Results 51 to 60 of about 2,254,947 (237)

Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

open access: yesMathematics, 2023
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur   +2 more
doaj   +1 more source

Ferroelectric Devices for In‐Memory and In‐Sensor Computing

open access: yesAdvanced 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   +5 more
wiley   +1 more source

Implicit High-Order Numerical Method to Solve Integral Algebraic Equations in Case of Stiff Problem

open access: yesJournal of Mathematics
Except in cases when the step size is assumed to be very small, several numerical techniques for solving the stiff equation are numerically unstable. Here, we explore numerical solution of integral algebraic equations (IAEs) in case of stiff problem. The
Qanea Azeez Abdullah   +2 more
doaj   +1 more source

An Alternative Approach of Initial Stability Analysis of Kirchhoff Plates by the Boundary Element Method

open access: yesEngineering Transactions, 2014
An initial stability of Kirchhoff plates is analysed in the paper. Proposed approach avoids Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element node.
Michał GUMINIAK
doaj   +1 more source

Approximating Solutions of Non-Linear Troesch’s Problem via an Efficient Quasi-Linearization Bessel Approach

open access: yesMathematics, 2021
Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving the non-linear Troesch’s problem.
Mohammad Izadi   +2 more
doaj   +1 more source

A Collocation-Based Multi-Configuration Time-Dependent Hartree Method Using Mode Combination and Improved Relaxation [PDF]

open access: yes, 2020
Although very useful, the original multi-configuration time-dependent Hartree (MCTDH) method has two weaknesses: (1) its cost scales exponentially with the number of atoms in the system; (2) the standard MCTDH implementation requires that the PES be in ...
Robert, Wodraszka, Tucker, Carrington
core   +1 more source

Early Retinal UCHL1 Dysregulation Coupled With Synaptic Loss Reflects Alzheimer's Disease Severity

open access: yesAdvanced Science, EarlyView.
This study identifies synapse‐enriched deubiquitinase UCHL1 as an early Aβ‐responsive regulator of retinal synaptopathy in Alzheimer's disease. Retinal UCHL1 loss accompanies excitatory synapse degeneration, p75NTR activation, and neuroinflammation, and predicts Braak stage and cognitive decline. Aβ42 fibrils trigger synaptic and UCHL1 depletion before
Altan Rentsendorj   +25 more
wiley   +1 more source

IG-LSPIA: Least Squares Progressive Iterative Approximation for Isogeometric Collocation Method

open access: yesMathematics, 2023
The isogeometric collocation method (IGA-C), which is a promising branch of isogeometric analysis (IGA), can be considered fitting the load function with the combination of the numerical solution and its derivatives.
Yini Jiang, Hongwei Lin
doaj   +1 more source

Efficient Adsorption‐Based Direct Air Capture Via Triply Periodic Minimal Surface Architectures

open access: yesAdvanced Science, EarlyView.
Architected triply periodic minimal surface (TPMS) contactors reshape direct air capture by replacing straight‐channel diffusion limits with convection‐enhanced CO2 transport. Chaotic advection thins boundary layers and exposes fast adsorption sites, enabling 70%–75% more fast sites, 114% higher productivity, and 51.8% lower energy consumption than ...
Qingyang Shao   +6 more
wiley   +1 more source

The Conical Radial Basis Function for Partial Differential Equations

open access: yesJournal of Mathematics, 2020
The performance of the parameter-free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems.
J. Zhang, F. Z. Wang, E. R. Hou
doaj   +1 more source

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