The Spectrum and the Stability of the Chebyshev Collocation Operator for Transonic Flow

DOI10.2307/2008763zbMath0699.76070OpenAlexW4229754423MaRDI QIDQ3478152

Dalia Fishelov

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008763

zbMATH Keywords

eigenvaluesspatial operatorextension of spectral methodssmall disturbance equation of transonic flow

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Transonic flows (76H05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

A new vortex scheme for viscous flows

Cites Work

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• Expansion procedures and similarity laws for transonic flow
• A pseudospectral Legendre method for hyperbolic equations with an improved stability condition
• Preconditioners for the Spectral Multigrid Method
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• Spectral Methods for the Small Disturbance Equation of Transonic Flows
• Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
• The Stability of Pseudospectral-Chebyshev Methods
• Modern Developments in Transonic Flow
• Implicit Finite-Difference Computations of Unsteady Transonic Flows about Airfoils
• Strang-Type Difference Schemes for Multidimensional Problems
• Calculation of plane steady transonic flows

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