Solving Integral Equations with Inti.jl - JuliaCon 2024

Explore the capabilities of Inti.jl, a Julia package designed for solving volume and boundary integral equations, in this 31-minute conference talk from JuliaCon 2024. Discover how Inti.jl addresses the challenges of discretizing integral operators with singular kernels and efficiently approximating dense linear systems. Learn about the package's user-friendly and extensible features, including integration with Gmsh for pre- and post-processing, a unified API for modern acceleration techniques like Fast Multipole Method and ℋ-matrices, and specialized integration routines for handling singular kernels. Gain insights into how Inti.jl aims to bridge the gap between researchers developing efficient integral equation methods and potential users who may lack the necessary mathematical or computational background to implement these methods themselves.