Asymptotic expansion and quadrature of composite highly oscillatory integrals

DOI10.1090/S0025-5718-2010-02386-5zbMath1213.65045OpenAlexW1994884308MaRDI QIDQ3081284

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Publication date: 7 March 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02386-5

zbMATH Keywords

asymptotic expansionhighly oscillatory integralFilon-type quadratureefficient quadraturesimulation of electronic circuits

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (7)

A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems ⋮ Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales ⋮ Gaussian quadrature rules for composite highly oscillatory integrals ⋮ Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs ⋮ Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method ⋮ A user-friendly method for computing indefinite integrals of oscillatory functions ⋮ Efficient representation and accurate evaluation of oscillatory integrals and functions

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• On numerical methods for highly oscillatory problems in circuit simulation
• On highly oscillatory problems arising in electronic engineering
• Efficient quadrature of highly oscillatory integrals using derivatives
• Moment-free numerical integration of highly oscillatory functions
• Efficient transient simulation of interconnect networks

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