Chi-Wang Shu - RankMe

311 papers Misc 1Journal 307Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Cell-Average Non-Separable Progressive Multivariate WENO Method for Image Processing Applications. CoRR Inmaculada Garcés, Pep Mulet, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2026	J	`jnl`	A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells. J. Comput. Phys. Nuo Lei, Juan Cheng, Chi-Wang Shu
2026	J	`jnl`	A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas. J. Comput. Phys. Kun Huang, Irene M. Gamba, Chi-Wang Shu
2026	J	`jnl`	Flux-Balanced Patankar-type Schemes for the Compressible Euler Equations. CoRR Thomas Izgin, Andreas Meister, Chi-Wang Shu, Davide Torlo
2026	J	`jnl`	Physical Constraint Preserving Alternative Finite-Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products. J. Sci. Comput. Deepak Bhoriya, Dinshaw S. Balsara, Praveen Chandrashekar, Chi-Wang Shu
2026	J	`jnl`	The ultraweak-local discontinuous Galerkin method for extended Fisher-Kolmogorov equations. J. Comput. Appl. Math. Fengyu Fu, Chi-Wang Shu, Qi Tao
2026	J	`jnl`	Third-Order Hybrid Finite Volume WENO Method with a Multilayer Perceptron Troubled-cell Indicator for Hyperbolic Conservation Laws. J. Sci. Comput. Rentian Hu, Chi-Wang Shu, Yong-Tao Zhang
2025	J	`jnl`	A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations. SIAM J. Sci. Comput. Chang Chen, Chi-Wang Shu
2025	J	`jnl`	A Sweeping Positivity-Preserving High Order Finite Difference WENO Scheme for Euler Equations. CoRR D. Chloe Griffin, Chi-Wang Shu
2025	J	`jnl`	A high order Lagrangian type discontinuous Galerkin scheme for the compressible Euler equations on straight-edge meshes. J. Sci. Comput. Wenjing Feng, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells. CoRR Nuo Lei, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas. CoRR Kun Huang, Irene M. Gamba, Chi-Wang Shu
2025	J	`jnl`	A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. Tianjiao Li, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems. CoRR Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu
2025	J	`jnl`	An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations. J. Comput. Phys. Yong Liu, Jianfang Lu, Chi-Wang Shu
2025	J	`jnl`	Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations. CoRR Chen Liu, Dionysis Milesis, Chi-Wang Shu, Xiangxiong Zhang
2025	J	`jnl`	Finite difference alternative WENO schemes with Riemann invariant-based local characteristic decompositions for compressible Euler equations. CoRR Yue Wu, Chi-Wang Shu
2025	J	`jnl`	Finite difference alternative WENO schemes with Riemann invariant-based local characteristic decompositions for compressible Euler equations. J. Comput. Phys. Yue Wu, Chi-Wang Shu
2025	J	`jnl`	High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems. CoRR Kailiang Wu, Xiangxiong Zhang, Chi-Wang Shu
2025	J	`jnl`	High order finite difference scheme with explicit-implicit-null time-marching for the compressible Navier-Stokes equations. J. Comput. Phys. Meiqi Tan, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	High-order implicit maximum-principle-preserving local discontinuous Galerkin methods for convection-diffusion equations. J. Comput. Appl. Math. Kaichang Yu, Juan Cheng, Yuanyuan Liu, Chi-Wang Shu
2025	J	`jnl`	High-order inverse Lax-Wendroff procedure for compressible fluid-structure interaction problems. J. Comput. Phys. Zepeng Liu, Yan Jiang, Chi-Wang Shu, Mengping Zhang
2025	J	`jnl`	Interface preserving mesh optimization method for multi-material simulations. J. Comput. Phys. Chao Zhang, Nuo Lei, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	L J. Sci. Comput. Yuanzhe Wei, Chi-Wang Shu
2025	J	`jnl`	Letter to Editor: Regarding the numerical results in "A novel finite-difference converged ENO scheme for steady-state simulations of Euler equations", by Tian Liang and Lin Fu, Journal of Computational Physics, 519 (2024), 113386. J. Comput. Phys. Yan Tan, Jun Zhu, Chi-Wang Shu, Jianxian Qiu
2025	J	`jnl`	On the convergence of the discontinuous Galerkin scheme for Einstein-scalar equations. Math. Comput. Yuewen Chen, Chi-Wang Shu, Shing-Tung Yau
2025	J	`jnl`	Optimal Error Estimate of a Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Equation with Degenerate Points Moving Along Space-Time Curves. J. Sci. Comput. Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang
2025	J	`jnl`	Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry. J. Comput. Phys. Wenjing Feng, Juan Cheng, Chi-Wang Shu
2025	J	`jnl`	Unified analysis of the semidiscrete discontinuous Galerkin methods for 2-D hyperbolic equations on Cartesian meshes using ℙ^{𝕜} elements: optimal error estimates and superconvergence. Math. Comput. Waixiang Cao, Chi-Wang Shu, Zhimin Zhang
2024	J	`jnl`	A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules. J. Sci. Comput. Ziyao Xu, Chi-Wang Shu
2024	J	`jnl`	A high order, block finite difference, error inhibiting scheme for the transport equation. CoRR Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
2024	J	`jnl`	A local discontinuous Galerkin method for the Novikov equation. Math. Comput. Qi Tao, Xiang-Ke Chang, Yong Liu, Chi-Wang Shu
2024	J	`jnl`	A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws. J. Comput. Phys. Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang
2024	J	`jnl`	A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws. CoRR Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang
2024	J	`jnl`	A non-separable progressive multivariate WENO- CoRR Pep Mulet, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2024	J	`jnl`	An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Yong Liu, Jianfang Lu, Chi-Wang Shu
2024	J	`jnl`	Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. SIAM J. Numer. Anal. Haijin Wang, Qi Tao, Chi-Wang Shu, Qiang Zhang
2024	J	`jnl`	Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. Math. Comput. Fengyu Fu, Chi-Wang Shu, Qi Tao, Boying Wu
2024	J	`jnl`	Correction to: Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. Haijin Wang, Qiang Zhang, Chi-Wang Shu
2024	J	`jnl`	Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws. CoRR Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar
2024	J	`jnl`	Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products. CoRR Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar
2024	J	`jnl`	Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. J. Comput. Phys. Boyang Ye, Jingwei Hu, Chi-Wang Shu, Xinghui Zhong
2024	J	`jnl`	Error Inhibiting Methods for Finite Elements. CoRR Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
2024	J	`jnl`	High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. Juan Cheng, Nuo Lei, Chi-Wang Shu
2024	J	`jnl`	High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. Nuo Lei, Juan Cheng, Chi-Wang Shu
2024	J	`jnl`	High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. Juan Cheng, Chi-Wang Shu
2024	J	`jnl`	Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. SIAM J. Sci. Comput. Ziyao Xu, Chi-Wang Shu
2024	J	`jnl`	Stability Analysis and Error Estimate of the Explicit Single-Step Time-Marching Discontinuous Galerkin Methods with Stage-Dependent Numerical Flux Parameters for a Linear Hyperbolic Equation in One Dimension. J. Sci. Comput. Yuan Xu, Chi-Wang Shu, Qiang Zhang
2023	J	`jnl`	A high order moving boundary treatment for convection-diffusion equations. J. Comput. Phys. Shihao Liu, Yan Jiang, Chi-Wang Shu, Mengping Zhang, Shuhai Zhang
2023	J	`jnl`	A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver. J. Comput. Phys. Xiaolu Gu, Yue Li, Juan Cheng, Chi-Wang Shu
2023	J	`jnl`	A high order positivity-preserving polynomial projection remapping method. J. Comput. Phys. Nuo Lei, Juan Cheng, Chi-Wang Shu
2023	J	`jnl`	A primal-dual approach for solving conservation laws with implicit in time approximations. J. Comput. Phys. Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu
2023	J	`jnl`	Approximated decompositions for computational continuum mechanics. J. Comput. Phys. Rafael B. de R. Borges, Flávio C. Colman, Nicholas D. P. da Silva, Gabriela W. O. Dicati, José E. Gubaua, Chi-Wang Shu
2023	J	`jnl`	Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system. Comput. Aided Civ. Infrastructure Eng. Liangze Yang, Sze Chun Wong, H. W. Ho, Chi-Wang Shu, Mengping Zhang
2023	J	`jnl`	Correction to: Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
2023	J	`jnl`	Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. CoRR Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar
2023	J	`jnl`	Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
2023	J	`jnl`	Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP. SIAM J. Sci. Comput. Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
2023	J	`jnl`	Enhancing reproducibility of research papers in SISC, JSC and JCP. J. Comput. Phys. Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
2023	J	`jnl`	Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. SIAM Rev. Kailiang Wu, Chi-Wang Shu
2023	J	`jnl`	Local discontinuous Galerkin methods for diffusive-viscous wave equations. J. Comput. Appl. Math. Dan Ling, Chi-Wang Shu, Wenjing Yan
2023	J	`jnl`	On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. J. Comput. Phys. Ziyao Xu, Chi-Wang Shu
2023	J	`jnl`	Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations. SIAM J. Numer. Anal. Kailiang Wu, Haili Jiang, Chi-Wang Shu
2023	J	`jnl`	Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. Math. Comput. Haijin Wang, Fengyan Li, Chi-Wang Shu, Qiang Zhang
2022	J	`jnl`	A primal-dual approach for solving conservation laws with implicit in time approximations. CoRR Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu
2022	J	`jnl`	An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. SIAM J. Sci. Comput. Yong Liu, Jianfang Lu, Chi-Wang Shu
2022	J	`jnl`	An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. J. Comput. Phys. Jie Du, Chi-Wang Shu, Xinghui Zhong
2022	J	`jnl`	Development and analysis of two new finite element schemes for a time-domain carpet cloak model. Adv. Comput. Math. Jichun Li, Chi-Wang Shu, Wei Yang
2022	J	`jnl`	Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR Jiawei Sun, Chi-Wang Shu, Yulong Xing
2022	J	`jnl`	Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach. Transp. Sci. Liangze Yang, Sze Chun Wong, H. W. Ho, Mengping Zhang, Chi-Wang Shu
2022	J	`jnl`	Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. J. Sci. Comput. Xinghui Zhong, Chi-Wang Shu
2022	J	`jnl`	High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. J. Comput. Phys. Ziyao Xu, Chi-Wang Shu
2022	J	`jnl`	High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. J. Comput. Phys. Nuo Lei, Juan Cheng, Chi-Wang Shu
2022	J	`jnl`	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. Jingqi Ai, Yuan Xu, Chi-Wang Shu, Qiang Zhang
2022	J	`jnl`	Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. CoRR Jiayin Li, Chi-Wang Shu, Jianxian Qiu
2022	J	`jnl`	Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. Jiawei Sun, Chi-Wang Shu, Yulong Xing
2022	J	`jnl`	On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. Comput. Appl. Math. Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2022	J	`jnl`	On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. CoRR Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister, Chi-Wang Shu
2022	J	`jnl`	Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. CoRR Kailiang Wu, Haili Jiang, Chi-Wang Shu
2022	J	`jnl`	Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. J. Comput. Appl. Math. Tingting Li, Jianfang Lu, Chi-Wang Shu
2022	J	`jnl`	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. Meiqi Tan, Juan Cheng, Chi-Wang Shu
2022	J	`jnl`	Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. Ziyao Xu, Chi-Wang Shu
2021	J	`jnl`	A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. J. Comput. Appl. Math. Qi Tao, Yan Xu, Chi-Wang Shu
2021	J	`jnl`	A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. Feng Zheng, Chi-Wang Shu, Jianxian Qiu
2021	J	`jnl`	An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. SIAM J. Numer. Anal. Jianfang Lu, Yong Liu, Chi-Wang Shu
2021	J	`jnl`	An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. J. Comput. Phys. Jianfang Lu, Chi-Wang Shu, Sirui Tan, Mengping Zhang
2021	J	`jnl`	Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Appl. Math. Comput. Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2021	J	`jnl`	Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. CoRR Qian Zhang, Yan Xu, Chi-Wang Shu
2021	J	`jnl`	Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. CoRR Kailiang Wu, Chi-Wang Shu
2021	J	`jnl`	Multi-resolution HWENO schemes for hyperbolic conservation laws. J. Comput. Phys. Jiayin Li, Chi-Wang Shu, Jianxian Qiu
2021	J	`jnl`	Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR Jiawei Sun, Chi-Wang Shu, Yulong Xing
2021	J	`jnl`	Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Numerische Mathematik Kailiang Wu, Chi-Wang Shu
2021	J	`jnl`	Weighted ghost fluid discontinuous Galerkin method for two-medium problems. J. Comput. Phys. Yun-Long Liu, Chi-Wang Shu, A-Man Zhang
2020	—	`book`	75 Years of Mathematics of Computation 75 Years of Mathematics of Computation Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld
2020	J	`jnl`	A Discontinuous Galerkin Method for Stochastic Conservation Laws. SIAM J. Sci. Comput. Yunzhang Li, Chi-Wang Shu, Shanjian Tang
2020	J	`jnl`	A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. SIAM J. Numer. Anal. Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020	—	`ch.`	A class of bound-preserving high order schemes: The main ideas and recent developments. 75 Years of Mathematics of Computation Chi-Wang Shu
2020	J	`jnl`	A new WENO-2r algorithm with progressive order of accuracy close to discontinuities. CoRR Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020	J	`jnl`	A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. J. Comput. Phys. Jun Zhu, Chi-Wang Shu
2020	J	`jnl`	An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Generalized Stochastic KdV Equations. J. Sci. Comput. Yunzhang Li, Chi-Wang Shu, Shanjian Tang
2020	J	`jnl`	An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. CoRR Qi Tao, Yan Xu, Chi-Wang Shu
2020	J	`jnl`	An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Math. Comput. Qi Tao, Yan Xu, Chi-Wang Shu
2020	J	`jnl`	Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. CoRR Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020	J	`jnl`	Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. SIAM J. Sci. Comput. Kailiang Wu, Chi-Wang Shu
2020	J	`jnl`	Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. Yuan Xu, Chi-Wang Shu, Qiang Zhang
2020	J	`jnl`	Error Inhibiting Methods for Finite Elements. CoRR Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
2020	J	`jnl`	Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. CoRR Zheng Sun, Chi-Wang Shu
2020	J	`jnl`	Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Acta Numer. Chi-Wang Shu
2020	J	`jnl`	Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis. SIAM J. Appl. Math. Haitao Fan, Chi-Wang Shu
2020	J	`jnl`	High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. Juan Cheng, Chi-Wang Shu, Peng Song
2020	J	`jnl`	High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. J. Comput. Phys. Jun Zhu, Jianxian Qiu, Chi-Wang Shu
2020	J	`jnl`	On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. Appl. Math. Lett. Sergio Amat, Juan Ruiz, Chi-Wang Shu
2020	J	`jnl`	On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. J. Comput. Phys. Shengrong Ding, Chi-Wang Shu, Mengping Zhang
2020	J	`jnl`	Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations. CoRR Kailiang Wu, Chi-Wang Shu
2020	J	`jnl`	Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. CoRR Yong Liu, Chi-Wang Shu, Mengping Zhang
2020	J	`jnl`	Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. J. Sci. Comput. Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang
2020	J	`jnl`	Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy. Multiscale Model. Simul. José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez, Chi-Wang Shu
2019	J	`jnl`	A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. Juntao Huang, Weifeng Zhao, Chi-Wang Shu
2019	J	`jnl`	A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. J. Comput. Phys. Jun Zhu, Chi-Wang Shu
2019	J	`jnl`	An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Appl. Math. Guosheng Fu, Chi-Wang Shu
2019	J	`jnl`	Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. J. Comput. Phys. Ziqiang Cheng, Jinwei Fang, Chi-Wang Shu, Mengping Zhang
2019	J	`jnl`	Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements. J. Comput. Phys. Alireza Mazaheri, Chi-Wang Shu, Vincent Perrier
2019	J	`jnl`	Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. J. Sci. Comput. Yong Liu, Tianheng Chen, Yanlai Chen, Chi-Wang Shu
2019	J	`jnl`	Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. CoRR Zheng Sun, Chi-Wang Shu
2019	J	`jnl`	Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. CoRR Kailiang Wu, Chi-Wang Shu
2019	J	`jnl`	Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. Haijin Wang, Qiang Zhang, Chi-Wang Shu
2019	J	`jnl`	Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. Math. Comput. Haijin Wang, Yunxian Liu, Qiang Zhang, Chi-Wang Shu
2019	J	`jnl`	On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. SIAM J. Numer. Anal. Sergio Amat, Juan Ruiz, Chi-Wang Shu
2019	J	`jnl`	Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. Guosheng Fu, Chi-Wang Shu
2019	J	`jnl`	Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. Juntao Huang, Chi-Wang Shu
2019	J	`jnl`	Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Numerische Mathematik Kailiang Wu, Chi-Wang Shu
2019	J	`jnl`	Strong Stability of Explicit Runge-Kutta Time Discretizations. SIAM J. Numer. Anal. Zheng Sun, Chi-Wang Shu
2019	J	`jnl`	The L SIAM J. Numer. Anal. Yuan Xu, Qiang Zhang, Chi-Wang Shu, Haijin Wang
2018	J	`jnl`	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. Yanlai Chen, Bo Dong, Chi-Wang Shu
2018	J	`jnl`	A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics. SIAM J. Sci. Comput. Kailiang Wu, Chi-Wang Shu
2018	J	`jnl`	A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. J. Comput. Phys. Zheng Sun, José A. Carrillo, Chi-Wang Shu
2018	J	`jnl`	A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. J. Comput. Phys. Jun Zhu, Chi-Wang Shu
2018	J	`jnl`	Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. J. Comput. Phys. Juntao Huang, Chi-Wang Shu
2018	J	`jnl`	Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. J. Sci. Comput. Dan Ling, Juan Cheng, Chi-Wang Shu
2018	J	`jnl`	Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes. J. Comput. Appl. Math. Cengke Shi, Jichun Li, Chi-Wang Shu
2018	J	`jnl`	Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. J. Comput. Phys. Yong Liu, Chi-Wang Shu, Mengping Zhang
2018	J	`jnl`	Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws. SIAM J. Sci. Comput. Tong Qin, Chi-Wang Shu
2018	J	`jnl`	Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. Yong Liu, Chi-Wang Shu, Mengping Zhang
2018	J	`jnl`	Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. SIAM J. Numer. Anal. Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang
2018	J	`jnl`	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. Haijin Wang, Qiang Zhang, Chi-Wang Shu
2017	J	`jnl`	A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. J. Sci. Comput. Yuan Liu, Yingda Cheng, Chi-Wang Shu
2017	J	`jnl`	A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. Guosheng Fu, Chi-Wang Shu
2017	J	`jnl`	Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems. SIAM J. Sci. Comput. Qingyuan Liu, Chi-Wang Shu, Mengping Zhang
2017	J	`jnl`	Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. J. Comput. Phys. Tianheng Chen, Chi-Wang Shu
2017	J	`jnl`	Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. J. Comput. Phys. Feng Zheng, Chi-Wang Shu, Jianxian Qiu
2017	J	`jnl`	Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. J. Sci. Comput. Xingjie Helen Li, Chi-Wang Shu, Yang Yang
2017	J	`jnl`	Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. J. Comput. Phys. Hua Shen, Chih-Yung Wen, Matteo Parsani, Chi-Wang Shu
2017	J	`jnl`	Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes. J. Comput. Phys. Jun Zhu, Chi-Wang Shu
2017	J	`jnl`	Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials. Comput. Math. Appl. Jichun Li, Cengke Shi, Chi-Wang Shu
2017	J	`jnl`	Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations. J. Sci. Comput. Tingting Li, Chi-Wang Shu, Mengping Zhang
2017	J	`jnl`	Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation. J. Sci. Comput. Huailing Song, Chi-Wang Shu
2016	J	`jnl`	A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds. SIAM J. Sci. Comput. Jie Du, Chi-Wang Shu
2016	J	`jnl`	A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation. J. Sci. Comput. Bo Dong, Chi-Wang Shu, Wei Wang
2016	J	`jnl`	An efficient class of WENO schemes with adaptive order. J. Comput. Phys. Dinshaw S. Balsara, Sudip Garain, Chi-Wang Shu
2016	J	`jnl`	Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. J. Comput. Phys. Tong Qin, Chi-Wang Shu, Yang Yang
2016	J	`jnl`	Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Math. Comput. Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
2016	J	`jnl`	High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations. SIAM J. Sci. Comput. Daming Yuan, Juan Cheng, Chi-Wang Shu
2016	J	`jnl`	High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. J. Comput. Phys. Chi-Wang Shu
2016	J	`jnl`	Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations. J. Comput. Phys. Jianfang Lu, Jinwei Fang, Sirui Tan, Chi-Wang Shu, Mengping Zhang
2016	J	`jnl`	Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. Math. Comput. Xiong Meng, Chi-Wang Shu, Boying Wu
2016	J	`jnl`	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. François Vilar, Chi-Wang Shu, Pierre-Henri Maire
2016	J	`jnl`	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. François Vilar, Chi-Wang Shu, Pierre-Henri Maire
2016	J	`jnl`	Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. Appl. Math. Comput. Haijin Wang, Chi-Wang Shu, Qiang Zhang
2016	J	`jnl`	Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. J. Comput. Appl. Math. Tingting Li, Chi-Wang Shu, Mengping Zhang
2015	J	`jnl`	A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes. J. Comput. Phys. Xuliang Liu, Shuhai Zhang, Hanxin Zhang, Chi-Wang Shu
2015	J	`jnl`	Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures. CoRR José A. Morales Escalante, Irene M. Gamba, Yingda Cheng, Armando Majorana, Chi-Wang Shu, James R. Chelikowsky
2015	J	`jnl`	Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation. J. Comput. Phys. Cheng Wang, Xinzhuang Dong, Chi-Wang Shu
2015	J	`jnl`	Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities. J. Sci. Comput. Zheng Chen, Chi-Wang Shu
2015	J	`jnl`	Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. SIAM J. Numer. Anal. Haijin Wang, Chi-Wang Shu, Qiang Zhang
2015	J	`jnl`	Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. SIAM J. Numer. Anal. Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang
2014	J	`jnl`	A discontinuous Galerkin scheme for front propagation with obstacles. Numerische Mathematik Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
2014	J	`jnl`	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 Qiang Zhang, Chi-Wang Shu
2014	J	`jnl`	Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients. J. Sci. Comput. Yifan Zhang, Wei Wang, Johnny Guzmán, Chi-Wang Shu
2014	J	`jnl`	Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. J. Comput. Phys. Ching-Shan Chou, Chi-Wang Shu, Yulong Xing
2014	J	`jnl`	Positivity-preserving Lagrangian scheme for multi-material compressible flow. J. Comput. Phys. Juan Cheng, Chi-Wang Shu
2014	J	`jnl`	Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. J. Comput. Appl. Math. Zheng Chen, Chi-Wang Shu
2014	J	`jnl`	Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates. J. Comput. Phys. Juan Cheng, Chi-Wang Shu
2013	J	`jnl`	A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang
2013	J	`jnl`	A new class of central compact schemes with spectral-like resolution I: Linear schemes. J. Comput. Phys. Xuliang Liu, Shuhai Zhang, Hanxin Zhang, Chi-Wang Shu
2013	J	`jnl`	A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods. J. Comput. Phys. Xinghui Zhong, Chi-Wang Shu
2013	J	`jnl`	An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws. SIAM J. Sci. Comput. Yan Jiang, Chi-Wang Shu, Mengping Zhang
2013	J	`jnl`	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. H. C. Yee, D. V. Kotov, Wei Wang, Chi-Wang Shu
2013	J	`jnl`	Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations. J. Comput. Phys. Yang Yang, Dongming Wei, Chi-Wang Shu
2013	J	`jnl`	Discontinuous Galerkin method for hyperbolic equations involving δ-singularities: negative-order norm error estimates and applications. Numerische Mathematik Yang Yang, Chi-Wang Shu
2013	J	`jnl`	High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields. J. Sci. Comput. Yulong Xing, Chi-Wang Shu
2013	J	`jnl`	Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Phys. Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu
2013	J	`jnl`	Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. J. Comput. Phys. Xiangyu Hu, Nikolaus A. Adams, Chi-Wang Shu
2013	J	`jnl`	Preface. J. Sci. Comput. Chi-Wang Shu
2013	J	`jnl`	Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. J. Comput. Phys. Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu
2013	J	`jnl`	Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities. J. Comput. Phys. H. C. Yee, D. V. Kotov, Wei Wang, Chi-Wang Shu
2012	J	`jnl`	A minimum entropy principle of high order schemes for gas dynamics equations. Numerische Mathematik Xiangxiong Zhang, Chi-Wang Shu
2012	J	`jnl`	Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. SIAM J. Numer. Anal. Yang Yang, Chi-Wang Shu
2012	J	`jnl`	Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws. J. Comput. Phys. Sirui Tan, Cheng Wang, Chi-Wang Shu, Jianguo Ning
2012	J	`jnl`	High order finite difference methods with subcell resolution for advection equations with stiff source terms. J. Comput. Phys. Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen
2012	J	`jnl`	Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu
2012	J	`jnl`	Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Sci. Comput. Xiangxiong Zhang, Yuanyuan Liu, Chi-Wang Shu
2012	J	`jnl`	Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. SIAM J. Numer. Anal. Yan Xu, Chi-Wang Shu
2012	J	`jnl`	Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2012	J	`jnl`	Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Phys. Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, Jianguo Ning
2012	J	`jnl`	Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. SIAM J. Numer. Anal. Xiong Meng, Chi-Wang Shu, Qiang Zhang, Boying Wu
2012	J	`jnl`	WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows. J. Sci. Comput. Tao Xiong, Chi-Wang Shu, Mengping Zhang
2011	J	`jnl`	A Discontinuous Galerkin Solver for Front Propagation. SIAM J. Sci. Comput. Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
2011	J	`jnl`	A high order moving boundary treatment for compressible inviscid flows. J. Comput. Phys. Sirui Tan, Chi-Wang Shu
2011	J	`jnl`	Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. J. Comput. Phys. Jing-Mei Qiu, Chi-Wang Shu
2011	J	`jnl`	Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows. J. Comput. Phys. Wei Wang, H. C. Yee, Björn Sjögreen, Thierry E. Magin, Chi-Wang Shu
2011	J	`jnl`	High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations. SIAM J. Sci. Comput. Yuanyuan Liu, Chi-Wang Shu, Mengping Zhang
2011	J	`jnl`	High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. J. Comput. Appl. Math. Rui Zhang, Mengping Zhang, Chi-Wang Shu
2011	J	`jnl`	High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows. Comput. Aided Civ. Infrastructure Eng. Tao Xiong, Mengping Zhang, Chi-Wang Shu, Sze Chun Wong, Peng Zhang
2011	J	`jnl`	Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes. J. Sci. Comput. Shuhai Zhang, Shufen Jiang, Chi-Wang Shu
2011	J	`jnl`	On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations. J. Sci. Comput. Yulong Xing, Chi-Wang Shu, Sebastian Noelle
2011	J	`jnl`	Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. J. Comput. Phys. Zhiliang Xu, Yingjie Liu, Huijing Du, Guang Lin, Chi-Wang Shu
2011	J	`jnl`	Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system. J. Comput. Phys. Jing-Mei Qiu, Chi-Wang Shu
2011	J	`jnl`	Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2011	J	`jnl`	Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Sci. Comput. Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu
2011	J	`jnl`	WENO methods. Scholarpedia Chi-Wang Shu
2010	J	`jnl`	A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. Xiangxiong Zhang, Chi-Wang Shu
2010	Misc	`conf`	A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study. ICCS Juan Cheng, Chi-Wang Shu
2010	J	`jnl`	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. Juan Cheng, Chi-Wang Shu
2010	J	`jnl`	An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method. J. Comput. Phys. Chunwu Wang, Chi-Wang Shu
2010	J	`jnl`	Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment. J. Sci. Comput. Tao Xiong, Mengping Zhang, Yong-Tao Zhang, Chi-Wang Shu
2010	J	`jnl`	Foreword. J. Sci. Comput. Sigal Gottlieb, Chi-Wang Shu
2010	J	`jnl`	Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. J. Comput. Phys. Sirui Tan, Chi-Wang Shu
2010	J	`jnl`	Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Phys. Yinhua Xia, Yan Xu, Chi-Wang Shu
2010	J	`jnl`	On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2010	J	`jnl`	On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2010	J	`jnl`	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. Qiang Zhang, Chi-Wang Shu
2010	J	`jnl`	Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. SIAM J. Numer. Anal. Yingda Cheng, Chi-Wang Shu
2009	J	`jnl`	Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems. SIAM J. Numer. Anal. Bo Dong, Chi-Wang Shu
2009	J	`jnl`	Foreword. J. Sci. Comput. Bernardo Cockburn, Chi-Wang Shu
2009	J	`jnl`	Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells. J. Comput. Phys. Zhiliang Xu, Yingjie Liu, Chi-Wang Shu
2009	J	`jnl`	Hierarchical reconstruction for spectral volume method on unstructured grids. J. Comput. Phys. Zhiliang Xu, Yingjie Liu, Chi-Wang Shu
2009	J	`jnl`	High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu
2009	J	`jnl`	High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems. SIAM Rev. Chi-Wang Shu
2009	J	`jnl`	High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. J. Comput. Phys. Wei Liu, Juan Cheng, Chi-Wang Shu
2009	J	`jnl`	High-order well-balanced schemes and applications to non-equilibrium flow. J. Comput. Phys. Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen
2009	J	`jnl`	Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. J. Sci. Comput. Yan Xu, Chi-Wang Shu
2009	J	`jnl`	The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship. Transp. Sci. Yadong Lu, Sze Chun Wong, Mengping Zhang, Chi-Wang Shu
2009	J	`jnl`	The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode. J. Sci. Comput. Wei Wang, Chi-Wang Shu
2008	J	`jnl`	A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Numer. Anal. Yan Xu, Chi-Wang Shu
2008	J	`jnl`	A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. Yingda Cheng, Chi-Wang Shu
2008	J	`jnl`	A second order discontinuous Galerkin fast sweeping method for Eikonal equations. J. Comput. Phys. Fengyan Li, Chi-Wang Shu, Yong-Tao Zhang, Hongkai Zhao
2008	J	`jnl`	Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. SIAM J. Numer. Anal. Jing-Mei Qiu, Chi-Wang Shu
2008	J	`jnl`	Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. SIAM J. Sci. Comput. Jing-Mei Qiu, Chi-Wang Shu
2008	J	`jnl`	Development of nonlinear weighted compact schemes with increasingly higher order accuracy. J. Comput. Phys. Shuhai Zhang, Shufen Jiang, Chi-Wang Shu
2008	J	`jnl`	Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits. SIAM J. Sci. Comput. Yan Xu, Chi-Wang Shu
2008	J	`jnl`	Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. J. Comput. Phys. Jun Zhu, Jianxian Qiu, Chi-Wang Shu, Michael Dumbser
2008	J	`jnl`	Superconvergence and time evolution of discontinuous Galerkin finite element solutions. J. Comput. Phys. Yingda Cheng, Chi-Wang Shu
2008	J	`jnl`	The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids. Multiscale Model. Simul. Wei Wang, Xiantao Li, Chi-Wang Shu
2007	J	`jnl`	A High Order WENO Scheme for a Hierarchical Size-Structured Population Model. J. Sci. Comput. Jun Shen, Chi-Wang Shu, Mengping Zhang
2007	J	`jnl`	A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions. J. Sci. Comput. Shuhai Zhang, Chi-Wang Shu
2007	J	`jnl`	A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. Yingda Cheng, Chi-Wang Shu
2007	J	`jnl`	A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations. J. Comput. Phys. Shanqin Chen, Weinan E, Yunxian Liu, Chi-Wang Shu
2007	J	`jnl`	A high order ENO conservative Lagrangian type scheme for the compressible Euler equations. J. Comput. Phys. Juan Cheng, Chi-Wang Shu
2007	J	`jnl`	Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. SIAM J. Numer. Anal. Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang
2007	J	`jnl`	High Resolution Schemes for a Hierarchical Size-Structured Model. SIAM J. Numer. Anal. Jun Shen, Chi-Wang Shu, Mengping Zhang
2007	J	`jnl`	High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes. J. Comput. Phys. Ching-Shan Chou, Chi-Wang Shu
2007	J	`jnl`	High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. J. Comput. Phys. Sebastian Noelle, Yulong Xing, Chi-Wang Shu
2007	J	`jnl`	Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J. Comput. Phys. Yinhua Xia, Yan Xu, Chi-Wang Shu
2007	J	`jnl`	Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes. SIAM J. Sci. Comput. Sean Curtis, Robert M. Kirby, Jennifer K. Ryan, Chi-Wang Shu
2006	J	`jnl`	2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods. J. Comput. Phys. José A. Carrillo, Irene M. Gamba, Armando Majorana, Chi-Wang Shu
2006	J	`jnl`	A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. J. Comput. Phys. Jianxian Qiu, Boo Cheong Khoo, Chi-Wang Shu
2006	J	`jnl`	A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. J. Comput. Phys. Peng Zhang, Sze Chun Wong, Chi-Wang Shu
2006	J	`jnl`	Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. SIAM J. Sci. Comput. Doron Levy, Suhas Nayak, Chi-Wang Shu, Yong-Tao Zhang
2006	J	`jnl`	Discontinuous Galerkin method based on non-polynomial approximation spaces. J. Comput. Phys. Ling Yuan, Chi-Wang Shu
2006	J	`jnl`	Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. SIAM J. Numer. Anal. Qiang Zhang, Chi-Wang Shu
2006	J	`jnl`	Foreword. J. Sci. Comput. David I. Gottlieb, Jan S. Hesthaven, George E. Karniadakis, Chi-Wang Shu
2006	J	`jnl`	High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes. J. Comput. Phys. Ching-Shan Chou, Chi-Wang Shu
2006	J	`jnl`	High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. J. Comput. Phys. Yulong Xing, Chi-Wang Shu
2006	J	`jnl`	High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms. J. Sci. Comput. Yulong Xing, Chi-Wang Shu
2006	J	`jnl`	Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems. J. Sci. Comput. Sigal Gottlieb, David I. Gottlieb, Chi-Wang Shu
2005	J	`jnl`	A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. SIAM J. Sci. Comput. Jianxian Qiu, Chi-Wang Shu
2005	J	`jnl`	Approximation of Hyperbolic Models for Chemosensitive Movement. SIAM J. Sci. Comput. Francis Filbet, Chi-Wang Shu
2005	J	`jnl`	Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem. SIAM J. Sci. Comput. Jennifer K. Ryan, Chi-Wang Shu, Harold Atkins
2005	J	`jnl`	Foreword. J. Sci. Comput. Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu
2005	J	`jnl`	Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. J. Sci. Comput. Fengyan Li, Chi-Wang Shu
2005	J	`jnl`	Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. J. Sci. Comput. Chi-Wang Shu, Wai-Sun Don, David I. Gottlieb, Oleg Schilling, Leland Jameson
2005	J	`jnl`	Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling. J. Sci. Comput. Youngsoo Ha, Carl L. Gardner, Anne Gelb, Chi-Wang Shu
2005	J	`jnl`	Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. Appl. Math. Lett. Fengyan Li, Chi-Wang Shu
2005	J	`jnl`	Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. SIAM J. Sci. Comput. Jianxian Qiu, Chi-Wang Shu
2005	J	`jnl`	The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems. Multiscale Model. Simul. Shanqin Chen, Weinan E, Chi-Wang Shu
2004	J	`jnl`	Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. SIAM J. Numer. Anal. Qiang Zhang, Chi-Wang Shu
2004	J	`jnl`	The Dynamics of a Plane Diode. SIAM J. Math. Anal. Yan Guo, Chi-Wang Shu, Tie Zhou
2003	J	`jnl`	Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli
2003	J	`jnl`	Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations. SIAM J. Sci. Comput. Jianxian Qiu, Chi-Wang Shu
2003	J	`jnl`	Foreword. J. Sci. Comput. Chi-Wang Shu
2003	J	`jnl`	High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. SIAM J. Sci. Comput. Yong-Tao Zhang, Chi-Wang Shu
2003	J	`jnl`	Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces. J. Sci. Comput. Kurt Sebastian, Chi-Wang Shu
2003	J	`jnl`	On the Conservation and Convergence to Weak Solutions of Global Schemes. J. Sci. Comput. Mark H. Carpenter, David I. Gottlieb, Chi-Wang Shu
2002	J	`jnl`	A Local Discontinuous Galerkin Method for KdV Type Equations. SIAM J. Numer. Anal. Jue Yan, Chi-Wang Shu
2002	J	`jnl`	Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. J. Sci. Comput. Jue Yan, Chi-Wang Shu
2001	J	`jnl`	Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode. VLSI Design Marcello A. Anile, José A. Carrillo, Irene M. Gamba, Chi-Wang Shu
2001	J	`jnl`	Numerical Comparison of WENO Finite Volume and Runge-Kutta Discontinuous Galerkin Methods. J. Sci. Comput. Tie Zhou, Yinfan Li, Chi-Wang Shu
2001	J	`jnl`	Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems. J. Sci. Comput. Bernardo Cockburn, Chi-Wang Shu
2001	J	`jnl`	Simulating Quasi-ballistic Transport in Si Nanotransistors. VLSI Design Kausar Banoo, Jung-Hoon Rhew, Mark S. Lundstrom, Chi-Wang Shu, Joseph W. Jerome
2001	J	`jnl`	Strong Stability-Preserving High-Order Time Discretization Methods. SIAM Rev. Sigal Gottlieb, Chi-Wang Shu, Eitan Tadmor
1999	J	`jnl`	A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations. SIAM J. Sci. Comput. Changqing Hu, Chi-Wang Shu
1998	J	`jnl`	Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries. VLSI Design Gui-Qiang G. Chen, Joseph W. Jerome, Chi-Wang Shu
1998	J	`jnl`	Applicability of the High Field Model: A Preliminary Numerical Study. VLSI Design Carlo Cercignani, Irene M. Gamba, Joseph W. Jerome, Chi-Wang Shu
1998	J	`jnl`	Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition. VLSI Design Carlo Cercignani, Irene M. Gamba, Joseph W. Jerome, Chi-Wang Shu
1998	J	`jnl`	Total variation diminishing Runge-Kutta schemes. Math. Comput. Sigal Gottlieb, Chi-Wang Shu
1997	J	`jnl`	Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution. CVGIP Graph. Model. Image Process. Kaleem Siddiqi, Benjamin B. Kimia, Chi-Wang Shu
1997	J	`jnl`	On the Gibbs Phenomenon and Its Resolution. SIAM Rev. David I. Gottlieb, Chi-Wang Shu
1995	J	`jnl`	Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation. VLSI Design Zhangxin Chen, Bernardo Cockburn, Joseph W. Jerome, Chi-Wang Shu
1995	J	`jnl`	The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions. VLSI Design Joseph W. Jerome, Chi-Wang Shu
1995	J	`jnl`	Transport effects and characteristic modes in the modeling and simulation of submicron devices. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. Joseph W. Jerome, Chi-Wang Shu
1993	—	`conf`	Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices. PPSC Zhangxin Chen, Bernardo Cockburn, Joseph W. Jerome, Chi-Wang Shu