On unique solvability of the piecewise linear equation system
In this article, we take the piecewise linear equation system \(x-W|x|=b\), which is also known by absolute value equation, where \(W\in {\mathbb R}^ {n\times n}\), \(b\in {\mathbb R}^{n}\) are given and to undetermined the value of \(x\in {\mathbb R ...
Shubham Kumar, Deepmala
doaj
Interval algorithm for absolute value equations
Abstract We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.
Wang Aixiang, Wang Haijun, Deng Yongkun
openaire +2 more sources
Improved Joule Thomson equation of supercritical CO2-rich natural gas in separation system
The rapid expansion of supercritical gas technology for high-content CO2 separation from natural gas is a promising avenue of research. However, CO2-rich natural gas cools immediately after being separated and expands when the CO2 dew point is reached in
Saripudin +4 more
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An Inverse Scattering Transform for the Lattice Potential KdV Equation
The lattice potential Korteweg-de Vries equation (LKdV) is a partial difference equation in two independent variables, which possesses many properties that are analogous to those of the celebrated Korteweg-de Vries equation.
Ablowitz M J +10 more
core +1 more source
Fluctuations in a kinetic transport model for quantum friction
We consider a linear Boltzmann equation that arises in a model for quantum friction. It describes a particle that is slowed down by the emission of bosons.
Bauerschmidt, Roland +2 more
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The Cosmological Impact of Intrinsic Alignment Model Choice for Cosmic Shear [PDF]
We consider the effect of galaxy intrinsic alignments (IAs) on dark energy constraints from weak gravitational lensing. We summarise the latest version of the linear alignment model of IAs, following the brief note of Hirata & Seljak (2010) and further ...
Anais Rassat +54 more
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On determining absolute entropy without quantum theory or the third law of thermodynamics
We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the third law of thermodynamics. The Gibbs–Duhem equation yields various simple methods to determine the absolute
Andrew M Steane
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Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model [PDF]
By performing estimates on the integral of the absolute value of vorticity along a local vortex line segment, we establish a relatively sharp dynamic growth estimate of maximum vorticity under some assumptions on the local geometric regularity of the ...
Hou, Thomas Y., Shi, Zuoqiang
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A New Efficient Method for Absolute Value Equations
In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton–Cotes formula is taken as a corrector step. The proposed method’s convergence is discussed in detail.
Peng Guo +5 more
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A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation
In this paper, a new matrix splitting iteration method is presented to solve the absolute value equation. The proposed method has three parameters, and it is expected that its convergence efficiency can be improved by selecting appropriate parameters ...
Lu-Lin Yan, Yi-Xin Jiang, Shu-Xin Miao
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