A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
The International Conference MATHEMATICAL AND COMPUTATIONAL MODELLING IN SCIENCE AND TECHNOLOGY

2017
*
Journal of Computational and Applied Mathematics
*

Main results In this paper, we use a stochastic comparaison

doi:10.1016/j.cam.2016.08.013
fatcat:mcmx2fnpkbeztpweuwk6ugyluu
*approach**to*establish insensitive bounds for some performance measures of*an*M /G/1 Bernoulli feedback retrial queueing system with negative ... The method consists*to*use some fundamental functions in order*to*obtain*an*estimation of*an*arithmetical function f . ... X is a Noether point symmetry corresponding*to**Lagrangian*of the system of*differential**equations*Keywords : Noether theory; first*integral*; λ-symmetry;*integrating*factor; invariant solution. 2010 ...##
###
Numerical Approaches to Fractional Integrals and Derivatives: A Review

2020
*
Mathematics
*

The present paper focuses on numerical approximations

doi:10.3390/math8010043
fatcat:vebgijgznrfm5gkvtzmnlw5vqa
*to*fractional*integrals**and*derivatives. Almost all the results in this respect are included. ... Fractional calculus, albeit a synonym of fractional*integrals**and*derivatives which have two main characteristics—singularity*and*nonlocality— has attracted increasing interest due*to*its potential applications ... Acknowledgments: The authors wish*to*thank Prof Yuri Luchko for his cordial invitation. Conflicts of Interest: The authors declare no conflict of interest. ...##
###
Fourier's Method of Linear Programming and Its Dual

1986
*
The American mathematical monthly
*

, but in this section
45Jxx

doi:10.2307/2322281
fatcat:yvhgyh2epbcwdoqdhuaopkcrue
*Integro*-ordinary*differential**equations*[See also 34K05, 34K30, 47G20] 45J05*Integro*-ordinary*differential**equations*[See also 34K05, 34K30, 47G20] 45J99 None of the ... above, but in this section 45Kxx*Integro*-partial*differential**equations*[See also 34K30, 35R09, 35R10, 47G20] 45K05*Integro*-partial*differential**equations*[See also 34K30, 35R09, 35R10, 47G20] ... experimental questions 83B05 Observational*and*experimental questions 83B99 None of the above, but in this section 83Cxx General relativity 83C05 Einstein's*equations*(general structure, canonical formalism ...##
###
A GODUNOV METHOD FOR MULTIDIMENSIONAL RADIATION MAGNETOHYDRODYNAMICS BASED ON A VARIABLE EDDINGTON TENSOR

2012
*
Astrophysical Journal Supplement Series
*

We describe a numerical algorithm

doi:10.1088/0067-0049/199/1/14
fatcat:ey7trqzv5rdy7pdbsld76ofdte
*to**integrate*the*equations*of radiation magnetohydrodynamics in multidimensions using Godunov methods. ... tests of photon bubble instability*and*the ablation of dense clouds by*an*intense radiation field. ... ACKNOWLEDGEMENTS We thank Aristotle Socrates*and*Jeremy Goodman for helpful discussions on the properties of linear waves in radiation hydrodynamics*and*MHD. Y.-F. ...##
###
A TWO-MOMENT RADIATION HYDRODYNAMICS MODULE INATHENAUSING A TIME-EXPLICIT GODUNOV METHOD

2013
*
Astrophysical Journal Supplement Series
*

We use a combination of explicit Godunov methods

doi:10.1088/0067-0049/206/2/21
fatcat:ernaqsbfcbgsnnylwdnvcdh5li
*to*advance the gas*and*radiation variables including the non-stiff source terms,*and*a local implicit method*to**integrate*the stiff source terms. ... We describe a module for the Athena code that solves the gray*equations*of radiation hydrodynamics (RHD), based on the first two moments of the radiative transfer*equation*. ... Furthermore, any*approach*that introduces advected before being absorbed or vice-versa; hence, the a spatial*differential*operator*to*the right-hand side*differential*operators commute exactly,*and*...##
###
Dynamics of gravitational clustering

2002
*
Astronomy and Astrophysics
*

Over the range -1<n<1 some shell-crossing occurs (which leads

doi:10.1051/0004-6361:20011673
fatcat:ivp3jchkpjcilfsqrhelduz4w4
*to*the break-up of perturbative*approaches*) but this does not invalidate our*approach*. ... In particular, we explain that we can still obtain*an*approximation for the low-density tail of the pdf. ... Next,*differentiating*both sides of Eq. (92) with respect*to*ψ we obtain*an**Abel**integral**equation*which can be inverted as (Binney & Tremaine 1987) : f (E) = 1 √ 8π 2 d dE E 0 dψ 1 √ E − ψ dρ dψ · (93 ...##
###
Gyrokinetic simulations of fusion plasmas using a spectral velocity space representation
[article]

2016
*
arXiv
*
pre-print

We implement these ideas in SpectroGK,

arXiv:1603.04727v1
fatcat:s4nxm6f3ibhy3kcpb75daqnycy
*an**efficient*parallel code. ... Instead, strongly magnetised fusion plasmas are described by the gyrokinetic*equations*, a nonlinear*integro*-*differential*system for evolving the particle distribution functions in a five-dimensional position ... Both expansions convert*an**integro*-*differential*kinetic*equation*into*an*infinite hierarchy of partial*differential**equations*in x*and*t for the expansion coefficients. ...##
###
Index: Volumes 21-30

1971
*
Proceedings of the American Mathematical Society
*

IP IP IP 2S IS IP IP IP 2P IS IP IP IP 2P IP 3P IS 2S IP IS IP IP IP 4P IP IP 2P 3P IP IP 2P IS IS 4P 4P 2P IS 54D25 spaces "P-minimal"

doi:10.1090/s0002-9939-71-99972-2
fatcat:fh3qmht755dope6cfo3csgim2i
*and*"P-closed" Stecker ... posed problems 65M99 None of the above, but in this section 65R05*Integral**and**integro*-*differential**equations*65S05 Graphical methods 65T05 Harmonic analysis*and*synthesis 68-XX COMPUTER ... elliptic*differential**equation*near*an*with Barth, K. ...##
###
Five-brane thresholds and membrane instantons in four-dimensional heterotic M-theory

2006
*
Nuclear Physics B
*

*and*the S^1/Z_2 fixed hyperplanes. ... For each brane, one of these fields corresponds

*to*fluctuations along the interval. ... Alice

*and*little Fabio for let me sleep enough

*to*be able

*to*work. . . This work was partially supported by the Swiss national fund (FNS). Acknowledgements ...

##
###
Common features in the thermoacoustics of flames and engines

2017
*
International Journal of Spray and Combustion Dynamics
*

Thermoacoustic phenomena generated inadvertently during combustion,

doi:10.1177/1756827717743911
fatcat:5vz4sn67qvdtpp4i3jjcwu3f7i
*and*those produced by heating*and*cooling material*to*generate a temperature gradient, have mostly been studied independently. ... This paper seeks*to*remedy this by reviewing the two subjects alongside one another, by comparing*and*contrasting them where possible. ... This is probably due*to*the fact that, in the time domain, Rott's*equations*become*integro*-*differential**equations*which are complicated*to*solve. ...##
###
GENASIS: GENERAL ASTROPHYSICAL SIMULATION SYSTEM. I. REFINABLE MESH AND NONRELATIVISTIC HYDRODYNAMICS

2014
*
Astrophysical Journal Supplement Series
*

of the HLLC relative

doi:10.1088/0067-0049/210/2/17
fatcat:qaq2slmqfzg47dgr3kyyaw2g3m
*to*the HLL Riemann solver in a number of interesting cases,*and*provide preliminary indications of the code's ability*to*scale*and**to*function with cell-by-cell fixed-mesh refinement ... GenASiS (General Astrophysical Simulation System) is a new code being developed initially*and*primarily, though by no means exclusively, for the simulation of core-collapse supernovae on the world's leading ... That the relevant theory is described by time-dependent partial (*and*sometimes*integro*-)*differential**equations*implies the need for synchronous evolution*and*communication between different regions of ...##
###
Unraveling hadron structure with generalized parton distributions

2005
*
Physics reports
*

The ultimate goal of the GPD

doi:10.1016/j.physrep.2005.06.002
fatcat:q4jltvrztvg7tnchzvwrwhiokm
*approach*is*to*provide a three-dimensional spatial picture of the nucleon, direct measurement of the quark orbital angular momentum,*and*various inter-*and*multi-parton correlations ... We give*an*extensive review of main achievements in the development of this formalism. ... We are honored*to*dedicate this paper*to*Anatoly Vasilievich Efremov, our Teacher, who taught us his*approach**to*physical phenomena*and*guided our first steps in physics. ...##
###
Dispersive shock waves and modulation theory

2016
*
Physica D : Non-linear phenomena
*

Both the macroscopic

doi:10.1016/j.physd.2016.04.006
fatcat:vkzjpzuapjbvding7pnregk7bu
*and*microscopic properties of DSWs are analyzed in detail within the context of the universal,*integrable*,*and*foundational models for uni-directional (Korteweg-de Vries*equation*) ...*and*bi-directional (Nonlinear Schrödinger*equation*) dispersive hydrodynamics. ... Acknowledgements This work was supported by the Royal Society International Exchanges Scheme IE131353 (both authors)*and*NSF CAREER DMS-1255422 (MAH). ...##
###
Some Fundamental Theorems in Mathematics
[article]

2022
*
arXiv
*
pre-print

*An*expository hitchhikers guide

*to*some theorems in mathematics. ... Note that while X t is

*an*infinite dimensional ordinary

*differential*

*equations*evolving maps M → T * N, the path P t is

*an*

*integro*

*differential*

*equation*describing the evolution of measures on T * N. ... See [491, 110, 45]

*Differential*

*equations*Let us say that a

*differential*

*equation*x ′ (t) = F (x(t)) is

*integrable*if a trajectory x(t) either converges

*to*infinity, or

*to*

*an*equilibrium point or

*to*...

##
###
Astrophysical magnetic fields and nonlinear dynamo theory

2005
*
Physics reports
*

Central

doi:10.1016/j.physrep.2005.06.005
fatcat:az7ztcpcrfgdtiiixhayhfqmh4
*to*the discussion of large scale dynamos is the so-called alpha effect which explains the generation of a mean field if the turbulence lacks mirror symmetry, i.e. if the flow has kinetic helicity ... Analytic*and*numerical results are discussed both for small scale dynamos, which are completely isotropic,*and*for large scale dynamos, where some form of parity breaking is crucial. ... Acknowledgements We thank Rainer Beck, Eric Blackman, Leonid Kitchatinov, David Moss, Karl-Heinz Rädler, Günther Rüdiger,*and*Anvar Shukurov for discussions, detailed comments*and*corrections*to*earlier ...
« Previous

*Showing results 1 — 15 out of 25 results*