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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

Journal of computational physics, 2017-01, Vol.328, p.354-370

2017

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Multisymplectic schemes for strongly coupled schrödinger system

Applied mathematics and computation, 2010-06, Vol.216 (8), p.2417-2429

Cai, Jiaxiang

2010

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Efficient invariant-preserving scheme for the N-coupled nonlinear Schrödinger equations

Applied mathematics letters, 2024-11, Vol.157, p.109166, Article 109166

Cai, Jiaxiang

2024

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Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation

Applied mathematics and computation, 2011-08, Vol.217 (24), p.9948-9955

Cai, Jiaxiang

2011

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A multisymplectic explicit scheme for the modified regularized long-wave equation

Journal of computational and applied mathematics, 2010-06, Vol.234 (3), p.899-905

Cai, Jiaxiang

2010

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Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs

Computational & applied mathematics, 2022-02, Vol.41 (1), Article 33

2022

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Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

Journal of computational physics, 2020-01, Vol.401, p.108975, Article 108975

2020

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Efficient dissipation-preserving scheme for the damped nonlinear Schrödinger equation in three dimensions

Applied mathematics letters, 2022-10, Vol.132, p.108129, Article 108129

Cai, Jiaxiang

2022

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Factorial design analytics on effects of material parameter uncertainties in multiphysics modeling of additive manufacturing

npj computational materials, 2023-04, Vol.9 (1), p.51-18, Article 51

2023

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A new explicit multisymplectic scheme for the regularized long-wave equation

Journal of mathematical physics, 2009-01, Vol.50 (1), p.013535-013535-16

Cai, Jiaxiang

2009

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Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions

Applied mathematics letters, 2020-04, Vol.102, p.106158, Article 106158

2020

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High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit

Applied mathematics letters, 2023-10, Vol.144, p.108703, Article 108703

2023

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Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

SIAM journal on scientific computing, 2022-06, Vol.44 (3), p.B585-B604

2022

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Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation

Applied numerical mathematics, 2023-01, Vol.183, p.173-185

2023

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Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations

Discrete and continuous dynamical systems. Series B, 2024-05

2024

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Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs

Journal of computational physics, 2014-12, Vol.279, p.80-102

2014

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Local structure-preserving algorithms for the “good” Boussinesq equation

Journal of computational physics, 2013-04, Vol.239, p.72-89

2013

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Decoupled local/global energy-preserving schemes for the N-coupled nonlinear Schrödinger equations

Journal of computational physics, 2018-12, Vol.374, p.281-299

2018

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Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs

Computer physics communications, 2019-02, Vol.235, p.210-220

2019

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Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system

Applied mathematics and computation, 2019-09, Vol.357, p.1-11

2019

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Multisymplectic Preissman scheme for the time-domain Maxwell’s equations

Journal of mathematical physics, 2009-03, Vol.50 (3), p.033510-033510-17

2009

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Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system

Journal of computational physics, 2013-04, Vol.239, p.30-50

2013

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Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger–Boussinesq system

Applied mathematics letters, 2019-05, Vol.91, p.76-82

2019

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An energy-conserving method for stochastic Maxwell equations with multiplicative noise

Journal of computational physics, 2017-12, Vol.351, p.216-229

2017

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Efficient local structure‐preserving schemes for the RLW‐type equation

Numerical methods for partial differential equations, 2017-09, Vol.33 (5), p.1678-1691

2017

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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

Multisymplectic schemes for strongly coupled schrödinger system

Efficient invariant-preserving scheme for the N-coupled nonlinear Schrödinger equations

Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation

A multisymplectic explicit scheme for the modified regularized long-wave equation

Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs

Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

Efficient dissipation-preserving scheme for the damped nonlinear Schrödinger equation in three dimensions

Factorial design analytics on effects of material parameter uncertainties in multiphysics modeling of additive manufacturing

A new explicit multisymplectic scheme for the regularized long-wave equation

Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions

High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit

Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation

Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations

Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs

Local structure-preserving algorithms for the “good” Boussinesq equation

Decoupled local/global energy-preserving schemes for the N-coupled nonlinear Schrödinger equations

Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs

Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system

Multisymplectic Preissman scheme for the time-domain Maxwell’s equations

Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system

Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger–Boussinesq system

An energy-conserving method for stochastic Maxwell equations with multiplicative noise

Efficient local structure‐preserving schemes for the RLW‐type equation

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