A Note on Krylov Methods for Fractional Evolution Problems

Resolvent Krylov subspace approximation to operator functions

(2011) Volker Grimm   BIT NUMERICAL MATHEMATICS

Generalized exponential time differencing methods for fractional order problems

(2011) Roberto Garrappa et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On convergence of Krylov subspace approximations of time-invariant self-adjoint dynamical systems

(2011) Vladimir Druskin et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Using the Restricted-denominator Rational Arnoldi Method for Exponential Integrators

(2011) Paolo Novati   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

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

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

A quadrature based method for evaluating exponential-type functions for exponential methods

(2010) María López-Fernández   BIT NUMERICAL MATHEMATICS

On the use of matrix functions for fractional partial differential equations

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

Approximation of Semigroups and Related Operator Functions by Resolvent Series

(2010) Volker Grimm et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems

(2010) Vladimir Druskin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Exponential integrators

(2010) Marlis Hochbruck et al.   ACTA NUMERICA

Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts

(2009) Vladimir Druskin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function

(2008) Hansjörg Seybold et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS