Zobrazeno 1 - 10
of 55
pro vyhledávání: '"B Platte"'
Autor:
Tony Liu, Rodrigo B. Platte
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1845 (2021)
Polyharmonic spline (PHS) radial basis functions (RBFs) have been used in conjunction with polynomials to create RBF finite-difference (RBF-FD) methods. In 2D, these methods are usually implemented with Cartesian nodes, hexagonal nodes, or most commo
Externí odkaz:
https://doaj.org/article/e875a3363292423f916cbf220ceb7705
Publikováno v:
Transactions of Mathematics and Its Applications. 5
A framework for natural gas pipelines is developed in a context similar to the theory of electric transmission lines. The system of semi-linear partial differential equations describing the time-dependent flow of natural gas is linearized around the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b1a2c37f2ccddddf07954f38424d7a4
https://doi.org/10.1093/imatrm/tnab002
https://doi.org/10.1093/imatrm/tnab002
Publikováno v:
IMA Journal of Numerical Analysis. 39:1360-1390
We consider the problem of approximating an analytic function on a compact interval from its values at $M+1$ distinct points. When the points are equispaced, a recent result (the so-called impossibility theorem) has shown that the best possible conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea79c33a32bacdeba6df7c8c4b82ac8e
https://doi.org/10.1093/imanum/dry024
https://doi.org/10.1093/imanum/dry024
Akademický článek
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Publikováno v:
Journal of Scientific Computing. 75:225-252
Sparse regularization plays a central role in many recent developments in imaging and other related fields. However, it is still of limited use in numerical solvers for partial differential equations (PDEs). In this paper we investigate the use of $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bb1e2f22f82395ec6f9c1f689b50c5b
https://doi.org/10.1007/s10915-017-0530-8
https://doi.org/10.1007/s10915-017-0530-8
Publikováno v:
Journal of Computational Physics. 338:357-370
This paper investigates accurate and efficient l 1 regularization methods for generating synthetic aperture radar (SAR) images. Although l 1 regularization algorithms are already employed in SAR imaging, practical and efficient implementation in term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9862f208e45587452a3ac60f65d2014c
https://doi.org/10.1016/j.jcp.2017.02.071
https://doi.org/10.1016/j.jcp.2017.02.071
The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data, with no p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28439859e94744ca2bd0644d85f95ac8
http://arxiv.org/abs/1812.11449
http://arxiv.org/abs/1812.11449
Autor:
Jordan Martel, Rodrigo B. Platte
Publikováno v:
Journal of Scientific Computing. 69:487-505
This paper investigates the stability of the radial basis function (RBF) collocation method for convective problems on the circle and sphere. We prove that the RBF method is Lax-stable for problems on the circle when the collocation points are equisp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::515e2fa5e3bb8729502cc5e04365ee52
https://doi.org/10.1007/s10915-016-0206-9
https://doi.org/10.1007/s10915-016-0206-9
Autor:
Rodrigo B. Platte, Ben Adcock
Publikováno v:
SIAM Journal on Numerical Analysis. 54:2256-2281
The focus of this paper is the approximation of analytic functions on compact intervals from their pointwise values on arbitrary grids. We introduce a new method for this problem based on mapped polynomial approximation. By careful selection of the m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50c5a0652c6c1e2fe02bdf6da61365bf
https://doi.org/10.1137/15m1023853
https://doi.org/10.1137/15m1023853
Autor:
Rodrigo B. Platte, Toby Sanders
Publikováno v:
Advanced Structural and Chemical Imaging
Advanced Structural and Chemical Imaging, Vol 4, Iss 1, Pp 1-18 (2018)
Advanced Structural and Chemical Imaging, Vol 4, Iss 1, Pp 1-18 (2018)
In the realm of signal and image denoising and reconstruction, $$\ell _1$$ ℓ 1 regularization techniques have generated a great deal of attention with a multitude of variants. In this work, we demonstrate that the $$\ell _1$$ ℓ 1 formulation can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bf27b08160c33ce2c1d1b246e19984b
https://doi.org/10.1186/s40679-018-0061-x
https://doi.org/10.1186/s40679-018-0061-x