Rémi Abgrall (born 1961) is a French applied mathematician.

He is known for his contributions in computational fluid dynamics, numerical analysis of conservation laws, multiphase flow and Hamilton–Jacobi equations.

Abgrall received his degree in mathematics at École normale supérieure de Saint-Cloud in 1985 and his PhD at Pierre and Marie Curie University in 1987 with a thesis entitled Conception d’un modèle semi-lagrangien de turbulence bidimensionnelle.

He is honorary member of the Institut Universitaire de France.

He was elected as a Fellow of the Society for Industrial and Applied Mathematics, in the 2022 Class of SIAM Fellows, "for fundamental contributions to the development of numerical methods for conservation laws, in particular for multi-fluid flows and residual distribution schemes".