[图书][B] A primer on radial basis functions with applications to the geosciences

B Fornberg, N Flyer - 2015 - SIAM
This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …

Finite-volume transport on various cubed-sphere grids

WM Putman, SJ Lin - Journal of Computational Physics, 2007 - Elsevier
The performance of a multidimensional finite-volume transport scheme is evaluated on the
cubed-sphere geometry. Advection tests with prescribed winds are used to evaluate a …

A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid

PH Lauritzen, RD Nair, PA Ullrich - Journal of Computational Physics, 2010 - Elsevier
A conservative multi-tracer transport algorithm on the cubed-sphere based on the semi-
Lagrangian approach (CSLAM) has been developed. The scheme relies on backward …

A class of deformational flow test cases for linear transport problems on the sphere

RD Nair, PH Lauritzen - Journal of computational physics, 2010 - Elsevier
A class of new benchmark deformational flow test cases for the two-dimensional horizontal
linear transport problems on the sphere is proposed. The scalar field follows complex …

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs

EF Bollig, N Flyer, G Erlebacher - Journal of Computational Physics, 2012 - Elsevier
This paper presents parallelization strategies for the radial basis function-finite difference
(RBF-FD) method. As a generalized finite differencing scheme, the RBF-FD method …

[HTML][HTML] A conservative semi-Lagrangian discontinuous Galerkin scheme on the cubed sphere

W Guo, RD Nair, JM Qiu - Monthly Weather Review, 2014 - journals.ametsoc.org
A Conservative Semi-Lagrangian Discontinuous Galerkin Scheme on the Cubed Sphere in:
Monthly Weather Review Volume 142 Issue 1 (2014) Jump to Content Logo Logo Logo Logo …

A standard test case suite for two-dimensional linear transport on the sphere

PH Lauritzen, WC Skamarock… - Geoscientific Model …, 2012 - gmd.copernicus.org
It is the purpose of this paper to propose a standard test case suite for two-dimensional
transport schemes on the sphere intended to be used for model development and facilitating …

Evaluating advection/transport schemes using interrelated tracers, scatter plots and numerical mixing diagnostics

PH Lauritzen, J Thuburn - Quarterly Journal of the Royal …, 2012 - Wiley Online Library
Atmospheric tracers are often observed to be functionally related, and these relations can be
physically or chemically significant. It is therefore highly desirable that the transport schemes …

A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes

PH Lauritzen, PA Ullrich, C Jablonowski… - Geoscientific Model …, 2014 - gmd.copernicus.org
Recently, a standard test case suite for 2-D linear transport on the sphere was proposed to
assess important aspects of accuracy in geophysical fluid dynamics with a" minimal" set of …

A neural network for determination of latent dimensionality in non-negative matrix factorization

BT Nebgen, R Vangara… - Machine Learning …, 2021 - iopscience.iop.org
Non-negative matrix factorization (NMF) has proven to be a powerful unsupervised learning
method for uncovering hidden features in complex and noisy data sets with applications in …