Legendre and Chebyshev spectral approximations of Burgers' equation

Yvon Maday, Alfio Quarteroni

Type: Article

Publication Date: 1981-10-01

Citations: 65

DOI: https://doi.org/10.1007/bf01400311

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Numerische Mathematik - View

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Works That Cite This (52)

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+ PDF Chat	Spectral Methods and a Maximum Principle	1988	Claudio Canuto
+	The Schwarz Algorithm for Spectral Methods	1988	Claudio Canuto Daniele Funaro
+	A Fourier Pseudospectral Method for the "Good" Boussinesq Equation with Second Order Temporal Accuracy	2014	Kelong Cheng Wenqiang Feng Sigal Gottlieb Cheng Wang
+	Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations	1996	Gamal N. Elnagar Mahdi Kazemi
+ PDF Chat	A second order operator splitting numerical scheme for the “good” Boussinesq equation	2017	Cheng Zhang Hui Wang Jingfang Huang Chengen Wang Xingye Yue
+	Convergence of Spectral Methods for Burgers’ Equation	1992	E Weinan
+	Multilevel augmentation methods for solving the Burgers' equation	2015	Jian Chen Zhongying Chen Sirui Cheng Jie-min Zhan
+ PDF Chat	On the use of spectral methods for the numerical solution of stiff problems	1988	Hervé Guillard R. Peyret
+	Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations	1982	Yvon Maday Alfio Quarteroni
+	Chebyshev spectral-finite element method for three-dimensional vorticity equation	1998	Guo Ben‐yu Heping Ma Songnian He

Works Cited by This (8)

Action	Title	Year	Authors
+	Espaces intermédiaires entre espaces de Sobolev avec poids	1963	Pierre Grisvard
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes
+ PDF Chat	Approximation results for orthogonal polynomials in Sobolev spaces	1982	Claudio Canuto Alfio Quarteroni
+	Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions	1981	Claudio Canuto Alfio Quarteroni
+	Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations	1982	Yvon Maday Alfio Quarteroni
+ PDF Chat	Approximation of Burgers' equation by pseudo-spectral methods	1982	Yvon Maday Alfio Quateroni
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions
+	Non-Homogeneous Boundary Value Problems and Applications	1972	J. L. Lions Enrico Magenes