Results 91 to 100 of about 11,022,643 (271)
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
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
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
A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model
Discrete Dynamics in Nature and Society, 2020 In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge–Kutta (FRK) method has been presented.
Muhammad Sarmad Arshad +3 more
doaj +1 more source
Machine Learning for Thermodynamic States of Notional Nonideal Energetic Mixtures
Propellants, Explosives, Pyrotechnics, EarlyView.. ABSTRACT Currently, modeling the thermodynamic states in the reaction zone of a detonating energetic mixture entails iteratively solving a set of coupled differential equations that require detailed material property information or models whose empirical parameters must be physically measured.
Sangeeth Balakrishnan +7 more
wiley +1 more source
Abstract and Applied Analysis, 2013 This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations.
Haiyan Yuan, Cheng Song
doaj +1 more source
Optimized fourth-order Runge-Kutta method for solving oscillatory problems [PDF]
, 2016 In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions.
Hussain, Kasim Abbas +7 more
core +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.The cell perturbation (CP) method mitigate mesoscale structural perturbations entering large‐eddy simulations (LES) from gray‐zone parent domains. The turbulent kinetic energy (TKE) bias‐filtering effect of CP increases with nesting ratio and is most pronounced under weakly convective conditions.
Jung‐Hee Ryu, Song‐Lak Kang
wiley +1 more source
Stochastic Bayesian Runge-Kutta method for dengue dynamic mapping. [PDF]
MethodsX, 2023 Mukhsar +7 more
europepmc +1 more source
Multi‐scale flow analysis for scale‐aware urban canopy models
Quarterly Journal of the Royal Meteorological Society, EarlyView.We found that scale‐aware models are necessary when numerical weather prediction models approach hectometric resolution, which is associated with a characteristic length‐scale of morphological heterogeneity. This morphology‐dependent length‐scale indicates that resolved and unresolved heterogeneity are equally important.
Jingzi Huang, Maarten van Reeuwijk
wiley +1 more source