Exponential integrators for time–fractional partial differential equations

A family of Adams exponential integrators for fractional linear systems

(2013) Roberto Garrappa   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Note on Krylov Methods for Fractional Evolution Problems

(2013) Igor Moret   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

The Finite Difference Methods for Fractional Ordinary Differential Equations

(2013) Changpin Li et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Evaluation of generalized Mittag–Leffler functions on the real line

(2012) Roberto Garrappa et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS

(2012) ROBERTO GARRAPPA   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

The restarted shift-and-invert Krylov method for matrix functions

(2012) Igor Moret et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Fractional-calculus model for temperature and pressure waves in fluid-saturated porous rocks

(2011) Roberto Garra   PHYSICAL REVIEW E

On the Convergence of Krylov Subspace Methods for Matrix Mittag–Leffler Functions

(2011) Igor Moret et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On accurate product integration rules for linear fractional differential equations

(2010) Roberto Garrappa et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the use of matrix functions for fractional partial differential equations

(2010) Roberto Garrappa et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Exponential integrators

(2010) Marlis Hochbruck et al.   ACTA NUMERICA

Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems

(2009) V. Gafiychuk et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Implementation of exponential Rosenbrock-type integrators

(2008) Marco Caliari et al.   APPLIED NUMERICAL MATHEMATICS

On some explicit Adams multistep methods for fractional differential equations

(2008) Roberto Garrappa   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fractional Adams–Moulton methods

(2008) Luciano Galeone et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Acceleration Techniques for Approximating the Matrix Exponential Operator

(2008) M. Popolizio et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Error Estimates for Polynomial Krylov Approximations to Matrix Functions

(2008) Fasma Diele et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS