Results 71 to 80 of about 11,954,654 (221)
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
core
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
Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods [PDF]
, 2002 We present new symmetric fourth and sixth-order symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods. We studied compositions using several extra stages, optimising the efficiency.
Moan, P.C. +3 more
core +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
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."
core
Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems
Abstract and Applied Analysis, 2013 We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and ...
S. Z. Ahmad +3 more
doaj +1 more source
An Adaptive Multiple Shooting Strategy for Optimal Control
Optimal Control Applications and Methods, EarlyView.We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
wiley +1 more source