Green’s Functions: Applications

By H. Eom. 2004

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Recent Advances in Active Infrared Thermography for Non-Destructive Testing of Aerospace Components (2018, methodology): “According to Green’s theorem [55], to solve the linear inhomogeneous transient heat Equation (1), it is useful to define a Green space-time function that satisfies the homogeneous boundary conditions on the boundary of the material.”
Nonequilibrium statistical mechanics of systems with long-range interactions (2013, background): “, (40) with boundary conditions lim|x|→∞ ψlb(x) = |x| and ψlb(0) = 0, where Lin(x) is the polylogarithm function of order n [136].”
Self-Distillation Amplifies Regularization in Hilbert Space (2020, background): “It has a known solution form, due to representer theorem [Sch¨olkopf et al., 2001], which we will present here in a proposition.”