Results 41 to 50 of about 3,194 (297)

Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

International Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew, Mekash Ayalew, Mulualem Aychluh   +2 more
doaj   +1 more source

A Conservative Crank-Nicolson Fourier Spectral Method for the Space Fractional Schrödinger Equation with Wave Operators

Journal of Function Spaces, 2021
In this paper, the Crank-Nicolson Fourier spectral method is proposed for solving the space fractional Schrödinger equation with wave operators. The equation is treated with the conserved Crank-Nicolson Fourier Galerkin method and the conserved Crank ...
Lei Zhang, Rui Yang, Li Zhang, Lisha Wang   +3 more
doaj   +1 more source

Geometric Accuracy Analysis of Geostationary Environment Monitoring Spectrometer Images by Spatiotemporal and Spectral Collocation

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Geometric accuracy of satellite imagery is a critical factor that determines the reliability of image analysis. Geostationary environment monitoring spectrometer (GEMS) is the world's first geostationary hyperspectral environmental satellite ...
Seunghyeok Choi, Taejung Kim, Jaehoon Jeong, Jeonghyeon Seo, Kyunghwa Lee   +4 more
doaj   +1 more source

A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations

, 2015
We generalize existing Jacobi--Gauss--Lobatto collocation methods for variable-order fractional differential equations using a singular approximation basis in terms of weighted Jacobi polynomials of the form (1 ± ϰ)μPja,b(ϰ), where μ > -1.
Zhang, Zhongqiang, Karniadakis, George E., Zeng, Fanhai   +2 more
core   +1 more source

Flash Assembloids: A Rapid Biofabrication of a Platform for Modeling Early Glioblastoma Invasion at the Glioblastoma–Brain Organoid Interfaces

Advanced Healthcare Materials, EarlyView.
This study presents a bioengineered assembloid (ASM) system combining glioblastoma (GBM) cells in oxidized alginate (OA) microgels with dorsal organoids (DOs). This model simulates brain tumor‐host interactions, revealing enhanced GBM invasion, altered gene expression, and aggressive infiltration patterns, demonstrating ASM as a valuable platform for ...
Chao Liang, Henry Robert Howard, Shihui Chen, Won‐Young Choi, Summer Cao, Arthur Chien, Kevin Zou, Michael Kassiou, Fabien Delerue, Ho Sang Jung, Yeonju Park, Young Mee Jung, Yong‐Dae Kwon, Karrie M. Kiang, Gilberto Ka‐Kit Leung, Ryohichi Sugimura, Ann‐Na Cho, Sang Jin Lee   +17 more
wiley   +1 more source

Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems [PDF]

SIAM Journal on Numerical Analysis, 1995
Bilinear finite element preconditioners for Legendre spectral collocation schemes are investigated. The work deals with \(H^1\) condition numbers of the preconditioned operators for elliptic problems. The singular values of the preconditioned spectral operators are explicitly calculated. The efficiency of a damped Jacobi iterative method (like GMRES or
Parter, Seymour V., Rothman, Ernest E.
openaire   +1 more source

Interface‐Engineered Binary Framework Composites: Advancing Porous Materials for Precision Medicine

Advanced Materials Interfaces, EarlyView.
Binary framework composites integrate two complementary porous architectures into a unified platform, enabling multifunctional design, enhanced structural tunability, and improved physicochemical performance. By combining high surface area, ordered porosity, interfacial synergy, and versatile functionalization, these hybrid materials offer new ...
Navid Rabiee, Mohammad Rabiee, Mohammad Akrami‐Hasan‐Kohal, Sidi A. Bencherif   +3 more
wiley   +1 more source

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

Accurate Spectral Collocation Solutions to 2nd-Order Sturm–Liouville Problems

, 2021
This work is about the use of some classical spectral collocation methods as well as with the new software system Chebfun in order to compute the eigenpairs of some high order Sturm–Liouville eigenproblems.
Călin-Ioan Gheorghiu
core   +1 more source

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