Results 101 to 110 of about 96,341 (238)

Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings [PDF]

open access: yesarXiv, 2010
Using multiple Bernoulli series, we give a formula in the spirit of Euler MacLaurin formula. We also give a wall crossing formula and a decomposition formula. The study of these series is motivated by formulae of E.Witten for volumes of moduli spaces of flat bundles over a surface.
arxiv  

Philosophical Properites of Euler's Formula in its Application to Symbolic Representation of Some Aspects of Ruminant Agriculture [PDF]

open access: bronze, 2003
Masataka Shimojo   +10 more
openalex   +1 more source

Analysis of Cuttings Transport in Small‐Bore Horizontal Wells Considering Drill String Eccentricity

open access: yesEnergy Science &Engineering, EarlyView.
Annular debris volume fraction distribution cloud image at different annular return velocity. ABSTRACT The narrow annulus in small‐bore horizontal wells causes marked differences in cuttings transport compared to conventional horizontal wells. To address this issue, a CFD‐based numerical model for solid‐liquid two‐phase flow in the annulus was ...
An Jintao   +7 more
wiley   +1 more source

Lê-Greuel type formula for the Euler obstruction and applications [PDF]

open access: yesAdvances in Mathematics 251 (2014) 127-146, 2011
The Euler obstruction of a function can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a function, we give a version of the L\^e-Greuel formula for two germs of analytic functions with isolated singularity at the origin on a singular space. Using this formula and
arxiv  

Multiplication Formulas for the Elliptic Gamma Function [PDF]

open access: yesarXiv, 2002
The elliptic gamma function is a generalization of the Euler gamma function. Its trigonometric and rational degenerations are the Jackson q-gamma function and the Euler gamma function. We prove multiplication formulas for the elliptic gamma function, whose degenerations are the Gauss-Askey multiplication formula for the Euler and trigonometric gamma ...
arxiv  

Non‐Hydrostatic Model for Simulating Moving Bottom‐Generated Waves: A Shallow Water Extension With Quadratic Vertical Pressure Profile

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

Generation of logic designs for efficiently solving ordinary differential equations on field programmable gate arrays

open access: yesSoftware: Practice and Experience, Volume 53, Issue 1, Page 27-52, January 2023., 2023
Abstract Ordinary differential equations can be used to describe simulation models. As such, solving these equations is an important task in the high performance computing (HPC) domain. Field programmable gate arrays (FPGAs) are a promising platform, expected to be usable as efficient accelerators for such computations.
Silas Bartel, Matthias Korch
wiley   +1 more source

The Weighted Euler-Maclaurin Formula for a simple integral polytope [PDF]

open access: yesarXiv, 2004
We give an Euler-Maclaurin formula with remainder for the weighted sum of the values of a smooth function on the integral points in a simple integral polytope. Our work generalizes the formula obtained by Karshon, Sternberg and Weitsman in the ''Euler-Maclaurin with remainder for a simple integral polytope''.
arxiv  

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