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

Talks

• 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.