Results 61 to 70 of about 6,299 (269)

A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]

, 1997
The objective of the paper is to present a method, called the sequential regularization method (SRM), for the nonstationary incompressible Navier--Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs), and to ...
Lin, Ping
core   +1 more source

Shear waves in a nonlinear elastic cylindrical shell [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Asymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich, Bochkarev, Andrey Vladimirovich, Artamonov, Nikolay A.   +2 more
doaj   +1 more source

Compliant Pneumatic Feet with Real‐Time Stiffness Adaptation for Humanoid Locomotion

Advanced Robotics Research, EarlyView.
A compliant pneumatic foot with real‐time variable stiffness enables humanoid robots to adapt to changing terrains. Using onboard vision and pressure control, the foot modulates stiffness within each gait cycle, reducing impact forces and improving balance. The design, cast in soft silicone with embedded air chambers and Kevlar wrapping, offers durable,
Irene Frizza, Hiroshi Kaminaga, Philippe Fraisse, Gentiane Venture   +3 more
wiley   +1 more source

Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]

, 2012
We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A., Dedner, Andreas, Klöfkorn, R., Brdar, S.   +3 more
core   +1 more source

A Soft Robotic Device for Targeted Massage Therapy of Residual Limbs

Advanced Robotics Research, EarlyView.
Residual limb edema after amputation can hinder recovery and delay prosthetic fitting. This study presents a soft‐robotic wearable device that delivers sequential compression through pneumatic McKibben actuators. By replicating the principles of manual lymphatic drainage, the device generates controlled mechanotherapeutic pressure patterns, providing a
Maria Grazia Polizzotto, Alessio Capecchi, Maartje Van der Lingen, Emanuele Gruppioni, Arianna Menciassi, Linda Paternò   +5 more
wiley   +1 more source

Numerical simulation of multilane traffic flow model based on exponential velocity-density function

Partial Differential Equations in Applied Mathematics
In this paper, we study a multilane traffic flow model incorporating the exponential velocity-density relationship, which yields a nonlinear first-order system of hyperbolic partial differential (PDEs) equations formulated as an initial-boundary value ...
Md Rasel Ahmed, Bitu Joydhar, Dr. Md. Laek Sazzad Andallah, Prokriti Biswas, Jannatul Ferdous   +4 more
doaj   +1 more source

Full‐Body AI Agent: A Perspective on Multi‐Scale Collaborative AI for Systemic Biology and Precision Medicine

Advanced Science, EarlyView.
We propose the Full‐Body AI Agent, a multi‐scale collaborative framework with 7 biological‐layer agents. It unifies multi‐omics/clinical data via standardized protocols, enabling phenotype‐guided closed‐loop reasoning, quantitative evaluation, and LLM safeguards, with promising applications in tumor metastasis modeling and precision drug development ...
Aoqi Wang, Jiajia Liu, Jianguo Wen, Yangyang Luo, Zhiwei Fan, Liren Yang, Xi Hu, Ruihan Luo, Yankai Yu, Sophia Li, Weiling Zhao, Xiaobo Zhou   +11 more
wiley   +1 more source

Relative entropy methods for hyperbolic and diffusive limits [PDF]

, 2012
We review the relative entropy method in the context of hyperbolic and diffusive relaxation limits of entropy solutions for various hyperbolic models.
Tzavaras, Athanasios E., Lattanzio, Corrado   +1 more
core  

Numerical solution to nonlinear Tricomi equation using WENO schemes

Electronic Journal of Differential Equations, 2010
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu, Abdollah A. Afjeh, Carmen Sescu   +2 more
doaj  

Exploring the exact solutions to the nonlinear systems with neural networks method

Scientific Reports
This paper explores the use of Riccati subequation neural networks to solve nonlinear partial differential equations modeling complex biological processes like cancer, brain function, and wound healing.
Jan Muhammad, Ali H. Tedjani, Ejaz Hussain, Usman Younas   +3 more
doaj   +1 more source