Zobrazeno 1 - 10
of 505
pro vyhledávání: '"O'NEIL, MICHAEL"'
Autor:
Beckman, Paul G., O'Neil, Michael
We describe a fast algorithm for computing discrete Hankel transforms of moderate orders from $n$ nonuniform points to $m$ nonuniform frequencies in $O((m+n)\log\min(n,m))$ operations. Our approach combines local and asymptotic Bessel function expans
Externí odkaz:
http://arxiv.org/abs/2411.09583
Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing many identical inclusions. Historically, this numerical technique has
Externí odkaz:
http://arxiv.org/abs/2408.02881
Autor:
Goodwill, Tristan, O'Neil, Michael
Elliptic problems along smooth surfaces embedded in three dimensions occur in thin-membrane mechanics, electromagnetics (harmonic vector fields), and computational geometry. In this work, we present a parametrix-based integral equation method applica
Externí odkaz:
http://arxiv.org/abs/2401.12501
Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Moreover, there are numerous ways in which the geometry can be represented, numerous ways to represent the r
Externí odkaz:
http://arxiv.org/abs/2306.04473
We present a fast direct solver for boundary integral equations on complex surfaces in three dimensions using an extension of the recently introduced recursive strong skeletonization scheme. For problems that are not highly oscillatory, our algorithm
Externí odkaz:
http://arxiv.org/abs/2201.07325
The Laplace-Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface diffusion), electromagnetics (harmonic vector fields), and fluid dynamics (vesicle deformation). Using
Externí odkaz:
http://arxiv.org/abs/2111.10743
Autor:
Goodwill, Tristan, O'Neil, Michael
The Laplace-Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface diffusion), electromagnetics (harmonic vector fields), and fluid dynamics (vesicle deformation). In pa
Externí odkaz:
http://arxiv.org/abs/2108.08959
Autor:
Greengard, Philip, O'Neil, Michael
In this work we introduce a reduced-rank algorithm for Gaussian process regression. Our numerical scheme converts a Gaussian process on a user-specified interval to its Karhunen-Lo\`eve expansion, the $L^2$-optimal reduced-rank representation. Numeri
Externí odkaz:
http://arxiv.org/abs/2108.05924