Analysis of some Krylov subspace approximations to the matrix exponential operator
SIAM Journal on Numerical Analysis
Calculation of functions of unsymmetric matrices using Arnoldi's method
Computational Mathematics and Mathematical Physics
Efficient solution of parabolic equations by Krylov approximation methods
SIAM Journal on Scientific and Statistical Computing
On dynamic iteration methods for solving time-periodic differential equations
SIAM Journal on Numerical Analysis
On Krylov Subspace Approximations to the Matrix Exponential Operator
SIAM Journal on Numerical Analysis
Discrete QMR and BCG in the numerical solution of linear systems of ODEs
Journal of Computational and Applied Mathematics
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
SIAM Journal on Matrix Analysis and Applications
Exponential Integrators for Large Systems of Differential Equations
SIAM Journal on Scientific Computing
Scientific Computing with Ordinary Differential Equations
Scientific Computing with Ordinary Differential Equations
Exponential time differencing for stiff systems
Journal of Computational Physics
Fourth-Order Time-Stepping for Stiff PDEs
SIAM Journal on Scientific Computing
Preconditioning Lanczos Approximations to the Matrix Exponential
SIAM Journal on Scientific Computing
EXPINT---A MATLAB package for exponential integrators
ACM Transactions on Mathematical Software (TOMS)
Exponential Runge-Kutta methods for parabolic problems
Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)
On the construction of restricted-denominator exponential W-methods
Journal of Computational and Applied Mathematics
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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.