This paper presents and analyzes an algorithm for computing the exponential of an arbitrary n × n matrix. Diagonal Padé table approximations are used in conjunction with several techniques for ...

Exponential Integrators: Numerical methods that use the matrix exponential to integrate the linear part of a differential equation exactly, thereby mitigating stiffness-related challenges.

Relations among the these numbers and polynomials of neqative integer order, the beta-type rational functions, finite combinatorial sums, the Stirling numbers, and the Lah numbers are given. Finally, ...