An Algorithm for Nondominant Solutions of Linear Second-Order Inhomogeneous Difference Equations

DOI10.2307/2153490zbMath0831.65140OpenAlexW2055437984MaRDI QIDQ4846172

Tatsuo Torii, Takemitsu Hasegawa

Publication date: 18 February 1996

Full work available at URL: https://doi.org/10.2307/2153490

zbMATH Keywords

algorithmconvergencenumerical examplesnondominant solutionslinear second-order inhomogeneous difference equations

Mathematics Subject Classification ID

Related Items (5)

Uniform approximation to Cauchy principal value integrals with logarithmic singularity ⋮ A method for indefinite integration of oscillatory and singular functions ⋮ Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm ⋮ A user-friendly method for computing indefinite integrals of oscillatory functions ⋮ An automatic integration procedure for infinite range integrals involving oscillatory kernels

Uses Software

• QUADPACK
• Clenshaw-Curtis

Cites Work

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• A method for numerical integration on an automatic computer
• An extension of Clenshaw-Curtis quadrature
• A summation technique for minimal solutions of linear homogeneous difference equations
• A reformulation of Olver's algorithm for the numerical solution of second-order difference-equations
• A note on the numerical solution of linear recurrence relations
• Indefinite integration of oscillatory functions by the Chebyshev series expansion
• The numerical solution of linear recurrence relations
• An extension of Olver's error estimation technique for linear recurrence relations
• An automatic integration procedure for infinite range integrals involving oscillatory kernels
• Convergence Acceleration for the Numerical Solution of Second-Order Linear Recurrence Relations
• Error Bounds for Linear Recurrence Relations
• An Extension of Olver's Method for the Numerical Solution of Linear Recurrence Relations
• An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations
• Implementing Clenshaw-Curtis quadrature, I methodology and experience
• Note on Backward Recurrence Algorithms

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