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math.NA2022
Fast high-dimensional integration using tensor networks
Sebastian Cassel
The design and application of regression-free tensor network representations for integration is presented. Tensor network methods are demonstrated to outperform Monte Carlo for tes…
math.NA2020
Self-accelerating root search and optimisation methods based on rational interpolation
Sebastian Cassel
Iteration methods based on barycentric rational interpolation are derived that exhibit accelerating orders of convergence. For univariate root search, the derivative-free methods a…