Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel

By Haiyong Wang, Shuhuang Xiang. 2011

59 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/86524b699b7ebf9e5e5fa31e3f7f3101b63cdb85

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Hermann Brunner
2. Shuhuang Xiang
3. Sheehan Olver

In Modeling and Simulation

1. Hermann Brunner
2. Shuhuang Xiang
3. Sheehan Olver
4. Martin Stynes
5. Natalia Kopteva

In Numerical Analysis

1. Hermann Brunner
2. Shuhuang Xiang
3. Natalia Kopteva
4. Martin Stynes

Citations in the corpus

• Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels (2013, background): “6) is of particular relevance: when ω 1, the kernel function is highly oscillatory, and then the computation of integrals by standard quadrature methods is exceedingly difficult and the cost steeply increases with ω (see for example [15, 20, 27]).”