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- research-articleAugust 2024
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
Journal of Computational Physics (JOCP), Volume 513, Issue Chttps://doi.org/10.1016/j.jcp.2024.113194AbstractThe lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous latest advances are accomplished in developing neural operators, a ...
Highlights- We propose a new neural operator model for partial differential equation (PDE) solving and realize an effective linear prediction of non-linear dynamics via Koopman operator.
- Our approach achieves robust and accurate modeling of the ...