Results 21 to 30 of about 2,520,215 (291)
Entropy, 2023 The Information Bottleneck (IB) is a method of lossy compression of relevant information. Its rate-distortion (RD) curve describes the fundamental tradeoff between input compression and the preservation of relevant information embedded in the input ...
Shlomi Agmon
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PLoS ONE, 2009 Previous studies have implicated several brain areas as subserving numerical approximation. Most studies have examined brain correlates of adult numerical approximation and have not considered individual differences in mathematical ability.
Yulia Kovas +7 more
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators
Mathematics, 2022 In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 10 (the monotonicity of y), where Δc0βy(z) will be assumed to be negative for each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} and some T∈Nc0:={c0,c0+1,c0+2,⋯}.
Kamsing Nonlaopon +5 more
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Numerical Scheme based on Non-polynomial Spline Functions for the System of Second Order Boundary Value Problems arising in Various Engineering Applications [PDF]
Journal of Applied and Computational Mechanics, 2022 Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems.
Anju Chaurasia +2 more
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Eurasian Journal of Science and Engineering, 2023 The struggle to find the analytic solution of several differential equations leads to several issues like difficulty in finding solutions, singularities, convergent issues, and stability.
Salisu Ibrahim
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Fractal and Fractional, 2023 In this paper, we present a new highly efficient numerical algorithm for nonlinear variable-order space fractional reaction–diffusion equations. The algorithm is based on a new method developed by using the Gaussian quadrature pole rational approximation.
Muhammad Yousuf, Shahzad Sarwar
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Are approximate number system representations numerical?
Journal of Numerical Cognition, 2023 Previous research suggests that the Approximate Number System (ANS) allows people to approximate the cardinality of a set. This ability to discern numerical quantities may explain how meaning becomes associated with number symbols. However, recently it has been argued that ANS representations are not directly numerical, but rather are formed by ...
Pickering, Jayne +2 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
White, Craig +4 more
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Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification
Computer Assisted Methods in Engineering and Science, 2023 The paper deals with the numerical modelling of solidification of two- component metal alloys. The numerical model was worked out using the enthalpy formulation of solidification and the finite element method.
Norbert Sczygiol
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