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  • 教师姓名: 王斌
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基本信息 (Basic Information)

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

wangbinmaths@xjtu.edu.cn

研究方向 (Research)
常/偏微分方程数值计算与分析 (Numerical Methods and Analysis of Differential Equations)
保结构神经网络算法与分析 (Structure-Preserving Neural Network Algorithms and Analysis)
等离子体中的模型方程及其算法 (Model Equations in Plasma and Their Algorithms)
偏微分方程的低正则算法 (Low-Regularity Algorithms for Partial Differential Equations)
高振荡系统的科学计算与长期分析 (Scientific Computation and Long-Term Analysis of Highly Oscillatory Systems)
哈密尔顿系统的几何数值积分 (Geometric Numerical Integration for Hamiltonian Systems)
荣誉称号
 
陕西省工业与应用数学学会 青年科技奖,2025
西安交通大学小米青年学者,2023
西安交通大学“思源学者”,2020
西安交通大学青年拔尖人才支持计划A类,2019年
中国仿真学会优秀科研工作者,2019年
德国洪堡学者,2017年
山东省“优青”,2017年 

 

学术任职
中国仿真学会  第五届青年工作委员会  主任 (2025-)
中国仿真学会  第八、九届仿真算法专业委员会  委员 (2020-)
中国仿真学会  第一、二届不确定性系统分析与仿真委员会  委员 (2021-)
中国仿真学会  第四届智能物联系统建模与仿真专业委员会  委员 (2025-)
陕西省工业与应用数学学会  第七届理事会常务理事、副秘书长 (2023-)
陕西省工业与应用数学学会  第一届青年工作委员会  委员 (2020-)
International Journal of Modeling, Simulation, and Scientific Computing 编委 (2026-)
工作经历
2019年10月-今,西安交通大学,数学与统计学院,教授,博导
2017年07月-2019年02月,德国图宾根大学,数学系,洪堡学者(博士后,合作导师:Christian Lubich)
2015年01月-2019年09月,曲阜师范大学,数学科学学院,讲师、副教授、教授
2013年09月-2014年12月,青岛科技大学,数理学院,讲师

 

教育经历
2010年9月-2013年6月,南京大学,博士                 导师:吴新元
2011年9月-2012年9月,剑桥大学,联合培养博士   导师:Arieh Iserles
2008年9月-2010年6月,南京大学,硕士                 导师:吴新元
2004年9月-2008年6月,山东师范大学,学士
主持(参与)项目
国家自然科学基金面上项目,进行中
陕西数理基础科学研究项目,进行中
国家重点研发计划项目(参与),进行中
西安交通大学青年拔尖人才项目,已结题
山东省优秀青年基金,已结题
国家自然科学基金青年科学基金,已结题
山东省自然科学基金青年基金,已结题
中国博士后科学基金面上资助一等资助,已结题
山东省博士后创新项目,已结题
论文 Publications

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.

著作 Monographs