The least-squares fit of highly oscillatory functions using eta-based functions

DOI10.1016/j.cam.2020.112839OpenAlexW3013398332MaRDI QIDQ1987440

L. Gr. Ixaru, S. Mashayekhi

Publication date: 15 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112839

zbMATH Keywords

eta functionsLegendre polynomialsleast squares approximation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25)

Related Items (2)

Fractional forward Kolmogorov equations in population genetics ⋮ Study the genetic variation using eta functions

Uses Software

• LILIX
• formConv

Cites Work

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• Hybrid functions approach for nonlinear constrained optimal control problems
• RBF-FD formulas and convergence properties
• Exponential fitting direct quadrature methods for Volterra integral equations
• Some new uses of the \(\eta _m(Z)\) functions
• Optimization of time delay systems by hybrid functions
• Optimal control of linear time-varying systems via Fourier series
• Operations on oscillatory functions
• Extended quadrature rules for oscillatory integrands
• Quadrature rules using first derivatives for oscillatory integrands
• LILIX -- a package for the solution of the coupled channel Schrödinger equation
• Spectral Methods
• Truncation Errors in Exponential Fitting for Oscillatory Problems

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