A Local Extrapolation Method for Hyperbolic Conservation Laws. I. The ENO Underlying Schemes
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
Journal of Computational Physics
From continuous recovery to discrete filtering in numerical approximations of conservation laws
Applied Numerical Mathematics
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
Journal of Computational Physics
A flux-split algorithm applied to conservative models for multicomponent compressible flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
A Level Set Approach for the Numerical Simulation of Dendritic Growth
Journal of Scientific Computing
Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces
Journal of Scientific Computing
High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton--Jacobi equations
Journal of Computational Physics
High resolution conjugate filters for the simulation of flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
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
Journal of Computational Physics
Power ENO methods: a fifth-order accurate weighted power ENO method
Journal of Computational Physics
Journal of Computational Physics
WENO schemes for balance laws with spatially varying flux
Journal of Computational Physics
Local level set method in high dimension and codimension
Journal of Computational Physics
Implicit subgrid-scale modeling by adaptive deconvolution
Journal of Computational Physics
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
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
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
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
Hierarchical RLE level set: A compact and versatile deformable surface representation
ACM Transactions on Graphics (TOG)
Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets
Journal of Scientific Computing
Journal of Computational Physics
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
Journal of Computational Physics
Journal of Computational Physics
Numerical solution of the reaction-advection-diffusion equation on the sphere
Journal of Computational Physics
Stable coupling between vector and scalar variables for the IDO scheme on collocated grids
Journal of Computational Physics
Improving Godunov-type reconstructions for simulation of vortex-dominated flows
Journal of Computational Physics
Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004
Applied Numerical Mathematics - Numerical methods for viscosity solutions and applications
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
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
Journal of Computational Physics
WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations
Journal of Computational and Applied Mathematics
Journal of Computational Physics
High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
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
Journal of Scientific Computing
Journal of Computational Physics
Finite element/volume solution to axisymmetric conservation laws
Journal of Computational Physics
A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
Journal of Computational Physics
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Out-of-core and compressed level set methods
ACM Transactions on Graphics (TOG)
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A new family of high-order compact upwind difference schemes with good spectral resolution
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
DNS of thin shear instability by ninth-order multioperators-based schemes
International Journal of Computing Science and Mathematics
A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws
Applied Numerical Mathematics
Selective monotonicity preservation in scalar advection
Journal of Computational Physics
On the stability of a class of nonlinear interpolatory wavelet-packets schemes
ISPRA'06 Proceedings of the 5th WSEAS International Conference on Signal Processing, Robotics and Automation
Multi-dimensional limiting process for three-dimensional flow physics analyses
Journal of Computational Physics
Journal of Computational Physics
Development of nonlinear weighted compact schemes with increasingly higher order accuracy
Journal of Computational Physics
Short Note: A limiter for PPM that preserves accuracy at smooth extrema
Journal of Computational Physics
Journal of Computational Physics
On the numerical solution of a driven thin film equation
Journal of Computational Physics
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
Journal of Scientific Computing
Level Set Equations on Surfaces via the Closest Point Method
Journal of Scientific Computing
Journal of Computational Physics
Implicit preconditioned WENO scheme for steady viscous flow computation
Journal of Computational Physics
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
Multiscale cell-based coarsening for discontinuous problems
Mathematics and Computers in Simulation
A central conservative scheme for general rectangular grids
Journal of Computational Physics
Journal of Computational Physics
Third-order Energy Stable WENO scheme
Journal of Computational Physics
High order multi-moment constrained finite volume method. Part I: Basic formulation
Journal of Computational Physics
Journal of Computational Physics
Mathematics and Computers in Simulation
Compact third-order limiter functions for finite volume methods
Journal of Computational Physics
A systematic methodology for constructing high-order energy stable WENO schemes
Journal of Computational Physics
Journal of Scientific Computing
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
An exactly conservative particle method for one dimensional scalar conservation laws
Journal of Computational Physics
Hierarchical reconstruction for spectral volume method on unstructured grids
Journal of Computational Physics
Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamics
Journal of Computational Physics
Journal of Computational Physics
Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
Journal of Computational Physics
Journal of Computational Physics
On maximum-principle-satisfying high order schemes for scalar conservation laws
Journal of Computational Physics
A gradient-augmented level set method with an optimally local, coherent advection scheme
Journal of Computational Physics
Point-Value WENO Multiresolution Applications to Stable Image Compression
Journal of Scientific Computing
An accurate solver for forward and inverse transport
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
A PML-based nonreflective boundary for free surface fluid animation
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
A diffuse-interface method for two-phase flows with soluble surfactants
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
Journal of Computational Physics
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions
Journal of Computational Physics
Journal of Computational Physics
Approximation error of the Lagrange reconstructing polynomial
Journal of Approximation Theory
On the implementation of WENO schemes for a class of polydisperse sedimentation models
Journal of Computational Physics
A Memory and Computation Efficient Sparse Level-Set Method
Journal of Scientific Computing
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
A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations
Journal of Computational Physics
Finite volume schemes for dispersive wave propagation and runup
Journal of Computational Physics
SIAM Journal on Numerical Analysis
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
On the Linear Stability of the Fifth-Order WENO Discretization
Journal of Scientific Computing
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Journal of Scientific Computing
Journal of Computational Physics
Short Note: On the treatment of contact discontinuities using WENO schemes
Journal of Computational Physics
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws
Journal of Computational Physics
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
SIAM Journal on Scientific Computing
High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations
SIAM Journal on Scientific Computing
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations
Journal of Computational Physics
Multi-dimensional limiting for high-order schemes including turbulence and combustion
Journal of Computational Physics
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
Journal of Computational Physics
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
Applied Numerical Mathematics
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
A New Mapped Weighted Essentially Non-oscillatory Scheme
Journal of Scientific Computing
Non-separable two-dimensional weighted ENO interpolation
Applied Numerical Mathematics
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
Journal of Computational Physics
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum
Journal of Computational Physics
SIAM Journal on Scientific Computing
A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids
SIAM Journal on Scientific Computing
Alternating Evolution Schemes for Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing
Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes
Journal of Computational Physics
Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics
Journal of Computational Physics
New adaptive artificial viscosity method for hyperbolic systems of conservation laws
Journal of Computational Physics
Flexible and topologically localized segmentation
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
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
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
Simplex stochastic collocation with ENO-type stencil selection for robust uncertainty quantification
Journal of Computational Physics
Journal of Computational Physics
Minimum energy desynchronizing control for coupled neurons
Journal of Computational Neuroscience
Low-diffusivity scalar transport using a WENO scheme and dual meshing
Journal of Computational Physics
A uniformly second order fast sweeping method for eikonal equations
Journal of Computational Physics
Journal of Scientific Computing
An efficient computational model for macroscale simulations of moving contact lines
Journal of Computational Physics
VDB: High-resolution sparse volumes with dynamic topology
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
Journal of Computational Physics
Spatio-temporal extrapolation for fluid animation
ACM Transactions on Graphics (TOG)
A diffuse interface model with immiscibility preservation
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 fictitious domain approach for the simulation of dense suspensions
Journal of Computational Physics
Journal of Scientific Computing
A balanced-force algorithm for two-phase flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
Array-representation integration factor method for high-dimensional systems
Journal of Computational Physics
A level set two-way wave equation approach for Eulerian interface tracking
Journal of Computational Physics
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws
Journal of Computational Physics
Journal of Scientific Computing
An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems
Journal of Computational Physics
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