Results 1 to 10 of about 54,046 (227)
Mathematical analysis of nonlocal PDEs for network generation [PDF]
Mathematical Modelling of Natural Phenomena, 2019 In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from local interaction rules, which result in a change of the degree distribution as time progresses.
Tobias Böhle, Christian Kuehn
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Symmetry Analysis of an Interest Rate Derivatives PDE Model in Financial Mathematics [PDF]
Symmetry, 2019 We perform Lie symmetry analysis to a zero-coupon bond pricing equation whose price evolution is described in terms of a partial differential equation (PDE). As a result, using the computer software package SYM, run in conjunction with Mathematica, a new family of Lie symmetry group and generators of the aforementioned pricing equation are derived.
Bosiu C. Kaibe, John G. O’Hara
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On the Mathematical Analysis and Numerical Approximation of a System of Nonlinear Parabolic PDEs
Zeitschrift für Analysis und ihre Anwendungen, 2009 In this paper we consider a boundary value problem for a system of 2 nonlinear parabolic PDEs e.g. arising in the context of flow and transport in porous media. The flow model is based on tho nonlinear Richard’s equation problem and is combined with the transport equation through saturation and Darcy’s velocity (discharge) terms. The convective terms are
R. Van Keer +2 more
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Mathematical Analysis of a PDE System for Biological Network Formation [PDF]
Communications in Partial Differential Equations, 2015 Motivated by recent physics papers describing rules for natural network formation, we study an elliptic-parabolic system of partial differential equations proposed by Hu and Cai. The model describes the pressure field thanks to Darcy's type equation and the dynamics of the conductance network under pressure force effects with a diffusion rate $D ...
Haskovec, Jan +2 more
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Introducing the Workshop on Variational Analysis, PDEs and Mathematical Economics
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 In this preface we describe the Workshop “Variational Analysis, PDEs and Mathematical Economics” held in Messina on September 19-20, 2019, to celebrate the 75th birthday of Antonino Maugeri. This special issue of AAPP collects some scientific results presented during the Workshop.
Donato, Maria B., Milasi, Monica
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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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