Hermite pseudospectral method for nonlinear partial differential equations
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 34, Issue: 4, page 859-872
- ISSN: 0764-583X
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topBen-yu Guo, and Cheng-long Xu. "Hermite pseudospectral method for nonlinear partial differential equations." ESAIM: Mathematical Modelling and Numerical Analysis 34.4 (2010): 859-872. <http://eudml.org/doc/197437>.
@article{Ben2010,
abstract = {
Hermite polynomial interpolation is investigated.
Some approximation results are obtained. As an example, the Burgers
equation on the whole line is considered. The stability and the
convergence of proposed Hermite pseudospectral scheme are proved
strictly. Numerical results are presented.
},
author = {Ben-yu Guo, Cheng-long Xu},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Hermite pseudospectral approximation; nonlinear partial differential equations.; Hermite polynomial interpolation; pseudospectral method; Burgers equation; stability; convergence; numerical results},
language = {eng},
month = {3},
number = {4},
pages = {859-872},
publisher = {EDP Sciences},
title = {Hermite pseudospectral method for nonlinear partial differential equations},
url = {http://eudml.org/doc/197437},
volume = {34},
year = {2010},
}
TY - JOUR
AU - Ben-yu Guo
AU - Cheng-long Xu
TI - Hermite pseudospectral method for nonlinear partial differential equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 4
SP - 859
EP - 872
AB -
Hermite polynomial interpolation is investigated.
Some approximation results are obtained. As an example, the Burgers
equation on the whole line is considered. The stability and the
convergence of proposed Hermite pseudospectral scheme are proved
strictly. Numerical results are presented.
LA - eng
KW - Hermite pseudospectral approximation; nonlinear partial differential equations.; Hermite polynomial interpolation; pseudospectral method; Burgers equation; stability; convergence; numerical results
UR - http://eudml.org/doc/197437
ER -
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