Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding [0.03%]
约束嵌入法在理论中的应用：一种解析约束嵌入技术
Hunter Johnston,Carl Leake,Yalchin Efendiev et al.
Hunter Johnston et al.
In this paper, we consider several new applications of the recently introduced mathematical framework of the Theory of Connections (ToC). This framework transforms constrained problems into unconstrained problems by introducing constraint-f...
Least-Squares Solutions of Eighth-Order Boundary Value Problems Using the Theory of Functional Connections [0.03%]
基于函数连接理论求解八阶边值问题的最小二乘解
Hunter Johnston,Carl Leake,Daniele Mortari
Hunter Johnston
This paper shows how to obtain highly accurate solutions of eighth-order boundary-value problems of linear and nonlinear ordinary differential equations. The presented method is based on the Theory of Functional Connections, and is solved i...
Daniele Mortari,Carl Leake
Daniele Mortari
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. In particular, it generalizes the bivariate Coons surface...