Results 61 to 70 of about 173,975,381 (346)

Comparison of the Effectiveness of Different Methods for Constructing Exact Solutions to Nonlinear PDEs. Generalizations and New Solutions

Mathematics, 2019
The paper shows that, in looking for exact solutions to nonlinear PDEs, the direct method of functional separation of variables can, in certain cases, be more effective than the method of differential constraints based on the compatibility analysis of ...
Andrei D. Polyanin
doaj   +1 more source

Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients [PDF]

, 2011
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE, O. Chkadua, S. E. Mikhailov, Natroshvili, D, D. Natroshvili   +4 more
core   +1 more source

Zero‐Waste Manufacturing of Ophthalmic Lenses by Direct Fluidic Shaping in Arbitrary Domains

Advanced Materials Technologies, EarlyView.
Conventional ophthalmic lens manufacturing discards up to 97% of material through subtractive processes. The Cookie Cutter algorithm extends Fluidic Shaping to arbitrary rim geometries. The framework prescribes a spatially varying boundary height that, under neutral buoyancy and surface tension, shapes curable polymer into spherocylindrical lenses that
Yotam Katzman, Mor Elgarisi, Amos A. Hari, Jonathan Ericson, Omer Luria, Valeri Frumkin, Moran Bercovici   +6 more
wiley   +1 more source

Efficient Modification of the Decomposition Method for Solving a System of PDEs

Iraqi Journal of Science, 2021
     This paper presents an analysis solution for systems of partial differential equations using a new modification of the decomposition method to overcome the computational difficulties. Convergence of series solution was discussed with two illustrated
L. Tawfiq, Z. H. Kareem
semanticscholar   +1 more source

Continuum Robots in Surgery: From Engineering Design to Clinical Practice

Advanced Robotics Research, EarlyView.
The hyper‐redundant nature of continuum robot structures enables near‐infinite degrees of freedom leading to immense potential for medical applications. This review provides a historical background of continuum robots and novel ideas shaping their progress to current structural design, sensing technology, modeling techniques, and control methods.
Griffin Smith, Kaitlyn Clancy, Siwen Xie, Xiaochen Li, Sarah Khalife, Benjamin van der Woerd, Onaizah Onaizah   +6 more
wiley   +1 more source

Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning [PDF]

Acta Numerica
Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations.
Tim De Ryck, Siddhartha Mishra
semanticscholar   +1 more source

Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients [PDF]

Numerische Mathematik, 2015
In this work, we present a generalized methodology for analyzing the convergence of quasi-optimal Taylor and Legendre approximations, applicable to a wide class of parameterized elliptic PDEs with finite-dimensional deterministic and stochastic inputs ...
Hoang Tran, C. Webster, Guan-Nan Zhang
semanticscholar   +1 more source

Quasi-periodic solutions of Hamiltonian PDEs [PDF]

, 2011
This paper is an overview of recent existence results and techniques about KAM theory for ...
Massimiliano Berti, Berti, Massimiliano, Berti, M.   +2 more
core   +1 more source

Multispectral UV Imaging on Capacitive CMOS Arrays Enabled by Solution‐Processed Metal‐Oxide Nanoparticles

Advanced Science, EarlyView.
Ultraviolet (UV) imagers are important for a variety of applications but often require dedicated semiconductor process flows. Here, a versatile capacitive CMOS platform is transformed into a visible‐blind, multispectral UV imager through post‐CMOS functionalization with solution‐processed metal‐oxide nanoparticles. The UV‐induced photodielectric effect
Suman Kundu, Tao Shen, Kai Betlem, Murali K. Ghatkesar, Peter G. Steeneken, Frans P. Widdershoven   +5 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