Results 61 to 70 of about 856 (206)

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, Claudia Panico, Messoud Efendiyev   +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, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

ANALYSIS OF TWO CLASSES OF CROSS DIFFUSION SYSTEMS [PDF]

, 2010
A mathematical and numerical analysis has been carried out for two cross diffusion systems arising in applied mathematics. The first system appears in modelling the movement of two interacting cell populations whose kinetics are of competition type.
AL-SALMAN, HASSAN,JAWAD
core  

Coexistence, crossover and extirpation in coalescent communities and ecotones

Oikos, EarlyView.
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley   +1 more source

Sparsity-Inducing Methods in Imaging Sciences and Partial Differential Equations [PDF]

, 2015
Sparsity has played a central role in many fields of applied mathematics such as signal processing, image processing, compressed sensing, and optimization.
Tran, Giang Thi Tra
core  

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Responsive nitric oxide‐releasing antibacterial materials for biofilm‐associated infections: Mechanisms, design strategies, and applications

Responsive Materials, EarlyView.
This review summarizes the recent progress in responsive NO‐releasing materials and their applications in biofilm‐associated infectious diseases. The design principles and response mechanisms are given to provide inspiration toward the future development of multi‐responsive NO‐releasing materials.
Wenyue Sun, Meiqi Li, Di Nan, Jiaqi Zhao, Yu Chen, Yao Gao, Shichen Zhang, Kirsten L. Van Landuyt, Manlin Qi   +8 more
wiley   +1 more source

Projection schemes for stochastic partial differential equations

, 2009
The focus of the present work is to develop stochastic reduced basis methods (SRBMs) for solving partial differential equations (PDEs) defined on random domains and nonlinear stochastic PDEs (SPDEs).
Prerapa, Surya Mohan
core  

Performance Study of Variational Quantum Algorithms for Solving the Poisson Equation on a Quantum Computer

Recent advances in quantum computing and their increased availability has led to a growing interest in possible applications. Among those is the solution of partial differential equations (PDEs) for, e.g., material or flow simulation. Currently, the most
Ali, Mazen, Kabel, Matthias
core   +1 more source

Smart cellulose‐based room temperature phosphorescent materials: From mechanisms to construction strategies and applications

Smart Molecules, EarlyView.
This review elucidates the photophysical mechanisms of cellulose‐based room temperature phosphorescent materials and systematically outlines their construction strategies, such as cluster emission center engineering. This article demonstrates their applications in fields like information encryption and bioimaging, and looks ahead to the core challenges
Shasha Wu, Yifan Zhou, Wanjin Wu, Yan Tang, Mengfan Jing, Jianyu Zhang, Haoke Zhang, Zheng Zhao, Junwei Wang, Laurent Maron, Lijie Liu   +10 more
wiley   +1 more source