Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations

Preconditioners for fractional diffusion equations based on the spectral symbol

(2022) Nikos Barakitis et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

An efficient second-order energy stable BDF scheme for the space fractional Cahn–Hilliard equation

(2021) Yong-Liang Zhao et al.   BIT NUMERICAL MATHEMATICS

Fast image inpainting strategy based on the space-fractional modified Cahn-Hilliard equations

(2021) Min Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations

(2020) Xin Huang et al.   LINEAR & MULTILINEAR ALGEBRA

Energy stable numerical schemes for the fractional-in-space Cahn–Hilliard equation

(2020) Linlin Bu et al.   APPLIED NUMERICAL MATHEMATICS

On Riesz derivative

(2019) Min Cai et al.   Fractional Calculus and Applied Analysis

Stable second-order schemes for the space-fractional Cahn–Hilliard and Allen–Cahn equations

(2019) Linlin Bu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Finite element simulation and efficient algorithm for fractional Cahn–Hilliard equation

(2019) Feng Wang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method

(2019) Shuying Zhai et al.   NUMERICAL ALGORITHMS

Time-fractional Allen–Cahn and Cahn–Hilliard phase-field models and their numerical investigation

(2018) Huan Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

(2017) J.E. Macías-Díaz   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations

(2017) Tianliang Hou et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations

(2017) Xue-lei Lin et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Analysis and Approximation of a Fractional Cahn--Hilliard Equation

(2017) Mark Ainsworth et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Spectral analysis and structure preserving preconditioners for fractional diffusion equations

(2016) Marco Donatelli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fractional Cahn–Hilliard, Allen–Cahn and porous medium equations

(2016) Goro Akagi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On fractal space-time and fractional calculus

(2016) Yue Hu et al.   Thermal Science

A fourth-order approximation of fractional derivatives with its applications

(2015) Zhao-peng Hao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast and stable explicit operator splitting methods for phase-field models

(2015) Yuanzhen Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation

(2015) Jessica Bosch et al.   SIAM Journal on Imaging Sciences

Cahn–Hilliard equation with nonlocal singular free energies

(2014) Helmut Abels et al.   ANNALI DI MATEMATICA PURA ED APPLICATA

Efficient numerical solution of discrete multi-component Cahn–Hilliard systems

(2013) P. Boyanova et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A circulant preconditioner for fractional diffusion equations

(2013) Siu-Long Lei et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An O(N log2N) alternating-direction finite difference method for two-dimensional fractional diffusion equations

(2011) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fast characteristic finite difference method for fractional advection–diffusion equations

(2010) Kaixin Wang et al.   ADVANCES IN WATER RESOURCES

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A direct O(Nlog2N) finite difference method for fractional diffusion equations

(2010) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS