On boundary conditions parametrized by analytic functions. (arXiv:2205.03185v1 [cs.LG])

Web: http://arxiv.org/abs/2205.03185

Computer algebra can answer various questions about partial differential
equations using symbolic algorithms. However, the inclusion of data into
equations is rare in computer algebra. Therefore, recently, computer algebra
models have been combined with Gaussian processes, a regression model in
machine learning, to describe the behavior of certain differential equations
under data. While it was possible to describe polynomial boundary conditions in
this context, we extend these models to analytic boundary conditions.
Additionally, we describe the necessary algorithms for Gr\"obner …

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