Results 81 to 90 of about 11,954,701 (266)
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Rocking podium isolation systems have gained significant research interest as a method of limiting seismic demands on superstructures and eliminating residual post‐earthquake drifts through self‐centring behaviour. However, while numerous models of varying complexity, including analytical, phenomenological, and physical formulations, have been
Marawan Zaki +2 more
wiley +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.This study utilizes the Method of Manufactured Solutions (MMS) to validate high‐order compact finite‐difference schemes for 2D incompressible viscoelastic flows. By applying Oldroyd‐B and Giesekus models to a lid‐driven cavity benchmark, the researchers rigorously assessed numerical accuracy across varying Reynolds and Weissenberg numbers.
Juniormar Organista +5 more
wiley +1 more source
Additive Semi-Implicit Runge-Kutta Methods for Computing High-Speed Nonequilibrium Reactive Flows
, 2007 This paper is concerned with time-stepping numerical methods for computing stiff semi-discrete systems of ordinary differential equations for transient hypersonic flows with thermo-chemical nonequilibrium.
Xiaolin Zhong +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations
International Journal of Differential Equations, 2018 This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are ...
Hongyu Qin +3 more
doaj +1 more source
An Improved Air Film Model for Studying the Tilt Characteristics of Aerostatic Thrust Bearings
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, an improved mass‐spring model that treats the lubricating air film as distributed springs is proposed to calculate the static and dynamic angular stiffness of aerostatic thrust bearings. The proposed model refines the traditional mass‐spring model by introducing the spatially varying mechanical properties of the air film and the
Hui Zhuang, Jianguo Ding, Yu Chang
wiley +1 more source
Implicit Runge-Kutta Methods for Accelerated Unconstrained Convex Optimization
IEEE Access, 2020 Accelerated gradient methods have the potential of achieving optimal convergence rates and have successfully been used in many practical applications. Despite this fact, the rationale underlying these accelerated methods remain elusive.
Ruijuan Chen, Xiuting Li
doaj +1 more source
Runge–Kutta methods and Banach algebras
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
wiley +1 more source
Rooted Tree Analysis of Runge-Kutta Methods with Exact Treatment of Linear Terms
, 2004 "We investigate a class of time discretization schemes called “ETD Runge Kutta methods,” where the linear terms of an ordinary differential equation are treated rigorously, while the other terms are numerically integrated by a one-step method.
"Koikari, S."
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