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Yushun Wang

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A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

Journal Article

A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 3 : pp. 786–813

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Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

Journal Article

Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 5 : pp. 1233–1255

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An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

Journal Article

An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 203–231

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A Note on the Generating Function Method

Journal Article

A Note on the Generating Function Method

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 982–1004

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A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

Journal Article

A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 1 : pp. 242–260

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A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

Journal Article

A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 5 : pp. 1069–1089

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Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

Journal Article

Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1206–1224

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Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

Journal Article

Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

Communications in Computational Physics, Vol. 27 (2020), Iss. 3 : pp. 828–860

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Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

Journal Article

Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 395–414

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A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach

Journal Article

A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 5 : pp. 797–816

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The Structure-Preserving Methods for the Degasperis-Procesi Equation

Journal Article

The Structure-Preserving Methods for the Degasperis-Procesi Equation

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 475–487

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The Structure-Preserving Methods for the Degasperis-Procesi Equation

Journal Article

The Structure-Preserving Methods for the Degasperis-Procesi Equation

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 475–487

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