Discretized fractional calculus
SIAM Journal on Mathematical Analysis
On Krylov Subspace Approximations to the Matrix Exponential Operator
SIAM Journal on Numerical Analysis
A Schur-Parlett Algorithm for Computing Matrix Functions
SIAM Journal on Matrix Analysis and Applications
Numerical solution of the space fractional Fokker-Planck equation
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)
Finite difference approximations for fractional advection-dispersion flow equations
Journal of Computational and Applied Mathematics
Preconditioning Lanczos Approximations to the Matrix Exponential
SIAM Journal on Scientific Computing
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
SIAM Journal on Numerical Analysis
Numerical algorithm for the time fractional Fokker-Planck equation
Journal of Computational Physics
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Acceleration Techniques for Approximating the Matrix Exponential Operator
SIAM Journal on Matrix Analysis and Applications
Fractional Adams-Moulton methods
Mathematics and Computers in Simulation
Evaluation of generalized Mittag---Leffler functions on the real line
Advances in Computational Mathematics
A family of Adams exponential integrators for fractional linear systems
Computers & Mathematics with Applications
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Abstract: The main focus of this paper is the solution of some partial differential equations of fractional order. Promising methods based on matrix functions are taken in consideration. The features of different approaches are discussed and compared with results provided by classical convolution quadrature rules. By means of numerical experiments accuracy and performance are examined.