Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations
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Publication:1731608
DOI10.1007/s10543-018-0730-0zbMath1416.65075OpenAlexW2896034930WikidataQ115604955 ScholiaQ115604955MaRDI QIDQ1731608
Publication date: 13 March 2019
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-018-0730-0
highly oscillatory integraldouble exponential transformationexponential transformationalgebraic singularityFilon-Clenshaw-Curtis rule
Related Items (5)
Efficient computation of oscillatory integrals by exponential transformations ⋮ Adaptive FCC+ rules for oscillatory integrals ⋮ On the stability of Filon-Clenshaw-Curtis rules ⋮ Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator ⋮ Efficient construction of FCC+ rules
Cites Work
- Unnamed Item
- Superinterpolation in highly oscillatory quadrature
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- Complex Gaussian quadrature of oscillatory integrals
- Double exponential formulas for numerical integration
- An IMT-type double exponential formula for numerical integration
- Detection of the singularities of a complex function by numerical approximations of its Laurent coefficients
- On a certain quadrature formula
- Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator
- Numerical approximation of vector-valued highly oscillatory integrals
- Discovery of the double exponential transformation and its developments
- Numerical integration of analytic functions
- Quadrature formulas obtained by variable transformation
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- The Exponentially Convergent Trapezoidal Rule
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- The Accuracy of Floating Point Summation
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- Singularity detection and processing with wavelets
- Deciphering Singularities by Discrete Methods
- Numerical Evaluation of High-Dimensional Integrals
- Estimation of errors in the numerical quadrature of analytic functions
- Accurate Sum and Dot Product
- The double-exponential transformation in numerical analysis
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