论文

 2020
Bin Wang, Yaolin Jiang, Optimal convergence and long-time conservation of exponential integration for Schr"{o}dinger equations in a normal or highly oscillatory regime, (arXiv:2007.00592) 2020
Bin Wang, Xiaofei Zhao, Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field, (arXiv:submit/3190341) 2020
Bin Wang, Xinyuan Wu, Long-time oscillatory energy conservation of total energy-preserving methods for highly oscillatory Hamiltoniansystems, To appear in Journal of Computational Mathematics. 
Bin Wang, Xinyuan Wu, Yonglei Fang, Long time conservations of two-step symmetric methods for charged-particle dynamics in a normal or strong magnetic field, To appear in Calcolo. 
Bin Wang, Xinyuan Wu,  Exponential collocation methods for the cubic Schr"{o}dinger equation, Numerical Methods for Partial Differential Equations.  36 (2020) 1735-1757
Ernst Hairer, Christian Lubich, Bin Wang, A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field , Numer. Math. 144 (2020) 787-809
Bin Wang, Xinyuan Wu, Yonglei Fang, A continuous-stage modified Leap-frog scheme for high-dimensional semi-linear Hamiltonian wave equations, Numerical Mathematics: Theory, Methods and Applications 13 (2020) 814-844
Bin Wang, Exponential energy-preserving methods for charged-particle dynamics in a  strong and constant magnetic field (arXiv:1812.11038) Journal of Computational and Applied Mathematics (2020) https://doi.org/10.1016/j.cam.2019.112617
Xinyuan Wu, Bin Wang, Lijie Mei, Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs, Numerical Algorithms, (2020) https://doi.org/10.1007/s11075-020-00908-7
Ting Li, Bin Wang, Arbitrary-order energy-preserving methods for charged-particle dynamics, Applied Mathematics Letters, 100 (2020), 106050
2019
Bin Wang, Xinyuan Wu, The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations, IMA Journal of Numerical Analysis,39 (2019) 2016–2044
Bin Wang, Xinyuan Wu, Long-time momentum and actions behaviour of energy-preserving methods for semilinear wave equations via spatial spectral semi-discretizations, Advances in Computational Mathematics,  (2019), 45(5), 2921-2952
Bin Wang, Xinyuan Wu, Volume-preserving exponential integrators and their applications, J. Comput. Phys.  396(2019), 867-887
Bin Wang, Xinyuan Wu,  Exponential collocation  methods for conservative or dissipative systems. Journal of Computational and Applied Mathematics. 360 (2019) 99-116
Bin Wang, Xinyuan Wu,  A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein--Gordon equations, Applied Numerical Mathematics, 142 (2019)  64-89
Bin Wang, Xinyuan Wu, Global error bounds of one-stage extended RKN integrators for semilinear wave equations, Numerical Algorithms, 81(2019) 1203-1218
Ting Li, Bin Wang, Efficient energy-preserving methods for charged-particle dynamics, Applied Mathematics and Computation 361 (2019) 703-714
Yajun Wu, Bin Wang, Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems, Applied Mathematics Letters, 90 (2019) 215-222
Mingxue Shi, Hao Zhang, Bin Wang, Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems, Computational and Applied Mathematics, (2019) 38: 25
Yonglei Fang, Yanping Yang, Xiong You, Bin Wang, A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems, Numerical Algorithms, 81 (2019) 1235–1251
2018
Bin Wang, Xinyuan Wu, Functionally-fitted energy-preserving integrators for Poisson systems, Journal of Computational Physics, 364 (2018) 137-152
Bin Wang, Ting Li, Yajun Wu, Arbitrary-order functionally fitted energy-diminishing methods for gradient systems, Applied Mathematics Letters, 83 (2018) 130-139
Bin Wang, Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations, Mathematical Methods in the Applied Sciences, 41 (2018) 1998-2011
Jiyong Li , Xianfen Wang, Shuo Deng, Bin Wang, Symmetric trigonometrically-fitted two-step hybrid methods for oscillatory problems,Journal of Computational and Applied Mathematics, 344 (2018) 115–131
Yonglei Fang, Changying Liu, Bin Wang, Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System, Acta Mathematica Sinica, 34 (2018) 1863-1878
Xinyuan Wu, Bin Wang, ERKN integrators solving multi-frequency highly oscillatory systems with applications, AIP Conference Proceedings1978(1):020005 (2018) DOI: 10.1063/1.5043650
2017
Bin Wang, Xinyuan Wu, Fanwei Meng, Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second order differential equations, Journal of Computational and Applied Mathematics, 313 (2017) 185-201
Bin Wang, Hongli Yang, Fanwei Meng, Sixth order symplectic and symmetric explicit ERKN schemes for solving multi frequency oscillatory nonlinear Hamiltonian equations, Calcolo, 54 (2017) 117-140
Bin Wang, Fanwei Meng, Hongli Yang, Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations,Applied Numerical Mathematics, 119 (2017) 164-178
Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang, Exponential Fourier collocation methods for solving first-order differential equations, Journal of Computational Mathematics, 35 (2017) 711-736
Hao Zhang, Mingxue Shi, Jiyong Li, Bin Wang, Diagonal implicit symmetric ERKN integrators for solving oscillatory reversible systems, Int. J. Appl. Comput. Math. 3 (2017) S1229-S1247.
2016
Bin Wang, Arieh Iserles, Xinyuan Wu, Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems, Foundations of Computational Mathematics, 16 (2016) 151-181
Yanping Yang, Yonglei Fang, Xiong You, Bin Wang, Novel exponentially fitted two-derivative Runge-Kutta methods with equation-dependent coefficients for first-order differential equations, Discrete Dynamics in Nature and Society, (2016) 6 pp.
2015
Bin Wang, Guolong Li, Bounds on asymptotic numerical solvers for ordinary differential equations with extrinsic oscillation, Applied Mathematical Modelling, 39 (2015) 2528-2538
Bin Wang, Xinyuan Wu, Explicit multi frequency symmetric extended RKN integrators for solving multi-frequency and multidimensional oscillatory reversible systems, Calcolo 52 (2015) 207-231
2014
Bin Wang, Xinyuan Wu, Improved Filon type asymptotic methods for highly oscillatory differential equations with multiple time scales, Journal of Computational Physics, 276 (2014) 62-73
Bin Wang, Xinyuan Wu, A highly accurate explicit symplectic ERKN method for multi frequency and multidimensional oscillatory Hamiltonian systems, Numerical Algorithms, 65 (2014) 705-721
Bin Wang, Arieh Iserles, Dirichlet series for dynamical systems of first order ordinary differential equations, Discrete and Continuous Dynamical Systems-Series B, 19 (2014) 281-298
2013
Bin Wang, Kai Liu, Xinyuan Wu, A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems, Journal of Computational Physics, 243 (2013) 210-223
Bin Wang, Xinyuan Wu, Jianlin Xia, Error bounds for explicit ERKN methods for systems of oscillatory second-order differential equations,Applied Numerical Mathematics, 74 (2013) 17-34
Bin Wang, Xinyuan Wu, Hua Zhao, Novel improved multidimensional Störmer Verlet formulas with applications to four aspects in scientific computation, Mathematical and Computer Modelling, 57 (2013) 857-872
Xinyuan Wu, Bin Wang, Wei Shi, Efficient energy preserving integrators for oscillatory Hamiltonian systems, Journal of Computational Physics, 235 (2013) 587-605
Xinyuan Wu, Bin Wang, Kai Liu, Hua Zhao, ERKN methods for long term integration of multidimensional orbital problems, Applied Mathematical Modelling, 37 (2013) 2327-2336
Xinyuan Wu, Bin Wang, Wei Shi, Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix, Applied Mathematical Modelling, 37 (2013) 6505-6518
2012
Bin Wang, Xinyuan Wu, A new high precision energy preserving integrator for system of oscillatory second-order differential equations, Physics Letters A, 376 (2012) 1185-1190
Xinyuan Wu, Bin Wang, Wei Shi, Xiong You, On extended RKN integrators for multidimensional perturbed oscillators with applications, Applied Mathematical Modelling, 36 (2012) 1504-1513
Xinyuan Wu, Bin Wang, Jianlin Xia, Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nystrom methods, BIT Numer. Math. 52 (2012) 773-795
Jiyong Li, Bin Wang, Xiong You, Xinyuan Wu, Two step extended RKN methods for oscillatory systems, Computer Physics Communications, 182 (2011) 2486-2507
2010
Xinyuan Wu, Bin Wang, Multidimensional adapted Runge-Kutta-Nystrom methods for oscillatory systems, Computer Physics Communications, 181 (2010) 1955-1962
Xinyuan Wu, Bin Wang, Comments on "Embedded pair of extended Runge-Kutta-Nystrom type methods for perturbed oscillators", Applied Mathematical Modelling, 34 (2010) 3708-371
Xinyuan Wu, Xiong You, Wei Shi, Bin Wang, ERKN integrators for systems of oscillatory second-order differential equations, Computer Physics Communications, 181 (2010) 1873-1887