Chi-Wang Shu
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American applied mathematician
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Engineering Mathematics
Chi-Wang Shu's Degrees
- PhD Mathematics University of California, Los Angeles
- Bachelors Mathematics University of Science and Technology of China
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Why Is Chi-Wang Shu Influential?
(Suggest an Edit or Addition)According to Wikipedia, Chi-Wang Shu is the Theodore B. Stowell University Professor of Applied Mathematics at Brown University. He is known for his research in the fields of computational fluid dynamics, numerical solutions of conservation laws and Hamilton–Jacobi type equations. Shu has been listed as an ISI Highly Cited Author in Mathematics by the ISI Web of Knowledge.
Chi-Wang Shu's Published Works
Published Works
- Efficient Implementation of Weighted ENO Schemes (1996) (5567)
- Efficient implementation of essentially non-oscillatory shock-capturing schemes,II (1989) (5190)
- TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework (1989) (2255)
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems (1998) (2185)
- Total variation diminishing Runge-Kutta schemes (1998) (2057)
- Strong Stability-Preserving High-Order Time Discretization Methods (2001) (2053)
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws (1998) (1991)
- The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multi-D systems (1998) (1842)
- Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems (2001) (1755)
- The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case (1990) (1614)
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems (1989) (1487)
- Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy (2000) (1160)
- Total-variation-diminishing time discretizations (1988) (1040)
- The Development of Discontinuous Galerkin Methods (2000) (926)
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (2009) (785)
- Weighted Essentially Non-oscillatory Schemes on Triangular Meshes (1999) (766)
- On the Gibbs Phenomenon and Its Resolution (1997) (729)
- High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations (1990) (610)
- Discontinuous Galerkin Methods: Theory, Computation and Applications (2011) (593)
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws (1991) (530)
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes (2010) (494)
- On maximum-principle-satisfying high order schemes for scalar conservation laws (2010) (477)
- The Runge-Kutta local projection discontinous Galerkin finite element method for conservation laws (1990) (408)
- TVB uniformly high-order schemes for conservation laws (1987) (393)
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case (2004) (389)
- Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters (2005) (389)
- A technique of treating negative weights in WENO schemes (2000) (364)
- Strong stability preserving runge-kutta and multistep time discretizations (2011) (358)
- High Order Strong Stability Preserving Time Discretizations (2009) (331)
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations (2005) (324)
- A Local Discontinuous Galerkin Method for KdV Type Equations (2002) (322)
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments (2011) (306)
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations (2004) (303)
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms (2006) (300)
- Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations (2010) (299)
- The Runge-Kutta local projection P1-discontinuous-Galerkin finite element method for scalar conservation laws (1988) (280)
- Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm (2009) (275)
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case (2005) (262)
- On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes (2002) (253)
- On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function (1992) (252)
- High Order ENO and WENO Schemes for Computational Fluid Dynamics (1999) (247)
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water (2007) (246)
- Resolution of high order WENO schemes for complicated flow structures (2003) (246)
- Local discontinuous Galerkin methods for nonlinear Schrödinger equations (2005) (243)
- A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations (1999) (222)
- On a cell entropy inequality for discontinuous Galerkin methods (1994) (214)
- Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes (2012) (210)
- Numerical experiments on the accuracy of ENO and modified ENO schemes (1990) (203)
- On positivity preserving finite volume schemes for Euler equations (1996) (203)
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes (2008) (201)
- Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws (2004) (201)
- High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes (2003) (198)
- Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives (2002) (190)
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws (2017) (180)
- A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters (2005) (180)
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations (2003) (178)
- Positivity-preserving high order finite difference WENO schemes for compressible Euler equations (2012) (178)
- Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms (2011) (177)
- A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods (2013) (174)
- An efficient class of WENO schemes with adaptive order (2016) (173)
- Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations (2009) (167)
- Small‐scale structures in Boussinesq convection (1998) (163)
- Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension (2010) (156)
- A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives (2007) (154)
- A Local Discontinuous Galerkin Method for the Camassa-Holm Equation (2008) (153)
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes (2013) (152)
- Development of nonlinear weighted compact schemes with increasingly higher order accuracy (2008) (147)
- Anti-diffusive flux corrections for high order finite difference WENO schemes (2005) (147)
- Local discontinuous Galerkin methods for the Cahn-Hilliard type equations (2007) (145)
- Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations (2005) (143)
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments (2016) (140)
- Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system (2011) (138)
- Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes (2008) (137)
- Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations (2006) (137)
- Positivity-preserving method for high-order conservative schemes solving compressible Euler equations (2013) (136)
- Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws (2010) (134)
- A high order ENO conservative Lagrangian type scheme for the compressible Euler equations (2007) (134)
- The discontinuous Galerkin method with Lax-Wendroff type time discretizations (2005) (132)
- A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows (2000) (131)
- Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow (2005) (130)
- Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction (2007) (129)
- Local discontinuous Galerkin methods for nonlinear dispersive equations (2004) (129)
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes (2006) (128)
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations (2012) (128)
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws (2010) (127)
- Discontinuous Galerkin Methods: General Approach and Stability (2008) (125)
- A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods (2003) (124)
- Nonlinearly stable compact schemes for shock calculations (1994) (123)
- Numerical Solutions of Partial Differential Equations (2008) (123)
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations (2007) (120)
- Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations (2012) (119)
- Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations (2002) (119)
- AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS (2003) (118)
- High-order ENO schemes applied to two- and three-dimensional compressible flow (1992) (116)
- On the Gibbs phenomenon IV: recovering exponential accuracy in a subinterval from a Gegenbauer partial sum of a piecewise analytic function (1995) (113)
- Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow (2011) (111)
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems (2015) (110)
- Application of multi-block approach in the immersed boundary-lattice Boltzmann method for viscous fluid flows (2006) (110)
- A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions (2007) (108)
- On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes (2011) (106)
- A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations (2007) (105)
- Computational Study of Shock Mitigation and Drag Reduction by Pulsed Energy Lines (2006) (100)
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods (2005) (100)
- Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws (2012) (100)
- Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations (2012) (99)
- Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes (2013) (97)
- Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations (2005) (93)
- Dynamic continuum pedestrian flow model with memory effect. (2009) (92)
- Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations (2015) (92)
- Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems (2009) (91)
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws (2013) (90)
- A Survey of High Order Schemes for the Shallow Water Equations (2014) (89)
- A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model (2003) (88)
- High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields (2013) (88)
- Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution (1997) (88)
- Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem (2005) (88)
- Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces (2003) (85)
- On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations (2011) (85)
- A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow. Final Report (1992) (84)
- Essentially nonoscillatory spectral Fourier methods for shock wave calculations (1989) (84)
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy (2018) (83)
- A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway (2006) (83)
- A New Approach of High OrderWell-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms† (2005) (83)
- Superconvergence and time evolution of discontinuous Galerkin finite element solutions (2008) (83)
- Shock Capturing, Level Sets and PDE Based Methods in Computer Vision and Image Processing: A Review (2003) (82)
- Efficient time discretization for local discontinuous Galerkin methods (2007) (81)
- High order time discretization methods with the strong stability property (2001) (80)
- High-order finite volume WENO schemes for the shallow water equations with dry states (2011) (80)
- On the Gibbs phenomenon III: recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function (1996) (79)
- Multistage interaction of a shock wave and a strong vortex (2005) (79)
- Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells (2009) (78)
- High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms (2006) (78)
- High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations (2011) (78)
- Energy Models for One-Carrier Transport in Semiconductor Devices (1994) (77)
- Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli (2002) (77)
- L2 Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods (2008) (76)
- Hermite WENO schemes for Hamilton-Jacobi equations (2005) (75)
- Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers. (2003) (75)
- Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension (2012) (74)
- High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations (2009) (74)
- Solution of partial differential equations by a global radial basis function-based differential quadrature method (2004) (74)
- Positivity-preserving Lagrangian scheme for multi-material compressible flow (2014) (72)
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments (2014) (71)
- Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media (2014) (71)
- Discontinuous Galerkin method based on non-polynomial approximation spaces (2006) (71)
- A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano devices (2009) (71)
- Discontinuous Galerkin Methods (2010) (71)
- Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems (2016) (68)
- Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws (2006) (67)
- High order finite difference methods with subcell resolution for advection equations with stiff source terms (2012) (67)
- A second order discontinuous Galerkin fast sweeping method for Eikonal equations (2008) (67)
- Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation (1995) (66)
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD (2003) (65)
- A local radial basis functions—Finite differences technique for the analysis of composite plates (2011) (64)
- Analysis of the discontinuous Galerkin method for Hamilton—Jacobi equations (2000) (63)
- An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model (2008) (63)
- Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods (2001) (62)
- HIGH ORDER NUMERICAL METHODS FOR TIME DEPENDENT HAMILTON-JACOBI EQUATIONS (2007) (61)
- High Resolution WENO Simulation of 3D Detonation Waves (2013) (61)
- Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation (2011) (60)
- A comparison of two formulations for high-order accurate essentially non-oscillatory schemes (1994) (59)
- Error estimates of local multiquadric‐based differential quadrature (LMQDQ) method through numerical experiments (2005) (59)
- Resolution properties of the Fourier method for discontinuous waves (1994) (59)
- Energy conserving local discontinuous Galerkin methods for wave propagation problems (2013) (58)
- On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods (2003) (58)
- Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations (2005) (58)
- 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods (2006) (58)
- Handbook of numerical methods for hyperbolic problems: applied and modern issues (2017) (57)
- A Hybrid Cosmological Hydrodynamic/N-Body Code Based on a Weighted Essentially Nonoscillatory Scheme (2002) (56)
- Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system (2011) (55)
- Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics (2016) (55)
- A new class of central compact schemes with spectral-like resolution I: Linear schemes (2013) (55)
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes (2020) (53)
- High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes (2006) (53)
- On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic function (1995) (53)
- A high order moving boundary treatment for compressible inviscid flows (2011) (53)
- A REACTIVE DYNAMIC CONTINUUM USER EQUILIBRIUM MODEL FOR BI-DIRECTIONAL PEDESTRIAN FLOWS ∗ (2009) (53)
- Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model (2017) (52)
- Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations (2015) (51)
- A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes (2015) (51)
- Discontinuous Galerkin method for hyperbolic equations involving $$\delta $$-singularities: negative-order norm error estimates and applications (2013) (51)
- Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment (2010) (51)
- Approximation of Hyperbolic Models for Chemosensitive Movement (2005) (50)
- Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling (2005) (50)
- High order well-balanced schemes (2010) (49)
- Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems (2016) (49)
- Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System (2007) (48)
- Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations (2013) (48)
- A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws (2010) (47)
- Numerical study on Landau damping (2001) (47)
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter (2016) (47)
- A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry (2010) (47)
- DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM (2012) (47)
- A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials (2017) (46)
- Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes (2007) (46)
- A Survey of Strong Stability Preserving High Order Time Discretizations (2001) (46)
- H(div) conforming and DG methods for incompressible Euler’s equations (2016) (46)
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes (2019) (45)
- Different Formulations Of The Discontinuous Galerkin Method For The Viscous Terms (2000) (45)
- A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting (1992) (44)
- High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes (2007) (44)
- Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes (2018) (44)
- Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations (2011) (43)
- Real Gas Computation Using an Energy Relaxation Method and High-Order WENO Schemes (1999) (43)
- A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws (2013) (42)
- Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation (2015) (42)
- A minimum entropy principle of high order schemes for gas dynamics equations (2011) (41)
- A macroscopic approach to the lane formation phenomenon in pedestrian counterflow (2011) (41)
- Numerical resolution of discontinuous Galerkin methods for time dependent wave equations (2011) (41)
- A note on the accuracy of spectral method applied to nonlinear conservation laws (1995) (41)
- Device benchmark comparisons via kinetic, hydrodynamic, and high-hield models (2000) (40)
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials (2017) (40)
- Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities (2013) (39)
- A Direct Solver for 2D Non-Stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET Simulation by WENO-Boltzmann Schemes (2003) (39)
- Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes (2006) (39)
- LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS (2001) (38)
- Free-stream preserving finite difference schemes on curvilinear meshes (2014) (38)
- Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case (2015) (38)
- Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations (2016) (38)
- Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes (2011) (37)
- Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws (2011) (37)
- A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations (2008) (37)
- Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data (2014) (37)
- A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws (2017) (36)
- Local discontinuous Galerkin methods for the generalized Zakharov system (2010) (36)
- Positivity-Preserving Time Discretizations for Production–Destruction Equations with Applications to Non-equilibrium Flows (2018) (35)
- Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation (2017) (35)
- The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems (2005) (35)
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes (2017) (34)
- Central local discontinuous galerkin methods on overlapping cells for diffusion equations (2011) (34)
- An Eulerian Approach for Vortex Motion Using a Level Set Regularization Procedure (1996) (34)
- A high order accurate conservative remapping method on staggered meshes (2008) (34)
- Geometric shock-capturing ENO schemes for subpixel interpolation, computation, and curve evolution (1995) (34)
- Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes (2018) (33)
- TVB boundary treatment for numerical solutions of conservation laws (1987) (33)
- Stability of the fourth order Runge–Kutta method for time-dependent partial differential equations (2017) (33)
- Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows (2009) (33)
- Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension (2012) (33)
- Post-Processing of Galerkin Methods for Hyperbolic Problems (2000) (33)
- Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations (2009) (33)
- An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method (2010) (33)
- On the positivity of linear weights in WENO approximations (2009) (33)
- Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids (2017) (32)
- Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes (2015) (32)
- The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship (2009) (32)
- Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations (2012) (32)
- Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices (2016) (32)
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation (2011) (32)
- On one-sided filters for spectral Fourier approximations of discontinuous functions (1992) (32)
- STRONG STABILITY PRESERVING PROPERTY OF THE DEFERRED CORRECTION TIME DISCRETIZATION (2008) (32)
- A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework (2015) (31)
- Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps (2008) (31)
- Revisiting Jiang’s dynamic continuum model for urban cities (2013) (31)
- Explicit construction of entropy solutions for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic flow-density relationship (2008) (31)
- Strong Stability of Explicit Runge-Kutta Time Discretizations (2018) (30)
- High-order well-balanced schemes and applications to non-equilibrium flow (2009) (30)
- A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics (2018) (29)
- A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes (2020) (29)
- Uniform high-order spectral methods for one- and two-dimensional Euler equations (1991) (29)
- The P(1-) RKDG Method for Two-Dimensional Euler Equations of Gas Dynamics (1991) (29)
- Development of Residual Distribution Schemes for theDiscontinuous GalerkinMethod: The ScalarCase with Linear Elements (2009) (29)
- The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode (2009) (29)
- THE MULTISCALE DISCONTINUOUS GALERKIN METHOD FOR SOLVING A CLASS OF SECOND ORDER ELLIPTIC PROBLEMS WITH ROUGH COEFFICIENTS (2010) (28)
- A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations (2011) (28)
- Hierarchical reconstruction for spectral volume method on unstructured grids (2009) (28)
- Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods (2016) (28)
- Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems (2006) (27)
- Preface to the Republication of “Uniformly High Order Essentially Non-oscillatory Schemes, III,” by Harten, Engquist, Osher, and Chakravarthy (1997) (26)
- A WENO-Solver for the 1D Non-Stationary Boltzmann–Poisson System for Semiconductor Devices (2002) (26)
- Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms (2018) (26)
- ENO and WENO Schemes (2016) (26)
- A Third-Order Unconditionally Positivity-Preserving Scheme for Production–Destruction Equations with Applications to Non-equilibrium Flows (2018) (25)
- High Resolution Schemes for a Hierarchical Size-Structured Model (2007) (25)
- Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes (2016) (25)
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- High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations (2022) (1)
- The Utility of Modeling and Simulation in Determining Transport Performance Properties of Semiconductors (2000) (1)
- A Numerical Study on the Accuracy of Fourier Spectral Methods Applied to the Nonlinear Burgers Equation (2011) (1)
- Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations (2022) (1)
- A Hybrid Multilayer Perceptron-Radial Basis Function (HMLP-RBF) Neural Network for Solving Hyperbolic Conservation Laws (2022) (1)
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- Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs (2022) (1)
- A High Order WENO Scheme for a Hierarchical Size-Structured Model (2007) (1)
- High order conservative Lagrangian schemes for one-dimensional radiative hydrodynamics equations in the equilibrium limit (2019) (1)
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- An overset boundary condition-enforced immersed boundary method for incompressible flows with large moving boundary domains (2022) (1)
- Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method (2015) (1)
- High Order and High Resolution Numerical Schemes for Computational Aeroacoustics and Their Applications (2016) (1)
- Foreword by the Editor-in-Chief (2019) (1)
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- High-order WENO and discontinuous Galerkin methods for time dependent simulations (2000) (1)
- 9:45 – 10:05 Theoretical and Numerical Approximations of the Singularly Perturbed Convection-Diffusion Equations (2016) (0)
- Preface to the Focused Issue in Honor of Professor Tong Zhang on the Occasion of His 90th Birthday (2022) (0)
- Winter School Course at City University of Hong Kong 2008: Finite Element Discontinuous Galerkin Method and Applications (2008) (0)
- On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities (2022) (0)
- Angular distribution of Ly α resonant photons emergent from optically thick medium (2012) (0)
- Book Review: Time-dependent partial differential equations and their numerical solution (2002) (0)
- - Discontinuous Galerkin methods for equations with divergence-free solutions: preliminary results (2003) (0)
- Enhancing Reproducibility of Research Papers in SISC, JSC and JCP (2023) (0)
- A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows (2023) (0)
- REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (1990) (0)
- Discontinuous Galerkin Methods for Partial Differential Equations (2008) (0)
- Preface (2012) (0)
- High Order Accurate Algorithms for Shocks, Rapidly Changing Solutions and Multiscale Problems (2013) (0)
- 基于相场-格子Boltzmann通量求解器的固-液相变模拟 (2022) (0)
- Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system (2023) (0)
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- Preface to the Focused Issue on WENO Schemes (2022) (0)
- 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 (2022) (0)
- Relaxation and Preconditioning for High Order Discontinuous (2004) (0)
- A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver (2022) (0)
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- Mathematics plays a key role in scientific computing (2017) (0)
- High order schemes: convergence for hyperbolic conservation laws and applications in computational cosmology (2007) (0)
- Book Review: Finite element methods: Fifty years of the Courant element (1996) (0)
- Preface (2019) (0)
- Abstract of papers to appear in future issuesUniform high order spectral methods for one- and two-dimensional Euler equations (1992) (0)
- AN ENTROPY STABLE OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC CONSERVATION LAWS (2022) (0)
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- Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar conservation laws with stiff source terms (2017) (0)
- Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems (2017) (0)
- Title High-order computational scheme for a dynamic continuummodel for bi-directional pedestrian flows (2010) (0)
- High Performance Schemes and Algorithms for Complex Scientific Applications (2006) (0)
- Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws (2022) (0)
- A ballistic-hydrodynamic model for transport in nano-devices (2000) (0)
- High-order implicit RBF-based differential quadrature-finite volume method on unstructured grids: Application to inviscid and viscous compressible flows (2023) (0)
- Angular Distribution of Ly(alpha) Resonant Photons Emergent from Optically Thick Medium (2012) (0)
- Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for Convection-Diffusion and Convection-Dispersion Equations (2023) (0)
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- Preface to Focused Issue on Discontinuous Galerkin Methods (2021) (0)
- Equipment for Visualization of Large-Scale Fluid Dynamics Calculations. (1996) (0)
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- Local discontinuous Galerkin methods for the carpet cloak model (2022) (0)
- A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings (2018) (0)
- Spatial Evolution of Large Scale Structures in Supersonic Shear Layers (2016) (0)
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- A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids (2020) (0)
- in Si Nanotransistors (2001) (0)
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- ANU volume 29 Cover and Front matter (2020) (0)
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- Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data (2013) (0)
- cm Signals from Early Ionizing Sources (2008) (0)
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- 2 00 7 21 cm Signals from Early Ionizing Sources (2007) (0)
- Multi-Dimensional High Order Essentially Non-Oscillatory Finite Difference Methods in Generalized Coordinates (1992) (0)
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- Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for (0)
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- Sound Generation in the Interaction of Two Isentropic Vortices (2012) (0)
- Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws (2022) (0)
- Defense Technical Information Center Compilation Part Notice ADP 013629 (0)
- High Order Numerical Methods for Discontinuous or High Gradient Problems. (1998) (0)
- The Utility of Modeling and Simulation inDetermining Transport PerformanceProperties of (2007) (0)
- Minimum upper bound on the number of tests for detecting faults in an unaugmented programmable logic array (1991) (0)
- Book Review: Lectures on finite precision computations (1997) (0)
- Book Review: Handbook of numerical analysis, Vol. VI, Numerical methods for solids (Part 3), Numerical methods for fluids (Part 1) (2000) (0)
- Preface (2019) (0)
- RKDG methods with multi-resolution WENO limiters for solving steady-state problems on triangular meshes (2022) (0)
- STRONG STABILITY OF EXPLICIT RUNGE–KUTTA TIME (2018) (0)
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- A NEW TYPE OF SIMPLIFIED INVERSE LAX-WENDROFF (2022) (0)
- Supersonic Film Cooling Simulation with a DG Method (2016) (0)
- ESSENTIALLY NON-OSCILLATORY METHODS FOR TWO-DIMENSIONAL HYDRODYNAMIC MODELS (2007) (0)
- Foreword (2005) (0)
- High Order Accurate Weighted Essentially Non-oscillatory Algorithms for Shock Calculations (2012) (0)
- An implicit high-order radial basis function-based differential quadrature-finite volume method on unstructured grids to simulate incompressible flows with heat transfer (2022) (0)
- Exponential Scaling and the Time Growth of the Error of DG for Advection-Reaction Problems (2017) (0)
- High-resolution ILW outflow boundary treatment for the Navier–Stokes equations (2022) (0)
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations q (2005) (0)
- A Priori Estimates of Solution of a Homogeneous Boundary Value Problem for Parabolic Type Equations by the Discontinuous Galerkin Method on Staggered Grids (2017) (0)
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- On the conservation of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations ∗ (2022) (0)
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- The heterogeneous multiscale method based on the discontinuous Galerkin and the finite volume methods for hyperbolic problems (2005) (0)
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- Provably Positive Central Discontinuous galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations (2023) (0)
- Overview: The Development of SSP Methods (2011) (0)
- Final Technical Report: High Order Discontinuous Galerkin Method and Applications (2019) (0)
- A WENO algorithm for radiative transfer with resonant scattering: the time scale of the Wouthuysen-Field Coupling (2008) (0)
- Bounds and Barriers for SSP Runge—Kutta Methods (2011) (0)
- Completed repeated Richardson extrapolation for compressible fluid flows (2020) (0)
- Relaxation and Preconditioning for High Order Discontinuous Galerkin Methods with Applications to Aeroacoustics and High Speed Flows (2004) (0)
- Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates 1 (2013) (0)
- Efficient Implementation of Weighted ENO Schemes — Source link (0)
- High Order Discontinuous Gelerkin Methods for Convection Dominated Problems with Application to Aeroacoustics (2000) (0)
- Bound-Preserving High Order Schemes for Hyperbolic Equations: Survey and Recent Developments (2021) (0)
- Final Report of NASA Langley Grant NCC1-01035 Relaxation and Preconditioning for High Order Discontinuous Galerkin Methods with Applications to Aeroacoustics and High Speed Flows (2004) (0)
- The SSP Coefficient for Runge—Kutta Methods (2011) (0)
- High order computational scheme for a dynamic continuum model for bi-directional flow (2009) (0)
- High Order Accuracy Computational Methods for Long Time Integration of Nonlinear PDEs in Complex Domains (1998) (0)
- Three-dimensional high order large-scale numerical investigation on the air explosion (2015) (0)
- Error Inhibiting Methods for Finite Elements (2020) (0)
- Discontinuous Galerkin method for Hamilton-Jacobi equations and front propagation with obstacles (2014) (0)
- Strong Stability Preserving Explicit Runge—Kutta Methods (2011) (0)
- Methods for High-Order Multi-Scale and Stochastic Problems Analysis, Algorithms, and Applications (2016) (0)
- Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods (0)
- Low Storage Optimal Explicit SSP Runge—Kutta Methods (2011) (0)
- r ICASE Report No . 91-32 ADA 236 842 ICASE THE P L-RKDG METHOD FOR TWO-DIMENSIONAL EULER EQUATIONS OF GAS DYNAMICS (0)
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- Simulation of incompressible flows around moving bodies using meshless finite differencing (2006) (0)
- Preface to Focused Section on Efficient High-Order Time Discretization Methods for Partial Differential Equations (2021) (0)
- High Order Accuracy Computational Methods in Aerodynamics Using Parallel Architectures (1995) (0)
- DISSIPATIVE NUMERICAL METHODS FOR THE HUNTER-SAXTON EQUATION (2009) (0)
- Numerical Methods for Hyperbolic Conservation Laws ( AM 257 ) by (2007) (0)
- Multi-Dimensional High Order Non-Oscillatory Numerical Methods for Discontinuous Problems in Parallel Structure. (1995) (0)
- A dynamic continuum modeling approach to the spatial analysis of air quality and housing location choice in a polycentric city (2019) (0)
- High Order Finite Difference Methods with Subcell Resolution for 2D Detonation Waves (2012) (0)
- On the existence and uniqueness properties of the Hoogendoorn–Bovy pedestrian flow model (2022) (0)
- A high order positivity-preserving polynomial projection remapping method (2023) (0)
- Preface to the Focused Issue in Honor of Professor Philip Roe on the Occasion of His 80th Birthday (2020) (0)
- DISSIPATIVE NUMERICAL METHODS FOR THE HUNTER-SAXTON EQUATION (2010) (0)
- An immersed boundary-lattice Boltzmann flux solver for simulation of flows around structures with large deformation (2023) (0)
- International Workshop on Recent Advances in Variational / Hemivariational Inequalities and Applications (2017) (0)
- Boundedly rational continuum user equilibrium model for simultaneous departure time and route choice in tra ffi c assignment problems (2022) (0)
- Adaptive partitioning-based discrete unified gas kinetic scheme for flows in all flow regimes (2023) (0)
- High Order Accurate Modern Numerical Methods Applicable to Stellar Pulsations (1990) (0)
- Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products (2023) (0)
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