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Lastest Update: 10th Sep 2024

Submitted Paper

  • W.W. Gao, J.C. Wang, Z.J. Sun*, G. Fasshauer, Quasi-interpolation for high-dimensional function approximation, Numerische Mathematik, under revision (second round), 2022

  • Z.J. Sun*, L. Ling, A high-order meshless linearly implicit energy-preserving method for nonlinear wave equations on Riemannian manifolds, SIAM Journal on Scientific Computing, under revision, 2024

  • Z.J. Sun, W.W. Gao, X.P. Sun, Spherical quasi-interpolation using scaled zonal kernels, https://arxiv.org/abs/2408.14803, 2024

  • Z.J. Sun, L. Ling, and M. Chen*, Structure-preserving kernel-based methods for solving dissipative PDEs on surfaces, https://arxiv.org/abs/2312.17478, 2024

  • W.W. Gao, Z.J. Sun*, C.W. Wang, High-order quasi-interpolation with generalized Gaussian kernels restricted over tori, https://arxiv.org/abs/2407.21283, 2024


Journal Paper

  • Z.J. Sun, L. Ling, R. Zhang*, Learning PDEs from data on closed surfaces with sparse optimization, Communications in Computational Physics, Accepted, 2024. https://arxiv.org/abs/2405.06199

  • Z.J. Sun, Q.J. Gao*, Energy-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods, Commun. Nonlinear Sci. Numer. Simul., 131, 107831, 2024.

  • Z.J. Sun, Y.Y. Gao*, High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations, Numerical Algorithms, 93:1719-1739, 2023.

  • Z.J. Sun, S.L. Zhang*, A radial basis function approximation method for conservative Allen-Cahn equations on surfaces, Appl. Math. Letters, 143:108634, 2023.

  • S.L. Zhang, Z.J. Sun*, A. Kumar, Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation, Comput. Math. Appl., 134:16-32, 2023.

  • Z.J. Sun*, Y.Y. Gao, A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction, Int. J. Comput. Math., 100(6):1303-1320, 2023.

  • Z.J. Sun, L. Ling*, A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations, SIAM J. Sci. Comput., 44(4):A2789-2807, 2022.

  • Z.J. Sun, W.W. Gao, R. Yang*, A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs, J. Sci. Comput., 93(2):37, 2022.

  • Z.J. Sun*, A conservative scheme for two-dimensional Schrödinger equation based on multi-quadric trigonometric quasi-interpolation approach, Appl. Math. Comput., 423, 2022, 12pp.

  • Y.Y. Gao, Z.J. Sun*, Multi-symplectic quasi-interpolation method for the KdV equation, Comput. Appl. Math., 41(3):112, 2022, 17pp.

  • Z.J. Sun, Z.M. Wu, W.W. Gao*, An iterated quasi-interpolation approach for derivativeapproximation, Numer. Algorithms, 85:255-276, 2020.

  • Z.J. Sun*, Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations, J. Comput. Phys., 395:125-143, 2019.

  • W.W. Gao, Z.J. Sun*, High-order numerical solution of time-dependent differential equations with quasi-interpolation, Appl. Numer. Math., 146:276-290, 2019.

  • Z.J. Sun*, A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation, Eng. Anal. Bound. Elem., 104:1-7, 2019.

  • Z.J. Sun, Z.M. Wu*, Meshless conservative schemes for multivariate Hamiltonian partial differential equations, J. Sci. Comput., 76:1168-1187, 2018.

  • Z.J. Sun, W.W. Gao*, A energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation, Appl. Math. Model., 57:179-191, 2018.

  • Z.J. Sun*, Conservative or dissipative quasi-interpolation method for evolutionary partial differential equations, Eng. Anal. Bound. Elem., 96:78-83, 2018.

  • Z.J. Sun, W.W. Gao*, A meshless scheme for Hamiltonian partial differential equations with conservation properties, Appl. Numer. Math., 119:115-125, 2017.