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Numerical Methods for Antiferromagnets [PDF]

open access: yesIEEE Transactions on Magnetics, 2020
Compared with ferromagnetic counterparts, antiferromagnetic materials are considered as the future of spintronic applications since these materials are robust against the magnetic perturbation, produce no stray field, and display ultrafast dynamics. There are (at least) two sets of magnetic moments in antiferromagnets (with magnetization of the same ...
Panchi Li   +3 more
openaire   +3 more sources

Numerical methods for quasicrystals [PDF]

open access: yesJournal of Computational Physics, 2014
27 pages, 8 figures, 6 ...
Kai Jiang, Pingwen Zhang
openaire   +2 more sources

Numerical Methods for Multilattices [PDF]

open access: yesMultiscale Modeling & Simulation, 2012
Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystalline materials with Bravais lattice and was later extended to multilattices (Tadmor et al, 1999).
Abdulle, Assyr   +2 more
openaire   +4 more sources

Numerical methods for fractional diffusion [PDF]

open access: yesComputing and Visualization in Science, 2018
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approach that applies to the spectral definition and exploits the extension to one higher dimension.
Andrea Bonito   +4 more
openaire   +2 more sources

ChatGPT FOR PROGRAMMING NUMERICAL METHODS

open access: yesJournal of Machine Learning for Modeling and Computing, 2023
ChatGPT is a large language model recently released by the OpenAI company. In this technical report, we explore for the first time the capability of ChatGPT for programming numerical algorithms. Specifically, we examine the capability of GhatGPT for generating codes for numerical algorithms in different programming languages, for debugging and ...
Ali Kashefi, Tapan Mukerji
openaire   +2 more sources

Numerical methods with Sage

open access: yesTbilisi Mathematical Journal, 2012
Numpy and SciPy are program libraries for the Python scripting language, which apply to a large spectrum of numerical and scientific computing tasks. The Sage project provides a multiplatform software environment which enables one to use, in a unified way, a large number of software components, including Numpy and Scipy, and which has Python as its ...
Ruotsalainen, Lauri, Vuorinen, Matti
openaire   +4 more sources

Bayesian Probabilistic Numerical Methods [PDF]

open access: yesSIAM Review, 2019
The emergent field of probabilistic numerics has thus far lacked clear statistical principals. This paper establishes Bayesian probabilistic numerical methods as those which can be cast as solutions to certain inverse problems within the Bayesian framework.
Jon Cockayne   +3 more
openaire   +5 more sources

Spectral Methods for Numerical Relativity

open access: yesLiving Reviews in Relativity, 2009
This new version has been accepted for publication in Living Reviews in ...
Grandclement, Philippe, Novak, Jérôme
openaire   +5 more sources

A Numerical Study of the Probe Method

open access: yesSIAM Journal on Scientific Computing, 2006
The goal of this work is the numerical realization of the probe method suggested by Ikehata for the detection of an obstacle D in inverse scattering. The main idea of the method is to use probes in the form of point source $\Phi(\cdot,z)$ with source point z to define an indicator function $\hat{I}(z)$ which can be reconstructed from Cauchy data or far
Klaus Erhard, Roland Potthast
openaire   +2 more sources

Numerical Optimization Methods in Economics [PDF]

open access: yes, 2008
Optimization problems are ubiquitous in economics. Many of these problems are sufficiently complex that they cannot be solved analytically. Instead economists need to resort to numerical methods. This article presents the most commonly used methods for both unconstrained and constrained optimization problems in economics; it emphasizes the solid ...
openaire   +2 more sources

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