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07/08/2023
A novel high-order linearly implicit and energy-stable additive Runge-Kutta methods for gradient flow models
This paper introduces a novel paradigm for constructing linearly implici...
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05/31/2023
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods
The energy dissipation law and maximum bound principle are significant c...
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10/05/2022
Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations
In this work, two novel classes of structure-preserving spectral Galerki...
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09/16/2022
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
In this paper, we develop a novel class of linear energy-preserving inte...
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11/17/2020
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs
In this paper, we present a novel strategy to systematically construct l...
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09/15/2020
An explicit and practically invariants-preserving method for conservative systems
An explicit numerical strategy that practically preserves invariants is ...
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07/15/2020
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation
In this paper, a family of arbitrarily high-order structure-preserving e...
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04/23/2020
Two novel classes of energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
We develop two novel classes of energy-preserving algorithms for the sin...
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04/19/2020
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions
In this paper, we design a novel class of arbitrarily high-order structu...
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01/03/2020
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
A novel class of explicit high-order energy-preserving methods are propo...
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12/02/2019
A general symplectic integrator for canonical Hamiltonian systems
The focus of this paper is to recommend a novel symplectic scheme for ca...
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11/25/2019
Structure-preserving algorithms for multi-dimensional fractional Klein-Gordon-Schrödinger equation
This paper aims to construct structure-preserving numerical schemes for ...
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11/18/2019
A structure-preserving algorithm for the fractional nonlinear Schrödinger equation based on the SAV approach
The main objective of this paper is to present an efficient structure-pr...
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11/16/2019
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
This paper aims to develop a linearly implicit structure-preserving nume...
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10/15/2019
Optimal error estimate of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation
In this paper, we consider the error analysis of a conservative Fourier ...
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08/27/2019
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation
In this paper, we generalize the exponential energy-preserving integrato...
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06/29/2019
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
In this paper, we present a linearly implicit energy-preserving scheme f...
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06/18/2019
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
In this paper, we develop a novel class of arbitrarily high-order energy...
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02/20/2019