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

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

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

A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

(2021) global Xian-MingGu   Numerical Mathematics-Theory Methods and Applications

A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains

(2021) Xin Huang et al.   APPLIED NUMERICAL MATHEMATICS

Tensor train rank minimization with hybrid smoothness regularization for visual data recovery

(2020) Jing-Hua Yang et al.   APPLIED MATHEMATICAL MODELLING

A Preconditioning Technique for All-at-Once System from the Nonlinear Tempered Fractional Diffusion Equation

(2020) Yong-Liang Zhao et al.   JOURNAL OF SCIENTIFIC COMPUTING

Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations

(2020) Lu Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation

(2020) Huan-Yan Jian et al.   APPLIED NUMERICAL MATHEMATICS

Low-Rank Tensor Completion Using Matrix Factorization Based on Tensor Train Rank and Total Variation

(2019) Meng Ding et al.   JOURNAL OF SCIENTIFIC COMPUTING

Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations

(2019) Zhong-Zhi Bai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A note on preconditioner for the Ohta–Kawasaki equation

(2018) Rui-Xia Li et al.   APPLIED MATHEMATICS LETTERS

Efficient preconditioner of one-sided space fractional diffusion equation

(2018) Xue-Lei Lin et al.   BIT NUMERICAL MATHEMATICS

Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations

(2017) Zhong-Zhi Bai et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

On Preconditioners Based on HSS for the Space Fractional CNLS Equations

(2017) Yu-Hong Ran et al.   East Asian Journal on Applied Mathematics

A preconditioned fast finite difference method for space-time fractional partial differential equations

(2017) Hongfei fu et al.   Fractional Calculus and Applied Analysis

A parameterized SHSS iteration method for a class of complex symmetric system of linear equations

(2016) Min-Li Zeng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Wavelet inpainting by fractional order total variation

(2016) Lingling Jiang et al.   MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING

Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems

(2016) Owe Axelsson et al.   NUMERICAL ALGORITHMS

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

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

A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution

(2015) Jianping Zhang et al.   SIAM Journal on Imaging Sciences

Preconditioning

(2015) A. J. Wathen   ACTA NUMERICA

Shift-splitting preconditioners for saddle point problems

(2014) Yang Cao et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fast Solvers for Cahn--Hilliard Inpainting

(2014) Jessica Bosch et al.   SIAM Journal on Imaging Sciences

Unconditionally stable schemes for higher order inpainting

(2013) Andrea Bertozzi et al.   Communications in Mathematical Sciences

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new approximation of the Schur complement in preconditioners for PDE-constrained optimization

(2011) John W. Pearson et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement

(2009) Yi-Fei Pu et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

Constraint Preconditioners for Symmetric Indefinite Matrices

(2009) Zhong-Zhi Bai et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS