# 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 -

## References

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