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This PR introduces a unified Gram-based Fourier Continuation framework across all PDE model directories and fixes some import bugs.
FC utilities have been added to the following directories as in the implementation of the neuraloperator library's
fourier_continuation.pyns1w/utils.pyks/utils.pykf/utils.pySome shared infrastructure (
callbacks.py,patching.py) has been reorganized into a centralized folder. Fourier continuation coefficient matrices have been reorganized and placed intoancillary/withfc_data/legacy matrices (.mat) and new FCGram coefficient matrices (.npz).General cleanup involved fixing some broken and inconsistent import statements, removing duplicate imports and resolved associated warnings, and re-importing some modules from the newer version of the library.