Results 51 to 60 of about 11,667 (313)

The residual and the error for collocation methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We use earlier results on collocation matrices related to the solution and its derivatives in describing asymptotic relation between the error on the highest derivative and the residuals. That justifies the use of the form of the residual rather than its
A. H. Ahmed
doaj   +1 more source

Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method

open access: yesمجلة بغداد للعلوم, 2020
Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
doaj   +1 more source

CrossMatAgent: AI‐Assisted Design of Manufacturable Metamaterial Patterns via Multi‐Agent Generative Framework

open access: yesAdvanced Intelligent Discovery, EarlyView.
CrossMatAgent is a multi‐agent framework that combines large language models and diffusion‐based generative AI to automate metamaterial design. By coordinating task‐specific agents—such as describer, architect, and builder—it transforms user‐provided image prompts into high‐fidelity, printable lattice patterns.
Jie Tian   +12 more
wiley   +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

open access: yesپژوهش‌های 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   +2 more
doaj  

From Origami to Bistable and Laminate Structures: A Review for Multifunctional Applications from Structural Perspective of Shape‐Changing Structures

open access: yesAdvanced Intelligent Systems, EarlyView.
This review explores how shape‐changing structures—origami, bistable, and laminate structures—enable multifunctionality in soft robotics and metamaterials. Starting from structural design, it examines core principles, real‐world applications, and ongoing challenges.
Lingchen Kong, Yaoyao Fiona Zhao
wiley   +1 more source

Applicability of spline collocation to cordial volterra equations

open access: yesMathematical Modelling and Analysis, 2013
We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
doaj   +1 more source

An Overrange Collocation Method

open access: yesComputer Modeling in Engineering & Sciences, 2011
In this paper, a new meshless method called the overrange collocation method (ORCM) is proposed. By introducing some collocation points, which are located at outside of domain of the analyzed body, unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided.
openaire   +1 more source

BeeRootBot: A Bioinspired Robotic Probe Exhibiting Apical Growth through In Situ Soil Binding

open access: yesAdvanced Intelligent Systems, EarlyView.
This study introduces a novel method for consolidating subterranean exploration pathways in plant‐inspired robots by binding in‐situ soil with beeswax, a biobased material. This simultaneous advancement and wall‐lining process reduces penetration resistance, enhances exploration efficiency, enables communication and resource sharing, and promotes ...
Sachin Sachin   +4 more
wiley   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari   +2 more
wiley   +1 more source

Home - About - Disclaimer - Privacy