Results 91 to 100 of about 190,455 (220)

Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps

Fixed Point Theory and Applications, 2010
We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators.
Xue Zhiqun, Rhoades BE
doaj  

Existence and attractivity of solutions for fractional difference equations

Advances in Difference Equations, 2018
In this paper, we study a kind of difference equations with Riemann–Liouville-like fractional difference. The results on existence and attractivity are obtained by using the Picard iteration method and Schauder’s fixed point theorem.
Lu Zhang, Yong Zhou
doaj   +1 more source

Bridging Dimensions in STEAM Education: Linking 2D Function Art and 3D Modeling Using GeoGebra

School Science and Mathematics, EarlyView.
ABSTRACT This study examines a constructionist‐oriented STEAM learning activity in which Grade 11 students used GeoGebra 3D to model bridges. Building on prior work in function art, the project extended mathematical art‐making from two‐dimensional representations to three‐dimensional structures, emphasizing the use of functions, geometric ...
Guillermo Bautista Jr, Theodosia Prodromou, Thierry Dana‐Picard, Genaro Ardina, Zsolt Lavicza   +4 more
wiley   +1 more source

Gaussian–Cubic Backward Substitution Method for Fourth-Order Stream Function in Transient Two-Dimensional Incompressible Viscous Flows

Mathematics
This paper presents a meshless collocation technique for the fourth-order transient stream function formulation of the Navier–Stokes equations. The technique employs a hybrid kernel function and is augmented by the ghost point method and Picard iteration.
Ji Lin, Zonghui Zhang, Yuhui Zhang, Jun Lu   +3 more
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

Perched groundwater simulation using the picard iteration‐based always active cell method

River, Volume 5, Issue 3, Page 453-464, August 2026.
Abstract Aquitards within the vadose zone impede vertical infiltration, leading to the formation of saturated perched groundwater. Perched groundwater flows laterally along aquitards, resulting in a heterogeneous spatial distribution of groundwater recharge that significantly influences groundwater formation and evolution.
Wen Lu, Chuiyu Lu, Weichen Wu, Zhenjiang Wu, Wenjia Zhang, Qingyan Sun, Chu Wu, Lingjia Yan, Meng Ma, Rong Liu   +9 more
wiley   +1 more source

Evaluating Multimodal Emotion Recognition in Proactive Conversational Agents: A User Study

Expert Systems, Volume 43, Issue 10, October 2026.
ABSTRACT This article presents a multimodal emotion recognition module integrated into a proactive Socially Interactive Agent (SIA) powered by generative artificial intelligence. The system evaluates real‐time affective states through two distinct channels: a computer vision‐based facial recognition module and a semantic linguistic analysis engine.
Adnana Dragut, Raquel Lacuesta, F. Xavier Gaya‐Morey, Jose M. Buades‐Rubio   +3 more
wiley   +1 more source

Iteration as an avenue for mathematical exploration [PDF]

, 2013
textThis report explores several applications of iteration and the various connections that can be made to different areas of mathematics. The ties iteration has to the Wada Property, bifurcation diagram, root finding, and applications in geometry are ...
Joyoprayitno, Anne Christine
core  

The Spatiotemporal Genetic Architecture of Seed Vigor in Upland Cotton

Advanced Science, Volume 13, Issue 50, 7 September 2026.
Leveraging the semi‐automated SeedRanger platform, we profiled the germination kinetics of 356 cotton accessions at a 30‐min interval. This high‐throughput phenomic approach delineated a temporal genetic network comprising 541 stage‐specific loci. Crucially, functional validation identified FLA2 as a pivotal, auxin‐modulated regulator that orchestrates
Luyao Wang, Jie Dai, Ting Zhao, Shengjun Zhao, Hongyu Wu, Jiaying Pan, Yupeng Hao, Ke Nie, Li Yu, Yumeng Zhu, Xiangyi Zhao, Kai Huang, Mengke Zhang, Yongyan Zhao, Yaping Jiang, Siyuan Wang, Yiling Pan, Yubing Chen, Yilai Lin, Wanghong Shi, Yayuan Deng, Jin Han, Jie Li, Xuan Long, Junbin Wang, Zhiyuan Zhang, Zegang Han, Zhanfeng Si, Lei Ju, Jun Li, Tianzhen Zhang, Ji Zhou, Xueying Guan   +32 more
wiley   +1 more source

Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm

Xibei Gongye Daxue Xuebao
This paper proposes a rocket substage vertical landing guidance method based on the second-order Picard-Chebyshev-Newton type algorithm. Firstly, the continuous-time dynamic equation is discretized based on the natural second-order Picard iteration ...
TANG Jingyuan, GOU Yongjie, MA Yangyang, PAN Binfeng   +3 more
doaj   +1 more source