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

Schmelzer, 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 -