2025
YOLO-Lite: Lightweight Object Detection Algorithm Design and Optimization in Power System Inspection.
Signal Image Video Process., September, 2025
The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems.
CoRR, April, 2025
Embodied artificial intelligence in ophthalmology.
npj Digit. Medicine, 2025
2024
Opinion Mining by Convolutional Neural Networks for Maximizing Discoverability of Nanomaterials.
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J. Chem. Inf. Model., 2024
Two new classes of exponential Runge-Kutta integrators for efficiently solving stiff systems or highly oscillatory problems.
Int. J. Comput. Math., 2024
FFA Sora, video generation as fundus fluorescein angiography simulator.
CoRR, 2024
The Impact of Autonomous Vehicles on Ride-Hailing Platforms with Strategic Human Drivers.
CoRR, 2024
Object detection in aerial images using DOTA dataset: A survey.
Int. J. Appl. Earth Obs. Geoinformation, 2024
Aerial IRS with Robotic Anchoring: Novel Adaptive Coverage Enhancement in 6G Networks.
Proceedings of the 35th IEEE International Symposium on Personal, 2024
2023
How Should the Server Sleep? - Age-Energy Tradeoff in Sleep-Wake Server Systems.
IEEE Trans. Green Commun. Netw., December, 2023
A Data Mining-Based Approach to Managing Intercultural Teaching Activities in Online Classrooms.
Int. J. Emerg. Technol. Learn., November, 2023
An exponential approach to highly ill-conditioned linear systems.
Appl. Math. Lett., June, 2023
Aerial IRS with Robotic Anchoring Capabilities: A Novel Way for Adaptive Coverage Enhancement.
CoRR, 2023
Adaptive Control Strategy for Quadruped Robots in Actuator Degradation Scenarios.
Proceedings of the Fifth International Conference on Distributed Artificial Intelligence, 2023
Analysis of Wordle Model Based on Machine Learning.
Proceedings of the International Conference on Computers, 2023
2022
Energy-Preserving Continuous-Stage Exponential Runge-Kutta Integrators for Efficiently Solving Hamiltonian Systems.
SIAM J. Sci. Comput., 2022
A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems.
J. Comput. Phys., 2022
Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent high frequency.
J. Comput. Appl. Math., 2022
Balancing Age-Energy Tradeoff in Sleep-Wake Server Systems.
CoRR, 2022
2021
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs.
Numer. Algorithms, 2021
Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions.
J. Comput. Phys., 2021
A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell's equations.
Comput. Phys. Commun., 2021
Reproducing kernel functions based univariate spline interpolation.
Appl. Math. Lett., 2021
2019
Global error bounds of one-stage extended RKN integrators for semilinear wave equations.
Numer. Algorithms, 2019
Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems.
Numer. Algorithms, 2019
Volume-preserving exponential integrators and their applications.
J. Comput. Phys., 2019
Exponential collocation methods for conservative or dissipative systems.
J. Comput. Appl. Math., 2019
The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two.
J. Comput. Appl. Math., 2019
Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques.
Comput. Phys. Commun., 2019
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations.
Adv. Comput. Math., 2019
2018
Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems.
Numer. Algorithms, 2018
Functionally-fitted energy-preserving integrators for Poisson systems.
J. Comput. Phys., 2018
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations.
J. Comput. Phys., 2018
New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions.
Appl. Math. Comput., 2018
2017
An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems.
Numer. Algorithms, 2017
Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.
J. Comput. Phys., 2017
Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations.
J. Comput. Phys., 2017
Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations.
J. Comput. Appl. Math., 2017
The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications.
Appl. Math. Lett., 2017
2016
Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems.
SIAM J. Sci. Comput., 2016
Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems.
SIAM J. Numer. Anal., 2016
The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications.
J. Comput. Phys., 2016
A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators.
J. Comput. Appl. Math., 2016
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems.
Found. Comput. Math., 2016
2015
General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs.
J. Comput. Phys., 2015
2014
Order conditions for RKN methods solving general second-order oscillatory systems.
Numer. Algorithms, 2014
A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems.
Numer. Algorithms, 2014
Error analysis of explicit TSERKN methods for highly oscillatory systems.
Numer. Algorithms, 2014
Improved Filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales.
J. Comput. Phys., 2014
A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems.
Comput. Phys. Commun., 2014
Multidimensional ARKN methods for general oscillatory second-order initial value problems.
Comput. Phys. Commun., 2014
An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations.
Appl. Math. Comput., 2014
2013
Adapted Falkner-type methods solving oscillatory second-order differential equations.
Numer. Algorithms, 2013
Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation.
Math. Comput. Model., 2013
Efficient energy-preserving integrators for oscillatory Hamiltonian systems.
J. Comput. Phys., 2013
A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems.
J. Comput. Phys., 2013
A note on symplectic and symmetric ARKN methods.
Comput. Phys. Commun., 2013
2012
Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations.
J. Comput. Phys., 2012
On symplectic and symmetric ARKN methods.
Comput. Phys. Commun., 2012
2011
A new iterative refinement with roundoff error analysis.
Numer. Linear Algebra Appl., 2011
A note on Wilkinson's iterative refinement of solution with automatic step-size control.
Int. J. Comput. Math., 2011
Two-step extended RKN methods for oscillatory systems.
Comput. Phys. Commun., 2011
2010
Extended version with the analysis of dynamic system for iterative refinement of solution.
Int. J. Comput. Math., 2010
ERKN integrators for systems of oscillatory second-order differential equations.
Comput. Phys. Commun., 2010
Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems.
Comput. Phys. Commun., 2010
Erratum to "Extended RKN-type methods for numerical integration of perturbed oscillators" [Computer Physics Communications 180 (2009) 1777-1794].
Comput. Phys. Commun., 2010
Extended RKN-type methods with minimal dispersion error for perturbed oscillators.
Comput. Phys. Commun., 2010
Extended RKN methods with FSAL property for oscillatory systems.
Comput. Phys. Commun., 2010
2009
Iterative refinement of computing inverse matrix.
Int. J. Comput. Math., 2009
Extended RKN-type methods for numerical integration of perturbed oscillators.
Comput. Phys. Commun., 2009
Order conditions for ARKN methods solving oscillatory systems.
Comput. Phys. Commun., 2009
Note on derivation of order conditions for ARKN methods for perturbed oscillators.
Comput. Phys. Commun., 2009
A semi-local convergence theorem for a robust revised Newton's method.
Comput. Math. Appl., 2009
2008
Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies.
Comput. Phys. Commun., 2008
2007
Study of general Taylor-like explicit methods in solving stiff ordinary differential equations.
Int. J. Comput. Math., 2007
Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations.
Appl. Math. Comput., 2007
Note on the improvement of Newton's method for system of nonlinear equations.
Appl. Math. Comput., 2007
Newton-like method with some remarks.
Appl. Math. Comput., 2007
A note on computational algorithm for the inverse of a square matrix.
Appl. Math. Comput., 2007
Error analysis for the predictor-corrector process relating to ill-conditioned linear system of equations.
Appl. Math. Comput., 2007
A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems.
Appl. Math. Comput., 2007
2006
Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros.
Appl. Math. Comput., 2006
Note on predictor-corrector process for ill-conditioned linear system of equations.
Appl. Math. Comput., 2006
An effective predictor-corrector process for large scale linear system of equations.
Appl. Math. Comput., 2006
The recursions of order conditions for some Runge-Kutta-like methods.
Appl. Math. Comput., 2006
2005
Improved Muller method and Bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations.
Appl. Math. Comput., 2005
Recursive algorithm without extra function evaluations for the Jacobian matrix of Viéta's polynomial system with applications.
Appl. Math. Comput., 2005
A class of two-step explicit methods for periodic IVPs.
Appl. Math. Comput., 2005
2004
Point monotonicity of maps and its applications in numerical computation.
Appl. Math. Comput., 2004
Two-step Runge-Kutta methods of order over five with reduced function evaluations.
Appl. Math. Comput., 2004
A two-step explicit P-stable method of high phase-lag order for second order IVPs.
Appl. Math. Comput., 2004
2003
A free-derivative iteration method of order three having convergence of both point and interval for nonlinear equations.
Appl. Math. Comput., 2003
New vector forms of elemental functions with Taylor series.
Appl. Math. Comput., 2003
An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations.
Appl. Math. Comput., 2003
A class of Runge-Kutta formulae of order three and four with reduced evaluations of function.
Appl. Math. Comput., 2003
A two-step explicit P-stable method for solving second order initial value problems.
Appl. Math. Comput., 2003
2002
Note on global convergence of ODE methods for unconstrained optimization.
Appl. Math. Comput., 2002
Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations.
Appl. Math. Comput., 2002
2001
Two low accuracy methods for stiff systems.
Appl. Math. Comput., 2001
2000
On a class of quadratic convergence iteration formulae without derivatives.
Appl. Math. Comput., 2000
A new continuation Newton-like method and its deformation.
Appl. Math. Comput., 2000