A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points
From MaRDI portal
Publication:5244395
DOI10.1137/18M1221138WikidataQ126791840 ScholiaQ126791840MaRDI QIDQ5244395
Nele Lejon, Daan Huybrechs, Arno B. J. Kuijlaars
Publication date: 21 November 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06549
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical integration (65D30) Uniqueness and localization for orthogonal series (42C25)
Related Items (3)
Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation ⋮ Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superinterpolation in highly oscillatory quadrature
- Complex Gaussian quadrature of oscillatory integrals
- The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
- Numerical algorithms for uniform Airy-type asymptotic expansions
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- Interpolatory quadrature rules for oscillatory integrals
- Multiple orthogonal polynomials associated with an exponential cubic weight
- Asymptotic Approximations of Integrals
- On Airy Solutions of the Second Painlevé Equation
- Unique positive solution for an alternative discrete Painlevé I equation
- Efficient calculation of the green function for acoustic propagation above a homogeneous impedance plane
- Wronskians and Linear Independence
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Matrix Analysis
- Time-Dependent Orthogonal Polynomials and Theory of Soliton –Applications to Matrix Model, Vertex Model and Level Statistics
- Computing Highly Oscillatory Integrals
- Efficient quadrature of highly oscillatory integrals using derivatives
- Moment-free numerical integration of highly oscillatory functions
- Calculation of Gauss Quadrature Rules
- Efficient Computation of the Complex Error Function
- A numerical method for the integration of oscillatory functions
- Evaluation of the exponential integral for large complex arguments
- Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.
This page was built for publication: A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points