Results 121 to 130 of about 2,218,762 (336)

Approximate Gaussian Elimination for Laplacians: Fast, Sparse, and Simple

, 2016
We show how to perform sparse approximate Gaussian elimination for Laplacian matrices. We present a simple, nearly linear time algorithm that approximates a Laplacian by a matrix with a sparse Cholesky factorization, the version of Gaussian elimination ...
Kyng, Rasmus, Sachdeva, Sushant
core   +1 more source

Largest Eigenvalue of the Laplacian Matrix

, 2015
Following an editorial request, this is the second part of the article originally available in arxiv:1405.4880v1, corresponding to Section 6 of that manuscript. Several clarification comments and improvements to the original exposition were added, and the introduction and background materials are new. No new mathematical content was added.
openaire   +2 more sources

Non‐Markovian Quantum Kinetic Simulations of Uniform Dense Plasmas: Mitigating the Aliasing Problem

Contributions to Plasma Physics, EarlyView.
ABSTRACT Dense quantum plasmas out of equilibrium are successfully modeled using quantum kinetic equations, such as the quantum Boltzmann, Landau, or Balescu–Lenard equation. However, these equations do not properly take into account correlation effects, which require the use of generalized non‐Markovian kinetic equations.
C. Makait, M. Bonitz
wiley   +1 more source

Universal Adjacency Matrices with Two Eigenvalues [PDF]

AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Haemers, W.H., Omidi, G.R.
core   +1 more source

Primer for the algebraic geometry of sandpiles [PDF]

, 2011
The Abelian Sandpile Model (ASM) is a game played on a graph realizing the dynamics implicit in the discrete Laplacian matrix of the graph. The purpose of this primer is to apply the theory of lattice ideals from algebraic geometry to the Laplacian ...
Perkinson, David, Perlman, Jacob, Wilmes, John   +2 more
core  

Damage modeling of CO2 injection well interfaces under coupled thermal, hydraulic and mechanical behavior

Deep Underground Science and Engineering, EarlyView.
This paper presents an investigation of CO2 injection well damage evolution considering different injection temperatures and the presence of a pre‐existing defect. The main outcome is that the accurate prediction of well leakage risk requires characteristics such as initial defects to be understood and represented in any modeling efforts. Abstract This
Lee J. Hosking, Xiangming Zhou
wiley   +1 more source

Strongly Regular Graphs as Laplacian Extremal Graphs [PDF]

, 2014
The Laplacian spread of a graph is the difference between the largest eigenvalue and the second-smallest eigenvalue of the Laplacian matrix of the graph.
Lin, Fan-Hsuan, Weng, Chih-wen
core  

Combining non-negative matrix factorization with graph Laplacian regularization for predicting drug-miRNA associations based on multi-source information fusion [PDF]

, 2023
Mei-Neng Wang, Yu Li, Li-Lan Lei, Dewu Ding, Xue-Jun Xie   +4 more
openalex   +1 more source

Dielectrophoresis Tutorial: Inspired by Hatfield's 1924 Patent and Boltzmann's Theory and Experiments of 1874

ELECTROPHORESIS, EarlyView.
ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley   +1 more source

On the Signless Laplacian ABC-Spectral Properties of a Graph

Mathematics
In the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G.
Bilal A. Rather, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +1 more source