Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.08.002 ◽

2021 ◽

Author(s):

Qi Hong ◽

Yuezheng Gong ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Order Structure ◽

High Order Structure ◽

Structure Preserving

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Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

SIAM Journal on Scientific Computing ◽

10.1137/20m133782x ◽

2021 ◽

Vol 43 (1) ◽

pp. A472-A510

Author(s):

Kailiang Wu ◽

Yulong Xing

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Order Structure ◽

Galerkin Methods ◽

High Order Structure ◽

Structure Preserving

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A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.10.007 ◽

2021 ◽

Vol 102 ◽

pp. 45-53

Author(s):

Paul Castillo ◽

Sergio Gómez

Keyword(s):

Order Structure ◽

Galerkin Methods ◽

High Order Structure ◽

Unified Framework ◽

Structure Preserving ◽

B Splines ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems

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High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.12.025 ◽

2020 ◽

Author(s):

Yayun Fu ◽

Dongdong Hu ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Order Structure ◽

High Order Structure ◽

Structure Preserving ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.11.011 ◽

2018 ◽

Vol 59 ◽

pp. 122-131 ◽

Author(s):

Jiaxiang Cai ◽

Hua Liang ◽

Chun Zhang

Keyword(s):

Power Law ◽

Type Equation ◽

Order Structure ◽

High Order Structure ◽

Structure Preserving

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Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1940978 ◽

2021 ◽

pp. 1-28

Author(s):

Yayun Fu ◽

Yanhua Shi ◽

Yanmin Zhao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Order Structure ◽

Two Dimensional ◽

High Order Structure ◽

Structure Preserving ◽

Fractional Nonlinear Schrödinger Equation

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Arbitrarily high-order structure-preserving schemes for the Gross–Pitaevskii equation with angular momentum rotation

Computer Physics Communications ◽

10.1016/j.cpc.2020.107767 ◽

2021 ◽

Vol 261 ◽

pp. 107767

Author(s):

Jin Cui ◽

Yushun Wang ◽

Chaolong Jiang

Keyword(s):

Angular Momentum ◽

Order Structure ◽

Pitaevskii Equation ◽

High Order Structure ◽

Structure Preserving

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Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106273 ◽

2020 ◽

Vol 104 ◽

pp. 106273 ◽

Author(s):

Xin Li ◽

Yuezheng Gong ◽

Luming Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Order Structure ◽

High Order Structure ◽

Structure Preserving ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Positively Charged Surface Induces Discontinuous Transition for the High Order Structure in Duplex DNA

Biochemical and Biophysical Research Communications ◽

10.1006/bbrc.1995.2390 ◽

1995 ◽

Vol 214 (3) ◽

pp. 1040-1044 ◽

Author(s):

Y.S. Melnikova ◽

N. Kumazawa ◽

K. Yoshikawa

Keyword(s):

Order Structure ◽

Charged Surface ◽

High Order Structure ◽

Discontinuous Transition ◽

Positively Charged

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Application of digital image analysis to the study of high‐order structure of polymers

Journal of Applied Physics ◽

10.1063/1.336627 ◽

1986 ◽

Vol 59 (2) ◽

pp. 653-655 ◽

Author(s):

Hajime Tanaka ◽

Takafumi Hayashi ◽

Toshio Nishi

Keyword(s):

Image Analysis ◽

Digital Image ◽

Digital Image Analysis ◽

Order Structure ◽

High Order Structure

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Scaling of high-order structure functions in magnetohydrodynamic turbulence

Physics Letters A ◽

10.1016/0375-9601(94)90038-8 ◽

1994 ◽

Vol 195 (5-6) ◽

pp. 335-338 ◽

Author(s):

R. Grauer ◽

J. Krug ◽

C. Marliani

Keyword(s):

Structure Functions ◽

Order Structure ◽

High Order Structure ◽

Magnetohydrodynamic Turbulence

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