Results 41 to 50 of about 2,172 (181)
Conforming Discretizations of Mixed-Dimensional Partial Differential Equations [PDF]
, 2018 Mixed-dimensional partial differential equations (PDEs) are coupled equations defined on connected manifolds of different dimensionalities. Two main examples of mixed-dimensional PDEs are considered in this dissertation, namely flow in fractured porous ...
Boon, Wietse Marijn
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Strategic Change, EarlyView.ABSTRACT Digital platform (DP) enterprises have risen to the top of the global economy by inverting traditional business models. They earn money through matchmaking, transaction facilitation, and efficient orchestration of other stakeholders' resources.
Lukas R. G. Fitz, Jochen Scheeg
wiley +1 more source
Optimal control of fractional systems: a diffusive formulation [PDF]
, 2010 Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
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Effect of HBr on Explosion Limits of Stoichiometric Hydrogen‐oxygen Mixture
International Journal of Chemical Kinetics, EarlyView.ABSTRACT This work, based on numerical simulations, discusses the effect of HBr as an inhibitor on the explosion limit of stoichiometric hydrogen‐oxygen gas mixture in a closed spherical vessel. The numerical simulation solves the complete governing equations for mass, momentum, species and energy.
Chunkan Yu, Peter Glarborg
wiley +1 more source
Approachability in population games
, 2020 This paper reframes approachability theory within the context of population games. Thus, whilst a player still aims at driving her average payoff to a predefined set, her opponent is no longer malevolent but instead is extracted randomly at each instant ...
Norman, Thomas W. L. +2 more
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Output feedback stabilization of reaction–diffusion PDEs with a non-collocated boundary condition
, 2022 ANR-20-IDEES-0002International audienceThis paper addresses the control design problem of output feedback stabilization of a reactiondiffusion PDE with a non-collocated boundary condition.
Lhachemi, Hugo, Prieur, Christophe
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Â-and Î-stability of collocation Runge-Kutta methods
International audienceThis paper deals with stability of classical Runge-Kutta collocation methods. When such methods are embedded in linearly implicit methods as developed in [12] and used in [13] for the time integration of nonlinear evolution PDEs ...
Lacroix-Violet, Ingrid +1 more
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
wiley +1 more source