A comparative study of numerical steepest descent, extrapolation, and sequence transformation methods in computing semi-infinite integrals
From MaRDI portal
Publication:430987
DOI10.1007/s11075-012-9574-xzbMath1245.65030OpenAlexW1991794829MaRDI QIDQ430987
Hassan Safouhi, Richard Mikael Slevinsky
Publication date: 26 June 2012
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9574-x
algorithmsnumerical integrationnumerical examplesscientific computingextrapolation methodsoscillatory integralssemi-infinite integralssequence transformationssteepest descent methods
Related Items (3)
Compact formulae for three-center nuclear attraction integrals over exponential type functions ⋮ Fast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on lattices ⋮ Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Survey of numerical stability issues in convergence acceleration
- Reliability conditions in quadrature algorithms
- An algorithm for a special case of a generalization of the Richardson extrapolation process
- Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
- Extrapolation methods theory and practice
- On remainder estimates for Levin-type sequence transformations
- Extended quadrature rules for oscillatory integrands
- A method to generate generalized quadrature rules for oscillatory integrals
- Fast integration of rapidly oscillatory functions
- Asymptotic expansions for oscillatory integrals using inverse functions
- On quadrature methods for highly oscillatory integrals and their implementation
- The properties of sine, spherical Bessel and reduced Bessel functions for improving convergence of semi-infinite very oscillatory integrals: the evaluation of three-centre nuclear attraction integrals overBfunctions
- Computation of Tail Probabilities via Extrapolation Methods and Connection with Rational and Padé Approximants
- Product Integration Rules at Clenshaw-Curtis and Related Points: A Robust Implementation
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- HURRY: An Acceleration Algorithm for Scalar Sequences and Series
- Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
- Extrapolation Methods for Oscillatory Infinite Integrals
- Numerical Comparisons of Nonlinear Convergence Accelerators
- A New Method for Approximating Improper Integrals
- Acceleration of Linear and Logarithmic Convergence
- Practical Extrapolation Methods
- An extremely efficient and rapid algorithm for numerical evaluation of three-centre nuclear attraction integrals over Slater-type functions
- A new algorithm for accurate and fast numerical evaluation of hybrid and three-centre two-electron Coulomb integrals over Slater-type functions
- Extrapolation methods for Sommerfeld integral tails
- The SIAM 100-Digit Challenge
- Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory
- Development of non-linear transformations for improving convergence of sequences
- Efficient quadrature of highly oscillatory integrals using derivatives
- Moment-free numerical integration of highly oscillatory functions
- On a Device for Computing the e m (S n ) Transformation
This page was built for publication: A comparative study of numerical steepest descent, extrapolation, and sequence transformation methods in computing semi-infinite integrals