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2020
Summary: In this paper we study a number of nonlinear fractional equations, involving Caputo derivative in space or/and in time, admitting explicit solution in separating variable form. Some of these equations are particularly interesting because they admit completely periodic solutions. When time-fractional derivatives are introduced, this property is
Riccardo Droghei, Roberto Garra
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Summary: In this paper we study a number of nonlinear fractional equations, involving Caputo derivative in space or/and in time, admitting explicit solution in separating variable form. Some of these equations are particularly interesting because they admit completely periodic solutions. When time-fractional derivatives are introduced, this property is
Riccardo Droghei, Roberto Garra
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Proceedings of the 2017 ACM SIGSIM Conference on Principles of Advanced Discrete Simulation, 2017
In this paper, we present initial experiences implementing a general Parallel Discrete Event Simulation (PDES) accelerator on a Field Programmable Gate Array (FPGA). The accelerator can be specialized to any particular simulation model by defining the object states and the event handling logic, which are then synthesized into a custom accelerator for ...
Shafiur Rahman +2 more
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In this paper, we present initial experiences implementing a general Parallel Discrete Event Simulation (PDES) accelerator on a Field Programmable Gate Array (FPGA). The accelerator can be specialized to any particular simulation model by defining the object states and the event handling logic, which are then synthesized into a custom accelerator for ...
Shafiur Rahman +2 more
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2014
We first review the linear Laplace equation. For functions $$\phi\;:\;\mathbb{R}^n\;\rightarrow\;\mathbb{R}$$ we define the Lagrangian $$ L^e(\phi)\;=\;\frac{1} {2}\int_{\mathbb{R}^{n}} {\left| {\nabla _x \phi } \right|^2 \,dx} \, = \,\frac{1} {2}\int_{\mathbb{R}^{n}} {\partial _\alpha \phi } \cdot \partial _\alpha \phi \,dx ,$$ with the ...
Herbert Koch +2 more
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We first review the linear Laplace equation. For functions $$\phi\;:\;\mathbb{R}^n\;\rightarrow\;\mathbb{R}$$ we define the Lagrangian $$ L^e(\phi)\;=\;\frac{1} {2}\int_{\mathbb{R}^{n}} {\left| {\nabla _x \phi } \right|^2 \,dx} \, = \,\frac{1} {2}\int_{\mathbb{R}^{n}} {\partial _\alpha \phi } \cdot \partial _\alpha \phi \,dx ,$$ with the ...
Herbert Koch +2 more
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1991
The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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PDEs are considered to be language of physics as they provide mathematical descriptions of a whole range of physical phenomena. The complexity and prohibitive computational cost of traditional physics-based numerical schemes necessitates the search for fast and efficient surrogates, based on machine learning.
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On the area of the symmetry orbits of cosmological spacetimes with toroidal or hyperbolic symmetry, 2011
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