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Numerical stability of DeepGOPlus inference [PDF]
PLOS ONEConvolutional neural networks (CNNs) are currently among the most widely-used deep neural network (DNN) architectures available and achieve state-of-the-art performance for many problems. Originally applied to computer vision tasks, CNNs work well with any data with a spatial relationship, besides images, and have been applied to different fields ...
Inés Gonzalez Pepe +3 more
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Computation of the Characteristic Parameters of Coaxial Waveguides Used in Precision Sensors
Sensors, 2023 This paper presents a fast and computationally stable analytical algorithm used to perform the characteristic impedance of cylindrical multilayer waveguides used in high-precision sensors and apparatuses.
Krzysztof Kubiczek
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Bruhat Decomposition and Numerical Stability [PDF]
SIAM Journal on Matrix Analysis and Applications, 1998 The authors develop an algorithm for the left Bruhat decomposition of real nonsingular \(n\times n\) matrices. Also a pivoting strategy for Bruhan decomposition is introduced and explicit relationships are derived between factors determining Gauss elimination with partial pivoting (GEPP) and Bruhat decomposition with partial pivoting (BDPP).
O. H. Odeh +2 more
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On the Numerical Stability of Fourier Extensions [PDF]
Foundations of Computational Mathematics, 2014 An effective means to approximate an analytic, nonperiodic function on a bounded interval is by using a Fourier series on a larger domain. When constructed appropriately, this so-called Fourier extension is known to converge geometrically fast in the truncation parameter.
Ben Adcock +2 more
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Numerical stability of a plasma sheath [PDF]
ESAIM: Proceedings and Surveys, 2018 We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/electron) Vlasov-Ampère model proposed in [3]. The main question addressed in this work is to know how accurately classical time-dependent Vlasov-Ampère numerical schemes ...
Badsi, Mehdi +2 more
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A New Traffic System on Driver Sensitivity and Safe Distance Headway
Applied Sciences, 2023 A new macroscopic traffic system is devised that observes the transition distance between the vehicles and driver sensitivity during traffic evolution.
Zawar H. Khan, Ahmed B. Altamimi
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Reduced-Precision Chemical Kinetics in Atmospheric Models
Atmosphere, 2022 Modelling atmospheric composition and climate change on the global scale remains a great scientific challenge. Earth system models spend up to 85% of their total required computational resources on the integration of atmospheric chemical kinetics.
Kyriacos Sophocleous +1 more
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Journal of Advances in Modeling Earth Systems, 2020 Simultaneous calculation of atmospheric processes is faster than calculating processes one at a time. This type of parallelism is beneficial or perhaps even necessary to provide good performance on modern supercomputers, which achieve faster performance ...
Aaron S. Donahue, Peter M. Caldwell
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Universal Journal of Mathematics and Applications, 2022 The paper discusses the analytical stability and numerical stability of differential equations with piecewise constant arguments with matrix coefficients.
Qi Wang, Hefan Yin
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Discrete and Continuous Models and Applied Computational Science, 2022 The classical pseudospectral collocation method based on the expansion of the solution in a basis of Chebyshev polynomials is considered. A new approach to constructing systems of linear algebraic equations for solving ordinary differential equations ...
Konstantin P. Lovetskiy +2 more
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