Computing Highly Oscillatory Integrals : Back Matter Page 1 Bibliography [1] M. Abramowitz
and IA Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical …

We consider a Clenshaw–Curtis–Filon-type method for highly oscillatory Bessel transforms.
It is based on a special Hermite interpolation polynomial at the Clenshaw–Curtis points that …

The purpose of this thesis is the numerical integration of highly oscillatory functions, over
both univariate and multivariate domains. Oscillatory integrals have many applications …

The paper demonstrates symmetric integral operator and interpolation based numerical
approximations for linear and nonlinear ordinary differential equations (ODEs) with …

In this paper, we present an efficient Filon-type method for the integration of systems
containing Bessel functions with exotic oscillators based on a diffeomorphism transformation …

In this paper, we consider a new numerical method for computing highly oscillatory Bessel
transforms. We begin our analysis by using the integral form of Bessel function and its …

We present a generalised bivariate Filon–Clenshaw–Curtis cubature for the double highly
oscillatory integrals on the square. Under the Hermite interpolatory conditions meeting an …

Accurate algorithms are proposed for approximation of integrals involving highly oscillatory
Bessel function of the first kind over finite and infinite domains. Accordingly, Bessel …

We present a numerically stable way to compute oscillatory integrals. For each additional
frequency, only a small, well-conditioned linear system with a Hessenberg matrix must be …

In this paper we are interested in finding approximate solutions to a Volterra integral
equation of the first kind with a highly oscillatory Bessel kernel. We begin our analysis by …