no code implementations • 23 Apr 2024 • Shuo Ling, Liwei Tan, Wenjun Ying
This approach, within the framework of the boundary integral method, designs a network to approximate the solution operator for the corresponding integral equations by mapping the parameters, inhomogeneous terms and boundary information of PDEs to the boundary density functions, which can be regarded as the solution of the integral equations.
no code implementations • 30 Jan 2024 • Pawan Negi, Maggie Cheng, Mahesh Krishnamurthy, Wenjun Ying, Shuwang Li
Green's function characterizes a partial differential equation (PDE) and maps its solution in the entire domain as integrals.