Results 101 to 110 of about 105,807 (283)

Fully discretized collocation methods for nonlinear singular Volterra integral equations

Journal of Computational and Applied Mathematics, 2013
We consider a nonlinear weakly singular Volterra integral equation arising from a problem studied by Lighthill (1950) [1]. A series expansion for the solution is obtained and shown to be convergent in a neighbourhood of the origin. Owing to the singularity of the solution at the origin, the global convergence order of product integration and ...
Teresa Diogo, Jingtang Ma, Magda Rebelo
openaire   +1 more source

Highly Anisotropic Quasi‐Direct Organic Metal Halide Hybrids: A Platform for Polarization‐Sensitive Optoelectronics

Advanced Materials Technologies, EarlyView.
One‐dimensional C4N2H14PbBr4 is shown to have a quasi‐direct electronic band structure and strongly anisotropic transport with polarized broadband emission. A GW/Bethe–Salpeter excited‐state force formalism, supported by polarized Raman and temperature‐dependent photoluminescence, identifies low–frequency Pb–Br phonons that drive ultrafast exciton self‐
Rijan Karkee, Rafael R. Del Grande, Yeonjoo Lee, Jinkyoung Yoo, Azza Ben‐Akacha, Biwu Ma, Michael T. Pettes, David A. Strubbe   +7 more
wiley   +1 more source

Two-Grid Methods for Nonlinear Multi-Dimensional Weakly Singular Integral Equations

Journal of Integral Equations and Applications, 1995
A two-grid iteration method for nonlinear multi-dimensional weakly singular integral equations is considered. The main result is a theorem about the convergence and the convergence rate of the studied method. The author proves for the nonlinear equation the same rate of convergence as for the linear equation.
openaire   +3 more sources

AI‐Powered Framework for Evaluating Drug Efficacy for Three‐Dimensional In Vitro Cancer Models in Robot‐Assisted Production

Advanced Robotics Research, EarlyView.
An AI‐powered, robot‐assisted framework automatically produces, images, and analyzes 3D tumor spheroids to evaluate drug efficacy. Integrated modules handle spheroid formation, live/dead staining, brightfield imaging, and automated image analysis, including spheroid segmentation, viability and metrics to assess the drug treatment efficacy. The workflow
Dalia Mahdy, Jesus Nieves, Lukas Königer, Matthias Peindl, Fabio Erhard, Marc Möllmann, Anke Klingner, Markus Münig, Bibin Babu, Thomas Schwarz, Marco Metzger, Gudrun Dandekar, Maximiliane Wußmann, Jan Hansmann   +13 more
wiley   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

Some Recent Developments in the Theory of Nonlinear Singular Integral Equations

Zeitschrift für Analysis und ihre Anwendungen, 1987
We report on some recent investigations by Soviet mathematicians and the author about nonlinear singular integral and integro-differential equations of Cauchy and Hilbert type involving large nonlinearities.
openaire   +3 more sources

Nonlocomotory Robotic Strategies for Dynamic Rotation Control in Terrestrial Robots: A Review

Advanced Robotics Research, EarlyView.
Terrestrial robots increasingly require rapid body rotation to maintain stability and agility in complex environments. This review shows nonlocomotory rotational control strategies that operate without ground contact, including reaction wheels, tails, bars, limbs, and thrusters.
Y. Liang, J. An, X. Zheng, D. Wang, S. Wang, X. Wang, P. Zhu, J. Pei, S. Li, J. Paripurana, Y. Han, Z. Tang, X. Gan, Q. He, X. Ma   +14 more
wiley   +1 more source

Echinoderm‐Inspired Autonomy for Soft‐Legged Robots

Advanced Robotics Research, EarlyView.
Inspired by echinoderms, a modular soft robot achieves autonomous phototaxis without a central controller or explicit communication. Each limb independently adapts its actuation timing through local sensing and short‐term memory. Coordination emerges purely from physical interactions, demonstrating resilience to changes in morphology, environment, and ...
Harmannus A. H. Schomaker, Jelle de Vries, Johannes T. B. overvelde   +2 more
wiley   +1 more source

Research on Chaos of Nonlinear Singular Integral Equation

Journal of Applied Mathematics and Physics, 2023
Yannan Liu, Yu Wang
openaire   +1 more source