Program

Monday
June 8, 2026
Tuesday
June 9, 2026
Wednesday
June 10, 2026
9:00 – 9:30 The continuing contributions to numerical quadrature by James Gregory (1638-1675)
Bengt Fornberg
Padé Approximation Methods and Ordinary Differential Equations
Jonah Reeger
Radial basis function-generated finite differences for solving elliptic PDEs
Morten Eggert Nielsen
9:30 – 10:00 Computing with rational functions
Nick Trefethen
Quadrature formulas arising from discretizations of boundary value problems
Grady Wright
Fractional Derivatives – Definitions, Approximation, and Applications
Andrew Lawrence
10:00 – 10:30Coffee BreakCoffee BreakCoffee Break
10:30 – 11:00 The Gibbs phenomenon revisited
André Weideman
Flexible patch-based high-order methods for solving PDEs
Elisabeth Larsson
Continued fractions for rational interpolation 
Toby Driscoll
11:00 – 11:30 A Big Picture of Kernels: Looking at Three Views of Kernels – Starting from about 100 Years of Foundation Work
Greg Fasshauer
Rectangular spectral collocation
Toby Driscoll
Computing Differential Operators on Manifolds using The Radial Basis Functions Method
Cécile Piret
11:30 – 1:30Lunch BreakLunch BreakLunch Break
1:30 – 2:00 A new numerical method for the Gauss hypergeometric function
Bengt Fornberg
The Pole Field Solver
André Weideman
3D harmonic-function specific FD methods for differentiation of aeromagnetic data
Jeff Thurston
2:00 – 2:30Spiral waves in dispersive wave systems
Mark Ablowitz
A new framework for quadrature in geometrically complex domains
Grady Wright
A Big Picture of Kernels: Looking at Three Views of Kernels – Learning, Randomization and Explainability
Greg Fasshauer
2:30 – 3:00Coffee BreakCoffee BreakCoffee Break
3:00 – 3:30Quadrature = rational approximation
Nick Trefethen
Non-normality, pseudospectra, and singular values in non-Hermitian Photonics
Konstantinos Makris
Recent Developments in Approximation of Definite Integrals with Radial Basis Functions
Jonah Reeger
3:30 – 4:00On optimal shape parameters in Gaussian radial basis function approximation
Elisabeth Larsson
Time dependent Duhamel renormalization method
Ziad Musslimani
High-Order Numerical Solver for Fractional Order Initial Value Problems
Andrew Lawrence
6:00 – 8:00Conference DinnerDinnerDinner

Conference Schedule. Educational lectures are highlighted in blue, while research presentations are shown in green.