Chi-Wang Shu
Orcid: 0000-0001-7720-9564Affiliations:
- Brown University, Division of Applied Mathematics, USA
According to our database1,
Chi-Wang Shu
authored at least 257 papers
between 1993 and 2024.
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Bibliography
2024
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics.
J. Comput. Phys., January, 2024
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products.
CoRR, 2024
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws.
CoRR, 2024
A high order, block finite difference, error inhibiting scheme for the transport equation.
CoRR, 2024
A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws.
CoRR, 2024
2023
J. Comput. Phys., December, 2023
Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system.
Comput. Aided Civ. Infrastructure Eng., December, 2023
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes.
SIAM Rev., November, 2023
SIAM J. Sci. Comput., August, 2023
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation.
Math. Comput., June, 2023
J. Sci. Comput., June, 2023
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations.
SIAM J. Numer. Anal., February, 2023
J. Comput. Phys., February, 2023
On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations.
J. Comput. Phys., 2023
A primal-dual approach for solving conservation laws with implicit in time approximations.
J. Comput. Phys., 2023
J. Comput. Phys., 2023
A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver.
J. Comput. Phys., 2023
J. Comput. Appl. Math., 2023
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products.
CoRR, 2023
2022
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities.
Comput. Appl. Math., September, 2022
Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach.
Transp. Sci., 2022
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems.
SIAM J. Sci. Comput., 2022
L$^2$ Error Estimate to Smooth Solutions of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points.
SIAM J. Numer. Anal., 2022
Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs.
J. Sci. Comput., 2022
Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws.
J. Comput. Phys., 2022
High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations.
J. Comput. Phys., 2022
Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations.
J. Comput. Phys., 2022
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise.
J. Comput. Phys., 2022
High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model.
J. Comput. Phys., 2022
An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes.
J. Comput. Phys., 2022
Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations.
J. Comput. Appl. Math., 2022
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes.
CoRR, 2022
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise.
CoRR, 2022
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations.
CoRR, 2022
CoRR, 2022
Development and analysis of two new finite element schemes for a time-domain carpet cloak model.
Adv. Comput. Math., 2022
2021
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws.
SIAM J. Numer. Anal., 2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations.
Numerische Mathematik, 2021
A high order conservative finite difference scheme for compressible two-medium flows.
J. Comput. Phys., 2021
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary.
J. Comput. Phys., 2021
J. Comput. Phys., 2021
J. Comput. Phys., 2021
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations.
J. Comput. Appl. Math., 2021
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations.
CoRR, 2021
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing.
Appl. Math. Comput., 2021
2020
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations.
SIAM J. Sci. Comput., 2020
SIAM J. Sci. Comput., 2020
Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2020
SIAM J. Numer. Anal., 2020
SIAM J. Appl. Math., 2020
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives.
Math. Comput., 2020
Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy.
Multiscale Model. Simul., 2020
Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation.
J. Sci. Comput., 2020
An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Generalized Stochastic KdV Equations.
J. Sci. Comput., 2020
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes.
J. Comput. Phys., 2020
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters.
J. Comput. Phys., 2020
On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments.
J. Comput. Phys., 2020
High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit.
J. Comput. Phys., 2020
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations.
CoRR, 2020
Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations.
CoRR, 2020
Appl. Math. Lett., 2020
Acta Numer., 2020
A class of bound-preserving high order schemes: The main ideas and recent developments.
Proceedings of the 75 Years of Mathematics of Computation, 2020
2019
The L<sup>2</sup>-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2019
SIAM J. Numer. Anal., 2019
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities.
SIAM J. Numer. Anal., 2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes.
Numerische Mathematik, 2019
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow.
Math. Comput., 2019
Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems.
J. Sci. Comput., 2019
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise.
J. Sci. Comput., 2019
A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows.
J. Sci. Comput., 2019
Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows.
J. Sci. Comput., 2019
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes.
J. Comput. Phys., 2019
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements.
J. Comput. Phys., 2019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems.
J. Comput. Phys., 2019
Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes.
J. Comput. Phys., 2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation.
J. Comput. Appl. Math., 2019
CoRR, 2019
2018
A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics.
SIAM J. Sci. Comput., 2018
Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws.
SIAM J. Sci. Comput., 2018
Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2018
Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations.
SIAM J. Numer. Anal., 2018
Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations.
J. Sci. Comput., 2018
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings.
J. Sci. Comput., 2018
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy.
J. Comput. Phys., 2018
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials.
J. Comput. Phys., 2018
Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes.
J. Comput. Phys., 2018
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms.
J. Comput. Phys., 2018
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions.
J. Comput. Appl. Math., 2018
Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes.
J. Comput. Appl. Math., 2018
2017
SIAM J. Sci. Comput., 2017
Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation.
J. Sci. Comput., 2017
A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations.
J. Sci. Comput., 2017
Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations.
J. Sci. Comput., 2017
J. Sci. Comput., 2017
Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes.
J. Comput. Phys., 2017
J. Comput. Phys., 2017
Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids.
J. Comput. Phys., 2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws.
J. Comput. Phys., 2017
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws.
J. Comput. Phys., 2017
Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials.
Comput. Math. Appl., 2017
2016
High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations.
SIAM J. Sci. Comput., 2016
A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds.
SIAM J. Sci. Comput., 2016
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations.
Math. Comput., 2016
Math. Comput., 2016
A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation.
J. Sci. Comput., 2016
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case.
J. Comput. Phys., 2016
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case.
J. Comput. Phys., 2016
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments.
J. Comput. Phys., 2016
J. Comput. Phys., 2016
Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations.
J. Comput. Phys., 2016
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes.
J. Comput. Appl. Math., 2016
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems.
Appl. Math. Comput., 2016
2015
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems.
SIAM J. Numer. Anal., 2015
Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations.
SIAM J. Numer. Anal., 2015
Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities.
J. Sci. Comput., 2015
Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation.
J. Comput. Phys., 2015
A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes.
J. Comput. Phys., 2015
Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures.
CoRR, 2015
2014
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data.
Numerische Mathematik, 2014
Numerische Mathematik, 2014
Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients.
J. Sci. Comput., 2014
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media.
J. Comput. Phys., 2014
Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates.
J. Comput. Phys., 2014
J. Comput. Phys., 2014
Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities.
J. Comput. Appl. Math., 2014
2013
An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws.
SIAM J. Sci. Comput., 2013
Discontinuous Galerkin method for hyperbolic equations involving δ-singularities: negative-order norm error estimates and applications.
Numerische Mathematik, 2013
High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields.
J. Sci. Comput., 2013
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes.
J. Comput. Phys., 2013
A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods.
J. Comput. Phys., 2013
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes.
J. Comput. Phys., 2013
Corrigendum to "Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities" [J. Comput. Physics 241 (2013) 266-291].
J. Comput. Phys., 2013
Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities.
J. Comput. Phys., 2013
Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations.
J. Comput. Phys., 2013
A new class of central compact schemes with spectral-like resolution I: Linear schemes.
J. Comput. Phys., 2013
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws.
J. Comput. Phys., 2013
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations.
J. Comput. Phys., 2013
2012
Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations.
SIAM J. Sci. Comput., 2012
Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations.
SIAM J. Numer. Anal., 2012
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations.
SIAM J. Numer. Anal., 2012
Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension.
SIAM J. Numer. Anal., 2012
Numerische Mathematik, 2012
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes.
J. Sci. Comput., 2012
WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows.
J. Sci. Comput., 2012
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations.
J. Comput. Phys., 2012
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations.
J. Comput. Phys., 2012
High order finite difference methods with subcell resolution for advection equations with stiff source terms.
J. Comput. Phys., 2012
Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws.
J. Comput. Phys., 2012
2011
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations.
SIAM J. Sci. Comput., 2011
High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations.
SIAM J. Sci. Comput., 2011
Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes.
J. Sci. Comput., 2011
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations.
J. Sci. Comput., 2011
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms.
J. Comput. Phys., 2011
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws.
J. Comput. Phys., 2011
Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows.
J. Comput. Phys., 2011
J. Comput. Phys., 2011
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system.
J. Comput. Phys., 2011
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow.
J. Comput. Phys., 2011
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model.
J. Comput. Appl. Math., 2011
High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows.
Comput. Aided Civ. Infrastructure Eng., 2011
2010
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws.
SIAM J. Numer. Anal., 2010
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws.
SIAM J. Numer. Anal., 2010
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension.
SIAM J. Numer. Anal., 2010
A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study.
Proceedings of the International Conference on Computational Science, 2010
Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment.
J. Sci. Comput., 2010
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes.
J. Comput. Phys., 2010
J. Comput. Phys., 2010
J. Comput. Phys., 2010
An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method.
J. Comput. Phys., 2010
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws.
J. Comput. Phys., 2010
A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry.
J. Comput. Phys., 2010
2009
The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship.
Transp. Sci., 2009
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems.
SIAM Rev., 2009
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems.
SIAM J. Numer. Anal., 2009
Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs.
J. Sci. Comput., 2009
The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode.
J. Sci. Comput., 2009
J. Comput. Phys., 2009
Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells.
J. Comput. Phys., 2009
J. Comput. Phys., 2009
High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations.
J. Comput. Phys., 2009
2008
Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits.
SIAM J. Sci. Comput., 2008
Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws.
SIAM J. Sci. Comput., 2008
SIAM J. Numer. Anal., 2008
Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps.
SIAM J. Numer. Anal., 2008
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives.
Math. Comput., 2008
The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids.
Multiscale Model. Simul., 2008
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes.
J. Comput. Phys., 2008
Development of nonlinear weighted compact schemes with increasingly higher order accuracy.
J. Comput. Phys., 2008
J. Comput. Phys., 2008
Superconvergence and time evolution of discontinuous Galerkin finite element solutions.
J. Comput. Phys., 2008
2007
SIAM J. Sci. Comput., 2007
SIAM J. Numer. Anal., 2007
Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction.
SIAM J. Numer. Anal., 2007
A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions.
J. Sci. Comput., 2007
J. Sci. Comput., 2007
J. Comput. Phys., 2007
High-order well-balanced finite volume WENO schemes for shallow water equation with moving water.
J. Comput. Phys., 2007
High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes.
J. Comput. Phys., 2007
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations.
J. Comput. Phys., 2007
A high order ENO conservative Lagrangian type scheme for the compressible Euler equations.
J. Comput. Phys., 2007
A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations.
J. Comput. Phys., 2007
2006
SIAM J. Sci. Comput., 2006
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws.
SIAM J. Numer. Anal., 2006
High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms.
J. Sci. Comput., 2006
Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems.
J. Sci. Comput., 2006
A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway.
J. Comput. Phys., 2006
J. Comput. Phys., 2006
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms.
J. Comput. Phys., 2006
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes.
J. Comput. Phys., 2006
High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes.
J. Comput. Phys., 2006
2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods.
J. Comput. Phys., 2006
2005
Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem.
SIAM J. Sci. Comput., 2005
SIAM J. Sci. Comput., 2005
A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters.
SIAM J. Sci. Comput., 2005
SIAM J. Sci. Comput., 2005
The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems.
Multiscale Model. Simul., 2005
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow.
J. Sci. Comput., 2005
J. Sci. Comput., 2005
J. Sci. Comput., 2005
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations.
Appl. Math. Lett., 2005
2004
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws.
SIAM J. Numer. Anal., 2004
2003
SIAM J. Sci. Comput., 2003
SIAM J. Sci. Comput., 2003
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.
Math. Comput., 2003
Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces.
J. Sci. Comput., 2003
J. Sci. Comput., 2003
2002
SIAM J. Numer. Anal., 2002
Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives.
J. Sci. Comput., 2002
2001
Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode.
VLSI Design, 2001
Numerical Comparison of WENO Finite Volume and Runge-Kutta Discontinuous Galerkin Methods.
J. Sci. Comput., 2001
J. Sci. Comput., 2001
1999
SIAM J. Sci. Comput., 1999
1998
Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries.
VLSI Design, 1998
VLSI Design, 1998
Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition.
VLSI Design, 1998
1997
Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution.
CVGIP Graph. Model. Image Process., 1997
1995
The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions.
VLSI Design, 1995
Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation.
VLSI Design, 1995
Transport effects and characteristic modes in the modeling and simulation of submicron devices.
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1995
1993
Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993