conservative Finite Difference Form

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

A Discontinuous Spectral Element Method for the Level Set Equation

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

Parallel Large Scale High Accuracy Navier-Stokes Computations on Distributed Memory Clusters

The Journal of Supercomputing

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

A multidomain spectral method for supersonic reactive flows

Journal of Computational Physics

A particle-level set-based sharp interface cartesian grid method for impact, penetration, and void collapse

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

On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method

Journal of Computational Physics

An Antidiffusive Entropy Scheme for Monotone Scalar Conservation Laws

Journal of Scientific Computing

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

Journal of Computational Physics

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

Journal of Computational Physics

Embedded Parallelization Approach for Optimization in Aerodynamic Design

The Journal of Supercomputing

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

Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics

Journal of Computational Physics

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

Journal of Computational Physics

Relaxed High Resolution Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

WENO schemes for balance laws with spatially varying flux

Journal of Computational Physics

Moving mesh methods with locally varying time steps

Journal of Computational Physics

Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations

Journal of Computational Physics

Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing

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

Journal of Scientific Computing

Flooding and drying in discontinuous Galerkin finite-element discretizations of shallow-water equations: part 1: One dimension

Journal of Scientific Computing

Horizontal solidification of average and low Prandtl fluids in microgravity

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

High-resolution finite compact difference schemes for hyperbolic conservation laws

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)

Resolving small-scale structures in Boussinesq convection by adaptive grid methods

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

A level set approach to simulate magnetohydrodynamic-instabilities in aluminum reduction cells

Journal of Computational Physics

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

Journal of Computational Physics

An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries

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

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

Journal of Computational and Applied Mathematics

A sharp interface method for incompressible two-phase flows

Journal of Computational Physics

An artificial nonlinear diffusivity method for supersonic reacting flows with shocks

Journal of Computational Physics

A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Scientific Computing

Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid

Journal of Scientific Computing

Solutions of Multi-dimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Method

Journal of Scientific Computing

Convex ENO Schemes for 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

A Runge-Kutta discontinuous Galerkin method for viscous flow equations

Journal of Computational Physics

Tracking discontinuities in hyperbolic conservation laws with spectral accuracy

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

DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems

Mathematics and Computers in Simulation

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

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

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

Journal of Computational Physics

A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids

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

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

Applied Numerical Mathematics

An adaptive ghost fluid finite volume method for compressible gas-water simulations

Journal of Computational Physics

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

Journal of Computational Physics

A review on the piecewise polynomial harmonic interpolation

Applied Numerical Mathematics

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

On the numerical solution of a driven thin film equation

Journal of Computational Physics

High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method

Journal of Computational Physics

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

Journal of Computational Physics

Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics

Journal of Scientific Computing

Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes

Journal of Scientific Computing

Pseudo-wave decomposition high-order method for magnetogasdynamics

Journal of Computational Physics

Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes

Journal of Computational Physics

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

Journal of Scientific Computing

Study of Europa's crust via a Stefan model with convection

Mathematics and Computers in Simulation

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 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

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

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

A Note on the Spectral Collocation Approximation of Some Differential Equations with Singular Source Terms

Journal of Scientific Computing

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 characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations

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

Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes

Journal of Scientific Computing

A Moving Grid Framework for Geometric Deformable Models

International Journal of Computer Vision

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

Journal of Computational Physics

Hierarchical reconstruction for spectral volume method on unstructured grids

Journal of Computational Physics

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

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

An interface tracking method for hyperbolic systems of conservation laws

Applied Numerical Mathematics

Horizontal solidification of average and low Prandtl fluids in microgravity

Applied Numerical Mathematics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics

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

Journal of Computational Physics

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

Journal of Computational Physics

Diffusion front capturing schemes for a class of Fokker-Planck equations: Application to the relativistic heat equation

Journal of Computational Physics

Generalized conservative approximations of split convective derivative operators

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Scientific Computing

Entropy-TVD Scheme for Nonlinear Scalar Conservation Laws

Journal of Scientific Computing