Kai Liu

19 papers Journal 19
YearRankTypeTitle / Venue / Authors
2026 J jnl
A class of exponential time-stepping mass-momentum-energy-preserving schemes for Korteweg-de Vries equations.
Appl. Math. Comput.
Wei Shi, Ting Fu, Kai Liu
2026 J jnl
Arbitrarily high-order conformal invariants-preserving integrator for damped Hamiltonian ODEs.
Appl. Math. Lett.
Kai Liu, Bowen Xue, Changying Liu
2026 J jnl
Corrigendum to "A class of exponential time-stepping mass-momentum-energy-preserving schemes for Korteweg-de Vries equations" [Applied Mathematics and Computation 508 (2026) 129620].
Appl. Math. Comput.
Wei Shi, Ting Fu, Kai Liu
2026 J jnl
The Construction and Optimal Error Analysis of Explicit Energy-Preserving Methods for Charged Particle Dynamics Under Strong Magnetic Field.
J. Sci. Comput.
Kai Liu, Bin Wang
2025 J jnl
A novel semi-analytical multiple invariants-preserving integrator for conservative PDEs.
CoRR
Wei Shi, Xun Lu, Kai Liu, Bin Wang
2025 J jnl
Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems.
J. Comput. Appl. Math.
Kai Liu, Bin Wang, Ting Fu
2025 J jnl
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators.
Multiscale Model. Simul.
Kai Liu, Bin Wang, Xiaofei Zhao
2024 J jnl
A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption.
J. Comput. Appl. Math.
Changying Liu, Kai Liu
2024 J jnl
A variant of the discrete gradient method for the solution of the semilinear wave equation under different boundary conditions.
Comput. Math. Appl.
Kai Liu, Mingqian Zhang, Xiong You
2024 J jnl
Linearly-fitted energy-mass-preserving schemes for Korteweg-de Vries equations.
J. Comput. Appl. Math.
Kai Liu, Ting Fu
2023 J jnl
Two high-order energy-preserving and symmetric Gauss collocation integrators for solving the hyperbolic Hamiltonian systems.
Math. Comput. Simul.
Changying Liu, Jiayin Li, Zhenqi Yang, Yumeng Tang, Kai Liu
2021 J jnl
An integral evolution formula of boundary value problem for wave equations.
Appl. Math. Lett.
Ting Fu, Mingqian Zhang, Kai Liu
2020 J jnl
A new SOR-type iteration method for solving linear systems.
Appl. Math. Lett.
Kai Liu, Jie Yang, Wei Shi
2018 J jnl
A new analytical formula for the wave equations with variable coefficients.
Appl. Math. Lett.
Wei Shi, Kai Liu
2018 J jnl
Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems.
Numer. Algorithms
Kai Liu, Xinyuan Wu, Wei Shi
2018 J jnl
High-order skew-symmetric differentiation matrix on symmetric grid.
J. Comput. Appl. Math.
Kai Liu, Wei Shi
2018 J jnl
The Cauchy problem for linear inhomogeneous wave equations with variable coefficients.
Appl. Math. Lett.
Kai Liu, Wei Shi
2014 J jnl
Multidimensional ARKN methods for general oscillatory second-order initial value problems.
Comput. Phys. Commun.
Kai Liu, Xinyuan Wu
2013 J jnl
A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems.
J. Comput. Phys.
Bin Wang, Kai Liu, Xinyuan Wu