Deep NURBS improves PINNs for solving PDEs on arbitrary geometries.
arXiv research
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This study develops a NURBS-based method for conformal surface flattening without singularities.
Isogeometric analysis is a recently developed computational approach that integrates finite element analysis directly into design described by non-uniform rational B-splines (NURBS). In this paper we show that price surfaces that occur in option pricing can be easily described by NURBS surfaces. For a class of stochast…
Paper uses IGA for efficient pricing of financial derivatives, comparing it to FDM and FEM.
In applications like computer aided design, geometric models are often represented numerically as polynomial splines or NURBS, even when they originate from primitive geometry. For purposes such as redesign and isogeometric analysis, it is of interest to extract information about the underlying geometry through reverse…