Results 51 to 60 of about 4,172 (259)

A Fast Wavelet Collocation Method for Integral Equations on Polygons

Journal of Integral Equations and Applications, 2005
The main purpose of this paper is to develop a concrete fast wavelet collocation method for integral equations on polygons, following the general recipe given by the authors. Especially, the authors construct piecewise linear wavelets on polygons and their corresponding collocation functionals, both having vanishing moments of order two on polygons ...
Wang, Yi, Xu, Yuesheng
openaire   +2 more sources

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

Advanced 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, Martin Taylor Sobczak, Dhanush Patil, Jixin Hou, Lin Pang, Arunachalam Ramanathan, Libin Yang, Xianyan Chen, Yuval Golan, Xiaoming Zhai, Hongyue Sun, Kenan Song, Xianqiao Wang   +12 more
wiley   +1 more source

Computing continuous-time growth models with boundary conditions via wavelets [PDF]

, 2004
This paper presents an algorithm for approximating the solution of deterministic/stochastic continuous-time growth models based on the Euler's equation and the transversality conditions.
Esteban-Bravo, Mercedes, Vidal-Sanz, Jose M.   +1 more
core   +2 more sources

Haar wavelet collocation method for linear first order stiff differential equations [PDF]

ITM Web of Conferences, 2020
In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more complicated cases.
Atay, Mehmet Tarik, Mertaslan, Onur Metin, Agca, Musa Kasim, Yilmaz, Abdulkadir, Toker, Batuhan   +4 more
openaire   +2 more sources

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
wiley   +1 more source

Evaluating the African arid corridor hypothesis: A meta‐analysis including the phylogenetic and biogeographical history of Sesamothamnus

American Journal of Botany, EarlyView.
Abstract Premise We examined the African arid corridor (AAC) disjunction pattern of vascular plants between northeastern and southwestern Africa in the context of geological and climatic events since the late Miocene. We developed a phylogenetic and biogeographical framework for the arid‐adapted genus Sesamothamnus (Pedaliaceae), a classic example of ...
John G. Zaborsky, Jeffrey P. Rose, Ricardo Kriebel, Bryan T. Drew, Emily Moriarty Lemmon, Alan R. Lemmon, Kenneth J. Sytsma   +6 more
wiley   +1 more source

Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation

Axioms
We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
doaj   +1 more source

Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations

Journal of Applied Mathematics, 2020
In this paper, a collocation method using sinc functions and Chebyshev wavelet method is implemented to solve linear systems of Volterra integro-differential equations.
Ahmad Issa, Naji Qatanani, Adnan Daraghmeh   +2 more
doaj   +1 more source

An efficient wavelet-based nonlinear circuit simulation technique with model order reduction [PDF]

, 2004
This paper proposes further improvement to a novel method for the analysis and simulation of ICs recently proposed by the authors. The circuits are assumed to be subjected to input signals that have widely separated rates of variation, e.g.
Brennan, Conor, Condon, Marissa, Dautbegovic, Emira   +2 more
core   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source