Results 1 to 10 of about 352 (53)

An Example of Clifford Algebras Calculations with GiNaC [PDF]

, 2005
This example of Clifford algebras calculations uses GiNaC (http://www.ginac.de/) library, which includes a support for generic Clifford algebra starting from version~1.3.0.
Kisil, Vladimir V.
core   +3 more sources

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics [PDF]

, 2023
We study temporal step size control of explicit Runge-Kutta methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic systems of conservation laws such as the Euler equations.
Castro, Hugo Guillermo, Dalcin, Lisandro, Gassner, Gregor J., Parsani, Matteo, Ranocha, Hendrik, Schlottke-Lakemper, Michael, Winters, Andrew R.   +6 more
core   +2 more sources

Random numbers from the tails of probability distributions using the transformation method [PDF]

, 2009
The speed of many one-line transformation methods for the production of, for example, Levy alpha-stable random numbers, which generalize Gaussian ones, and Mittag-Leffler random numbers, which generalize exponential ones, is very high and satisfactory ...
Fulger, Daniel, Germano, Guido, Scalas, Enrico   +2 more
core   +4 more sources

Stability of step size control based on a posteriori error estimates

, 2023
A posteriori error estimates based on residuals can be used for reliable error control of numerical methods. Here, we consider them in the context of ordinary differential equations and Runge-Kutta methods. In particular, we take the approach of Dedner &
Giesselmann, Jan, Ranocha, Hendrik
core   +1 more source

Event Generation and Statistical Sampling for Physics with Deep Generative Models and a Density Information Buffer [PDF]

, 2019
We present a study for the generation of events from a physical process with deep generative models. The simulation of physical processes requires not only the production of physical events, but also to ensure these events occur with the correct ...
Caron, Sascha, de Austri, Roberto Ruiz, de Swart, Wieske, Hendriks, Luc, Otten, Sydney, Podareanu, Damian, van Beekveld, Melissa, van Leeuwen, Caspar, Verheyen, Rob   +8 more
core   +2 more sources

A persistence landscapes toolbox for topological statistics [PDF]

, 2015
Topological data analysis provides a multiscale description of the geometry and topology of quantitative data. The persistence landscape is a topological summary that can be easily combined with tools from statistics and machine learning.
Adcock, Agarwal, Bendich, Bendich, Bubenik, Bubenik, Carlsson, Carlsson, Carrière, Chazal, Chazal, Chazal, Chepushtanova, Chung, Cohen-Steiner, Cohen-Steiner, Cohen-Steiner, Cortes, de Silva, Di Fabio, Donatini, Edelsbrunner, Edelsbrunner, Efrat, Fasy, Fasy, Ferri, Gamble, Ghrist, Hershberger, Hershberger, Kahle, Kovacev-Nikolic, Mischaikow, Munch, Nicolau, Paweł Dłotko, Perea, Peter Bubenik, Reininghaus, Robins, Robinson, Turner, Wasserman, Zomorodian   +44 more
core   +3 more sources

Some issues related to double roundings [PDF]

, 2013
International audienceDouble rounding is a phenomenon that may occur when different floating- point precisions are available on the same system. Although double rounding is, in general, innocuous, it may change the behavior of some useful small floating ...
Martin-Dorel, Érik, Melquiond, Guillaume, Muller, Jean-Michel   +2 more
core   +3 more sources

svt: Singular Value Thresholding in MATLAB [PDF]

, 2017
Many statistical learning methods such as matrix completion, matrix regression, and multiple response regression estimate a matrix of parameters. The nuclear norm regularization is frequently employed to achieve shrinkage and low rank solutions.
Li, Cai, Zhou, Hua
core   +2 more sources

Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI)

, 2023
The race for the most efficient, accurate, and universal algorithm in scientific computing drives innovation. At the same time, this healthy competition is only beneficial if the research output is actually comparable to prior results.
Benner, Peter, Lund, Kathryn, Saak, Jens
core   +1 more source

Efficient Mesh Management in Firedrake Using PETSc DMPlex [PDF]

, 2015
The use of composable abstractions allows the application of new and established algorithms to a wide range of problems, while automatically inheriting the benefits of well-known performance optimizations.
Gorman, Gerard J., Knepley, Matthew G., Lange, Michael, Mitchell, Lawrence   +3 more
core   +5 more sources