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Journal articles on the topic 'Scalar Linear Codes'

Author: Grafiati

Published: 6 September 2023

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1

Connelly, Joseph, and Kenneth Zeger. "Linear Network Coding Over Rings – Part I: Scalar Codes and Commutative Alphabets." IEEE Transactions on Information Theory 64, no. 1 (2018): 274–91. http://dx.doi.org/10.1109/tit.2017.2697421.

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2

Etzion, Tuvi, and Antonia Wachter-Zeh. "Vector Network Coding Based on Subspace Codes Outperforms Scalar Linear Network Coding." IEEE Transactions on Information Theory 64, no. 4 (2018): 2460–73. http://dx.doi.org/10.1109/tit.2018.2797183.

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3

Ross, Molly, and Hitesh Bindra. "Statistical Mechanics-Based Surrogates for Scalar Transport in Channel Flow." Fluids 6, no. 2 (2021): 79. http://dx.doi.org/10.3390/fluids6020079.

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Thermal hydraulics, in certain components of nuclear reactor systems, involve complex flow scenarios, such as flows assisted by free jets and stratified flows leading to turbulent mixing and thermal fluctuations. These complex flow patterns and thermal fluctuations can be extremely critical from a reactor safety standpoint. The component-level lumped approximations (0D) or one-dimensional approximations (1D) models for such components and subsystems in safety analysis codes cannot capture the physics accurately, and may introduce a large degree of modeling uncertainty. On the other hand, high-

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4

Thomas, Anoop, and Balaji Sundar Rajan. "Generalized Index Coding Problem and Discrete Polymatroids." Entropy 22, no. 6 (2020): 646. http://dx.doi.org/10.3390/e22060646.

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The connections between index coding and matroid theory have been well studied in the recent past. Index coding solutions were first connected to multi linear representation of matroids. For vector linear index codes, discrete polymatroids, which can be viewed as a generalization of the matroids, were used. The index coding problem has been generalized recently to accommodate receivers that demand functions of messages and possess functions of messages. In this work we explore the connections between generalized index coding and discrete polymatroids. The conditions that need to be satisfied b

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5

Nesseris, Savvas. "The Effective Fluid Approach for Modified Gravity and Its Applications." Universe 9, no. 1 (2022): 13. http://dx.doi.org/10.3390/universe9010013.

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In this review, we briefly summarize the so-called effective fluid approach, which is a compact framework that can be used to describe a plethora of different modified gravity models as general relativity (GR) and a dark energy (DE) fluid. This approach, which is complementary to the cosmological effective field theory, has several benefits, as it allows for the easier inclusion of most modified gravity models into the state-of-the-art Boltzmann codes that are typically hard-coded for GR and DE. Furthermore, it can also provide theoretical insights into their behavior since in linear perturbat

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6

Kim, Dohyun, Jong-Hoon Ahn, Jongshill Lee, Hoon Ki Park, and In Young Kim. "A Linear Transformation Approach for Estimating Pulse Arrival Time." Journal of Applied Mathematics 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/643653.

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We propose a new mathematical framework for estimating pulse arrival time (PAT). Existing methods of estimating PAT rely on local characteristic points or global parametric models: local characteristic point methods detect points such as foot points, max points, or max slope points, while global parametric methods fit a parametric form to the anacrotic phase of pulse signals. Each approach has its strengths and weaknesses; we take advantage of the favorable properties of both approaches in our method. To be more precise, we transform continuous pulse signals into scalar timing codes through th

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7

Hou, Junsheng, Robert K. Mallan, and Carlos Torres-Verdín. "Finite-difference simulation of borehole EM measurements in 3D anisotropic media using coupled scalar-vector potentials." GEOPHYSICS 71, no. 5 (2006): G225—G233. http://dx.doi.org/10.1190/1.2245467.

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This paper describes the implementation and successful validation of a new staggered-grid, finite-difference algorithm for the numerical simulation of frequency-domain electromagnetic borehole measurements. The algorithm is based on a coupled scalar-vector potential formulation for arbitrary 3D inhomogeneous electrically anisotropic media. We approximate the second-order partial differential equations for the coupled scalar-vector potentials with central finite differences on both Yee’s staggered and standard grids. The discretization of the partial differential equations and the enforcement o

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8

Bavier, Eric, Mark Hoemmen, Sivasankaran Rajamanickam, and Heidi Thornquist. "Amesos2 and Belos: Direct and Iterative Solvers for Large Sparse Linear Systems." Scientific Programming 20, no. 3 (2012): 241–55. http://dx.doi.org/10.1155/2012/243875.

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Solvers for large sparse linear systems come in two categories: direct and iterative. Amesos2, a package in the Trilinos software project, provides direct methods, and Belos, another Trilinos package, provides iterative methods. Amesos2 offers a common interface to many different sparse matrix factorization codes, and can handle any implementation of sparse matrices and vectors, via an easy-to-extend C++ traits interface. It can also factor matrices whose entries have arbitrary “Scalar” type, enabling extended-precision and mixed-precision algorithms. Belos includes many different iterative me

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9

Fowler, Paul J., Xiang Du, and Robin P. Fletcher. "Coupled equations for reverse time migration in transversely isotropic media." GEOPHYSICS 75, no. 1 (2010): S11—S22. http://dx.doi.org/10.1190/1.3294572.

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Reverse time migration (RTM) images reflectors by using time-extrapolation modeling codes to synthesize source and receiver wavefields in the subsurface. Asymptotic analysis of wave propagation in transversely isotropic (TI) media yields a dispersion relation describing coupled P- and SV-wave modes. This dispersion relation can be converted into a fourth-order scalar partial differential equation (PDE). Increased computational efficiency can be achieved using equivalent coupled second-order PDEs. Analysis of the corresponding dispersion relations as matrix eigenvalue systems allows one to char

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10

Caravano, Angelo, Eiichiro Komatsu, Kaloian D. Lozanov, and Jochen Weller. "Lattice simulations of inflation." Journal of Cosmology and Astroparticle Physics 2021, no. 12 (2021): 010. http://dx.doi.org/10.1088/1475-7516/2021/12/010.

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Abstract The scalar field theory of cosmological inflation constitutes nowadays one of the preferred scenarios for the physics of the early universe. In this paper we aim at studying the inflationary universe making use of a numerical lattice simulation. Various lattice codes have been written in the last decades and have been extensively used for understating the reheating phase of the universe, but they have never been used to study the inflationary phase itself far from the end of inflation (i.e. about 50 e-folds before the end of inflation). In this paper we use a lattice simulation to rep

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11

Lepori, Francesca, Julian Adamek, and Ruth Durrer. "Cosmological simulations of number counts." Journal of Cosmology and Astroparticle Physics 2021, no. 12 (2021): 021. http://dx.doi.org/10.1088/1475-7516/2021/12/021.

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Abstract In this paper we present for the first time the angular power spectra C ℓ(z,z') for number counts from relativistic N-body simulations. We use the relativistic N-body code gevolution with its exact integration of lightlike geodesics which include all relativistic scalar contributions to the number counts. We compare our non-perturbative numerical results with the results from class using the hmcode approximation for the non-linear matter power spectrum. We find that this simple description is excellent for both, the density and the convergence. On the other hand, the current implement

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12

Brando, Guilherme, Kazuya Koyama, and Hans A. Winther. "Revisiting Vainshtein screening for fast N-body simulations." Journal of Cosmology and Astroparticle Physics 2023, no. 06 (2023): 045. http://dx.doi.org/10.1088/1475-7516/2023/06/045.

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Abstract We revisit a method to incorporate the Vainshtein screening mechanism in N-body simulations proposed by R. Scoccimarro in [1]. We further extend this method to cover a subset of Horndeski theories that evade the bound on the speed of gravitational waves set by the binary neutron star merger GW170817. The procedure consists of the computation of an effective gravitational coupling that is time and scale dependent, G eff (k,z), where the scale dependence will incorporate the screening of the fifth-force. This is a fast procedure that when contrasted to the alternative of solving the ful

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13

Aboutorabian, Elham, and Morteza Raissi Dehkordi. "New Extended Quantitative Local and Global Regularity Index for Single- and Multiframe RC Bridges Based on Modal Vector Correlation." Shock and Vibration 2021 (June 25, 2021): 1–17. http://dx.doi.org/10.1155/2021/6860335.

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Seismic demand and performance of bridges are highly dependent upon the level of irregularity. Although previous studies have proposed methodologies so as to quantify the irregularity of the bridges in terms of global regularity index, it still remains unclear how to determine the distribution of irregularity along a bridge, as well as to discover the irregularity sources. This research project is intended to develop a quantitative vector regularity criterion for single- and multiframe bridges based on the modified correlation function for spatial locations of scaled mode shapes of deck-alone

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14

Hunana, P., T. Passot, E. Khomenko, et al. "Generalized Fluid Models of the Braginskii Type." Astrophysical Journal Supplement Series 260, no. 2 (2022): 26. http://dx.doi.org/10.3847/1538-4365/ac5044.

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Abstract Several generalizations of the well-known fluid model of Braginskii (1965) are considered. We use the Landau collisional operator and the moment method of Grad. We focus on the 21-moment model that is analogous to the Braginskii model, and we also consider a 22-moment model. Both models are formulated for general multispecies plasmas with arbitrary masses and temperatures, where all of the fluid moments are described by their evolution equations. The 21-moment model contains two “heat flux vectors” (third- and fifth-order moments) and two “viscosity tensors” (second- and fourth-order

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15

Cacuci, Dan Gabriel. "The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (nth-CASAM-L): I. Mathematical Framework." Energies 14, no. 24 (2021): 8314. http://dx.doi.org/10.3390/en14248314.

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This work presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as “nth-CASAM-L”), which is conceived for obtaining the exact expressions of arbitrarily-high-order (nth-order) sensitivities of a generic system response with respect to all of the parameters (including boundary and initial conditions) underlying the respective forward/adjoint systems. Since many of the most important responses for linear systems involve the solutions of both the forward and the adjoint linear mo

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16

Tritschler, V. K., B. J. Olson, S. K. Lele, S. Hickel, X. Y. Hu, and N. A. Adams. "On the Richtmyer–Meshkov instability evolving from a deterministic multimode planar interface." Journal of Fluid Mechanics 755 (August 19, 2014): 429–62. http://dx.doi.org/10.1017/jfm.2014.436.

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AbstractWe investigate the shock-induced turbulent mixing between a light and a heavy gas, where a Richtmyer–Meshkov instability (RMI) is initiated by a shock wave with Mach number $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\mathit{Ma}= 1.5$. The prescribed initial conditions define a deterministic multimode interface perturbation between the gases, which can be imposed exactly for different simulation codes and resolutions t

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17

Wan, Kai, Hua Sun, Mingyue Ji, Daniela Tuninetti, and Giuseppe Caire. "Cache-Aided General Linear Function Retrieval." Entropy 23, no. 1 (2020): 25. http://dx.doi.org/10.3390/e23010025.

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Coded Caching, proposed by Maddah-Ali and Niesen (MAN), has the potential to reduce network traffic by pre-storing content in the users’ local memories when the network is underutilized and transmitting coded multicast messages that simultaneously benefit many users at once during peak-hour times. This paper considers the linear function retrieval version of the original coded caching setting, where users are interested in retrieving a number of linear combinations of the data points stored at the server, as opposed to a single file. This extends the scope of the authors’ past work that only c

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18

Yan, Qifa, and Daniela Tuninetti. "Robust, Private and Secure Cache-Aided Scalar Linear Function Retrieval From Coded Servers." IEEE Journal on Selected Areas in Communications 40, no. 3 (2022): 968–81. http://dx.doi.org/10.1109/jsac.2022.3142360.

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19

Kişi, Emre, Murat Sarduvan, Halim Özdemir, and Nurgül Kalaycı. "On the spectrum of linear combinations of finitely many diagonalizable matrices that mutually commute." Special Matrices 9, no. 1 (2021): 305–20. http://dx.doi.org/10.1515/spma-2020-0138.

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Abstract We propose an algorithm, which is based on the method given by Kişi and Özdemir in [Math Commun, 23 (2018) 61], to handle the problem of when a linear combination matrix X = ∑ i = 1 m c i X i X = \sum\nolimits_{i = 1}^m {{c_i}{X_i}} is a matrix such that its spectrum is a subset of a particular set, where ci , i = 1, 2, ..., m, are nonzero scalars and Xi , i = 1, 2, ..., m, are mutually commuting diagonalizable matrices. Besides, Mathematica implementation codes of the algorithm are also provided. The problems of characterizing all situations in which a linear combination of some spec

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20

Bhowmick, Sauradeep, and Gui-Rong Liu. "Three Dimensional CS-FEM Phase-Field Modeling Technique for Brittle Fracture in Elastic Solids." Applied Sciences 8, no. 12 (2018): 2488. http://dx.doi.org/10.3390/app8122488.

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The cell based smoothed finite element method (CS-FEM) was integrated with the phase-field technique to model brittle fracture in 3D elastic solids. The CS-FEM was used to model the mechanics behavior and the phase-field method was used for diffuse fracture modeling technique where the damage in a system was quantified by a scalar variable. The integrated CS-FEM phase-field approach provides an efficient technique to model complex crack topologies in three dimensions. The detailed formulation of our combined method is provided. It was implemented in the commercial software ABAQUS using its use

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21

Hasan, Hussain S. "Building a New Software of Electromagnetic Lenses (CADTEL)." International Letters of Chemistry, Physics and Astronomy 9 (September 2013): 46–55. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.9.46.

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The Computer Aided designing Tools for Electromagnetic Lenses (CADTEL) is a new software as application package of programs concept to aid both users and professionals in symmetric and asymmetric electromagnetic lenses with single, double, and multipole piece in electron microscope of electron optics field. The CADTEL software has been designed to run on several computer platforms and includes two types of design procedure. The first one named, analysis procedure (which is based on trial and error) where consist of three sorts called; H1 programs for magnetic scalar potential by solving Laplac

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22

Hasan, Hussain S. "Building a New Software of Electromagnetic Lenses (CADTEL)." International Letters of Chemistry, Physics and Astronomy 9 (March 3, 2013): 46–55. http://dx.doi.org/10.56431/p-681k4r.

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The Computer Aided designing Tools for Electromagnetic Lenses (CADTEL) is a new software as application package of programs concept to aid both users and professionals in symmetric and asymmetric electromagnetic lenses with single, double, and multipole piece in electron microscope of electron optics field. The CADTEL software has been designed to run on several computer platforms and includes two types of design procedure. The first one named, analysis procedure (which is based on trial and error) where consist of three sorts called; H1 programs for magnetic scalar potential by solving Laplac

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23

Jia-Chen He, Jia-Chen He, Ming-Jian Fu Jia-Chen He, and Li-Qun Lin Ming-Jian Fu. "Multi-scale Fusion Residual Network For Single Image Rain Removal." 電腦學刊 34, no. 2 (2023): 129–40. http://dx.doi.org/10.53106/199115992023043402010.

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<p>Deep learning has been widely used in single image rain removal and demonstrated favorable universality. However, it is still challenging to remove rain streaks,&nbsp;especially in the nightscape rain map which exists heavy rain and rain streak accumulation. To solve this problem, a single image nightscape rain removal algorithm based on Multi-scale Fusion Residual Network is proposed in this paper. Firstly, based on the motion blur model, evenly distributed rain streaks are generated and the dataset is reconstructed to solve the lack of nightscape rain map datasets. Secondly, acc

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24

Patle, Bhumeshwar, Shyh-Leh Chen, Brijesh Patel, Sunil Kumar Kashyap, and Sudarshan Sanap. "Topological drone navigation in uncertain environment." Industrial Robot: the international journal of robotics research and application 48, no. 3 (2021): 423–41. http://dx.doi.org/10.1108/ir-10-2020-0218.

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Purpose With the increasing demand for surveillance and smart transportation, drone technology has become the center of attraction for robotics researchers. This study aims to introduce a new path planning approach to drone navigation based on topology in an uncertain environment. The main objective of this study is to use the Ricci flow evolution equation of metric and curvature tensor over angular Riemannian metric, and manifold for achieving navigational goals such as path length optimization at the minimum required time, collision-free obstacle avoidance in static and dynamic environments

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25

Dankelmann, Peter, Jennifer D. Key, and Bernardo G. Rodrigues. "A Characterization of Graphs by Codes from their Incidence Matrices." Electronic Journal of Combinatorics 20, no. 3 (2013). http://dx.doi.org/10.37236/2770.

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We continue our earlier investigation of properties of linear codes generated by the rows of incidence matrices of $k$-regular connected graphs on $n$ vertices. The notion of edge connectivity is used to show that, for a wide range of such graphs, the $p$-ary code, for all primes $p$, from an $n \times \frac{1}{2}nk$ incidence matrix has dimension $n$ or $n-1$, minimum weight $k$, the minimum words are the scalar multiples of the rows, there is a gap in the weight enumerator between $k$ and $2k-2$, and the words of weight $2k-2$ are the scalar multiples of the differences of intersecting rows

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26

Ma, Yinbin, and Daniela Tuninetti. "A General Coded Caching Scheme for Scalar Linear Function Retrieval." IEEE Journal on Selected Areas in Information Theory, 2022, 1. http://dx.doi.org/10.1109/jsait.2022.3182706.

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