Spectral methods in time for parabolic problems
SIAM Journal on Numerical Analysis
Efficient solution of parabolic equations by Krylov approximation methods
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific Computing
On Krylov Subspace Approximations to the Matrix Exponential Operator
SIAM Journal on Numerical Analysis
An interpolatory approximation of the matrix exponential based on Faber polynomials
Journal of Computational and Applied Mathematics
A polynomial method based on Fejèr points for the computation of functions of unsymmetric matrices
Applied Numerical Mathematics
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In this paper we introduce an explicit one-step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit Euler method that allows to reduce the stiffness in some sense. Some numerical experiments on linear stiff problems and on the Van der Pol's equation show the effectiveness of the method.