Error analysis for frequency-dependent interpolation formulas using first derivatives

DOI10.1016/j.amc.2011.02.073zbMath1222.41005OpenAlexW2075005009MaRDI QIDQ544070

Kyung Joong Kim

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.073

zbMATH Keywords

exponentially fitted interpolationinterpolation formula

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (2)

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ Unnamed Item

Uses Software

• Matlab

Cites Work

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• Exponentially fitted variable two-step BDF algorithm for first order ODEs
• Operations on oscillatory functions
• Extended quadrature rules for oscillatory integrands
• Frequency evaluation in exponential fitting multistep algorithms for ODEs
• Quadrature rules using first derivatives for oscillatory integrands
• Two-frequency-dependent Gauss quadrature rules
• Frequency-dependent interpolation rules using first derivatives for oscillatory functions
• COMPOSITE-EXPONENTIAL-FITTING INTERPOLATION RULES
• Truncation Errors in Exponential Fitting for Oscillatory Problems

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