130 research outputs found
F21RS SGR No. 16 (Ag parking lot)
A Resolution
To Urge and Request LSU Parking and Transportation Services to rezone the Parker Coliseum Ag Parking Lot from a residential parking lot to Zone X parking lo
A Finite Element Model for Two-Dimensional Steady Flow Through Contractions in Natural Channels.
F21RS SGR No. 19 (1st parking violation)
A Resolution
To Urge and Request LSU Parking and Transportation to adopt the policy that the LSU Community may have their first parking violation voided from record, excluding fines for parking in ADA spaces and other specified violations and making this policy known to the LSU community by including it on the P&T website and Rules and Regulation
Chaos and convergence of a family generalizing Homeier's method with damping parameters
[EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials of the resulting family is studied in order to choose those values of the parameter that ensure stable behavior. To get this aim, the analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allow us to find members of this class with good numerical properties and also other ones with pathological conduct. To check the stable behavior of the good selected ones, the discretized planar 1D-Bratu problem is solved. Some of those chosen members of the family achieve good results when Homeier's scheme fails.This research was supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P.Cordero Barbero, A.; Franques, A.; Torregrosa SĂĄnchez, JR. (2016). Chaos and convergence of a family generalizing Homeier's method with damping parameters. Nonlinear Dynamics. 85(3):1939-1954. https://doi.org/10.1007/s11071-016-2807-0S19391954853Amat, S., Busquier, S., BermĂșdez, C., Magreñån, Ă.A.: On the election of the damped parameter of a two-step relaxed Newton-type method. Nonlinear Dyn. doi: 10.1007/s11071-015-2179-xAmat, S., Busquier, S., BermĂșdez, C., Plaza, S.: On two families of high order Newton type methods. Appl. Math. Lett. 25, 2209â2217 (2012)Amat, S., Busquier, S., Plaza, S.: Review of some iterative root-finding methods from a dynamical point of view. Sci. Ser. A Math. Sci. 10, 3â35 (2004)Babajee, D.K.R., Cordero, A., Torregrosa, J.R.: Study of iterative methods through the Cayley Quadratic Test. J. Comput. Appl. Math. 291, 358â369 (2016)Babajee, D.K.R., Thukral, R.: On a 4-point sixteenth-order king family of iterative methods for solving nonlinear equations. Int. J. Math. Math. Sci. 2012, ID 979245, 13 (2012)Blanchard, P.: Complex analytic dynamics on the Riemann sphere. Bull. AMS 11(1), 85â141 (1984)Blanchard, P.: The dynamics of Newtonâs method. Proc. Symp. Appl. Math. 49, 139â154 (1994)Boyd, J.P.: One-point pseudospectral collocation for the one-dimensional Bratu equation. Appl. Math. Comput. 217, 5553â5565 (2011)Bratu, G.: Sur les equation integrals non-lineaires. Bull. Math. Soc. Fr. 42, 113â142 (1914)Chicharro, F., Cordero, A., Torregrosa, J.R.: Drawing dynamical and parameter planes of iterative families and methods. Sci. World J. 2013, Article ID 780153 (2013)Chun, C., Lee, M.Y.: A new optimal eighth-order family of iterative methods for the solution of nonlinear equations. Appl. Math. Comput. 223, 506â519 (2013)Cordero, A., GarcĂa-MaimĂł, J., Torregrosa, J.R., Vassileva, M.P., Vindel, P.: Chaos in Kingâs iterative family. Appl. Math. Lett. 26, 842â848 (2013)Cordero, A., Torregrosa, J.R.: Variants of Newtonâs method using fifth-order quadrature formulas. Appl. Math. Comput. 190, 686â698 (2007)Cordero, A., Torregrosa, J.R., Vindel, P.: Dynamics of a family of ChebyshevâHalley type method. Appl. Math. Comput. 219, 8568â8583 (2013)Fatou, P.: Sur les Ă©quations fonctionnelles. Bull. Soc. Math. Fr. 47, 161â271 (1919); 48, 33â94; 208â314 (1920)Gelfand, I.M.: Some problems in the theory of quasi-linear equations. Transl. Am. Math. Soc. Ser. 2, 295â381 (1963)GutiĂ©rrez, J.M., HernĂĄndez, M.A., Romero, N.: Dynamics of a new family of iterative processes for quadratic polynomials. J. Comput. Appl. Math. 233, 2688â2695 (2010)Homeier, H.H.H.: On Newton-type methods with cubic convergence. J. Comput. Appl. Math. 176, 425â432 (2005)Jacobsen, J., Schmitt, K.: The LiouvilleâBratuâGelfand problem for radial operators. J. Differ. Equ. 184, 283â298 (2002)Jalilian, R.: Non-polynomial spline method for solving Bratuâs problem. Comput. Phys. Commun. 181, 1868â1872 (2010)Julia, G.: MĂ©moire sur lâiteration des fonctions rationnelles. J. Math. Pure Appl. 8, 47â245 (1918)Magreñån, Ă.A.: Different anomalies in a Jarratt family of iterative root-finding methods. Appl. Math. Comput. 233, 29â38 (2014)Mohsen, A.: A simple solution of the Bratu problem. Comput. Math. Appl. 67, 26â33 (2014)Neta, B., Chun, C., Scott, M.: Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equation. Appl. Math. Comput. 227, 567â592 (2014)Ostrowski, A.M.: Solution of Equations and Systems of Equations. Academic Press, New York (1960)PetkoviÄ, M., Neta, B., PetkoviÄ, L.D., DĆŸuniÄ, J.: Multipoint Methods for Solving Nonlinear Equations. Academic Press, Amsterdam (2013)Scott, M., Neta, B., Chun, C.: Basin attractors for various methods. Appl. Math. Comput. 218, 2584â2599 (2011)Sharma, J.R.: Improved ChebyshevâHalley method with sixth and eighth order of convergence. Appl. Math. Comput. 256, 119â124 (2015)Varona, J.L.: Graphic and numerical comparison between iterative methods. Math. Intell. 24, 37â46 (2002)Wan, Y.Q., Guo, Q., Pan, N.: Thermo-electro-hydrodynamic model for electrospinning process. Int. J. Nonlinear Sci. Numer. Simul. 5, 5â8 (2004
Octodrine: New Questions and Challenges in Sport Supplements
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).Background: Octodrine is the trade name for Dimethylhexylamine (DMHA), a central nervous stimulant that increases the uptake of dopamine and noradrenaline. Originally developed as a nasal decongestant in the 1950âs, it has recently been re-introduced on the market as a pre-workout and âfat-burnerâ product but its use remains unregulated. Our work provides the first observational cross-sectional analytic study on Octodrine as a new drug trend and its associated harms after a gap spanning seven decades. Methods: A comprehensive multilingual assessment of literature, websites, drug fora and other online resources was carried out with no time restriction in English, German, Russian and Arabic. Keywords included Octodrineâs synonyms and chemical isomers. Results: Only five relevant publications emerged from the literature search, with most of the available data on body building websites and fora. Since 2015, Octodrine has been advertised online as âthe next big thingâ and âthe god of stimulants,â with captivating marketing strategies directed at athletes and a wider cohort of users. Reported side-effects include hypertension, dyspnoea and hyperthermia. Conclusions: The uncontrolled use of Octodrine, its physiological and psychoactive effects raise serious health implications with possible impact on athletes and doping practices. This new phenomenon needs to be thoroughly studied and monitored.Peer reviewe
F21RS SGR No. 5 (Memorial Day)
A Resolution
To Urge and Request LSU Faculty to not hold University classes on Memorial Da
Engineer the Channel and Adapt to it: Enabling Wireless Intra-Chip Communication
Ubiquitous multicore processors nowadays rely on an integrated
packet-switched network for cores to exchange and share data. The performance
of these intra-chip networks is a key determinant of the processor speed and,
at high core counts, becomes an important bottleneck due to scalability issues.
To address this, several works propose the use of mm-wave wireless
interconnects for intra-chip communication and demonstrate that, thanks to
their low-latency broadcast and system-level flexibility, this new paradigm
could break the scalability barriers of current multicore architectures.
However, these same works assume 10+ Gb/s speeds and efficiencies close to 1
pJ/bit without a proper understanding on the wireless intra-chip channel. This
paper first demonstrates that such assumptions do not hold in the context of
commercial chips by evaluating losses and dispersion in them. Then, we leverage
the system's monolithic nature to engineer the channel, this is, to optimize
its frequency response by carefully choosing the chip package dimensions.
Finally, we exploit the static nature of the channel to adapt to it, pushing
efficiency-speed limits with simple tweaks at the physical layer. Our methods
reduce the path loss and delay spread of a simulated commercial chip by 47 dB
and 7.3x, respectively, enabling intra-chip wireless communications over 10
Gb/s and only 3.1 dB away from the dispersion-free case.Comment: 12 pages, 10 figures. IEEE Transactions on Communications Journal,
202
Millimeter-wave propagation within a computer chip package
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Wireless Network-on-Chip (WNoC) appears as a promising alternative to conventional interconnect fabrics for chip-scale communications. The WNoC paradigm has been extensively analyzed from the physical, network and architecture perspectives assuming mmWave band operation. However, there has not been a comprehensive study at this band for realistic chip packages and, thus, the characteristics of such wireless channel remain not fully understood. This work addresses this issue by accurately modeling a flip-chip package and investigating the wave propagation inside it. Through parametric studies, a locally optimal configuration for 60 GHz WNoC is obtained, showing that chip-wide attenuation below 32.6 dB could be achieved with standard processes. Finally, the applicability of the methodology is discussed for higher bands and other integrated environments such as a Software-Defined Metamaterial (SDM).Peer ReviewedPostprint (author's final draft
Engineer the channel and adapt to it: enabling wireless intra-chip communication
© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.The authors gratefully acknowledge support from the Spanish MINECO under grant PCIN-2015-012, from the EUâs H2020 FET-OPEN program under grants No. 736876 and No. 863337, and by the Catalan Institution for Research and Advanced Studies (ICREA).Peer ReviewedPostprint (author's final draft
- âŠ