Results 41 to 50 of about 10,845 (300)

Numerical solution of second-order nonlinear partial differential equations originating from physical phenomena using Hermite based block methods

Results in Physics, 2023
A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa, Ezekiel Olaoluwa Omole, Ali Shokri   +2 more
doaj   +1 more source

Activation of ERBB4 Pathway Inhibits Pathological Transdifferentiation of Lung Epithelial Progenitors into CD66c+ Basal Cells in Severe Lung Injury

Advanced Science, EarlyView.
In fibrotic distal lung regions, CD66c+ basal cells emerge as a pathological state. Using human distal lung organoids, this study identifies CD66c+ basal cells as a pro‐fibrotic state arising through transdifferentiation from secretory, AT2, and basal cells.
Kaijun Lin, Xinran Deng, Haonan Wang, Yamei Jiang, Jian Sun, Hailin Ding, Ming Ye, Xiaoting Wang, Yu Wang, Li Yuan, Zhenju Song, Xinhua Lin, Shenfei Sun, Ning Jiang   +13 more
wiley   +1 more source

An Introduction to Isogeometric Collocation Methods

, 2015
Within the framework of isogeometric analysis, collocation methods have been recently proposed as an interesting strong form alternative to standard Galerkin approaches, characterized by a significantly reduced computational cost, but still guaranteeing higher order convergence rates.
REALI, ALESSANDRO, T. J. R. Hughes
openaire   +3 more sources

Ferroelectric Devices for In‐Memory and In‐Sensor Computing

Advanced Science, EarlyView.
Inspired by biological systems, in‐memory and in‐sensor computing overcome von Neumann bottlenecks. Ferroelectric devices can mimic synaptic functions and sense stimuli like light or force, therefore are ideal for these paradigms. This review introduces the ferroelectric devices applied for in‐memory and in‐sensor computing, covering their structures ...
Hong Fang, Ronghuan Xie, Qiang Cao, Shishen Yan, Xiaolin Wang, Limei Zheng   +5 more
wiley   +1 more source

Mixed collocation methods for y” = f(x , y) [PDF]

, 1999
The second-order initial value problem y" = f(x,y), y(x(_0)) = y(_0), y'(x(_0)) = z(_0) which does not contain the first derivative explicitly and where the solution is oscillatory has been of great interest for many years.
Duxbury, S.C., Duxbury, Suzanne Claire
core  

Two Schemes Based on the Collocation Method Using Müntz–Legendre Wavelets for Solving the Fractional Bratu Equation

Axioms
Our goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations.
Haifa Bin Jebreen, Beatriz Hernández-Jiménez   +1 more
doaj   +1 more source

Topology‐Enriched Toughness Enhancement in Quasi‐Periodic Metastructures Featuring Tailorable Strong‐Weak Network

Advanced Science, EarlyView.
A quasi‐periodic Dart‐Kite (QDK) metastructure with a golden‐ratio‐constrained strong–weak bond network simultaneously enhances strength, toughness, and damage tolerance. Its distributed topology enables predictable, tailorable crack paths for precise fracture control and stable mechanics, demonstrating a high‐performance, controllable architecture ...
Tianyu Gao, Genda Wang, Jiabao Bai, Kai Liu   +3 more
wiley   +1 more source

Optimal error estimates of spectral Petrov-Galerkin and collocation methods for initial value problems of fractional differential equations

, 2015
We present optimal error estimates for spectral Petrov-Galerkin methods and spectral collocation methods for linear fractional ordinary differential equations with initial value on a finite interval.
Zeng, F., Zhang, Z., Em Karniadakis, G.
core   +1 more source

Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

پژوهش‌های ریاضی, 2020
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani, Hamid Safdari, Abolfazl Ghasemian   +2 more
doaj  

A Bone Marrow–Mimetic Hydrogel Enables Dual‐Phase Hemostasis and Vascularized Osteogenesis for Cranial Defects

Advanced Science, EarlyView.
A biomimetic, fiber‐reinforced hydrogel (FE‐PDA@Fib/Gel‐TG) that enables dual‐phase cranial defect repair. The system provides: instant hemostasis in the early stage, and sustained co‐delivery of pro‐angiogenic and osteogenic signals for synergistic vascularized bone regeneration.
Lingbin Che, Donghong Li, Huan Zhang, Tingting Xu, Juhan Li, Xuanzhou Chen, Louis D. Zhang, Shuguang Wang, Dianwen Song, Dongyong Sha   +9 more
wiley   +1 more source