20 papers · ranked by Valyu relevance
Nikola Mirkov, Boško Rašuo
In this article, a formulation of a point-collocation method in which the unknown function is approximated using global expansion in tensor product Bernstein polynomial basis is presented. Bernstein polynomials used in this study are defined over general interval [a, b]. Method incorporates several ideas that enable…
Ahmed M. Atallah, Ahmad Bani Younes
We study the A-stability and accuracy characteristics of Clenshaw-Curtis collocation. We present closedform expressions to evaluate the Runge-Kutta coefficients of these methods. From the A-stability study, Clenshaw-Curtis methods are A-stable up to a high number of nodes. High accuracy is another benefit of these…
Xian Ma, Yongxian Wang, Xiaoqian Zhu, Wei Liu + 3 more
'Qiang Lan' 'Yuxing Li'] The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of underwater acoustic propagation, thus their…
Shane W. Flynn, Vladimir A. Mandelshtam
We revisit the collocation method of Manzhos and Carrington (J. Chem. Phys. 145, 224110, 2016) in which a distributed localized (e.g., Gaussian) basis is used to set up a generalized eigenvalue problem to compute the eigenenergies and eigenfunctions of a molecular vibrational Hamiltonian. Although the resulting linear…
Martin Neuenhofen, Eric C. Kerrigan
— Some direct transcription methods can fail to converge, e.g. when there are singular arcs. We recently introduced a convergent direct transcription method for optimal control problems, called the penalty-barrier finite element method (PBF). PBF converges under very weak assumptions on the problem instance. PBF avoids…
Atallah El-Shenawy, Mohamed El-Gamel, Mostafa Abouelsaid
This work introduces an innovative nonlinear model of hepatitis B virus (HBV) dynamics, emphasizing the utilization of the Dickson collocation method for numerical simulation. Our method, in contrast to conventional techniques, adeptly tackles the complex interactions between the virus and the host’s immune response…
Alexandra B. Bosshard, Maël Leroux, Nicholas A. Lester, Balthasar Bickel + 2 more
Emerging data in a range of non-human animal species have highlighted a latent ability to combine certain pre-existing calls together into larger structures. Currently, however, there exists no objective quantification of call combinations. This is problematic because animal calls can co-occur with one another simply…
J Hamish M Darbyshire
This study introduces the reader to the theory of approximating the solution(s) of a non-linear, second order, ordinary differential equation (ODE) with piecewise polynomial functions by using the collocation method[3]. It then focuses on the application of the method to generate collocation approximations for the Van…
Shekar Saranya, Qasem M. Al-Mdallal, Shumaila Javed, Sivasankaran Sivanandam
'Sivasankaran Sivanandam'] A numerical treatment for the unsteady viscous-Ohmic dissipative flow of hybrid ferrofluid over a contracting cylinder is provided in this study. The hybrid ferrofluid was prepared by mixing a 50% water (H $_{2}$O) + 50% ethylene glycol $(EG)$ base fluid with a hybrid combination of magnetite…
Xiaofang Zhang, Barry Lee Reynolds, Marco Calabria
This study investigated the effectiveness, as well as EFL learners’ perceptions, of the keyword method (KWM) in comparison to the rote learning method (RLM) for the learning of English collocations. A controlled laboratory-like setting was adopted for randomly assigning participants to the KWM group (n = 15) or the RLM…
Gabriela Abadia-Doyle, Anil V. Rao
Problems with Nonsmooth Solutions Authors: ['Gabriela Abadia-Doyle' 'Anil V. Rao'] A modified form of Legendre-Gauss orthogonal direct collocation is developed for solving optimal control problems whose solutions are nonsmooth due to control discontinuities. This new method adds switch-time variables, control…
Khai Chien Lee, Muhammad Naeim Mohd Aris, Ishak Hashim, Norazak Senu
An efficient trigonometrical-fitted two-derivative multistep collocation (TF-TDMC) method using Legendre polynomials up to order five as the basis functions, has been developed for solving second-order ordinary differential equations with oscillatory solution effectively. Interpolation method of approximated power…
Joseph G. Mine, Claudia Wilke, Chiara Zulberti, Melika Bejhati + 5 more
Human communication is strikingly multi-modal, relying on vocal utterances combined with visual gestures, facial expressions and more. Recent efforts to describe multi-modal signal production in our ape relatives have shed important light on the evolutionary trajectory of this core hallmark of human language. However…
Elliot Howard-Spink, Monika Mircheva, Judith M. Burkart, Simon W. Townsend
Many animals communicate using sequences of signals, but identifying recurrent, non-random signal combinations remains methodologically challenging. Collocation analyses are increasingly popular approaches for detecting which signals animals combine at rates greater than expected by chance. However, existing methods…
Christopher L. Dembia, Nicholas A. Bianco, Antoine Falisse, Jennifer L. Hicks + 1 more
Musculoskeletal simulations of movement can provide insights needed to help humans regain mobility after injuries and design robots that interact with humans. Here, we introduce Open-Sim Moco, a software toolkit for optimizing the motion and control of musculoskeletal models built in the OpenSim modeling and simulation…
Armine Garibyan, Achim Schilling, Claudia Boehm, Alexandra Zankl + 1 more
Language is fundamentally predictable, both on a higher schematic level as well as low-level lexical items. Regarding predictability on a lexical level, collocations are frequent co-occurrences of words that are often characterized by high strength of association. So far, psycho-and neurolin guistic studies have mostly…
Xiangtao Du, Muhammad Afzaal, Hind Al Fadda
The investigation of learners’ interlanguage could greatly contribute to the teaching of English as a foreign language and the development of teaching materials. The present study investigates the collocational profiles of large-scale written production by English learners with varied L1 backgrounds and different…
Francesco Marchetti
Cross validation is an important tool in the RBF collocation setting, especially for the crucial tuning of the shape parameter related to the radial basis function. In this paper, we define a new efficient surrogate cross validation algorithm, which computes an accurate approximation of the true validation error with…
Ying Jiang
The present study investigated the effects of L1-L2 congruency, collocation type, and restriction on L2 collocational processing. Advanced Chinese learners of English and native English-speaking controls performed an online acceptability judgment task to investigate how advanced L2 learners processed congruent (sharing…
Mengchu Yu, Saisai Xu, Lianrui Yang, Shifa Chen + 1 more
Collocations typically refer to habitual word combinations, which not only occur in texts but also constitute an essential component of the mental lexicon. This study focuses on the mental lexicon of Chinese learners of English as a foreign language (EFL), investigating the representation of collocations and the…