A second order operator splitting numerical scheme for the “good” Boussinesq equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.04.006 ◽

2017 ◽

Vol 119 ◽

pp. 179-193 ◽

Cited By ~ 11

Author(s):

Cheng Zhang ◽

Hui Wang ◽

Jingfang Huang ◽

Cheng Wang ◽

Xingye Yue

Keyword(s):

Numerical Scheme ◽

Boussinesq Equation ◽

Operator Splitting ◽

Second Order ◽

Order Operator

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A second order accuracy in time, Fourier pseudo-spectral numerical scheme for "Good" Boussinesq equation

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020089 ◽

2020 ◽

Vol 25 (9) ◽

pp. 3749-3768

Author(s):

Zeyu Xia ◽

◽

Xiaofeng Yang ◽

Keyword(s):

Numerical Scheme ◽

Boussinesq Equation ◽

Second Order ◽

Order Accuracy ◽

Pseudo Spectral

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A second order operator splitting method for Allen–Cahn type equations with nonlinear source terms

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2015.03.012 ◽

2015 ◽

Vol 432 ◽

pp. 24-34 ◽

Cited By ~ 18

Author(s):

Hyun Geun Lee ◽

June-Yub Lee

Keyword(s):

Operator Splitting ◽

Splitting Method ◽

Second Order ◽

Source Terms ◽

Order Operator ◽

Nonlinear Source ◽

Operator Splitting Method

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A second order numerical scheme for the solution of the one-dimensional Boussinesq equation

Numerical Algorithms ◽

10.1007/s11075-007-9126-y ◽

2007 ◽

Vol 46 (1) ◽

pp. 45-58 ◽

Cited By ~ 19

Author(s):

Athanassios G. Bratsos

Keyword(s):

Numerical Scheme ◽

Boussinesq Equation ◽

Second Order ◽

One Dimensional ◽

The One

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First and second order operator splitting methods for the phase field crystal equation

Journal of Computational Physics ◽

10.1016/j.jcp.2015.06.038 ◽

2015 ◽

Vol 299 ◽

pp. 82-91 ◽

Cited By ~ 19

Author(s):

Hyun Geun Lee ◽

Jaemin Shin ◽

June-Yub Lee

Keyword(s):

Phase Field ◽

Operator Splitting ◽

Second Order ◽

Splitting Methods ◽

Order Operator ◽

Operator Splitting Methods ◽

Phase Field Crystal

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A second order numerical scheme for the improved Boussinesq equation

Physics Letters A ◽

10.1016/j.physleta.2007.05.050 ◽

2007 ◽

Vol 370 (2) ◽

pp. 145-147 ◽

Cited By ~ 17

Author(s):

A.G. Bratsos

Keyword(s):

Numerical Scheme ◽

Boussinesq Equation ◽

Second Order

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A second-order operator splitting Fourier spectral method for fractional-in-space reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.007 ◽

2018 ◽

Vol 333 ◽

pp. 395-403 ◽

Cited By ~ 10

Author(s):

Hyun Geun Lee

Keyword(s):

Spectral Method ◽

Operator Splitting ◽

Reaction Diffusion ◽

Second Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Method ◽

Order Operator

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A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth

Journal of Scientific Computing ◽

10.1007/s10915-016-0340-4 ◽

2017 ◽

Vol 71 (3) ◽

pp. 1303-1318 ◽

Cited By ~ 2

Author(s):

Hyun Geun Lee ◽

Jaemin Shin ◽

June-Yub Lee

Keyword(s):

Thin Film ◽

Spectral Method ◽

Film Growth ◽

Operator Splitting ◽

Second Order ◽

Thin Film Growth ◽

Fourier Spectral Method ◽

Order Operator ◽

Epitaxial Thin Film ◽

Epitaxial Thin Film Growth

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Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113600 ◽

2021 ◽

Vol 375 ◽

pp. 113600

Author(s):

Xiaofeng Yang

Keyword(s):

Stokes Equation ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Navier Stokes ◽

Numerical Approximations ◽

Navier Stokes Equation ◽

Energy Stable ◽

Multi Phase

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An improved error analysis for a second-order numerical scheme for the Cahn–Hilliard equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113300 ◽

2021 ◽

Vol 388 ◽

pp. 113300

Author(s):

Jing Guo ◽

Cheng Wang ◽

Steven M. Wise ◽

Xingye Yue

Keyword(s):

Error Analysis ◽

Numerical Scheme ◽

Second Order ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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Infrared vibrational spectra and absolute intensities of fundamental bands of bis(trifluoromethyl)ketene: Ab initio interpretation using the second order operator Van Vleck perturbation theory

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2021.107952 ◽

2021 ◽

Vol 276 ◽

pp. 107952

Author(s):

Sergey V. Krasnoshchekov ◽

Vladimir B. Laptev ◽

Ivan K. Gainullin

Keyword(s):

Perturbation Theory ◽

Ab Initio ◽

Vibrational Spectra ◽

Second Order ◽

Order Operator ◽

Absolute Intensities ◽

Van Vleck

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