Search Results - "Wang, Yushun"
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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
Published in Journal of computational physics (01-01-2017)“…A Fourier pseudo-spectral method that conserves mass and energy is developed for a two-dimensional nonlinear Schrödinger equation. By establishing the…”
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A SIXTH ORDER AVERAGED VECTOR FIELD METHOD
Published in Journal of computational mathematics (01-09-2016)“…In this paper, based on the theory of rooted trees and B-series, we propose the concrete formulas of the substitution law for the trees of order = 5. With the…”
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LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KDV EQUATION
Published in Journal of computational mathematics (01-05-2017)“…In this paper, based on the concatenating method, we present a unified framework to construct a series of local structure-preserving algorithms for the…”
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A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs
Published in Journal of computational mathematics (01-01-2024)Get full text
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Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions
Published in Numerical algorithms (01-04-2024)“…In this paper, we intend to utilize the generalized scalar auxiliary variable (GSAV) approach proposed in recent paper (Ju et al., SIAM J. Numer. Anal., 60 (…”
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A Linearly Implicit Structure-Preserving Scheme for the Camassa–Holm Equation Based on Multiple Scalar Auxiliary Variables Approach
Published in Journal of scientific computing (01-04-2020)“…In this paper, we present a linearly implicit energy-preserving scheme for the Camassa–Holm equation by using the multiple scalar auxiliary variables approach,…”
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Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods
Published in Advances in computational mathematics (01-06-2024)“…The energy dissipation law and maximum bound principle are significant characteristics of the Allen-Chan equation. To preserve discrete counterpart of these…”
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HIGH ORDER COMPACT MULTISYMPLECTIC SCHEME FOR COUPLED NONLINEAR SCHRÖDINGER-KDV EQUATIONS
Published in Journal of computational mathematics (01-01-2018)“…In this paper, a novel multisymplectic scheme is proposed for the coupled nonlinear Schrödinger-KdV (CNLS-KdV) equations. The CNLS-KdV equations are rewritten…”
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Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-03-2017)“…We propose a novel stable and efficient dissipation-preserving method for acoustic wave propagations in attenuating media with both correct phase and…”
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A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions
Published in Advances in computational mathematics (01-04-2020)“…In this paper, we propose a linearly implicit Fourier pseudo-spectral scheme, which preserves the total mass and energy conservation laws for the damped…”
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Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation
Published in Acta mathematica scientia (01-05-2023)“…In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including…”
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The Structure-Preserving Methods for the Degasperis-Procesi Equation
Published in Journal of computational mathematics (01-01-2019)Get full text
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Efficient and accurate numerical methods for the multidimensional convection–diffusion equations
Published in Mathematics and computers in simulation (01-08-2019)“…A class of high order compact methods combined with local one-dimensional method have been studied to numerically solve multidimensional convection–diffusion…”
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User-Level Runtime Security Auditing for the Cloud
Published in IEEE transactions on information forensics and security (01-05-2018)“…Cloud computing is emerging as a promising IT solution for enabling ubiquitous, convenient, and on-demand accesses to a shared pool of configurable computing…”
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Large-scale cultural heritage conservation and utilization based on cultural ecology corridors: a case study of the Dongjiang-Hanjiang River Basin in Guangdong, China
Published in Heritage science (06-02-2024)“…In the field of world heritage conservation, there has been broad consensus on carrying out heritage conservation research on the basis of spatial integration…”
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Multi-Mode Active Suspension Control Based on a Genetic K-Means Clustering Linear Quadratic Algorithm
Published in Applied sciences (01-11-2021)“…The traditional Linear quadratic regulator (LQR) control algorithm depends too much on expert experience during the selection of weighting coefficients. To…”
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Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations
Published in Journal of computational physics (01-02-2013)“…In this paper, we study a multi-symplectic scheme for three dimensional Maxwell’s equations in a simple medium. This is a system of PDEs with multi-symplectic…”
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