88 citations · 233 across the 14 of their papers we have counts for
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math.GM2018
The Tensor Theory of Connections
Daniele Mortari, Carl Leake
This paper extends the univariate Theory of Connections, introduced in (Mortari,2017), to the multivariate case on rectangular domains with detailed attention to the bivariate case…
math.NA2018★ 88 cited
Deep Theory of Functional Connections: A New Method for Estimating the Solutions of PDEs
Carl Leake
This article presents a new methodology called deep Theory of Functional Connections (TFC) that estimates the solutions of partial differential equations (PDEs) by combining neural…
stat.ML2018★ 26 cited
Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines using the Theory of Functional Connections
Carl Leake, Hunter Johnston, Lidia Smith +1
Differential equations (DEs) are used as numerical models to describe physical phenomena throughout the field of engineering and science, including heat and fluid flow, structural…