116 articles for “Numerical methods”

Research ArticleOpen accessEvery word in the titleA Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE SystemsE.R. El-Zahar, H.M. Habib, M.M. Rashidi, I.M. El-DesokyIn this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which are Multiple-Step DTM (MsDTM), Enhanced MsDTM (E-MsDTM) and MsDTM with Padé approximants (MsDTM-P). These methods can be classified as explicit one step semi-analytical numerical integration methods. The error and stability analysis of … …American Journal of Applied Sciences, Vol. 12, Issue 5 · 26 Jun 2015 · 6,955 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsThe Numerical Computation of Rational Structures and Asymptotic Standard Deviations in Causal Time Series DataConcepción González-Concepción, María Candelaria Gil-Fariña, Celina Pestano-GabinoProblem statement: The specific properties of data series are of primary importance in several sciences. In the field of time series analysis, several researchers have considered the rational approximation theory, particularly the Padé Approximation and Orthogonal Polynomials. Approach: In this study, an approach for the statistical significance of two numerical methods, the r-s and q-d algorithm, was proposed which made … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,049 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsHigher-Order Newton-Cotes FormulasPedro Americo Almeida Magalhaes Junior, Cristina Almeida MagalhaesProblem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 9,750 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsKey Structural Aspects for Adaptive Facades - Activity Progress from the EU-COST Action TU1403 ‘Structural’ Task GroupChiara Bedon, Dániel Honfi, Marcin Kozłowski et al.Adaptive facades are getting more and more widespread in modern buildings. These facade systems, among many others, need to fulfil the requirements of several structural considerations, such as structural safety, serviceability, durability, robustness and fire safety, being typically defined for standard facades and building enclosures in general. The current paper discusses special structural characteristics which need to be taken into … …International Journal of Structural Glass and Advanced Materials Research, Vol. 2, Issue 1 · 25 Jun 2018 · 13,375 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Developed Version of Conjugate Gradient Method With a New Parameter for Dai-Liao Conjugacy Condition With an Application to Solar PanelAhmad Alhawarat, Ramadan Sabra, Mehiddin Al-Baali et al.Conjugate Gradient (CG) methods are broadly employed in solving bigger-scale unconstrained optimization problems. Two famous methods are the Hestenes–Stiefel (HS) as well as Polak–Ribière–Polyak (PRP) CG methods, which usually work well in practice. However, they cannot satisfy the Global Convergence (GC) property. To retain and enhance the previous practical behavior as well as rectify the latter difficulty, this paper constructs … …Journal of Computer Science, Vol. 21, Issue 7 · 15 Jul 2025 · 3,147 accessesView PDF Cite

Research ArticleOpen accessIn the abstractEcological Function Evaluation of Soil and Water Conservation Measures for Power Transmission and Transformation Project Construction Based on Remote Sensing and it’s Improvement PathYang Han, Songsong Wang, Yanhui Yang et al.Assessing ecological functions is critical for determining the efficacy of soil and water conservation measures, especially during the development of power transmission and transformation projects. Efficient conservation practices are essential for reducing ecological effects and guaranteeing sustainable development. This research aims to create a resilient model, Ecological Function Prediction for Conservation Effectiveness (EFP-CE) that will classify conservation effectiveness as either … …American Journal of Engineering and Applied Sciences, Vol. 18, Issue 1 · 17 Mar 2025 · 7,725 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAdvantage of Classical Approximate Analytical Methods for Studying Rydberg States Over the Quantum CounterpartsEugene OksIn studies of atomic and molecular systems, approximate analytical methods play a significant role. This is because they can be used for benchmarking the results of numerical methods. Besides they offer a physical insight into the phenomena under consideration an insight impossible to achieve by numerical methods. Many approximate analytical methods were developed in such a way that each method … …Physics International, Vol. 14, Issue 1 · 2 Jul 2024 · 8,007 accessesView PDF Cite

EditorialOpen accessIn the abstractVolume 4: Face-to-Face with SGAMR-2020 AwardeesChiara Bedon, Mario D’Aniello, Flavio Stochino…New Year and new results for the SGAMR community!! The year 2021 begins with the announcement of Awardees for the first (ongoing) edition of SGAMR awards for Young Investigator (SGAMR-YRA-2020), Best Paper (SGAMR-BPA-2020) and Outstanding Reviewer (SGAMR-ORA-2020)!! In this editorial, we want further to congratulate the Winners, but also present them to our Readers, Supporters, Authors, Reviewers as well as … …International Journal of Structural Glass and Advanced Materials Research, Vol. 5, Issue 1 · 15 Feb 2021 · 7,183 accessesView PDF Cite

Research ArticleOpen accessIn the abstractExperimental and Numerical Analysis of Continuously Coupling Timber-Lightweight EPS Concrete Composite SystemNikola Perković, Vlatka Rajčić, Jure BarbalićA composite system based on concrete and timber represents a very successful engineering solution in the process of optimization of construction. Nowadays, by combining different timber products and concrete classes it is easy to achieve improved engineering features for elements in different static systems or load cases. This paper presents an overview of the research initiated by solving the problem … …International Journal of Structural Glass and Advanced Materials Research, Vol. 5, Issue 1 · 2 Feb 2021 · 6,433 accessesView PDF Cite

Research ArticleOpen accessIn the abstractStrengthening of Laminated Glass Windows against Windborne Debris ImpactXihong Zhang, Qingfei Meng, Chiara Bedon, Piotr W. SielickiThis paper presents numerical modelling to study potential mitigation methods to improve the impact resistance performance of laminated glass windows against timber windborne debris impact. A detailed numerical model of laminated glass window is generated and validated with laboratory impact tests. The influence of supporting frames made of different stiffness materials is examined. Numerical simulation shows that boundary condition has … …International Journal of Structural Glass and Advanced Materials Research, Vol. 4, Issue 1 · 16 Nov 2020 · 6,883 accessesView PDF Cite