Results 81 to 90 of about 2,172 (181)
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Boundary Feedback Control Design for Classes of Mixed-Type Partial Differential Equations [PDF]
, 2019 The work in this dissertation summarizes some advancement in the theory of boundary controller design for coupled partial differential equations (PDEs), including a new interpretation of designing bilateral boundary controllers as equivalent coupled PDEs
Chen, Stephen
core
Design of unknown input observers for nonlinear systems with full and partial information
, 2016 The problem of designing Unknown Input Observers (UIOs) for nonlinear systems is approached in this paper, in the cases of full and partial information. In the former, it is shown that the construction hinges upon the solution of a system of first-order ...
Cristofaro, A +7 more
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, 2016 International audienceIn this paper, we consider linear dynamics subject to a distributed state-dependent delay and a pointwise input-delay. We propose a prediction-based controller which exponentially stabilizes the plant. The controller design is based
Bresch-Pietri, Delphine +1 more
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Medicinal Research Reviews, Volume 46, Issue 4, Page 1173-1229, July 2026.ABSTRACT Alzheimer's disease (AD) is a debilitating neurodegenerative condition characterized by progressive cognitive impairment, memory deterioration, and neuronal dysfunction. Its complex pathophysiology involves multiple interlinked processes, including amyloid‐β (Aβ) aggregation, tau hyperphosphorylation, oxidative stress, neuroinflammation ...
Amandeep Thakur +6 more
wiley +1 more source
Stabilization of Pulses by Diffusion
, 2007 Stationary and traveling pulses appear generically in the dynamics generated by nonlinear partial differential equations (PDEs) of evolution type.
A. Doelman
core
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Advanced Science, Volume 13, Issue 33, 15 June 2026.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
DATA-DRIVEN SINGLE-/MULTI-DOMAIN SPECTRAL METHODS FOR STOCHASTIC FRACTIONAL PDES
, 2018 Fractional derivatives are integro-differential convolution type operators with power law kernels, which seamlessly generalize the notion of standard integer order differentiation to their fractional counter parts.
Kharazmi, Ehsan
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Advanced Science, Volume 13, Issue 31, 4 June 2026.This study reports on the physical implementation of optical material‐based neural processing using long‐persistent luminescence as memory‐retention and nonlinear optical material. The system performs optical‐domain preprocessing with opto‐electronic interfaces for stimulus delivery and readout, enabling real‐time demonstrations including Pong gameplay
Sangwon Wi, Yunsang Lee
wiley +1 more source