A comparative study of meshless complex quadrature rules for highly oscillatory integrals
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Publication:1654629
DOI10.1016/j.enganabound.2014.11.024zbMath1403.65014OpenAlexW1966731127MaRDI QIDQ1654629
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.11.024
condition numberradial basis functionmeshless methodshape parameteroscillatory integralthin plate splineLevin's methodBessel RBF
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Cites Work
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- Superinterpolation in highly oscillatory quadrature
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A new class of oscillatory radial basis functions
- A universal solution to one-dimensional oscillatory integrals
- An improved Levin quadrature method for highly oscillatory integrals
- Delaminating quadrature method for multi-dimensional highly oscillatory integrals
- Efficient quadrature for highly oscillatory integrals involving critical points
- Fast, numerically stable computation of oscillatory integrals with stationary points
- An efficient method for evaluating the integral of a class of highly oscillatory functions
- Meshless and wavelets based complex quadrature of highly oscillatory integrals and the integrals with stationary points
- A comparison of numerical integration rules for the meshless local Petrov-Galerkin method
- Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions
- Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
- On quadrature methods for highly oscillatory integrals and their implementation
- A Comparative Study of Global and Local Meshless Methods for Diffusion-Reaction Equation
- Method for numerical integration of rapidly oscillating functions in diffraction theory
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- Radial Basis Functions
- Efficient quadrature of highly oscillatory integrals using derivatives
- Moment-free numerical integration of highly oscillatory functions