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Fast Computation of Integrals with Fourier-Type Oscillator Involving Stationary Point

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Piecewise‐quadratic Harmut basis functions and their application to problems in digital signal processing
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Signal Processing Applications Using Multidimensional Polynomial Splines
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On the computation of highly oscillatory multivariate integrals with stationary points
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Fast, numerically stable computation of oscillatory integrals with stationary points
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Wave Propagation and Scattering in Random Media
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An improved Levin quadrature method for highly oscillatory integrals
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Efficient quadrature for highly oscillatory integrals involving critical points
inferredcites →https://doi.org/10.1016/j.cam.2014.09.019openalex-snapshot
New quadrature rules for highly oscillatory integrals with stationary points
inferredcites →https://doi.org/10.1016/j.cam.2014.11.023openalex-snapshot
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
inferredcites →https://doi.org/10.1016/j.enganabound.2012.01.008openalex-snapshot
Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
inferredcites →https://doi.org/10.1016/j.enganabound.2013.04.012openalex-snapshot
Meshless and wavelets based complex quadrature of highly oscillatory integrals and the integrals with stationary points
inferredcites →https://doi.org/10.1017/s0022112002008674openalex-snapshot
Analysis of the radar reflectivity of aircraft vortex wakes
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III.—On a Quadrature Formula for Trigonometric Integrals
inferredcites →https://doi.org/10.1090/s0025-5718-1982-0645668-7openalex-snapshot
Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
inferredcites →https://doi.org/10.1093/imanum/drh022openalex-snapshot
On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
inferredcites →https://doi.org/10.1093/imanum/dri040openalex-snapshot
Moment-free numerical integration of highly oscillatory functions
inferredcites →https://doi.org/10.1098/rspa.2004.1401openalex-snapshot
Efficient quadrature of highly oscillatory integrals using derivatives
inferredcites →https://doi.org/10.3390/math7100872openalex-snapshot
Numerical Solution of the Cauchy-Type Singular Integral Equation with a Highly Oscillatory Kernel Function
inferredcites →https://doi.org/10.3390/sym11020168openalex-snapshot
Hermite-Type Collocation Methods to Solve Volterra Integral Equations with Highly Oscillatory Bessel Kernels
inferredcites →https://doi.org/10.3390/sym11060728openalex-snapshot
Approximation to Logarithmic-Cauchy Type Singular Integrals with Highly Oscillatory Kernels

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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