Some new uses of the \(\eta _m(Z)\) functions

DOI10.1016/j.cpc.2009.08.007zbMath1205.65129OpenAlexW1492478302MaRDI QIDQ615018

Beatrice Paternoster, Dajana Conte, L. Gr. Ixaru, Elena Esposito

Publication date: 5 January 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.08.007

zbMATH Keywords

approximation formulaehyperbolic functionstrigonometric functionsexponential fitting\(\eta _m\) set of functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ Modified Gauss-Laguerre exponential fitting based formulae ⋮ Exponential fitting for interpolation of oscillatory functions. A numerical approach ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Exponentially fitted two-step peer methods for oscillatory problems ⋮ Study the genetic variation using eta functions ⋮ Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection ⋮ The least-squares fit of highly oscillatory functions using eta-based functions ⋮ Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval ⋮ Numerical computation of the coefficients in exponential fitting ⋮ Adapted explicit two-step peer methods

Uses Software

• Mathematica
• formConv

Cites Work

• Unnamed Item
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• Exponentially-fitted Numerov methods
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• Exponentially-fitted Obrechkoff methods for second-order differential equations
• Operations on oscillatory functions
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• SLCPM12 -- a program for solving regular Sturm-Liouville problems
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• MATSLISE