Publications

Monte Carlo quasi-interpolation of spherical data

Zhengjie Sun*, Mengyuan Lv, and Xingping Sun

To appear in SIAM Journal on Numerical Analysis

Quasi-interpolation using generalized Gaussian kernels

Wenwu Gao, Le Hu, Zhengjie Sun*, and Changwei Wang

Journal of Computational and Applied Mathematics, 483, 117438

A meshless energy-preserving scheme for conservative partial differential equations using kernel-based Galerkin methods

Zhongting Xu, Zhengjie Sun*, and Shengliang Zhang

Engineering Analysis with Boundary Elements, 183, 106615

A meshless structure-preserving quasi-interpolation method for the Allen–Cahn equation on spheres

Zhengjie Sun and Yuyan Gao*

Mathematics and Computers in Simulation, 241, 31–47

Scaled zonal kernel quasi-interpolation on spheres

Zhengjie Sun, Wenwu Gao*, and Xingping Sun

IMA Journal of Numerical Analysis · doi.org/10.1093/imanum/draf104

Learning PDEs from data on closed surfaces with sparse optimization

Zhengjie Sun, Leevan Ling, and Ran Zhang*

Communications in Computational Physics, 37, 289–314

Structure-preserving kernel-based meshless methods for solving dissipative PDEs on surfaces

Zhengjie Sun*, Leevan Ling, and Meng Chen

Journal of Scientific Computing, 102(3), 70

Quasi-interpolation for high-dimensional function approximation

Wenwu Gao, Jiecheng Wang, Zhengjie Sun*, and Gregory E. Fasshauer

Numerische Mathematik, 156, 1855–1885

A high-order meshless linearly implicit energy-preserving method for nonlinear wave equations on Riemannian manifolds

Zhengjie Sun* and Leevan Ling

SIAM Journal on Scientific Computing, 46(6), A3779–A3802

Energy-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods

Zhengjie Sun and Qinjiao Gao*

Communications in Nonlinear Science and Numerical Simulation, 131, 107831

High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations

Zhengjie Sun* and Yuyan Gao

Numerical Algorithms, 93, 1719–1739

A radial basis function approximation method for conservative Allen–Cahn equations on surfaces

Zhengjie Sun and Shengliang Zhang*

Applied Mathematics Letters, 143, 108634

Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation

Shengliang Zhang, Zhengjie Sun*, and Alpesh Kumar

Computers & Mathematics with Applications, 134, 16–32

A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction

Zhengjie Sun* and Yuyan Gao

International Journal of Computer Mathematics, 100(6), 1303–1320

A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations

Zhengjie Sun and Leevan Ling*

SIAM Journal on Scientific Computing, 44(4), A2789–A2807

A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs

Zhengjie Sun, Wenwu Gao, and Ran Yang*

Journal of Scientific Computing, 93(2), 37

A conservative scheme for two-dimensional Schrödinger equation based on multi-quadric trigonometric quasi-interpolation approach

Zhengjie Sun*

Applied Mathematics and Computation, 423

Multi-symplectic quasi-interpolation method for the KdV equation

Yuyan Gao and Zhengjie Sun*

Computational and Applied Mathematics, 41(3), 112

An iterated quasi-interpolation approach for derivative approximation

Zhengjie Sun, Zongmin Wu, and Wenwu Gao*

Numerical Algorithms, 85, 255–276

Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations

Zhengjie Sun*

Journal of Computational Physics, 395, 125–143

High-order numerical solution of time-dependent differential equations with quasi-interpolation

Wenwu Gao and Zhengjie Sun*

Applied Numerical Mathematics, 146, 276–290

A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation

Zhengjie Sun*

Engineering Analysis with Boundary Elements, 104, 1–7

Meshless conservative schemes for multivariate Hamiltonian partial differential equations

Zhengjie Sun and Zongmin Wu*

Journal of Scientific Computing, 76, 1168–1187

A energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation

Zhengjie Sun and Wenwu Gao*

Applied Mathematical Modelling, 57, 179–191

Conservative or dissipative quasi-interpolation method for evolutionary partial differential equations

Zhengjie Sun*

Engineering Analysis with Boundary Elements, 96, 78–83

A meshless scheme for Hamiltonian partial differential equations with conservation properties

Zhengjie Sun and Wenwu Gao*

Applied Numerical Mathematics, 119, 115–125