2025
[79] 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.
To appear in
SIAM Multiscale Modeling and Simulation
[78] Jiyong Li, Bin Wang,
A new framework for the construction and analysis of exponential wave integrators for the Zakharov system.
To appear in
IMA Journal of Numerical Analysis. DOI: 10.1093/imanum/draf016
[77] 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
[76] 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
[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.
To appear in
Acta Mathematica Sinica, English Series
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 methods for 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 high frequency, 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-order energy-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, (2019), 45(5), 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, (2019) 38: 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 Numer. Math. 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
[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) 3708-371
[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