The scaling and squaring method is the most widely used method for computing the matrix exponential, not least because it is the method implemented in the MATLAB function expm. The method scales the ...

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 represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...