A new method for approximating improper integrals
SIAM Journal on Numerical Analysis
Fast integration of rapidly oscillatory functions
Journal of Computational and Applied Mathematics
A method to generate generalized quadrature rule for oscillatory integrals
Applied Numerical Mathematics
HURRY: An Acceleration Algorithm for Scalar Sequences and Series
ACM Transactions on Mathematical Software (TOMS)
Extended quadrature rules for oscillatory integrands
Applied Numerical Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
SIAM Journal on Numerical Analysis
Practical Extrapolation Methods: Theory and Applications
Practical Extrapolation Methods: Theory and Applications
Highly Oscillatory Problems
Survey of numerical stability issues in convergence acceleration
Applied Numerical Mathematics
SIAM Journal on Scientific Computing
Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval
Journal of Computational and Applied Mathematics
Hi-index | 0.00 |
With the advent of computers and scientific computing, there has been a push to develop more accurate and more efficient techniques in computing challenging problems in applied mathematics. In the numerical evaluation of semi-infinite integrals, a common problem in applied mathematics, three general methods have come to the forefront. To wit, these general methods are known as extrapolation methods, sequence transformations and steepest descent methods. In this work, we put these three general methods to the test on three prototypical semi-infinite integrals exhibiting oscillatory and exponential properties. On the bases of accuracy and efficiency, we compare and contrast the three general methods for computing infinite-range integrals. Through the numerical examples, we introduced refinements improving the accuracy and efficiency of the algorithms obtained from the three aforementioned methods.