On the Limitations of Physics-Informed Deep Learning: Illustrations Using First-Order Hyperbolic Conservation Law-Based Traffic Flow Models [PDF]
IEEE Open Journal of Intelligent Transportation Systems, 2023 Since its introduction in 2017, physics-informed deep learning (PIDL) has garnered growing popularity in understanding the systems governed by physical laws in terms of partial differential equations (PDEs).
Archie J. Huang, Shaurya Agarwal
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Journal of Scientific Computing, 2021 This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin schemes with subcell finite volume limiters applied to a new class of first order hyperbolic reformulations of nonlinear dispersive systems based on an extended ...
S Busto, Michael Dumbser, C Escalante
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A Hyperbolic Graph Neural Network Model with Contrastive Learning for Rating–Review Recommendation [PDF]
EntropyIn recommender systems research, the data sparsity problem has driven the development of hybrid recommendation algorithms integrating multimodal information and the application of graph neural networks (GNNs).
Shuyun Fang, Junling Wang, Fukun Chen
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A Finite Element Method for First Order Hyperbolic Systems. [PDF]
Mathematics of Computation, 1980 A new finite element method is proposed for the numerical solution of a class of initial-boundary value problems for first-order hyperbolic systems in one space dimension. An application of our procedure to a system modeling gas flow in a pipe is discussed. Asymptotic error estimates are derived in the
M. Luskin
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Dynamic Boundary Stabilization of First Order Hyperbolic Systems [PDF]
, 2016 In this chapter, we address the problem of the dynamic boundary stabilization of linear, quasilinear and LPV first-order hyperbolic systems. We provide sufficient conditions for the exponential stability for this class of infinite dimensional systems by means of Lyapunov based techniques and matrix inequalities.
Castillo, Felipe +3 more
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A Novel Algebraic Saturation-Based PID Controller Optimized by Animated Oat Algorithm for Ultra-Fast Dynamic Response of Automatic Voltage Regulation [PDF]
BiomimeticsThis paper presents a novel algebraic saturation-based Proportional–Integral–Derivative (ASB-PID) controller for achieving ultra-fast and well-damped dynamic response in automatic voltage regulator (AVR) systems.
Ömer Türksoy
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Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms
Journal of Differential Equations, 1999 Wen-An Yong
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Dissipative Boundary Control for an Adiabatic Plug Flow Reactor With Mass Recycle
IEEE Access, 2022 In this contribution the stability properties and regulation of a class of convective systems described by first order hyperbolic partial differential equations with boundary recycle is studied.
Marco A. Zarate-Navarro +4 more
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Correct conditions on the boundary separating subdomains [PDF]
Компьютерные исследования и моделирование, 2014 This paper presents definition and solution problem of correct conditions on the boundary, separating subdomains for hyperbolic linear equation systems.
Yuri I. Skalko
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Finite Time Stabilization of Nonautonomous First-Order Hyperbolic Systems [PDF]
SIAM Journal on Control and Optimization, 2021 We address nonautonomous initial boundary value problems for decoupled linear first-order one-dimensional hyperbolic systems, investigating the phenomenon of finite time stabilization. We establish sufficient and necessary conditions ensuring that solutions stabilize to zero in a finite time for any initial $L^2$-data. In the nonautonomous case we give
Irina Kmit, Natalya Lyul'ko
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