computational methods

Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems

This work focuses on developing methods for approximating the solution operators of a class of parametric partial differential equations via neural operators. Neural operators have several challenges, including the issue of generating appropriate …

Computational methods for nonlocal models

Develop efficient and parallel computational methods for class of nonlocal models such as Peridynamics and nonlocal diffusion equations