An adaptive anisotropic composite quadrature strategy combined with refresh-based training narrows the gap between training and reference losses in neural residual minimization for PDEs while using quadrature points more efficiently.
A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
2 Pith papers cite this work, alongside 212 external citations. Polarity classification is still indexing.
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Defines differentiable weak distance on SE(3) for surface measures via Sobolev norms and shows local optimization with trust-region methods and NUFFT gradients.
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Adaptive anisotropic composite quadratures for residual minimisation in neural PDE approximations
An adaptive anisotropic composite quadrature strategy combined with refresh-based training narrows the gap between training and reference losses in neural residual minimization for PDEs while using quadrature points more efficiently.
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Local optimization of weak distance between compact surfaces on special Euclidean group
Defines differentiable weak distance on SE(3) for surface measures via Sobolev norms and shows local optimization with trust-region methods and NUFFT gradients.