Kai Liu

Orcid: 0009-0006-2111-2433

Affiliations:
  • Nanjing University of Finance and Economics, College of Applied Mathematics, Nanjing, China


According to our database1, Kai Liu authored at least 19 papers between 2013 and 2026.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2026
The Construction and Optimal Error Analysis of Explicit Energy-Preserving Methods for Charged Particle Dynamics Under Strong Magnetic Field.
J. Sci. Comput., January, 2026

Arbitrarily high-order conformal invariants-preserving integrator for damped Hamiltonian ODEs.
Appl. Math. Lett., 2026

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., 2026

A class of exponential time-stepping mass-momentum-energy-preserving schemes for Korteweg-de Vries equations.
Appl. Math. Comput., 2026

2025
A novel semi-analytical multiple invariants-preserving integrator for conservative PDEs.
CoRR, April, 2025

Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators.
Multiscale Model. Simul., 2025

Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems.
J. Comput. Appl. Math., 2025

2024
A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption.
J. Comput. Appl. Math., March, 2024

Linearly-fitted energy-mass-preserving schemes for Korteweg-de Vries equations.
J. Comput. Appl. Math., 2024

A variant of the discrete gradient method for the solution of the semilinear wave equation under different boundary conditions.
Comput. Math. Appl., 2024

2023
Two high-order energy-preserving and symmetric Gauss collocation integrators for solving the hyperbolic Hamiltonian systems.
Math. Comput. Simul., 2023

2021
An integral evolution formula of boundary value problem for wave equations.
Appl. Math. Lett., 2021

2020
A new SOR-type iteration method for solving linear systems.
Appl. Math. Lett., 2020

2018
Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems.
Numer. Algorithms, 2018

High-order skew-symmetric differentiation matrix on symmetric grid.
J. Comput. Appl. Math., 2018

A new analytical formula for the wave equations with variable coefficients.
Appl. Math. Lett., 2018

The Cauchy problem for linear inhomogeneous wave equations with variable coefficients.
Appl. Math. Lett., 2018

2014
Multidimensional ARKN methods for general oscillatory second-order initial value problems.
Comput. Phys. Commun., 2014

2013
A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems.
J. Comput. Phys., 2013


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