Xinyuan Wu

发表

Iterative refinement of computing inverse matrix

Jun Wu, Xinyuan Wu, Xinyuan Wu, 2009, Int. J. Comput. Math..

New iterative improvement of a solution for an Ill-conditioned system of linear equations based on a linear dynamic system

Xinyuan Wu, Rong Shao, Yiran Zhu, 2002 .

Quadratically convergent multiple roots finding method without derivatives

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2001 .

The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordon equations

Xinyuan Wu, Bin Wang, Bin Wang, 2018, IMA Journal of Numerical Analysis.

A new high precision energy-preserving integrator for system of oscillatory second-order differential equations

Xinyuan Wu, Bin Wang, Bin Wang, 2012 .

Exponential Fourier collocation methods for solving first-order differential equations

Xinyuan Wu, Bin Wang, F. Meng, 2016, 1608.06524.

Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

Xinyuan Wu, Changying Liu, 2020 .

Extended Leap-Frog Methods for Hamiltonian Wave Equations

Xinyuan Wu, Bin Wang, Xiong You, 2013 .

Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations

Xinyuan Wu, Bin Wang, 2018 .

Symplectic and Symmetric Multidimensional ERKN Methods

Xinyuan Wu, Bin Wang, Xiong You, 2013 .

Exponential Average-Vector-Field Integrator for Conservative or Dissipative Systems

Xinyuan Wu, Bin Wang, 2018 .

Arbitrary-order exponential energy-preserving collocation methods for solving conservative or dissipative systems

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2017 .

Efficient implementation of the ARKN and ERKN integrators for multi-frequency oscillatory systems with multiple time scales

Xinyuan Wu, Kai Liu, Wei Shi, 2020 .

Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

Xinyuan Wu, Jiyong Li, 2019, Applied Numerical Mathematics.

ERKN integrators solving multi-frequency highly oscillatory systems with applications

Xinyuan Wu, Bin Wang, 2018 .

Kernel functions‐based approach for distributed order diffusion equations

Xinyuan Wu, F. Geng, 2020, Numerical Methods for Partial Differential Equations.

Efficient Energy-Preserving Integrators for Multi-frequency Oscillatory Hamiltonian Systems

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

High-Order Symplectic and Symmetric Composition Integrators for Multi-frequency Oscillatory Hamiltonian Systems

Xinyuan Wu, Bin Wang, 2018 .

Highly Accurate Explicit Symplectic ERKN Methods for Multi-frequency Oscillatory Hamiltonian Systems

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

Long time conservations of two-step symmetric methods for charged-particle dynamics in a normal or strong magnetic field

Xinyuan Wu, Bin Wang, Yajun Wu, 2018 .

Symmetric and arbitrarily high-order time-stepping methods for solving nonlinear Klein–Gordon equations

A. Iserles, Xinyuan Wu, Changying Liu, 2016 .

Improved Filon-Type Asymptotic Methods for Highly Oscillatory Differential Equations

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

Effective Methods for Highly Oscillatory Second-Order Nonlinear Differential Equations

Xinyuan Wu, Bin Wang, Xiong You, 2013 .

AnEssential Extension of the Finite-Energy Condition for ExtendedRunge-Kutta-Nyström Integratorswhen Applied to Nonlinear Wave Equations

Xinyuan Wu, Changying Liu, Lijie Mei, 2017 .

An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems

Xinyuan Wu, Hongli Yang, Xianyang Zeng, 2017, Numerical Algorithms.

On zeros of polynomial and vector solutions of associated polynomial system from Vieta theorem

Xinyuan Wu, 2003 .

Exponential collocation methods for the cubic Schrödinger equation

Xinyuan Wu, Bin Wang, Bin Wang, 2018, 1802.02831.

A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems

Xinyuan Wu, Bin Wang, Bin Wang, 2017, BIT Numerical Mathematics.

Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation

Xinyuan Wu, Bin Wang, Bin Wang, 2020, Numerical Methods for Partial Differential Equations.

A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein–Gordon equations

Xinyuan Wu, Bin Wang, Bin Wang, 2019, Applied Numerical Mathematics.

The Construction of Arbitrary Order ERKN Integrators via Group Theory

Xinyuan Wu, Bin Wang, 2018 .

Numerical conservation of energy, momentum and actions for extended RKN methods when applied to nonlinear wave equations via spatial spectral semi-discretizations

Xinyuan Wu, Bin Wang, Bin Wang, 2018, 1805.06679.

An Essential Extension of the Finite-Energy Condition for ERKN Integrators Solving Nonlinear Wave Equations

Xinyuan Wu, Bin Wang, Bin Wang, 2018 .

Long-time analysis of extended RKN integrators for Hamiltonian systems with a solution-dependent high frequency

Xinyuan Wu, Bin Wang, Bin Wang, 2018, 1803.07861.

Trigonometric Collocation Methods for Multi-frequency and Multidimensional Oscillatory Systems

Xinyuan Wu, Bin Wang, Bin Wang, 2018 .

Long-time numerical energy conservation of extended RKN integrators for highly oscillatory Hamiltonian systems

Xinyuan Wu, Bin Wang, Bin Wang, 2017 .

Explicit multi-frequency symmetric extended RKN integrators for solving multi-frequency and multidimensional oscillatory reversible systems

Xinyuan Wu, Bin Wang, Bin Wang, 2014, Calcolo.

Matrix-Variation-of-Constants Formula

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

Error Bounds for Explicit ERKN Integrators for Multi-frequency Oscillatory Systems

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

Improved Störmer–Verlet Formulae with Applications

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems

A. Iserles, Xinyuan Wu, Kai Liu, 2015, Foundations of Computational Mathematics.

Energy-Preserving ERKN Methods

Xinyuan Wu, Bin Wang, Xiong You, 2013 .

A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems

Xinyuan Wu, Bin Wang, Kai Liu, 2013, J. Comput. Phys..

An Integral Formula Adapted to Different Boundary Conditions for Arbitrarily High-Dimensional Nonlinear Klein–Gordon Equations

Xinyuan Wu, Bin Wang, 2018 .

An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations with its applications

Xinyuan Wu, Changying Liu, 2016 .

On extended RKN integrators for multidimensional perturbed oscillators with applications

Xinyuan Wu, Bin Wang, Xiong You, 2012 .

An exponential approach to highly ill-conditioned linear systems

Xinyuan Wu, 2022, Appl. Math. Lett..

Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

Xinyuan Wu, Bin Wang, Lijie Mei, 2020, Numerical Algorithms.

Global error bounds of one-stage extended RKN integrators for semilinear wave equations

Xinyuan Wu, Bin Wang, Bin Wang, 2018, Numerical Algorithms.

Explicit multi-frequency symmetric extended RKN integrators for solving multi-frequency and multidimensional oscillatory reversible systems

Xinyuan Wu, Bin Wang, Bin Wang, 2014, Calcolo.

Runge–Kutta (–Nyström) Methods for Oscillatory Differential Equations

Xinyuan Wu, Bin Wang, Xiong You, 2013 .

A sixth-order A-stable explicit one-step method for stiff systems

Xinyuan Wu, Xinyuan Wu, 1998 .

Linearly-Fitted Conservative (Dissipative) Schemes for Nonlinear Wave Equations

Xinyuan Wu, Bin Wang, Bin Wang, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

An Extended Discrete Gradient Formula for Multi-frequency Oscillatory Hamiltonian Systems

Xinyuan Wu, Kai Liu, Wei Shi, 2015 .

An extended discrete gradient formula for oscillatory Hamiltonian systems

Xinyuan Wu, Kai Liu, Wei Shi, 2013 .

Structure-Preserving Algorithms for Oscillatory Differential Equations

Xinyuan Wu, Xiong You, Bin Wang, 2013 .

A note on stability of multidimensional adapted Runge–Kutta–Nyström methods for oscillatory systems☆

Xinyuan Wu, Xinyuan Wu, 2012 .

Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems

Bin Wang, Xinyuan Wu, Bin Wang, 2010, Comput. Phys. Commun..

ERKN integrators for systems of oscillatory second-order differential equations

Bin Wang, Wei Shi, Xinyuan Wu, 2010, Comput. Phys. Commun..

A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators

Xinyuan Wu, Yonglei Fang, Xinyuan Wu, 2007 .

Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations

Changying Liu, Xinyuan Wu, Xinyuan Wu, 2017, J. Comput. Phys..

Point monotonicity of maps and its applications in numerical computation

Xinyuan Wu, Liangsheng Luo, Xinyuan Wu, 2004, Appl. Math. Comput..

High-Order Symmetric Hermite–Birkhoff Time Integrators for Semilinear KG Equations

Xinyuan Wu, Bin Wang, Bin Wang, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations

Changying Liu, Arieh Iserles, Xinyuan Wu, 2018, J. Comput. Phys..

Improved Filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales

Bin Wang, Xinyuan Wu, Bin Wang, 2014, J. Comput. Phys..

Efficient energy-preserving integrators for oscillatory Hamiltonian systems

Bin Wang, Wei Shi, Xinyuan Wu, 2013, J. Comput. Phys..

A note on Wilkinson's iterative refinement of solution with automatic step-size control

Xinyuan Wu, Xiaoxuan Wu, Xinyuan Wu, 2011, Int. J. Comput. Math..

A new iterative refinement with roundoff error analysis

Xinyuan Wu, Zhengyu Wang, Xinyuan Wu, 2011, Numer. Linear Algebra Appl..

Extended version with the analysis of dynamic system for iterative refinement of solution

Xinyuan Wu, Xiong You, Xinyuan Wu, 2010, Int. J. Comput. Math..

Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations

Xinyuan Wu, Yonglei Fang, Xinyuan Wu, 2007, Appl. Math. Comput..

Note on predictor-corrector process for ill-conditioned linear system of equations

Xinyuan Wu, Xinyuan Wu, 2006, Appl. Math. Comput..

An effective predictor-corrector process for large scale linear system of equations

Xinyuan Wu, Xinyuan Wu, 2006, Appl. Math. Comput..

Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations

Xinyuan Wu, Rong Shao, Guo-he Xue, 2002, Appl. Math. Comput..

Exponential collocation methods for conservative or dissipative systems

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2017, J. Comput. Appl. Math..

Error analysis of explicit TSERKN methods for highly oscillatory systems

Xinyuan Wu, Jiyong Li, 2014, Numerical Algorithms.

New embedded pairs of explicit Runge–Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems

Xinyuan Wu, Yongzhong Song, Yonglei Fang, 2008 .

An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

Xinyuan Wu, Changying Liu, Lijie Mei, 2017 .

Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

A Compact Tri-Colored Tree Theory for General ERKN Methods

Xinyuan Wu, Bin Wang, Xinyuan Wu, 2018 .

Two-step extended RKN methods for oscillatory systems

Bin Wang, Xinyuan Wu, Xiong You, 2011, Comput. Phys. Commun..

Order conditions for ARKN methods solving oscillatory systems

Jianlin Xia, Xinyuan Wu, Xiong You, 2009, Comput. Phys. Commun..

Extended RKN-type methods for numerical integration of perturbed oscillators

Xinyuan Wu, Yonglei Fang, Xiong You, 2009, Comput. Phys. Commun..

Note on derivation of order conditions for ARKN methods for perturbed oscillators

Xinyuan Wu, Xiong You, Jiyong Li, 2009, Comput. Phys. Commun..

Adapted Falkner-type methods solving oscillatory second-order differential equations

Xinyuan Wu, Jiyong Li, Xinyuan Wu, 2013, Numerical Algorithms.

Functionally-fitted energy-preserving integrators for Poisson systems

Bin Wang, Xinyuan Wu, Bin Wang, 2017, J. Comput. Phys..

Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2018, Advances in Computational Mathematics.

Long-Time Momentum and Actions Behaviour of Energy-Preserving Methods for Wave Equations

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

Continuous-Stage Leap-Frog Schemes for Semilinear Hamiltonian Wave Equations

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

Two low accuracy methods for stiff systems

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2001, Appl. Math. Comput..

Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems

Bin Wang, Xinyuan Wu, Arieh Iserles, 2016, Found. Comput. Math..

Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2021 .

On Existence and Uniqueness Results for Nonsmooth Implicit Differential Equations

Xinyuan Wu, Yonglei Fang, Hongli Yang, 2008 .

Reproducing kernel functions based univariate spline interpolation

Fazhan Geng, Xinyuan Wu, Xinyuan Wu, 2021, Appl. Math. Lett..

A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems

Bin Wang, Xinyuan Wu, 2014, Numerical Algorithms.

Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations

Jianlin Xia, Wei Shi, Xinyuan Wu, 2012, J. Comput. Phys..

Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

Xinyuan Wu, Bin Wang, Lijie Mei, 2020, Numerical Algorithms.

Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques

Li Huang, Xinyuan Wu, Lijie Mei, 2019, Comput. Phys. Commun..

The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two

Wei Shi, Xinyuan Wu, Jiyong Li, 2019, J. Comput. Appl. Math..

Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems

Xinyuan Wu, Wei Shi, 2018, Numerical Algorithms.

An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations

Changying Liu, Xinyuan Wu, Wei Shi, 2014, Appl. Math. Comput..

A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems

Xinyuan Wu, Hongli Yang, Xianyang Zeng, 2014, Comput. Phys. Commun..

Multidimensional ARKN methods for general oscillatory second-order initial value problems

Kai Liu, Xinyuan Wu, Xinyuan Wu, 2014, Comput. Phys. Commun..

Order conditions for RKN methods solving general second-order oscillatory systems

Xinyuan Wu, Jinxi Zhao, Yonglei Fang, 2014, Numerical Algorithms.

Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

Jianlin Xia, Xinyuan Wu, Bin Wang, 2013 .

Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix☆

Bin Wang, Xinyuan Wu, Wei Shi, 2013 .

ERKN methods for long-term integration of multidimensional orbital problems

Bin Wang, Xinyuan Wu, Kai Liu, 2013 .

Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation

Bin Wang, Hua Zhao, Xinyuan Wu, 2013, Math. Comput. Model..

On symplectic and symmetric ARKN methods

Wei Shi, Xinyuan Wu, Xinyuan Wu, 2012, Comput. Phys. Commun..

Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

Jianlin Xia, Xinyuan Wu, Bin Wang, 2012 .

Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

Xinyuan Wu, J. Xia, Bin Wang, 2012, BIT Numerical Mathematics.

On Multidimensional ARKN methods for Systems of Perturbed Oscillators

Xinyuan Wu, Xiong You, 2009 .

A robust trigonometrically fitted embedded pair for perturbed oscillators

Xinyuan Wu, Yongzhong Song, Yonglei Fang, 2009 .

RKN Methods Based on Exact Flows of Both Internal Stages and Update for Solving Perturbed Oscillators

Xinyuan Wu, Yonglei Fang, Hongli Yang, 2008 .

Trigonometrically-fitted ARKN methods for perturbed oscillators

Xinyuan Wu, Hongli Yang, Xinyuan Wu, 2008 .

Oscillation-Preserving Integrators for Highly Oscillatory Systems of Second-Order ODEs

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2021, Geometric Integrators for Differential Equations with Highly Oscillatory Solutions.

Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems

Kai Liu, Wei Shi, Xinyuan Wu, 2017, Numerical Algorithms.

Adapted Falkner-Type Methods

Xinyuan Wu, Xiong You, Bin Wang, 2013 .

Note on the improvement of Newton's method for system of nonlinear equations

Xinyuan Wu, Xinyuan Wu, 2007, Appl. Math. Comput..

Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems pdf

Xinyuan Wu, Yu-Wen Li, Xinyuan Wu, 2016, SIAM J. Numer. Anal..

Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems pdf

Xinyuan Wu, Yu-Wen Li, Xinyuan Wu, 2016, SIAM J. Sci. Comput..

On energy conservation and P-stability☆

Xinyuan Wu, Xiong You, Qinghong Li, 2009 .

A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field

Xinyuan Wu, Yonglei Fang, Bin Wang, 2018, Calcolo.

Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems

Bin Wang, Xinyuan Wu, Xinyuan Wu, 2018, Journal of Computational Mathematics.

Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

Bin Wang, Xinyuan Wu, Fanwei Meng, 2016, J. Comput. Appl. Math..

Energy-Preserving Continuous-Stage Exponential Runge-Kutta Integrators for Efficiently Solving Hamiltonian Systems

Xinyuan Wu, Li Huang, Lijie Mei, 2022, SIAM J. Sci. Comput..

A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems

Xinyuan Wu, Li Huang, Lijie Mei, 2021, Journal of Computational Physics.

A new continuation Newton-like method and its deformation

Xinyuan Wu, Xinyuan Wu, 2000, Appl. Math. Comput..

Improved Muller method and Bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations

Xinyuan Wu, Xinyuan Wu, 2005, Appl. Math. Comput..

Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems

Xinyuan Wu, F. Geng, 2023, Calcolo.

New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions

Wei Shi, Xinyuan Wu, Changying Liu, 2018, Appl. Math. Comput..

An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions

Changying Liu, Xinyuan Wu, Kai Liu, 2017 .

The vector form of a sixth-order A-stable explicit one-step method for stiff problems

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2000 .

A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell's equations

Hongli Yang, Xinyuan Wu, Xianyang Zeng, 2021, Comput. Phys. Commun..

Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2006, Appl. Math. Comput..

An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations

Jianlin Xia, Xinyuan Wu, Zuhe Shen, 2003, Appl. Math. Comput..

Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems

Xinyuan Wu, Changying Liu, 2021, Calcolo.

Extended Runge-Kutta-like formulae

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2006 .

Two-step Runge-Kutta methods of order over five with reduced function evaluations

Xinyuan Wu, Xinyuan Wu, 2004, Appl. Math. Comput..

A class of Runge-Kutta formulae of order three and four with reduced evaluations of function

Xinyuan Wu, Xinyuan Wu, 2003, Appl. Math. Comput..

Exponential Fourier Collocation Methods for First-Order Differential Equations

Xinyuan Wu, Bin Wang, 2017 .

Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions

Lijie Mei, Xinyuan Wu, Li Huang, 2021, J. Comput. Phys..

Piecewise Integration of Differential Variational Inequality

Xinyuan Wu, Zhengyu Wang, 2009 .

Error analysis of a new transformation for multiple zeros finding free from derivative evaluations

Jianlin Xia, Xinyuan Wu, Xinyuan Wu, 2003 .