Chebyshev Polynomials in the Numerical Solution of Differential Equations

DOI10.2307/2006119zbMath0386.65040OpenAlexW4237481395MaRDI QIDQ4167499

A. G. Morris, Thomas Sumner Horner

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2006119

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Legendre expansion method for the solution of the second-and fourth-order elliptic equations ⋮ A matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials ⋮ Recurrence Relations for the Coefficients in Chebyshev Series Solutions of Ordinary Differential Equations ⋮ The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function ⋮ An extension of the Chebyshev polynomials ⋮ Legendre polynomial solutions of high-order linear Fredholm integro-differential equations ⋮ A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation ⋮ A recursive formulation of collocation in terms of canonical polynomials

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• The $LZ$-Algorithm to Solve the Generalized Eigenvalue Problem
• Numerical Methods for Hydrodynamic Stability Problems
• An Algorithm for Generalized Matrix Eigenvalue Problems