On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus

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 parallel-in-time iterative algorithm for Volterra partial integral-differential problems with weakly singular kernel

(2020) Xian-Ming Gu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A modified Chebyshev ϑ ‐weighted Crank–Nicolson method for analyzing fractional sub‐diffusion equations

(2020) Raziyeh Erfanifar et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

On modified two-step iterative method in the fractional sense: some applications in real world phenomena

(2019) R. Erfanifar et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A fast numerical method for fractional partial differential equations

(2019) S. Mockary et al.   Advances in Difference Equations

A new non-standard finite difference method for analyzing the fractional Navier–Stokes equations

(2018) K. Sayevand et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Acute perturbation of Drazin inverse and oblique projectors

(2018) Sanzheng Qiao et al.   Frontiers of Mathematics in China

Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection–Diffusion Equation

(2017) Xian-Ming Gu et al.   JOURNAL OF SCIENTIFIC COMPUTING

The Chronicles of Fractional Calculus

(2017) J.A.Tenreiro Machado et al.   Fractional Calculus and Applied Analysis

An efficient quadratically convergent iterative method to find the Moore–Penrose inverse

(2016) H. Esmaeili et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

(2016) José António Tenreiro Machado et al.   Fractional Calculus and Applied Analysis

The modeling of the fractional-order shafting system for a water jet mixed-flow pump during the startup process

(2015) Beibei Xu et al.   Communications in Nonlinear Science and Numerical Simulation

Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit

(2015) Beibei Xu et al.   NONLINEAR DYNAMICS

Fractional Calculus: Quo Vadimus? (Where are we Going?)

(2015) J. Tenreiro Machado et al.   Fractional Calculus and Applied Analysis

An iterative method for computing the approximate inverse of a square matrix and the Moore–Penrose inverse of a non-square matrix

(2013) F. Toutounian et al.   APPLIED MATHEMATICS AND COMPUTATION

A note on the stability of a pth order iteration for finding generalized inverses

(2013) F. Soleymani et al.   APPLIED MATHEMATICS LETTERS

Chebyshev-type methods and preconditioning techniques

(2011) Hou-Biao Li et al.   APPLIED MATHEMATICS AND COMPUTATION

A Family of higher-order convergent iterative methods for computing the Moore–Penrose inverse

(2011) Haibin Chen et al.   APPLIED MATHEMATICS AND COMPUTATION

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

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

Recent history of fractional calculus

(2010) J. Tenreiro Machado et al.   Communications in Nonlinear Science and Numerical Simulation

Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations

(2010) Mehdi Dehghan et al.   computational and applied mathematics

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix

(2009) Weiguo Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Successive matrix squaring algorithm for computing outer inverses

(2008) Predrag S. Stanimirović et al.   APPLIED MATHEMATICS AND COMPUTATION

New iterative method for solving non-linear equations with fourth-order convergence

(2008) Mehdi Dehghan et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS