A $${P}_{n}^{\alpha ,\beta}$$-Based Method for Linear Nonconstant Coefficients High Order Eigenvalue Problems

DOI10.1007/978-3-642-15337-2_36zbMath1430.76391OpenAlexW100016308MaRDI QIDQ2998545

F. I. Dragomirescu

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_36

zbMATH Keywords

linear stabilityeigenvalue problemRayleigh numberspectral methodJacobi polynomial

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Free convection (76R10) Applications of hypergeometric functions (33C90)

Cites Work

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• Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
• Generalized Jacobi polynomials/functions and their applications
• Spectral methods in linear stability. Applications to thermal convection with variable gravity field
• Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations
• Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
• Shifted polynomials in a convection problem
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Spectral Methods

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