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We present a MATLAB toolbox for five different classes of exponentialintegrators for solving (mildly) stiff ordinary differential equations ortime-dependent partial differential equations. For the efficiency of suchexponential integrators it is essential to approximate the products of thematrix functions arising in these integrators with vectors in a stable,reliable and efficient way. The toolbox contains options for computing thematrix functions directly by diagonalization or by Pade approximation. Forlarge scale problems, Krylov subspace methods are implemented as well.  The main motivation for this toolbox was to provide general tools which onone hand allows one to easily run experiments with different exponentialintegrators and on the other hand to make it easily extensible by making itsimple to include other methods or other options to compute the matrixfunctions. Thus we implemented the toolbox to be compatible with the odesolvers included in MATLAB. Most of the methods can be used with adaptivestepping.

EXPODE -- Advanced Exponential Time Integration Toolbox for MATLAB