Results 91 to 100 of about 11,954,701 (266)
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
Numerical results for a parallel linearly-implicit Runge-Kutta method
, 2007 Zusammenfassung Numerical results for a parallel linearly--implicit Runge--Kutta method. For the parallelization of implicit Runge--Kutta methods for stiff ODE's a parallel computation of the stages is obvious.
Jürgen Bruder +2 more
core
Supplement: efficient weak second-order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations [PDF]
, 2010 This paper gives a modification of a class of stochastic Runge–Kutta methods proposed in a paper by Komori (2007).
コモリ, ヨシオ +11 more
core +2 more sources
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
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
Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations
Abstract and Applied Analysis, 2014 The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations.
Wei Gu, Ming Wang, Dongfang Li
doaj +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
Explicit radial basis function Runge-Kutta methods [PDF]
The aim of this paper is to design the explicit radial basis function (RBF) Runge-Kutta methods for the initial value problem. We construct the two-, three- and four-stage RBF Runge-Kutta methods based on the Gaussian RBF Euler method with the shape ...
Gu, Jiaxi, Jung, Jae-Hun, Chen, Xinjuan
core +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Quadrupedal robots operating in unstructured environments require adaptive control systems that can handle diverse terrain conditions without prior surface characterization. This paper presents an integrated control architecture that combines Model Predictive Control (MPC) with adaptive impedance control and SINDy‐based model corrections for ...
Peter James McConnellogue +4 more
wiley +1 more source