# Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.

Schmelzer, Thomas; Trefethen, Lloyd N.

ETNA. Electronic Transactions on Numerical Analysis [electronic only] (2007)

- Volume: 29, page 1-18
- ISSN: 1068-9613

## Access Full Article

top## How to cite

topSchmelzer, Thomas, and Trefethen, Lloyd N.. "Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.." ETNA. Electronic Transactions on Numerical Analysis [electronic only] 29 (2007): 1-18. <http://eudml.org/doc/117658>.

@article{Schmelzer2007,

author = {Schmelzer, Thomas, Trefethen, Lloyd N.},

journal = {ETNA. Electronic Transactions on Numerical Analysis [electronic only]},

keywords = {matrix exponential; exponential integrators; stiff semilinear parabolic PDEs; rational uniform approximation; Hankel contour; numerical quadrature; numerical examples; Carathéodory-Fejér approximation; contour integrals},

language = {eng},

pages = {1-18},

publisher = {Kent State University, Department of Mathematics and Computer Science},

title = {Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.},

url = {http://eudml.org/doc/117658},

volume = {29},

year = {2007},

}

TY - JOUR

AU - Schmelzer, Thomas

AU - Trefethen, Lloyd N.

TI - Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.

JO - ETNA. Electronic Transactions on Numerical Analysis [electronic only]

PY - 2007

PB - Kent State University, Department of Mathematics and Computer Science

VL - 29

SP - 1

EP - 18

LA - eng

KW - matrix exponential; exponential integrators; stiff semilinear parabolic PDEs; rational uniform approximation; Hankel contour; numerical quadrature; numerical examples; Carathéodory-Fejér approximation; contour integrals

UR - http://eudml.org/doc/117658

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.