Kailiang Wu
Orcid: 0000-0002-9042-3909
According to our database1,
Kailiang Wu
authored at least 44 papers
between 2014 and 2024.
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Bibliography
2024
A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations.
SIAM J. Sci. Comput., February, 2024
High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State.
J. Sci. Comput., February, 2024
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics.
J. Comput. Phys., February, 2024
On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws.
SIAM J. Numer. Anal., 2024
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws.
CoRR, 2024
High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms.
CoRR, 2024
GQL-Based Bound-Preserving and Locally Divergence-Free Central Discontinuous Galerkin Schemes for Relativistic Magnetohydrodynamics.
CoRR, 2024
2023
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes.
SIAM Rev., November, 2023
On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation.
J. Comput. Phys., November, 2023
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers.
J. Comput. Phys., September, 2023
Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?
J. Comput. Phys., March, 2023
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations.
SIAM J. Numer. Anal., February, 2023
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws.
CoRR, 2023
Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems.
CoRR, 2023
Deep-OSG: A deep learning approach for approximating a family of operators in semigroup to model unknown autonomous systems.
CoRR, 2023
2022
On Energy Laws and Stability of Runge-Kutta Methods for Linear Seminegative Problems.
SIAM J. Numer. Anal., 2022
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields.
J. Comput. Phys., 2022
A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes.
J. Comput. Phys., 2022
Deep neural network modeling of unknown partial differential equations in nodal space.
J. Comput. Phys., 2022
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics.
CoRR, 2022
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations.
CoRR, 2022
2021
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness.
SIAM J. Sci. Comput., 2021
Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics.
SIAM J. Sci. Comput., 2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations.
Numerische Mathematik, 2021
2020
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations.
SIAM J. Sci. Comput., 2020
Structure-Preserving Method for Reconstructing Unknown Hamiltonian Systems From Trajectory Data.
SIAM J. Sci. Comput., 2020
J. Sci. Comput., 2020
J. Comput. Phys., 2020
A Non-Intrusive Correction Algorithm for Classification Problems with Corrupted Data.
CoRR, 2020
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes.
Numerische Mathematik, 2019
J. Comput. Phys., 2019
J. Comput. Phys., 2019
2018
A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics.
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
J. Comput. Phys., 2018
An Explicit Neural Network Construction for Piecewise Constant Function Approximation.
CoRR, 2018
2017
SIAM J. Sci. Comput., 2017
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty.
J. Comput. Phys., 2017
2016
A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics.
SIAM J. Sci. Comput., 2016
2015
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics.
J. Comput. Phys., 2015
2014
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics.
J. Comput. Phys., 2014
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics.
J. Comput. Phys., 2014