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Author ID: wu.xinyuan Recent zbMATH articles by "Wu, Xinyuan"
Published as: Wu, Xinyuan; Wu, Xin-Yuan; Wu, Xin-yuan; Wu, X. Y.; Wu, X.-Y.
Homepage: http://maths.nju.edu.cn/~XYWUMATHNJU/
External Links: ResearchGate · dblp
Documents Indexed: 173 Publications since 1985, including 4 Books
Co-Authors: 41 Co-Authors with 141 Joint Publications
1,836 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 1,618 times in 622 Documents Cited by Year
A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems. Zbl 1344.65060
Fang, Yonglei; Wu, Xinyuan
82
2007
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
64
2016
ERKN integrators for systems of oscillatory second-order differential equations. Zbl 1217.65141
Wu, Xinyuan; You, Xiong; Shi, Wei; Wang, Bin
62
2010
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
60
2008
Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. Zbl 1353.65074
Wang, Bin; Wu, Xinyuan; Meng, Fanwei
56
2017
Order conditions for ARKN methods solving oscillatory systems. Zbl 1197.65084
Wu, Xinyuan; You, Xiong; Xia, Jianlin
54
2009
Extended RKN-type methods for numerical integration of perturbed oscillators. Zbl 1197.65088
Yang, Hongli; Wu, Xinyuan; You, Xiong; Fang, Yonglei
48
2009
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
43
2012
Efficient energy-preserving integrators for oscillatory Hamiltonian systems. Zbl 1291.65363
Wu, Xinyuan; Wang, Bin; Shi, Wei
42
2013
A new continuation Newton-like method and its deformation. Zbl 1023.65043
Wu, Xinyuan
41
2000
Structure-preserving algorithms for oscillatory differential equations. Zbl 1276.65041
Wu, Xinyuan; You, Xiong; Wang, Bin
36
2013
A new high precision energy-preserving integrator for system of oscillatory second-order differential equations. Zbl 1255.70013
Wang, Bin; Wu, Xinyuan
36
2012
New high-order convergence iteration methods without employing derivatives for solving nonlinear equations. Zbl 0985.65047
Wu, Xinyuan; Fu, Dongsheng
33
2001
Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems. Zbl 1217.65140
Wu, Xinyuan; Wang, Bin
30
2010
Trigonometrically-fitted ARKN methods for perturbed oscillators. Zbl 1153.65073
Yang, Hongli; Wu, Xinyuan
29
2008
Two-step extended RKN methods for oscillatory systems. Zbl 1261.65078
Li, Jiyong; Wang, Bin; You, Xiong; Wu, Xinyuan
29
2011
Functionally fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems. Zbl 1342.65231
Li, Yu-Wen; Wu, Xinyuan
27
2016
Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems. Zbl 1342.65230
Li, Yu-Wen; Wu, Xinyuan
25
2016
Recent developments in structure-preserving algorithms for oscillatory differential equations. Zbl 1444.65003
Wu, Xinyuan; Wang, Bin
25
2018
On a class of quadratic convergence iteration formulae without derivatives. Zbl 1023.65042
Wu, Xinyuan; Wu, Hongwei
25
2000
A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems. Zbl 1349.65219
Wang, Bin; Liu, Kai; Wu, Xinyuan
24
2013
Two low accuracy methods for stiff systems. Zbl 1024.65053
Wu, Xin-Yuan; Xia, Jian-Lin
24
2001
A sixth-order \(A\)-stable explicit one-step method for stiff systems. Zbl 0999.65066
Wu, Xinyuan
22
1998
Exponential Fourier collocation methods for solving first-order differential equations. Zbl 1413.65309
Wang, Bin; Wu, Xinyuan; Meng, Fanwei; Fang, Yonglei
21
2017
Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems. Zbl 1415.65277
Mei, Lijie; Wu, Xinyuan
21
2017
A robust trigonometrically fitted embedded pair for perturbed oscillators. Zbl 1168.65362
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
20
2009
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052
Liu, Changying; Iserles, Arieh; Wu, Xinyuan
19
2018
Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations. Zbl 1284.65186
Shi, Wei; Wu, Xinyuan; Xia, Jianlin
19
2012
Quadratically convergent multiple roots finding method without derivatives. Zbl 0985.65048
Wu, Xin-Yuan; Xia, Jian-Lin; Shao, Rong
19
2001
A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators. Zbl 1121.65332
Fang, Yonglei; Wu, Xinyuan
18
2007
Order conditions for RKN methods solving general second-order oscillatory systems. Zbl 1292.65083
You, Xiong; Zhao, Jinxi; Yang, Hongli; Fang, Yonglei; Wu, Xinyuan
18
2014
General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs. Zbl 1349.65518
Li, Yu-Wen; Wu, Xinyuan
16
2015
The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications. Zbl 1379.35189
Liu, Changying; Wu, Xinyuan
15
2017
The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems. Zbl 0954.65059
Wu, Xinyuan; Xia, Jianlin
15
2000
An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations. Zbl 1027.65061
Wu, Xinyuan; Shen, Zuhe; Xia, Jianlin
15
2003
Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations. Zbl 1380.65205
Liu, Changying; Wu, Xinyuan
15
2017
An extended discrete gradient formula for oscillatory Hamiltonian systems. Zbl 1387.65129
Liu, Kai; Shi, Wei; Wu, Xinyuan
14
2013
Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation. Zbl 1305.65169
Wang, Bin; Wu, Xinyuan; Zhao, Hua
13
2013
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations. Zbl 1496.65188
Wang, Bin; Wu, Xinyuan
13
2019
New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system. Zbl 1035.65040
Wu, Xinyuan; Shao, Rong; Zhu, Yiran
13
2002
A note on stability of multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems. Zbl 1349.65232
Wu, Xinyuan
13
2012
Adapted Falkner-type methods solving oscillatory second-order differential equations. Zbl 1267.65088
Li, Jiyong; Wu, Xinyuan
13
2013
Structure-preserving algorithms for oscillatory differential equations II. Zbl 1352.65187
Wu, Xinyuan; Liu, Kai; Shi, Wei
12
2015
An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations. Zbl 1339.65130
Liu, Changying; Shi, Wei; Wu, Xinyuan
11
2014
Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. Zbl 1448.65266
Li, Jiyong; Wu, Xinyuan
11
2019
Functionally-fitted energy-preserving integrators for Poisson systems. Zbl 1398.65337
Wang, Bin; Wu, Xinyuan
11
2018
ERKN methods for long-term integration of multidimensional orbital problems. Zbl 1349.65233
Wu, Xinyuan; Wang, Bin; Liu, Kai; Zhao, Hua
11
2013
An analytical expression of solutions to nonlinear wave equations in higher dimensions with Robin boundary conditions. Zbl 1311.65131
Wu, Xinyuan; Mei, Lijie; Liu, Changying
11
2015
Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations. Zbl 1302.65166
Wang, Bin; Wu, Xinyuan; Xia, Jianlin
10
2013
A two-step explicit \(P\)-stable method for solving second order initial value problems. Zbl 1042.65056
Li, Qinghong; Wu, Xinyuan
10
2003
Extended Runge-Kutta-like formulae. Zbl 1104.65075
Wu, Xinyuan; Xia, Jianlin
10
2006
Error analysis of explicit TSERKN methods for highly oscillatory systems. Zbl 1293.65109
Li, Jiyong; Wu, Xinyuan
10
2014
On symplectic and symmetric ARKN methods. Zbl 1356.65243
Shi, Wei; Wu, Xinyuan
10
2012
Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies. Zbl 1197.65085
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
10
2008
Note on the improvement of Newton’s method for system of nonlinear equations. Zbl 1243.65058
Wu, Xinyuan
9
2007
A two-step explicit \(P\)-stable method of high phase-lag order for second order IVPs. Zbl 1053.65052
Li, Qinghong; Wu, Xinyuan
9
2004
An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations. Zbl 1381.35105
Liu, Changying; Wu, Xinyuan
8
2016
An explicit two-step method exact for the scalar test equation \(y'= \lambda y\). Zbl 0951.65065
Wu, Xin-Yuan; Xia, Jian-Lin
8
2000
A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems. Zbl 1348.65110
Yang, Hongli; Zeng, Xianyang; Wu, Xinyuan; Ru, Zhengliang
8
2014
Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix. Zbl 1426.65204
Wu, Xinyuan; Wang, Bin; Shi, Wei
7
2013
Global error bounds of one-stage extended RKN integrators for semilinear wave equations. Zbl 1422.65229
Wang, Bin; Wu, Xinyuan
7
2019
Multidimensional ARKN methods for general oscillatory second-order initial value problems. Zbl 1352.65183
Liu, Kai; Wu, Xinyuan
7
2014
A free-derivative iteration method of order three having convergence of both point and interval for nonlinear equations. Zbl 1030.65047
Zhu, Yiran; Wu, Xinyuan
7
2003
Reproducing kernel functions based univariate spline interpolation. Zbl 07413898
Geng, Fazhan; Wu, Xinyuan
7
2021
A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators. Zbl 1332.65152
Wu, Xinyuan; Liu, Changying; Mei, Lijie
6
2016
An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations with its applications. Zbl 1339.35296
Wu, Xinyuan; Liu, Changying
6
2016
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations. Zbl 1437.65152
Wang, Bin; Wu, Xinyuan
6
2019
A class of Runge-Kutta formulae of order three and four with reduced evaluations of function. Zbl 1032.65077
Wu, Xinyuan
6
2003
Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations. Zbl 1078.65038
Wu, Xinyuan
6
2005
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. Zbl 1472.65159
Wang, Bin; Wu, Xinyuan
6
2021
A linearly-fitted conservative (dissipative) scheme for efficiently solving conservative (dissipative) nonlinear wave PDEs. Zbl 1413.65369
Liu, Kai; Wu, Xinyuan; Shi, Wei
5
2017
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs. Zbl 1459.65106
Wu, Xinyuan; Wang, Bin; Mei, Lijie
5
2021
An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems. Zbl 1376.65106
Zeng, Xianyang; Yang, Hongli; Wu, Xinyuan
5
2017
An effective predictor-corrector process for large scale linear system of equations. Zbl 1105.65032
Wu, Xinyuan
5
2006
A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems. Zbl 1291.65362
Wang, Bin; Wu, Xinyuan
5
2014
Explicit multi-frequency symmetric extended RKN integrators for solving multi-frequency and multidimensional oscillatory reversible systems. Zbl 1329.65155
Wang, Bin; Wu, Xinyuan
4
2015
The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications. Zbl 1415.65161
Mei, Lijie; Wu, Xinyuan
4
2016
An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions. Zbl 1395.65090
Shi, Wei; Liu, Kai; Wu, Xinyuan; Liu, Changying
4
2017
Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations. Zbl 1436.65197
Liu, Changying; Wu, Xinyuan
4
2020
A significant improvement on Newton’s iterative method. Zbl 0940.65047
Wu, Xinyuan
4
1999
A note on symplectic and symmetric ARKN methods. Zbl 1349.65218
Shi, Wei; Wu, Xinyuan
4
2013
Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales. Zbl 1349.65229
Wang, Bin; Wu, Xinyuan
4
2014
New vector forms of elemental functions with Taylor series. Zbl 1043.65082
Wu, Xin-Yuan; Xia, Jian-Lin
4
2003
A two-step explicit \(P\)-stable method of high phase-lag order for linear periodic IVPs. Zbl 1111.65068
Li, Qinghong; Wu, Xinyuan
4
2007
Note on global convergence of ODE methods for unconstrained optimization. Zbl 1032.90047
Wu, Xinyuan; Xia, Jianlin; Ouyang, Zixiang
4
2002
A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field. Zbl 1448.65067
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
4
2020
Wilkinson’s iterative refinement of solution with automatic step-size control for linear system of equations. Zbl 1193.65033
Wu, Xinyuan; Fang, Yonglei
4
2007
Error analysis of a new transformation for multiple zeros finding free from derivative evaluations. Zbl 1050.65053
Wu, Xin-Yuan; Xia, Jianlin
4
2003
A note on computational algorithm for the inverse of a square matrix. Zbl 1121.65027
Wu, Xinyuan
4
2007
New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems. Zbl 1225.65072
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
4
2008
The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two. Zbl 1433.65340
Li, Jiyong; Shi, Wei; Wu, Xinyuan
3
2019
A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations. Zbl 1439.35417
Wang, Bin; Wu, Xinyuan
3
2019
Exponential collocation methods for conservative or dissipative systems. Zbl 1418.65093
Wang, Bin; Wu, Xinyuan
3
2019
Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros. Zbl 1170.65315
Wu, Xinyuan; Xia, Jianlin
3
2006
Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations. Zbl 1034.65025
Wu, Xin-yuan; Shao, Rong; Xue, Guo-he
3
2002
Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral. Zbl 07422794
Geng, F. Z.; Wu, X. Y.
3
2021
Comments on “Embedded pair of extended Runge-Kutta-Nyström type methods for perturbed oscillators”. Zbl 1201.65127
Wu, Xinyuan; Wang, Bin
3
2010
Two-step Runge-Kutta methods of order over five with reduced function evaluations. Zbl 1061.65069
Wu, Xinyuan
3
2004
A class of two-step explicit methods for periodic IVPs. Zbl 1095.65064
Li, Qinghong; Wu, Xinyuan
2
2005
New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions. Zbl 1429.65189
Liu, Changying; Wu, Xinyuan; Shi, Wei
2
2018
Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. Zbl 1492.65188
Mei, Lijie; Huang, Li; Wu, Xinyuan
2
2022
A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems. Zbl 07517110
Mei, Lijie; Huang, Li; Wu, Xinyuan
1
2022
A novel kernel functions algorithm for solving impulsive boundary value problems. Zbl 07590665
Geng, F. Z.; Wu, X. Y.
1
2022
Reproducing kernel functions based univariate spline interpolation. Zbl 07413898
Geng, Fazhan; Wu, Xinyuan
7
2021
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. Zbl 1472.65159
Wang, Bin; Wu, Xinyuan
6
2021
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs. Zbl 1459.65106
Wu, Xinyuan; Wang, Bin; Mei, Lijie
5
2021
Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral. Zbl 07422794
Geng, F. Z.; Wu, X. Y.
3
2021
Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems. Zbl 1471.65072
Liu, Changying; Wu, Xinyuan
2
2021
Geometric integrators for differential equations with highly oscillatory solutions. Zbl 07384483
Wu, Xinyuan; Wang, Bin
2
2021
Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions. Zbl 07513793
Mei, Lijie; Huang, Li; Wu, Xinyuan
1
2021
Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations. Zbl 1436.65197
Liu, Changying; Wu, Xinyuan
4
2020
A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field. Zbl 1448.65067
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
4
2020
A continuous-stage modified leap-frog scheme for high-dimensional semi-linear Hamiltonian wave equations. Zbl 1463.65407
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
2
2020
A new quadratic deviation of fuzzy random variable and its application to portfolio optimization. Zbl 1458.91200
Wu, X.; Ralescu, D. A.; Liu, Y.
1
2020
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations. Zbl 1496.65188
Wang, Bin; Wu, Xinyuan
13
2019
Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. Zbl 1448.65266
Li, Jiyong; Wu, Xinyuan
11
2019
Global error bounds of one-stage extended RKN integrators for semilinear wave equations. Zbl 1422.65229
Wang, Bin; Wu, Xinyuan
7
2019
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations. Zbl 1437.65152
Wang, Bin; Wu, Xinyuan
6
2019
The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two. Zbl 1433.65340
Li, Jiyong; Shi, Wei; Wu, Xinyuan
3
2019
A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations. Zbl 1439.35417
Wang, Bin; Wu, Xinyuan
3
2019
Exponential collocation methods for conservative or dissipative systems. Zbl 1418.65093
Wang, Bin; Wu, Xinyuan
3
2019
Volume-preserving exponential integrators and their applications. Zbl 1452.37083
Wang, Bin; Wu, Xinyuan
2
2019
Numerical analysis of an energy-conservation scheme for two-dimensional Hamiltonian wave equations with Neumann boundary conditions. Zbl 1407.35008
Liu, Changying; Shi, Wei; Wu, Xinyuan
2
2019
Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems. Zbl 1418.65077
Shi, Wei; Wu, Xinyuan
1
2019
Recent developments in structure-preserving algorithms for oscillatory differential equations. Zbl 1444.65003
Wu, Xinyuan; Wang, Bin
25
2018
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052
Liu, Changying; Iserles, Arieh; Wu, Xinyuan
19
2018
Functionally-fitted energy-preserving integrators for Poisson systems. Zbl 1398.65337
Wang, Bin; Wu, Xinyuan
11
2018
New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions. Zbl 1429.65189
Liu, Changying; Wu, Xinyuan; Shi, Wei
2
2018
Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems. Zbl 1381.65053
Liu, Kai; Wu, Xinyuan; Shi, Wei
1
2018
Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. Zbl 1353.65074
Wang, Bin; Wu, Xinyuan; Meng, Fanwei
56
2017
Exponential Fourier collocation methods for solving first-order differential equations. Zbl 1413.65309
Wang, Bin; Wu, Xinyuan; Meng, Fanwei; Fang, Yonglei
21
2017
Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems. Zbl 1415.65277
Mei, Lijie; Wu, Xinyuan
21
2017
The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications. Zbl 1379.35189
Liu, Changying; Wu, Xinyuan
15
2017
Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations. Zbl 1380.65205
Liu, Changying; Wu, Xinyuan
15
2017
A linearly-fitted conservative (dissipative) scheme for efficiently solving conservative (dissipative) nonlinear wave PDEs. Zbl 1413.65369
Liu, Kai; Wu, Xinyuan; Shi, Wei
5
2017
An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems. Zbl 1376.65106
Zeng, Xianyang; Yang, Hongli; Wu, Xinyuan
5
2017
An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions. Zbl 1395.65090
Shi, Wei; Liu, Kai; Wu, Xinyuan; Liu, Changying
4
2017
An essential extension of the finite-energy condition for extended Runge-Kutta-Nyström integrators when applied to nonlinear wave equations. Zbl 1488.65177
Mei, Lijie; Liu, Changying; Wu, Xinyuan
1
2017
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
64
2016
Functionally fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems. Zbl 1342.65231
Li, Yu-Wen; Wu, Xinyuan
27
2016
Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems. Zbl 1342.65230
Li, Yu-Wen; Wu, Xinyuan
25
2016
An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations. Zbl 1381.35105
Liu, Changying; Wu, Xinyuan
8
2016
A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators. Zbl 1332.65152
Wu, Xinyuan; Liu, Changying; Mei, Lijie
6
2016
An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations with its applications. Zbl 1339.35296
Wu, Xinyuan; Liu, Changying
6
2016
The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications. Zbl 1415.65161
Mei, Lijie; Wu, Xinyuan
4
2016
General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs. Zbl 1349.65518
Li, Yu-Wen; Wu, Xinyuan
16
2015
Structure-preserving algorithms for oscillatory differential equations II. Zbl 1352.65187
Wu, Xinyuan; Liu, Kai; Shi, Wei
12
2015
An analytical expression of solutions to nonlinear wave equations in higher dimensions with Robin boundary conditions. Zbl 1311.65131
Wu, Xinyuan; Mei, Lijie; Liu, Changying
11
2015
Explicit multi-frequency symmetric extended RKN integrators for solving multi-frequency and multidimensional oscillatory reversible systems. Zbl 1329.65155
Wang, Bin; Wu, Xinyuan
4
2015
High-order symplectic and symmetric composition methods for multi-frequency and multi-dimensional oscillatory Hamiltonian systems. Zbl 1340.65307
Liu, Kai; Wu, Xinyuan
1
2015
Order conditions for RKN methods solving general second-order oscillatory systems. Zbl 1292.65083
You, Xiong; Zhao, Jinxi; Yang, Hongli; Fang, Yonglei; Wu, Xinyuan
18
2014
An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations. Zbl 1339.65130
Liu, Changying; Shi, Wei; Wu, Xinyuan
11
2014
Error analysis of explicit TSERKN methods for highly oscillatory systems. Zbl 1293.65109
Li, Jiyong; Wu, Xinyuan
10
2014
A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems. Zbl 1348.65110
Yang, Hongli; Zeng, Xianyang; Wu, Xinyuan; Ru, Zhengliang
8
2014
Multidimensional ARKN methods for general oscillatory second-order initial value problems. Zbl 1352.65183
Liu, Kai; Wu, Xinyuan
7
2014
A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems. Zbl 1291.65362
Wang, Bin; Wu, Xinyuan
5
2014
Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales. Zbl 1349.65229
Wang, Bin; Wu, Xinyuan
4
2014
Efficient energy-preserving integrators for oscillatory Hamiltonian systems. Zbl 1291.65363
Wu, Xinyuan; Wang, Bin; Shi, Wei
42
2013
Structure-preserving algorithms for oscillatory differential equations. Zbl 1276.65041
Wu, Xinyuan; You, Xiong; Wang, Bin
36
2013
A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems. Zbl 1349.65219
Wang, Bin; Liu, Kai; Wu, Xinyuan
24
2013
An extended discrete gradient formula for oscillatory Hamiltonian systems. Zbl 1387.65129
Liu, Kai; Shi, Wei; Wu, Xinyuan
14
2013
Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation. Zbl 1305.65169
Wang, Bin; Wu, Xinyuan; Zhao, Hua
13
2013
Adapted Falkner-type methods solving oscillatory second-order differential equations. Zbl 1267.65088
Li, Jiyong; Wu, Xinyuan
13
2013
ERKN methods for long-term integration of multidimensional orbital problems. Zbl 1349.65233
Wu, Xinyuan; Wang, Bin; Liu, Kai; Zhao, Hua
11
2013
Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations. Zbl 1302.65166
Wang, Bin; Wu, Xinyuan; Xia, Jianlin
10
2013
Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix. Zbl 1426.65204
Wu, Xinyuan; Wang, Bin; Shi, Wei
7
2013
A note on symplectic and symmetric ARKN methods. Zbl 1349.65218
Shi, Wei; Wu, Xinyuan
4
2013
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
43
2012
A new high precision energy-preserving integrator for system of oscillatory second-order differential equations. Zbl 1255.70013
Wang, Bin; Wu, Xinyuan
36
2012
Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations. Zbl 1284.65186
Shi, Wei; Wu, Xinyuan; Xia, Jianlin
19
2012
A note on stability of multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems. Zbl 1349.65232
Wu, Xinyuan
13
2012
On symplectic and symmetric ARKN methods. Zbl 1356.65243
Shi, Wei; Wu, Xinyuan
10
2012
On extended RKN integrators for multidimensional perturbed oscillators with applications. Zbl 1243.65088
Wu, Xinyuan; Wang, Bin; Shi, Wei; You, Xiong
1
2012
Two-step extended RKN methods for oscillatory systems. Zbl 1261.65078
Li, Jiyong; Wang, Bin; You, Xiong; Wu, Xinyuan
29
2011
A new iterative refinement with roundoff error analysis. Zbl 1249.65058
Wu, Xinyuan; Wang, Zhengyu
1
2011
ERKN integrators for systems of oscillatory second-order differential equations. Zbl 1217.65141
Wu, Xinyuan; You, Xiong; Shi, Wei; Wang, Bin
62
2010
Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems. Zbl 1217.65140
Wu, Xinyuan; Wang, Bin
30
2010
Comments on “Embedded pair of extended Runge-Kutta-Nyström type methods for perturbed oscillators”. Zbl 1201.65127
Wu, Xinyuan; Wang, Bin
3
2010
Extended RKN-type methods with minimal dispersion error for perturbed oscillators. Zbl 1208.65096
Fang, Yonglei; Ming, Qinghe; Wu, Xinyuan
2
2010
Extended version with the analysis of dynamic system for iterative refinement of solution. Zbl 1192.65046
Wu, Xinyuan; You, Xiong
2
2010
Extended RKN methods with FSAL property for oscillatory systems. Zbl 1215.65123
Fang, Yonglei; Li, Qinghong; Wu, Xinyuan
1
2010
Order conditions for ARKN methods solving oscillatory systems. Zbl 1197.65084
Wu, Xinyuan; You, Xiong; Xia, Jianlin
54
2009
Extended RKN-type methods for numerical integration of perturbed oscillators. Zbl 1197.65088
Yang, Hongli; Wu, Xinyuan; You, Xiong; Fang, Yonglei
48
2009
A robust trigonometrically fitted embedded pair for perturbed oscillators. Zbl 1168.65362
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
20
2009
A semi-local convergence theorem for a robust revised Newton’s method. Zbl 1189.65096
Wang, Zhengyu; Wu, Xinyuan
2
2009
Piecewise integration of differential variational inequality. Zbl 1182.65102
Wang, Zhengyu; Wu, Xinyuan
1
2009
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
60
2008
Trigonometrically-fitted ARKN methods for perturbed oscillators. Zbl 1153.65073
Yang, Hongli; Wu, Xinyuan
29
2008
Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies. Zbl 1197.65085
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
10
2008
New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems. Zbl 1225.65072
Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan
4
2008
A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems. Zbl 1344.65060
Fang, Yonglei; Wu, Xinyuan
82
2007
A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators. Zbl 1121.65332
Fang, Yonglei; Wu, Xinyuan
18
2007
Note on the improvement of Newton’s method for system of nonlinear equations. Zbl 1243.65058
Wu, Xinyuan
9
2007
A two-step explicit \(P\)-stable method of high phase-lag order for linear periodic IVPs. Zbl 1111.65068
Li, Qinghong; Wu, Xinyuan
4
2007
Wilkinson’s iterative refinement of solution with automatic step-size control for linear system of equations. Zbl 1193.65033
Wu, Xinyuan; Fang, Yonglei
4
2007
A note on computational algorithm for the inverse of a square matrix. Zbl 1121.65027
Wu, Xinyuan
4
2007
Newton-like method with some remarks. Zbl 1121.65053
Wu, Xinyuan
2
2007
Order conditions for integrators and mappings with applications. Zbl 1128.65059
Wu, Xinyuan
1
2007
Extended Runge-Kutta-like formulae. Zbl 1104.65075
Wu, Xinyuan; Xia, Jianlin
10
2006
An effective predictor-corrector process for large scale linear system of equations. Zbl 1105.65032
Wu, Xinyuan
5
2006
...and 30 more Documents
all top 5

Cited by 630 Authors

103 Wu, Xinyuan
80 Simos, Theodore E.
45 Wang, Bin
33 You, Xiong
32 Fang, Yonglei
25 Li, Jiyong
23 Alolyan, Ibraheem
21 Shi, Wei
17 Liu, Changying
14 Jator, Samuel N.
14 Liu, Kai
13 Lin, Chialiang
13 Wang, Yushun
12 Ramos, Higinio
12 Xia, Jianlin
11 Medvedev, Maxim A.
10 Chun, Changbum
10 Mei, Lijie
9 Cai, Wenjun
9 Jiang, Chaolong
9 Li, Qinghong
9 Yang, Hongli
8 Ehigie, Julius Osato
8 Okunuga, Solomon A.
7 Medvedeva, Marina A.
7 Song, Yongzhong
7 Yang, Yanping
6 Brugnano, Luigi
6 Kanwar, Vinay
6 Li, Ting
6 Ma, Changfeng
6 Rández, Luis
6 Wang, Xianfen
6 Xu, Zhuangzhi
5 Cai, Jiaxiang
5 Chen, Jinhai
5 Chen, Zhaoxia
5 Deng, Shuo
5 Franco, J. Méndez
5 Iavernaro, Felice
5 Kou, Jisheng
5 Liu, Zhongli
5 Ming, Qinghe
5 Qian, Xu
5 Senu, Norazak
5 Song, Songhe
5 Tang, Xiao-Bin
5 Tian, Hongjiong
5 Vigo-Aguiar, Jesus
5 Wang, Xiang
5 Zeng, Xianyang
4 Abdulganiy, Ridwanulahi Iyanda
4 Ahmad, Fayyaz
4 Berg, Dmitry B.
4 Ebadi, Moosa
4 Fu, Yayun
4 Gong, Yuezheng
4 Huang, Li
4 Li, Chengliang
4 Li, Yitian
4 Liang, Dong
4 Meng, Fanwei
4 Wang, Haijun
4 Yun, Beong In
4 Zhang, Ruqiang
4 Zhao, Longbin
4 Zheng, Juan
3 Bhatia, Saurabh
3 Cui, Jin
3 D’Ambrosio, Raffaele
3 Feng, Xinlong
3 Fu, Ting
3 Gokhale, Mukund Y.
3 Hou, Xilin
3 Hu, Dongdong
3 Huang, Chengming
3 Ibrahim, Zarina Bibi Binti
3 Iserles, Arieh
3 Ismail, Fudziah Bt.
3 Khalsaraei, Mohammad Mehdizadeh
3 Khojasteh Salkuyeh, Davod
3 Li, Dongfang
3 Li, Weiguo
3 Li, Yu
3 Liu, Shiwei
3 Montijano, Juan Ignacio
3 Ngwane, Fidele F.
3 Niu, Jing
3 Singh, Arvind Kumar
3 Singh, Gurjinder
3 Singh, Manoj Kumar
3 Tang, Wensheng
3 Ullah, Malik Zaka
3 Wang, Xiuhua
3 Wang, Zenggui
3 Wu, Yajun
3 Xu, Yang
3 Yang, Jie
3 Zhao, Jingjun
2 Ahmad, Rokiah Rozita
...and 530 more Authors
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Cited in 103 Serials

97 Applied Mathematics and Computation
87 Journal of Mathematical Chemistry
40 Numerical Algorithms
39 Applied Numerical Mathematics
33 Journal of Computational and Applied Mathematics
26 International Journal of Computer Mathematics
24 Journal of Computational Physics
23 Applied Mathematics Letters
17 Computers & Mathematics with Applications
14 Computer Physics Communications
11 Journal of Scientific Computing
10 Calcolo
10 Mathematical Problems in Engineering
9 Computational and Applied Mathematics
8 Applied Mathematical Modelling
7 SIAM Journal on Scientific Computing
7 Journal of Applied Mathematics and Computing
6 BIT
6 Mathematics and Computers in Simulation
6 Algorithms
6 International Journal of Applied and Computational Mathematics
5 Advances in Computational Mathematics
5 Advances in Difference Equations
5 Afrika Matematika
4 Journal of the Nigerian Mathematical Society
4 Discrete and Continuous Dynamical Systems. Series B
4 S\(\vec{\text{e}}\)MA Journal
4 Journal of Applied Analysis and Computation
3 Journal of Mathematical Analysis and Applications
3 Numerical Methods for Partial Differential Equations
3 Japan Journal of Industrial and Applied Mathematics
3 Linear Algebra and its Applications
3 Abstract and Applied Analysis
3 Discrete Dynamics in Nature and Society
3 Journal of Applied Mathematics
3 Mediterranean Journal of Mathematics
2 Journal of Mathematical Physics
2 Fuzzy Sets and Systems
2 Numerische Mathematik
2 Journal of Computational Mathematics
2 Filomat
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Industrial and Management Optimization
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Computational & Mathematical Methods in Medicine
2 Numerical Mathematics: Theory, Methods and Applications
2 International Journal of Differential Equations
2 Advances in Applied Mathematics and Mechanics
2 Arabian Journal of Mathematics
2 Cogent Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Physica A
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Demonstratio Mathematica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 COMPEL
1 Mathematical and Computer Modelling
1 Computational Statistics
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Archives of Control Sciences
1 Applicationes Mathematicae
1 Numerical Linear Algebra with Applications
1 ETNA. Electronic Transactions on Numerical Analysis
1 Complexity
1 ELA. The Electronic Journal of Linear Algebra
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 RAIRO. Operations Research
1 Qualitative Theory of Dynamical Systems
1 International Journal of Modern Physics C
1 Foundations of Computational Mathematics
1 Advanced Nonlinear Studies
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 International Journal of Computational Methods
1 Boundary Value Problems
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Fixed Point Theory and Applications
1 Communications in Computational Physics
1 European Journal of Pure and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 ACM Communications in Computer Algebra
1 Science China. Mathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Axioms
1 Mathematical Sciences
1 Journal of Mathematics
1 Journal of Linear and Topological Algebra
1 AMM. Applied Mathematics and Mechanics. (English Edition)
...and 3 more Serials
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Cited in 36 Fields

578 Numerical analysis (65-XX)
148 Ordinary differential equations (34-XX)
96 Partial differential equations (35-XX)
47 Quantum theory (81-XX)
43 Dynamical systems and ergodic theory (37-XX)
12 Biology and other natural sciences (92-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Operations research, mathematical programming (90-XX)
9 Optics, electromagnetic theory (78-XX)
7 Real functions (26-XX)
7 Probability theory and stochastic processes (60-XX)
7 Fluid mechanics (76-XX)
6 Approximations and expansions (41-XX)
6 Systems theory; control (93-XX)
5 Mechanics of particles and systems (70-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Information and communication theory, circuits (94-XX)
4 Functions of a complex variable (30-XX)
4 Integral equations (45-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operator theory (47-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Field theory and polynomials (12-XX)
2 Difference and functional equations (39-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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