On an improved-Levin oscillatory quadrature method

DOI10.1016/j.jmaa.2011.03.055zbMath1215.65046OpenAlexW2005600011MaRDI QIDQ536249

Shunping Xiao, Jianbing Li, Ming Zhu, Tao Wang, Xue-Song Wang

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.055

zbMATH Keywords

numerical examplesLU factorizationill-conditioned matrixtruncated singular value decompositionoscillatory integralChebyshev differentiation matrixerror reduction factorLevin quadrature method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

On the evaluation of highly oscillatory integrals with high frequency ⋮ A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions ⋮ Numerical approximation of oscillatory integrals of the linear ship wave theory ⋮ Numerical integration of multi-dimensional highly oscillatory integrals, based on eRPIM

Uses Software

• corner.m

Cites Work

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• An improved Levin quadrature method for highly oscillatory integrals
• A comparison of some methods for the evaluation of highly oscillatory integrals
• Improving the accuracy of the matrix differentiation method for arbitrary collocation points
• On the computation of high order pseudospectral derivatives
• On the computation of highly oscillatory multivariate integrals with stationary points
• An adaptive pruning algorithm for the discrete L-curve criterion
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
• Efficient quadrature of highly oscillatory integrals using derivatives
• Smoothing‐Norm Preconditioning for Regularizing Minimum‐Residual Methods
• Moment-free numerical integration of highly oscillatory functions
• Quadrature methods for multivariate highly oscillatory integrals using derivatives

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