2 papers
math.NA2024
Tensor approximation of functional differential equations
Abram Rodgers, Daniele Venturi
Functional Differential Equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics (Hopf characteristic functional equation), quantum…
math.NA2023
Coordinate-adaptive integration of PDEs on tensor manifolds
Alec Dektor, Daniele Venturi
We introduce a new tensor integration method for time-dependent PDEs that controls the tensor rank of the PDE solution via time-dependent diffeomorphic coordinate transformations.…