Results 1 to 10 of about 2,897 (87)
Nonlinear PDEs approach to statistical mechanics of dense associative memories [PDF]
Journal of Mathematics and Physics, 2022 Dense associative memories (DAMs) are widely used models in artificial intelligence for pattern recognition tasks; computationally, they have been proven to be robust against adversarial inputs and, theoretically, leveraging their analogy with spin-glass
E. Agliari, A. Fachechi, Chiara Marullo
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Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton–Jacobi PDEs [PDF]
MCSS. Mathematics of Control, Signals and Systems, 2021 Solving high-dimensional optimal control problems and corresponding Hamilton–Jacobi PDEs are important but challenging problems in control engineering. In this paper, we propose two abstract neural network architectures which are, respectively, used to ...
J. Darbon, P. Dower, Tingwei Meng
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Mathematics, 2022 Heat and mass transfer study of hybrid nanomaterial Casson fluid with time-dependent flow over a vertical Riga sheet was deliberated under the stagnation region.
Taqi A. M. Shatnawi +2 more
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Near-optimal approximation methods for elliptic PDEs with lognormal coefficients [PDF]
Mathematics of Computation, 2021 This paper studies numerical methods for the approximation of elliptic PDEs with lognormal coefficients of the form $-{\rm div}(a\nabla u)=f$ where $a=\exp(b)$ and $b$ is a Gaussian random field.
A. Cohen, G. Migliorati
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Arabian Journal of Mathematics, 2022 Here the assessment of entropy generation with Soret and Dufour impact in flow of MHD Prandtl fluid along an unsteady stretching surface has been measured.
S. Asad, Shehnila Riaz
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Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise [PDF]
Mathematics of Computation, 2017 The stochastic time-fractional equation $\partial_t \psi -\Delta\partial_t^{1-\alpha} \psi = f + \dot W$ with space-time white noise $\dot W$ is discretized in time by a backward-Euler convolution quadrature for which the sharp-order error estimate ...
M. Gunzburger, Buyang Li, Jilu Wang
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Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case [PDF]
Mathematics of Computation, 2016 Schwarz methods are attractive parallel solution techniques for solving large-scale linear systems obtained from discretizations of partial differential equations (PDEs).
M. Gander, Soheil Hajian
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Journal of Applied Mathematics, 2013 We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on an arbitrary number of overlapping subdomains with nonmatching grids.
A. Harbi
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International Journal of Mathematics and Computer in Engineering, 2023 Our investigation delves into a specific category of nonlinear pseudo-parabolic partial differential equations (PDEs) that emerges from physical models.
A. Hussain +3 more
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AIMS Mathematics, 2019 In this paper, we present new solitary wave solutions for the Benney-Luke equation (BLE) and Phi-4 equation (PE). The new generalized rational function method (GERFM) is used to reach such solutions. Moreover, the stability for the governing equations is
B. Ghanbari, A. Yusuf, D. Baleanu
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