ICMS 2024 Session: Numerical Software for Special Functions

ICMS 2024: Home, Sessions

Organizers

• Amparo Gil (U. Cantabria, Spain)
• Javier Segura (U. Cantabria, Spain)

Aim and Scope

Special functions appear in a vast number of scientific applications where numerical values for the functions are required. Recent numerical software for the computation of special functions will be presented in this session.

Topics

• Numerical Software for Special Functions and Applications

All talks in this session will take place on Wednesday, July 24. The provisional schedule is as follows:

Schedule

Time	Title	Speaker
13.30 - 14.00	Approximation of an inverse of the incomplete beta function	Mike Giles
14.00 - 14.30	DLMF Standard Reference Tables on Demand	Bonita Saunders
14.30 - 15.00	Automated steepest descent contour deformation for oscillatory integrals with multiple coalescing saddles.	Andrew Gibbs
15.00 - 15.30	ContinuumArrays.jl: a framework for working with orthogonal polynomials and solving differential equations.	Sheehan Olver
15.30 - 16.00	Coffee
16.00 - 16.30	Algorithms for the computation of classical Gaussian quadratures and associated barycentric interpolation.	Amparo Gil, Javier Segura

Abstracts

• Andrew Gibbs, University College London, UK. Automated steepest descent contour deformation for oscillatory integrals with multiple coalescing saddles.

• Amparo Gil, Javier Segura, Universidad de Cantabria, Spain. Algorithms for the computation of classical Gaussian quadratures and associated barycentric interpolation.

• Mike Giles, University of Oxford, UK. Approximation of an inverse of the incomplete beta function.

• Sheehan Olver, University College London, UK. ContinuumArrays.jl: a framework for working with orthogonal polynomials and solving differential equations.

• Bonita Saunders, National Institute of Standards and Technology, USA. DLMF Standard Reference Tables on Demand.