Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
Document title: Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310627
ISSN: 0101-8205
Authors: 1
2
Institutions: 1Tongji University, Department of Applied Mathematics, Shanghai. China
2Shanghai Normal University, Department of Mathematics, Shanghai. China
Year:
Volumen: 22
Number: 2
Pages: 167-193
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Aproximación de Hermite,
Ecuaciones diferenciales parciales
Keyword: Mathematics,
Applied mathematics,
Hermite approximation,
Partial differential equations
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