Kailiang Wu - RankMe

108 papers A* 1Journal 107

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	COS(DG): A convex oscillation-suppressing framework for high-order discontinuous Galerkin methods. J. Comput. Phys. Huihui Cao, Yunqing Huang, Zhuoyun Li, Kailiang Wu
2026	J	`jnl`	High-order accurate bound-preserving adaptive moving mesh finite volume methods for 2D and 3D special relativistic hydrodynamics. J. Comput. Phys. Caiyou Yuan, Zhihao Zhang, Huazhong Tang, Kailiang Wu
2026	J	`jnl`	Oscillation-Eliminating Central DG Schemes on Cartesian Meshes for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Manting Peng, Kailiang Wu, Caiyou Yuan
2025	J	`jnl`	A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case. SIAM J. Sci. Comput. Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
2025	J	`jnl`	An active-flux-type scheme for ideal MHD with provable positivity and discrete divergence-free property. CoRR Mengqing Liu, Dongwen Pang, Rémi Abgrall, Kailiang Wu
2025	J	`jnl`	Bound-Preserving WENO Schemes for Temple-class systems. CoRR Wei Chen, Shumo Cui, Kailiang Wu, Tao Xiong, Baoyue Yu
2025	J	`jnl`	Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks. J. Comput. Phys. Wei Chen, Shumo Cui, Kailiang Wu, Tao Xiong
2025	J	`jnl`	Constraint-Preserving High-Order Compact OEDG Method for Spherically Symmetric Einstein-Euler System. CoRR Yuchen Huang, Manting Peng, Kailiang Wu
2025	J	`jnl`	DUE: A Deep Learning Framework and Library for Modeling Unknown Equations. CoRR Junfeng Chen, Kailiang Wu, Dongbin Xiu
2025	J	`jnl`	DUE: A Deep Learning Framework and Library for Modeling Unknown Equations. SIAM Rev. Junfeng Chen, Kailiang Wu, Dongbin Xiu
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 accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity. J. Comput. Phys. Zhihao Zhang, Huazhong Tang, Kailiang Wu
2025	J	`jnl`	On Local Minimum Entropy Principle of High-Order Schemes for Relativistic Euler Equations. CoRR Shumo Cui, Kailiang Wu, Linfeng Xu
2025	J	`jnl`	Oscillation-eliminating central DG schemes for hyperbolic conservation laws. CoRR Manting Peng, Kailiang Wu, Caiyou Yuan
2025	J	`jnl`	Physical-Constraint-Preserving High-Order Finite Volume WENO Method Via Geometric Quasilinearization for Chaplygin Gas Dynamics. J. Sci. Comput. Lae Yin Win, Yaping Chen, Yufeng Nie, Li Cai, Kailiang Wu
2025	J	`jnl`	Positivity-preserving new low-dissipation central-upwind schemes for compressible Euler equations. J. Comput. Phys. Shumo Cui, Yaguang Gu, Alexander Kurganov, Kailiang Wu, Ruixiao Xin
2025	J	`jnl`	Provably Convergent Newton-Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD. SIAM J. Numer. Anal. Chaoyi Cai, Jianxian Qiu, Kailiang Wu
2025	J	`jnl`	Provably positivity-preserving constrained transport scheme for 2D and 3D ideal magnetohydrodynamics. J. Comput. Phys. Dongwen Pang, Kailiang Wu
2025	J	`jnl`	Provably positivity-preserving, globally divergence-free central DG methods for ideal MHD system. CoRR Ruifang Yan, Huihui Cao, Kailiang Wu
2025	J	`jnl`	Provably realizability-preserving finite volume method for quadrature-based moment models of kinetic equations. CoRR Chuan Fan, Qian Huang, Kailiang Wu
2025	J	`jnl`	Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition. J. Comput. Phys. Shengrong Ding, Shumo Cui, Kailiang Wu
2025	J	`jnl`	Robust discontinuous Galerkin methods maintaining physical constraints for general relativistic hydrodynamics. J. Comput. Phys. Huihui Cao, Manting Peng, Kailiang Wu
2025	J	`jnl`	Spectral Volume from a Discontinuous Galerkin Perspective: Oscillation Elimination, Stability, and Optimal Error Estimates. SIAM J. Sci. Comput. Zhuoyun Li, Kailiang Wu
2025	J	`jnl`	Structure-preserving oscillation-eliminating discontinuous Galerkin schemes for ideal MHD equations: Locally divergence-free and positivity-preserving. J. Comput. Phys. Mengqing Liu, Kailiang Wu
2024	J	`jnl`	A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations. SIAM J. Sci. Comput. Shengrong Ding, Kailiang Wu
2024	J	`jnl`	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. SIAM J. Sci. Comput. Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
2024	J	`jnl`	A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case. CoRR Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
2024	J	`jnl`	Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case. CoRR Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
2024	J	`jnl`	Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. CoRR Shumo Cui, Alexander Kurganov, Kailiang Wu
2024	J	`jnl`	Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Shumo Cui, Alexander Kurganov, Kailiang Wu
2024	J	`jnl`	Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks. CoRR Wei Chen, Shumo Cui, Kailiang Wu, Tao Xiong
2024	J	`jnl`	Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems. IEEE Trans. Artif. Intell. Ce Zhang, Kailiang Wu, Zhihai He
2024	J	`jnl`	GQL-Based Bound-Preserving and Locally Divergence-Free Central Discontinuous Galerkin Schemes for Relativistic Magnetohydrodynamics. CoRR Shengrong Ding, Kailiang Wu
2024	J	`jnl`	GQL-based bound-preserving and locally divergence-free central discontinuous Galerkin schemes for relativistic magnetohydrodynamics. J. Comput. Phys. Shengrong Ding, Kailiang Wu
2024	J	`jnl`	High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers. J. Sci. Comput. Wei Chen, Kailiang Wu, Tao Xiong
2024	J	`jnl`	High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State. J. Sci. Comput. Linfeng Xu, Shengrong Ding, Kailiang Wu
2024	J	`jnl`	High-Order Oscillation-Eliminating Hermite WENO Method for Hyperbolic Conservation Laws. CoRR Chuan Fan, Kailiang Wu
2024	J	`jnl`	High-order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-type Equation of State. CoRR Linfeng Xu, Shengrong Ding, Kailiang Wu
2024	J	`jnl`	High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms. CoRR Jiangfu Wang, Huazhong Tang, Kailiang Wu
2024	J	`jnl`	High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms. J. Comput. Phys. Jiangfu Wang, Huazhong Tang, Kailiang Wu
2024	J	`jnl`	High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity. CoRR Zhihao Zhang, Huazhong Tang, Kailiang Wu
2024	J	`jnl`	High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws. J. Comput. Phys. Chuan Fan, Kailiang Wu
2024	J	`jnl`	On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws. SIAM J. Numer. Anal. Shumo Cui, Shengrong Ding, Kailiang Wu
2024	A*	`conf`	Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning. ICML Junfeng Chen, Kailiang Wu
2024	J	`jnl`	Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning. CoRR Junfeng Chen, Kailiang Wu
2024	J	`jnl`	Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD. CoRR Chaoyi Cai, Jianxian Qiu, Kailiang Wu
2024	J	`jnl`	Provably Positivity-Preserving Constrained Transport (PPCT) Second-Order Scheme for Ideal Magnetohydrodynamics. CoRR Dongwen Pang, Kailiang Wu
2024	J	`jnl`	Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. J. Comput. Phys. Chaoyi Cai, Jianxian Qiu, Kailiang Wu
2024	J	`jnl`	Robust DG Schemes on Unstructured Triangular Meshes: Oscillation Elimination and Bound Preservation via Optimal Convex Decomposition. CoRR Shengrong Ding, Shumo Cui, Kailiang Wu
2024	J	`jnl`	Robust Discontinuous Galerkin Methods Maintaining Physical Constraints for General Relativistic Hydrodynamics. CoRR Huihui Cao, Manting Peng, Kailiang Wu
2024	J	`jnl`	Spectral Volume from a DG perspective: Oscillation Elimination, Stability, and Optimal Error Estimates. CoRR Zhuoyun Li, Kailiang Wu
2024	J	`jnl`	Structure-Preserving Oscillation-Eliminating Discontinuous Galerkin Schemes for Ideal MHD Equations: Locally Divergence-Free and Positivity-Preserving. CoRR Mengqing Liu, Kailiang Wu
2023	J	`jnl`	A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. CoRR Shengrong Ding, Kailiang Wu
2023	J	`jnl`	Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems. CoRR Ce Zhang, Kailiang Wu, Zhihai He
2023	J	`jnl`	Deep-OSG: A deep learning approach for approximating a family of operators in semigroup to model unknown autonomous systems. CoRR Junfeng Chen, Kailiang Wu
2023	J	`jnl`	Deep-OSG: Deep learning of operators in semigroup. J. Comput. Phys. Junfeng Chen, Kailiang Wu
2023	J	`jnl`	Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. SIAM Rev. Kailiang Wu, Chi-Wang Shu
2023	J	`jnl`	High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. J. Comput. Phys. Wei Chen, Kailiang Wu, Tao Xiong
2023	J	`jnl`	Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions? J. Comput. Phys. Shumo Cui, Shengrong Ding, Kailiang Wu
2023	J	`jnl`	OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws. CoRR Manting Peng, Zheng Sun, Kailiang Wu
2023	J	`jnl`	On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. J. Comput. Phys. Yupeng Ren, Kailiang Wu, Jianxian Qiu, Yulong Xing
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`	Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. CoRR Chaoyi Cai, Jianxian Qiu, Kailiang Wu
2022	J	`jnl`	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. CoRR Alina Chertock, Alexander Kurganov, Michael Redle, Kailiang Wu
2022	J	`jnl`	A Physical-Constraint-Preserving Finite Volume WENO Method for Special Relativistic Hydrodynamics on Unstructured Meshes. CoRR Yaping Chen, Kailiang Wu
2022	J	`jnl`	A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes. J. Comput. Phys. Yaping Chen, Kailiang Wu
2022	J	`jnl`	Deep neural network modeling of unknown partial differential equations in nodal space. J. Comput. Phys. Zhen Chen, Victor Churchill, Kailiang Wu, Dongbin Xiu
2022	J	`jnl`	High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. CoRR Wei Chen, Kailiang Wu, Tao Xiong
2022	J	`jnl`	Is the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions? CoRR Shumo Cui, Shengrong Ding, Kailiang Wu
2022	J	`jnl`	On Energy Laws and Stability of Runge-Kutta Methods for Linear Seminegative Problems. CoRR Zheng Sun, Yuanzhe Wei, Kailiang Wu
2022	J	`jnl`	On Energy Laws and Stability of Runge-Kutta Methods for Linear Seminegative Problems. SIAM J. Numer. Anal. Zheng Sun, Yuanzhe Wei, Kailiang Wu
2022	J	`jnl`	On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws. CoRR Shumo Cui, Shengrong Ding, Kailiang Wu
2022	J	`jnl`	Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Schemes for the Euler Equations under Gravitational Fields. CoRR Haili Jiang, Huazhong Tang, Kailiang Wu
2022	J	`jnl`	Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields. J. Comput. Phys. Haili Jiang, Huazhong Tang, Kailiang Wu
2022	J	`jnl`	Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. CoRR Kailiang Wu, Haili Jiang, Chi-Wang Shu
2021	J	`jnl`	Deep Neural Network Modeling of Unknown Partial Differential Equations in Nodal Space. CoRR Zhen Chen, Victor Churchill, Kailiang Wu, Dongbin Xiu
2021	J	`jnl`	Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. CoRR Kailiang Wu, Chi-Wang Shu
2021	J	`jnl`	Minimum Principle on Specific Entropy and High-Order Accurate Invariant Region Preserving Numerical Methods for Relativistic Hydrodynamics. CoRR Kailiang Wu
2021	J	`jnl`	Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics. SIAM J. Sci. Comput. Kailiang Wu
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`	Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. SIAM J. Sci. Comput. Kailiang Wu, Yulong Xing
2020	J	`jnl`	A Non-Intrusive Correction Algorithm for Classification Problems with Corrupted Data. CoRR Jun Hou, Tong Qin, Kailiang Wu, Dongbin Xiu
2020	J	`jnl`	Data-driven deep learning of partial differential equations in modal space. J. Comput. Phys. Kailiang Wu, Dongbin Xiu
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`	Methods to Recover Unknown Processes in Partial Differential Equations Using Data. CoRR Zhen Chen, Kailiang Wu, Dongbin Xiu
2020	J	`jnl`	Methods to Recover Unknown Processes in Partial Differential Equations Using Data. J. Sci. Comput. Zhen Chen, Kailiang Wu, Dongbin Xiu
2020	J	`jnl`	Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations. CoRR Kailiang Wu, Chi-Wang Shu
2020	J	`jnl`	Structure-Preserving Method for Reconstructing Unknown Hamiltonian Systems From Trajectory Data. SIAM J. Sci. Comput. Kailiang Wu, Tong Qin, Dongbin Xiu
2020	J	`jnl`	Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. CoRR Kailiang Wu, Yulong Xing
2019	J	`jnl`	Data driven governing equations approximation using deep neural networks. J. Comput. Phys. Tong Qin, Kailiang Wu, Dongbin Xiu
2019	J	`jnl`	Data-Driven Deep Learning of Partial Differential Equations in Modal Space. CoRR Kailiang Wu, Dongbin Xiu
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`	Numerical aspects for approximating governing equations using data. J. Comput. Phys. Kailiang Wu, Dongbin Xiu
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`	Structure-preserving Method for Reconstructing Unknown Hamiltonian Systems from Trajectory Data. CoRR Kailiang Wu, Tong Qin, Dongbin Xiu
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`	An Explicit Neural Network Construction for Piecewise Constant Function Approximation. CoRR Kailiang Wu, Dongbin Xiu
2018	J	`jnl`	Data Driven Governing Equations Approximation Using Deep Neural Networks. CoRR Tong Qin, Kailiang Wu, Dongbin Xiu
2018	J	`jnl`	Numerical Aspects for Approximating Governing Equations Using Data. CoRR Kailiang Wu, Dongbin Xiu
2018	J	`jnl`	Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics. SIAM J. Numer. Anal. Kailiang Wu
2018	J	`jnl`	Sequential function approximation on arbitrarily distributed point sets. J. Comput. Phys. Kailiang Wu, Dongbin Xiu
2018	J	`jnl`	Sequential function approximation with noisy data. J. Comput. Phys. Yeonjong Shin, Kailiang Wu, Dongbin Xiu
2017	J	`jnl`	A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation. SIAM J. Sci. Comput. Kailiang Wu, Yeonjong Shin, Dongbin Xiu
2017	J	`jnl`	A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. J. Comput. Phys. Kailiang Wu, Huazhong Tang, Dongbin Xiu
2016	J	`jnl`	A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics. SIAM J. Sci. Comput. Kailiang Wu, Huazhong Tang
2015	J	`jnl`	High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. J. Comput. Phys. Kailiang Wu, Huazhong Tang
2014	J	`jnl`	A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. J. Comput. Phys. Kailiang Wu, Zhicheng Yang, Huazhong Tang
2014	J	`jnl`	Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. J. Comput. Phys. Kailiang Wu, Huazhong Tang