A rational Arnoldi method, for computing the action of a matrix function, is applied in the construction of a numerical scheme for solving time-periodic linear differential problems arising from the semidiscretization of parabolic problems. Theoretical and computational results illustrate the effectiveness of the approach.
A rational Krylov method for solving time-periodic differential equations
NOVATI, PAOLO
2008
Abstract
A rational Arnoldi method, for computing the action of a matrix function, is applied in the construction of a numerical scheme for solving time-periodic linear differential problems arising from the semidiscretization of parabolic problems. Theoretical and computational results illustrate the effectiveness of the approach.
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