# Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources

@article{Botchev2018ExponentialKT, title={Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources}, author={Mike A. Botchev and Abel M. Hanse and R. Uppu}, journal={J. Comput. Appl. Math.}, year={2018}, volume={340}, pages={474-485} }

## 6 Citations

### A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling

- Computer ScienceComput. Math. Appl.
- 2020

### A residual concept for Krylov subspace evaluation of the 𝓁 matrix function

- Computer ScienceArXiv
- 2020

An efficient Krylov subspace algorithm for computing actions of the $\varphi$ matrix function for large matrices, based on a reliable residual based stopping criterion and a new efficient restarting procedure is proposed.

### A residual concept for Krylov subspace evaluation of the $\varphi$ matrix function

- Computer Science
- 2020

Numerical tests demonstrate efficiency of the proposed algorithm for solving large scale evolution problems resulting from discretized in space time-dependent PDEs, in particular, diffusion and convection–diffusion problems.

### An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices

- Computer ScienceComputational Mathematics and Mathematical Physics
- 2019

An accurate residual--time (AccuRT) restarting for computing matrix exponential actions of nonsymmetric matrices by the shift-and-invert (SAI) Krylov subspace method is proposed and improved accuracy and efficiency are demonstrated.

### Residual and Restarting in Krylov Subspace Evaluation of the φ Function

- Computer ScienceSIAM J. Sci. Comput.
- 2021

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