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math.NA2026
Quadratic projectable Runge-Kutta methods
Ari Stern, Milo Viviani
Runge-Kutta methods are affine equivariant: applying a method before or after an affine change of variables yields the same numerical trajectory. However, for some applications, on…
math.NA2025
A Lie algebra view of matrix splittings
Michele Benzi, Milo Viviani
In this paper we use some basic facts from the theory of (matrix) Lie groups and algebras to show that many of the classical matrix splittings used to construct stationary iterativ…