Results 151 to 160 of about 677,938 (298)

A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves

International Journal for Numerical Methods in Fluids, EarlyView.
We present a high‐order accurate CFD model for simulating nonlinear water waves using the incompressible Navier–Stokes equations. The model employs a combined Chebyshev–Fourier basis for efficient spatial discretization, and a low‐storage fourth‐order Runge–Kutta method for temporal integration. A Poisson pressure problem is solved using a geometric p$$
Anders Melander, Max Ebstrup Bitsch, Dong Chen, Allan Peter Engsig‐Karup   +3 more
wiley   +1 more source

A sectional curvature for statistical structures [PDF]

arXiv, 2015
A new type of sectional curvature is introduced. The notion is purely algebraic and can be located in linear algebra as well as in differential geometry.
arxiv  

Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]

, 1998
Jonathan Gratus
openalex   +1 more source

Differential Graded Schemes II: The 2-category of Differential Graded Schemes [PDF]

arXiv, 2002
We construct a 2-category of differential graded schemes. The local affine models in this theory are differential graded algebras, which are graded commutative with unit over a field of characteristic zero, are concentrated in non-positive degrees and have perfect cotangent complex.
arxiv  

Differential Chow Form for Projective Differential Variety

, 2011
In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d>0 and order h with a generic projective differential ...
Gao, Xiao-Shan, Li, Wei
core  

Analysis of image formation in optical palpation

Journal of Biophotonics, EarlyView.
Optical palpation is an emerging elastography technique that generates images of mechanical stress at the tissue surface, with applications in intraoperative cancer detection. Image formation is simulated using finite element analysis and validated with experiments on silicone phantoms, providing an analysis of trends in detectability, feature ...
R. Jones, Q. Fang, B. F. Kennedy
wiley   +1 more source

Commutative Algebras of Ordinary Differential Operators with Matrix Coefficients [PDF]

arXiv, 1996
A classification of commutative integral domains consisting of ordinary differential operators with matrix coefficients is established in terms of morphisms between algebraic curves.
arxiv  

What is... Random Algebraic Geometry? [PDF]

arXiv
We survey some ideas from the subject of Random Algebraic Geometry, a field that introduces a probabilistic perspective on classical topics in real algebraic geometry. This offers a modern approach to classical problems, such as Hilbert's Sixteenth Problem.
arxiv  

A Riemann-Roch formula for traces of algebraic differential operators [PDF]

arXiv, 2011
We obtain a trace formula for algebraic differential operators which the corresponding analytic results have been proved by M.
arxiv  

Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry

Journal of Combinatorial Designs, EarlyView.
ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
wiley   +1 more source