Results 31 to 40 of about 31,990 (181)
Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
Spatiotemporal Orthogonal Polynomial Approximation for Partial Differential Equations [PDF]
, 2014 Starting with some fundamental concepts, in this article we present the essential aspects of spectral methods and their applications to the numerical solution of Partial Differential Equations (PDEs).
Bhowmik, Samir Kumar, Dhawan, Sharanjeet
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Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations [PDF]
, 2013 In this paper, the problem of approximate symmetries of a class of non-linear reaction-diffusion equations called Kolmogorov-Petrovsky-Piskounov (KPP) equation is comprehensively analyzed.
Mahdavi, Abolhassan, Nadjafikhah, Mehdi
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Advanced Materials Technologies, EarlyView.ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel +4 more
wiley +1 more source
Computer Modeling in Engineering & Sciences, 2010 The fictitious time integration method (FTIM) previously developed by Liu and Atluri (2008a) is combined with the method of fundamental solutions and the Chebyshev polynomials to solve Poisson-type nonlinear PDEs. The method of fundamental solutions with Chebyshev polynomials (MFS-CP) is an exponentially-convergent meshless numerical method which is ...
Tsai, Chia-Cheng +2 more
openaire +2 more sources
Advanced Science, EarlyView.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
Advanced Science, EarlyView.Inspired by the mimosa, this study develops a flexible triboelectric nanogenerator with a novel microneedle array and battery‐mimetic architecture. The device introduces a spontaneous charge self‐regulation mechanism that confines the electric field below the air breakdown threshold, and achieves an outstanding charge density of 396.50 µC m−2 ...
Hanpeng Gao +7 more
wiley +1 more source
Application of isotropic geometry to the solution of the Monge–Ampere equation
Қарағанды университетінің хабаршысы. Математика сериясыThis paper explores the Monge–Ampere equation in the context of isotropic geometry. The study begins with an overview of the fundamental properties of isotropic space, including its scalar product, distance formula, and the nature of surfaces and ...
Sh.Sh. Ismoilov
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Some recent developments in the theory of Lie group symmetries for PDEs [PDF]
, 2009 Lie group symmetry methods provide a powerful tool for the analysis of PDEs. Over the last thirty years, considerable progress has been made in the development of this field. In this article, we provide a brief introduction to the method developed by Lie
Craddock, MJ +2 more
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, 1998 The truncation method is a collective name for techniques that arise from truncating a Laurent series expansion (with leading term) of generic solutions of nonlinear partial differential equations (PDEs).
Ablowitz M J +24 more
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