Results 31 to 40 of about 87,373,027 (240)

Fundamental Solutions of PDEs as Radial Basis Functions in Multivariate Interpolation

Computational Methods in Applied Mathematics, 2007
AbstractFor bivariate and trivariate interpolation we propose in this paper a set of integrable radial basis functions (RBFs). These RBFs are found as fundamental solutions of appropriate PDEs and they are optimal in a special sense. The condition number of the interpolation matrices as well as the order of convergence of the inter- polation are ...
openaire   +2 more sources

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

Advanced Functional Materials, EarlyView.
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska, Eugene A. Eliseev, Sergei V. Kalinin, Long‐Qing Chen, Dean R. Evans, Venkatraman Gopalan   +5 more
wiley   +1 more source

Viscosity Solutions for First-Order PDEs With Measurable Coefficients and Superlinear Gradient Growth

Journal of Mathematics
Inspired by a fundamental existence result in the theory of PDEs, we present a general existence theorem for viscosity solutions in the standard sense that is applicable to a wide class of partial differential equations. These equations are characterized
S. M. E. Hosseini, S. S. Nezhad
doaj   +1 more source

Triviality of the 2D stochastic Allen-Cahn equation [PDF]

, 2012
We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber, Martin Hairer, Hairer, Martin, Marc D. Ryser, M. Hairer, Hendrik Weber, Weber, Hendrik, M. D. Ryser, Ryser, Marc D.   +8 more
core   +1 more source

Pattern‐Aware Intelligence Enables Nondestructive, Rapid Quantification of High‐Aspect‐Ratio Silicon Etching

Advanced Science, EarlyView.
Pattern‐dependent etching is converted into a physical prior for intelligent reconstruction of high‐aspect‐ratio silicon structures. Combining YOLO‐Pose feature extraction with a topography network, the framework retrieves depth, sidewall angle, and scallop texture from minimal destructive observations, enabling accurate cross‐scale metrology and near ...
Shuyan He, Lang Chen, Bo Wen, Yufeng Jin, Wei Wang   +4 more
wiley   +1 more source

Toward Knowledge‐Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human–AI Synergy

Advanced Intelligent Discovery, EarlyView.
This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee, Hyeonbin Moon, Junhyeong Lee, Seunghwa Ryu   +3 more
wiley   +1 more source

Portopulmonary hypertension practice patterns after liver transplantation

Liver Transplantation, EarlyView., 2022
Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose, Elizabeth J. Kopras, Shimul A. Shah, Jean M. Elwing   +3 more
wiley   +1 more source

AI‐BioMech: Deep Learning Prediction of Mechanical Behavior in Aperiodic Biological Cellular Materials

Advanced Intelligent Discovery, EarlyView.
AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia, Marcelo A. Dias, Parvez Alam   +2 more
wiley   +1 more source

Fatigue‐Driven Adaptive Assistance for a Semi‐Active Upper‐Limb Occupational Exoskeleton

Advanced Intelligent Systems, EarlyView.
Physical fatigue during a physical activity is estimated in real time to enable adaptive exoskeleton assistance. By continuously adjusting the level of support according to the user’s fatigue, this approach reduces physical demand and provides a pathway toward personalized exoskeleton assistance.
Seemab Zakir, Lorenzo Grazi, Simone Prisinzano, Francesco Giovacchini, Nicola Vitiello, Emilio Trigili, Simona Crea   +6 more
wiley   +1 more source