Results 31 to 40 of about 1,769 (302)

A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities

, 2017
We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis, Fanhai Zeng, Zeng, F., Mao, Z., Karniadakis, G. E., Zhiping Mao   +5 more
core   +1 more source

Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations

Mathematics
Emerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems ...
Dibyendu Adak, Duc P. Truong, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov   +4 more
doaj   +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

A spectral collocation method for the Landau equation in plasma physics

CoRR, 2020
In this paper we present a spectral collocation method for the fast evaluation of the Landau collision operator for plasma physics, which allows us to obtain spectrally accurate numerical solutions. The method is inspired by the seminal work [36], but it is specifically designed for Coulombian interactions, taking into account the particular structure ...
openaire   +2 more sources

A multidomain spectral collocation method for the Stokes problem [PDF]

Numerische Mathematik, 1990
The Stokes problem in a plurirectangular domain with homogeneous Dirichlet boundary conditions is considered. The authors generalize a spectral collocation method for the case of a multidomain. They show that the discrete velocity is exactly divergence-free (for any value of discretization parameter) and state an inf-sup condition which guarantees ...
Sacchi Landriani, G., Vandeven, H.
openaire   +2 more sources

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

On the Trail of Creativity: Dimensionality of Divergent Thinking and Its Relation With Cognitive Abilities, Personality, and Insight

European Journal of Personality, EarlyView., 2020
Abstract Divergent thinking (DT) is an important constituent of creativity that captures aspects of fluency and originality. The literature lacks multivariate studies that report relationships between DT and its aspects with relevant covariates, such as cognitive abilities, personality traits (e.g. openness), and insight. In two multivariate studies (N 
S. Weiss, D. Steger, Y. Kaur, A. Hildebrandt, U. Schroeders, O. Wilhelm, Christian Kandler   +6 more
wiley   +1 more source

Multidomain Decomposition of Curved Geometries in the Chebyshev Collocation Method for Thermal Problems

, 1994
A general spectral method is proposed for the numerical solution of the steady 2D thermal convection equations. The spatial discretization is performed by means of Chebyshev orthogonal collocation which is preconditioned by a standard Galerkin finite ...
2nd International Conference on Spectral and High Order Methods (ICOSAHOM 92), Schneidesch, CR., Deville, MO.   +2 more
core   +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

Spectral collocation methods in solid mechanics

, 2022
Spectral collocation methods are advertised as a powerful tool for a numerical so- lution of boundary value problems for ordinary as well as partial differential equations.
Trnka, Ladislav
core