Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection

Zlatev, Zahari, et al. "Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 248-256. <http://eudml.org/doc/287767>.

@inProceedings{Zlatev2013,
abstract = {Multi-dimensional advection terms are an important part of many large-scale mathematical models which arise in different fields of science and engineering. After applying some kind of splitting, these terms can be handled separately from the remaining part of the mathematical model under consideration. It is important to treat the multi-dimensional advection in a sufficiently accurate manner. It is shown in this paper that high order of accuracy can be achieved when the well-known Crank-Nicolson numerical scheme is combined with the Richardson extrapolation.},
author = {Zlatev, Zahari, Dimov, Ivan, Faragó, István, Georgiev, Krassimir, Havasi, Ágnes, Ostromsky, Tzvetan},
booktitle = {Applications of Mathematics 2013},
keywords = {multi-dimensional advection equation; Crank-Nicolson scheme; Richardson extrapolation},
location = {Prague},
pages = {248-256},
publisher = {Institute of Mathematics AS CR},
title = {Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection},
url = {http://eudml.org/doc/287767},
year = {2013},
}

TY - CLSWK
AU - Zlatev, Zahari
AU - Dimov, Ivan
AU - Faragó, István
AU - Georgiev, Krassimir
AU - Havasi, Ágnes
AU - Ostromsky, Tzvetan
TI - Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 248
EP - 256
AB - Multi-dimensional advection terms are an important part of many large-scale mathematical models which arise in different fields of science and engineering. After applying some kind of splitting, these terms can be handled separately from the remaining part of the mathematical model under consideration. It is important to treat the multi-dimensional advection in a sufficiently accurate manner. It is shown in this paper that high order of accuracy can be achieved when the well-known Crank-Nicolson numerical scheme is combined with the Richardson extrapolation.
KW - multi-dimensional advection equation; Crank-Nicolson scheme; Richardson extrapolation
UR - http://eudml.org/doc/287767
ER -