王斌(教授、博导) 西安交通大学,数学与统计学院
Prof. Bin Wang, School of Mathematics and Statistics, Xi'an Jiaotong University
2026
[87] Bin Wang, Zhen Miao, Yaolin Jiang, Two-scale exponential integrators with uniform accuracy for three-dimensional charged-particle dynamics under strong magnetic field, To appear in SIAM Multiscale Modeling and Simulation, (2026).
[86] Lina Wang, Bin Wang*, Jiyong Li, Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime, SIAM Multiscale Modeling and Simulation, 24 (2026) 1-31.
[85] Ting Li, Bin Wang*, A filtered two-step variational integrator for charged-particle dynamics in a moderate or strong magnetic field, To appear in IMA Journal of Numerical Analysis, (2026).
[84] Jiyong Li, Bin Wang*, A new framework for the construction and analysis of exponential wave integrators for the Zakharov system, IMA Journal of Numerical Analysis, 46 (2026) 938-969.
[83] Bin Wang, Lina Wang, Ruijie Yin, Xiaofei Zhao, Geometric and uniformly accurate Particle-in-Cell methods for Vlasov-Poisson system with strong magnetic field, Journal of Computational Physics, 558 (2026) 114867.
[82] Bin Wang*, Zhen Miao, Yaolin Jiang, Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime, ESAIM: Mathematical Modelling and Numerical Analysis, 60 (2026) 317-345.
[81] Jiyong Li, Bin Wang*, Time symmetric and asymptotic preserving exponential wave integrators for the quantum Zakharov system, Journal of Scientific Computing, 106 (2026) 15.
[80] Kai Liu, Bin Wang*, The construction and optimal error analysis of explicit energy-preserving methods for charged particle dynamics under strong magnetic field, Journal of Scientific Computing, 106 (2026) 20.
[79] Lina Wang, Bin Wang*, Jiyong Li, Explicit uniformly accurate integrators for the relativistic charged-particle dynamics under a strong magnetic field, To appear in Communications in Computational Physics, (2026).
[78] Wei Shi, Bin Wang, Kai Liu, A novel semi-analytical multiple invariants-preserving integrator for conservative PDEs, Numerical Mathematics: Theory, Methods and Applications, 19 (2026) 298-316.
2025
[77] Kai Liu, Bin Wang*, Xiaofei Zhao, Solving the long-time nonlinear Schr\"{o}dinger equation by a class of oscillation-relaxation integrators, SIAM Multiscale Modeling and Simulation, 23 (2025) 313-338.
[76] Jiyong Li, Xi Zhu, Bin Wang*, A uniformly accurate exponential wave integrator method for the nonlinear Klein-Gordon equation with highly oscillatory potential, ESAIM: Mathematical Modelling and Numerical Analysis, 59 (2025) 815-839.
[75] Kai Liu, Bin Wang, Ting Fu, Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems, Journal of Computational and Applied Mathematics, 457 (2025) 116300.
[74] Lun Ji, Yifa Tang, Bin Wang, Beibei Zhu, Energy-preserving methods for gyrocenter system in strong magnetic field, Physica Scripta, 100 (2025) 035205.
[73] Xianfa Hu, Yonglei Fang, Bin Wang, Two new families of fourth-order explicit exponential Runge-Kutta methods with four stages for first-order differential systems, Acta Mathematica Sinica, English Series, 41 (2025) 1923-1943.
2024
[72] Bin Wang, Yaolin Jiang, An exact in time Fourier pseudospectral method with multiple conservation laws for three-dimensional Maxwell's equations, ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024) 857-880.
[71] Bin Wang, Yaolin Jiang, Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems, BIT Numerical Mathematics, 64 (2024) 6.
[70] Bin Wang, Xianfa Hu, Xinyuan Wu, Two new classes of exponential Runge--Kutta integrators for efficiently solving stiff systems or highly oscillatory problems, International Journal of Computer Mathematics, 101 (2024) 1031-1049.
[69] Xianfa Hu, Wansheng Wang, Bin Wang, Yonglei Fang, Cost-reduction implicit exponential Runge–Kutta methods for highly oscillatory systems, Journal of Mathematical Chemistry, 62 (2024) 2191-2221.
[68] Xicui Li, Bin Wang*, Xin Zou, A novel class of linearly implicit energy-preserving schemes for conservative systems, Journal of Mathematical Analysis and Applications, 537 (2024) 128254.
[67] Zhen Miao, Bin Wang*, Yaolin Jiang, Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations, Journal of Scientific Computing, 98 (2024) 10.
[66] Zhen Miao, Bin Wang*, Yaolin Jiang, Energy-preserving parareal-RKN algorithms for Hamiltonian systems, Numerical Mathematics: Theory, Methods and Applications, 17 (2024) 121-144.
[65] Ruili Zhang, Tong Liu, Bin Wang, Jian Liu, Yifa Tang, Structure-preserving algorithm and its error estimate for the relativistic charged-particle dynamics under the strong magnetic field, Journal of Scientific Computing, 100 (2024) 70.
[64] Xin Zou, Bin Wang*, Long-term analysis of exponential integrators for charged-particle dynamics in a strong and constant magnetic field, International Journal of Modeling, Simulation, and Scientific Computing, 15 (2024) 2450017.
2023
[63] Bin Wang, Xiaofei Zhao, Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations, SIAM Journal on Numerical Analysis, 61 (2023) 1246-1277.
[62] Bin Wang, Yaolin Jiang, Semi-discretization and full-discretization with improved accuracy for charged-particle dynamics in a strong nonuniform magnetic field, ESAIM: Mathematical Modelling and Numerical Analysis, 57 (2023) 2427-2450.
[61] Bin Wang, Yaolin Jiang, Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems, Journal of Scientific Computing, 95 (2023) 66.
[60] Ting Li, Bin Wang*, Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields, Advances in Computational Mathematics, 49 (2023) 89.
[59] Ting Li, Changying Liu, Bin Wang*, One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations, Calcolo, 60 (2023) 12.
[58] Ting Li, Bin Wang*, Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields, Applied Mathematics Letters, (2023) 136.
[57] Xicui Li, Bin Wang*, Long term analysis of splitting methodsfor charged-particle dynamics, Applied Mathematics and Computation,441 (2023) 127682.
[56] Xicui Li, Bin Wang*, A novel class of explicit energy-preserving splitting methods for charged-particle dynamics, Applied Mathematics Letters, 145 (2023) 108776.
2022
[55] 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, Journal of Scientific Computing, 90 (2022) 93.
[54] Bin Wang*, Xinyuan Wu, Long-time oscillatory energy conservation of total energy-preserving methods for highly oscillatory Hamiltonian systems, Journal of Computational Mathematics, 40 (2022) 70-88.
[53] Bin Wang*, Xinyuan Wu,Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent highfrequency, Journal of Computational and Applied Mathematics, 416 (2022) 114545.
[52] Xicui Li, Bin Wang*, Energy-preserving splitting methods for charged-particle dynamics in a normal or strong magnetic field, Applied Mathematics Letters, 124 (2022) 107682.
[51] Ting Li, Bin Wang*, Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes, Applied Numerical Mathematics, 181 (2022) 1-22.
[50] Ting Li, Changying Liu, Bin Wang*, Long time energy and kinetic energy conservations of exponential integrators for highly oscillatory conservative systems, Numerical Mathematics: Theory, Methods and Applications, 15 (2022) 620-640.
2021
[49] Bin Wang, Xiaofei Zhao, Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field, SIAM Journal on Numerical Analysis, 59 (4) (2021) 2075-2105.
[48] Bin Wang*, Xinyuan Wu, A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems, BIT Numerical Mathematics, 61 (2021) 977-1004.
[47] Bin Wang*, Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field, Journal of Computational and Applied Mathematics, 387 (2021) 112617.
[46] Yonglei Fang, Ting Huang, Xiong You, Juan Zheng, Bin Wang, Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators, Journal of Computational and Applied Mathematics, 392 (2021) 113312.
[45] Xinyuan Wu, Bin Wang, Lijie Mei, Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs, Numerical Algorithms, 86 (2021) 693-727.
2020
[44] Ernst Hairer, Christian Lubich, Bin Wang, A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field, Numerische Mathematik, 144 (2020) 787-809.
[43] Bin Wang*, Xinyuan Wu, Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrodinger equation, Numerical Methods for Partial Differential Equations, 36 (2020) 1735-1757.
[42] Bin Wang*, Xinyuan Wu, Yonglei Fang, A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field, Calcolo, 57 (2020) 29.
[41] 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.
[40] Ting Li, Bin Wang*,Arbitrary-orderenergy-preserving methods for charged-particle dynamics, Applied Mathematics Letters, 100 (2020) 106050.
2019
[39] 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.
[38] Bin Wang*, Xinyuan Wu, Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretizations, Advances in Computational Mathematics, 45 (2019) 2921-2952.
[37] Bin Wang*, Xinyuan Wu, Volume-preserving exponential integrators and their applications, Journal of Computational Physics, 396 (2019) 867-887.
[36] Bin Wang*, Xinyuan Wu, Exponential collocation methods for conservative or dissipative systems, Journal of Computational and Applied Mathematics, 360 (2019) 99-116.
[35] 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.
[34] Bin Wang, Xinyuan Wu, Global error bounds of one-stage extended RKN integrators for semilinear wave equations, Numerical Algorithms, 81(2019) 1203-1218.
[33] Ting Li, Bin Wang*, Efficient energy-preserving methods for charged-particle dynamics, Applied Mathematics and Computation, 361 (2019) 703-714.
[32] Yajun Wu, Bin Wang*, Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems, Applied Mathematics Letters, 90 (2019) 215-222.
[31] Mingxue Shi, Hao Zhang, Bin Wang*, Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems, Computational and Applied Mathematics, 38 (2019) 25.
[30] 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
[29] Bin Wang*, Xinyuan Wu, Functionally-fitted energy-preserving integrators for Poisson systems, Journal of Computational Physics, 364 (2018) 137-152.
[28] Bin Wang*, Ting Li, Yajun Wu, Arbitrary-order functionally fitted energy-diminishing methods for gradient systems, Applied Mathematics Letters, 83 (2018) 130-139.
[27] 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.
[26] 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.
[25] Yonglei Fang, Changying Liu, Bin Wang, Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System, Acta Mathematica Sinica, 34 (2018) 1863-1878.
2017
[24] 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.
[23] 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.
[22] 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.
[21] 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.
2016
[20] 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.
[19] 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
[18] Bin Wang*, Guolong Li, Bounds on asymptotic numerical solvers for ordinary differential equations with extrinsic oscillation, Applied Mathematical Modelling, 39 (2015) 2528-2538.
[17] 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
[16] 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.
[15] 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.
[14] 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.
2013
[13] 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.
[12] 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.
[11] 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.
[10] Xinyuan Wu, Bin Wang, Wei Shi, Efficient energy preserving integrators for oscillatory Hamiltonian systems, Journal of Computational Physics, 235 (2013) 587-605.
[9] 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.
[8] 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
[7] 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.
[6] Xinyuan Wu, Bin Wang, Jianlin Xia, Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nystrom methods, BIT Numerical Mathematics, 52 (2012) 773-795.
[5] 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.
2011
[4] Jiyong Li, Bin Wang, Xiong You, Xinyuan Wu, Two step extended RKN methods for oscillatory systems, Computer Physics Communications, 182 (2011) 2486-2507.
2010
[3] Xinyuan Wu, Bin Wang, Multidimensional adapted Runge-Kutta-Nystrom methods for oscillatory systems, Computer Physics Communications, 181 (2010) 1955-1962.
[2] Xinyuan Wu, Bin Wang, Comments on "Embedded pair of extended Runge-Kutta-Nystrom type methods for perturbed oscillators", Applied Mathematical Modelling, 34 (2010) 3708-3719.
[1] 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.
Xinyuan Wu, Bin Wang, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, Springer, 2021, ISBN 978-981-16-0146-0 (jointly published with Science Press, China, ISBN 978-7-03-067112-7).
Xinyuan Wu, Bin Wang, Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, Springer Nature Singapore Pte Ltd, 2018 (jointly published with Science Press, Bejing, China, ISBN: 978-7-03-055128-3).
Xinyuan Wu, Xiong You, Bin Wang, Structure-Preserving Algorithms for Oscillatory Differential Equations, Springer, Berlin, Heidelberg, 2013, ISBN: 978-3-642-35337-6.