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nonlinear partial differential equations.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Hermite pseudospectral method for nonlinear partial differential equations
Ben-yu Guo, Cheng-long Xu
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 4 / July 2000

Published online by Cambridge University Press:

15 April 2002, pp. 859-872

Print publication:

July 2000
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Hermite polynomial interpolation is investigated.Some approximation results are obtained. As an example, the Burgersequation on the whole line is considered. The stability and theconvergence of proposed Hermite pseudospectral scheme are provedstrictly. Numerical results are presented.