Fourier Spectral Methods for Nonlocal Models

Bacim Alali; Nathan Albin

doi:10.1007/s42102-020-00030-1

Fourier Spectral Methods for Nonlocal Models

Journal of Peridynamics and Nonlocal Modeling ◽

10.1007/s42102-020-00030-1 ◽

2020 ◽

Vol 2 (3) ◽

pp. 317-335

Author(s):

Bacim Alali ◽

Nathan Albin

Keyword(s):

Spectral Methods ◽

Nonlocal Models ◽

Fourier Spectral Methods

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Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a Degree-Increasing Spectral Homotopy [DISH]

Journal of Scientific Computing ◽

10.1007/s10915-016-0229-2 ◽

2016 ◽

Vol 69 (3) ◽

pp. 1115-1143 ◽

Cited By ~ 2

Author(s):

John P. Boyd

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Spectral Methods ◽

Multiple Solution ◽

Nonlinear Ordinary Differential Equations ◽

Fourier Spectral Methods

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Fourier spectral methods for phase field fracture modelling of CMCs

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/1361-651x/ab86c8 ◽

2020 ◽

Vol 28 (5) ◽

pp. 055004

Author(s):

B Pankowski

Keyword(s):

Phase Field ◽

Spectral Methods ◽

Fourier Spectral Methods

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On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0251-4 ◽

2016 ◽

Vol 70 (1) ◽

pp. 301-341 ◽

Cited By ~ 45

Author(s):

Dong Li ◽

Zhonghua Qiao

Keyword(s):

Spectral Methods ◽

Second Order ◽

Fourier Spectral Methods

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Fourier spectral methods for fractional-in-space reaction-diffusion equations

BIT Numerical Mathematics ◽

10.1007/s10543-014-0484-2 ◽

2014 ◽

Vol 54 (4) ◽

pp. 937-954 ◽

Cited By ~ 169

Author(s):

Alfonso Bueno-Orovio ◽

David Kay ◽

Kevin Burrage

Keyword(s):

Spectral Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fourier Spectral Methods

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Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities

Journal of Scientific Computing ◽

10.1007/s10915-015-0011-x ◽

2015 ◽

Vol 65 (3) ◽

pp. 1145-1165 ◽

Cited By ~ 2

Author(s):

Zheng Chen ◽

Chi-Wang Shu

Keyword(s):

Spectral Methods ◽

Piecewise Smooth ◽

Smooth Functions ◽

Exponential Accuracy ◽

Piecewise Smooth Functions ◽

Fourier Spectral Methods

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Fourier spectral methods for a class of generalized KdV-Burgers equations with variable coefficients

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.1887 ◽

1996 ◽

pp. 1887-1898

Keyword(s):

Spectral Methods ◽

Variable Coefficients ◽

Burgers Equations ◽

Fourier Spectral Methods

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Fourier Spectral Methods for Periodic Problems

Spectral Methods - Springer Series in Computational Mathematics ◽

10.1007/978-3-540-71041-7_2 ◽

2011 ◽

pp. 23-46

Author(s):

Jie Shen ◽

Tao Tang ◽

Li-Lian Wang

Keyword(s):

Spectral Methods ◽

Periodic Problems ◽

Fourier Spectral Methods

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Solving Phase-Field Models with Fourier Spectral Methods

Programming Phase-Field Modeling ◽

10.1007/978-3-319-41196-5_5 ◽

2017 ◽

pp. 99-168

Author(s):

S. Bulent Biner

Keyword(s):

Phase Field ◽

Spectral Methods ◽

Phase Field Models ◽

Fourier Spectral Methods

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Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.12.042 ◽

2016 ◽

Vol 71 (11) ◽

pp. 2257-2271 ◽

Cited By ~ 44

Author(s):

Siwei Duo ◽

Yanzhi Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Spectral Methods ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation ◽

Fourier Spectral Methods

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Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods

Journal of Computational Physics ◽

10.1016/j.jcp.2015.10.023 ◽

2016 ◽

Vol 304 ◽

pp. 252-274 ◽

Cited By ~ 33

Author(s):

David B. Stein ◽

Robert D. Guy ◽

Becca Thomases

Keyword(s):

Spectral Methods ◽

High Order ◽

Immersed Boundary ◽

Order Method ◽

High Order Method ◽

Smooth Extension ◽

Fourier Spectral Methods

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