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Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

Journal Article

Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 1 : pp. 159–181

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Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

Journal Article

Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 868–886

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Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

Journal Article

Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 964–989

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Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

Journal Article

Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 6 : pp. 1383–1403

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Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations

Journal Article

Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations

CSIAM Transactions on Applied Mathematics, Vol. 4 (2023), Iss. 1 : pp. 177–224

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Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations

Journal Article

Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations

East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 4 : pp. 935–959

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Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations

Journal Article

Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 912–927

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Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

Journal Article

Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 119–142

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Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods

Journal Article

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 643–662

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Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

Journal Article

Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 4 : pp. 993–1012

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Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

Journal Article

Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

Communications in Computational Physics, Vol. 35 (2024), Iss. 2 : pp. 498–523

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