Relevant bibliographies by topics / Summation method

Academic literature on the topic 'Summation method'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Summation method"

1

Terry, Elaine A. "Gauss's Method for Summation." Mathematics Teacher 109, no. 6 (February 2016): 480. http://dx.doi.org/10.5951/mathteacher.109.6.0480.

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Babich, V. M., and M. M. Popov. "Gaussian summation method (review)." Radiophysics and Quantum Electronics 32, no. 12 (December 1989): 1063–81. http://dx.doi.org/10.1007/bf01038632.

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Mu, Yan-Ping, and Zhi-Wei Sun. "Telescoping method and congruences for double sums." International Journal of Number Theory 14, no. 01 (November 21, 2017): 143–65. http://dx.doi.org/10.1142/s1793042118500100.

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In recent years, Sun proposed several sophisticated conjectures on congruences for finite sums with terms involving combinatorial sequences such as central trinomial coefficients, Domb numbers and Franel numbers. These sums are double summations of hypergeometric terms. Using the telescoping method and certain mathematical software packages, we transform such a double summation into a single sum. With this new approach, we confirm several open conjectures of Sun.
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Euler, Russell, and Jawad Sadek. "93.51 A ‘Sterling’ summation method." Mathematical Gazette 93, no. 528 (November 2009): 504–8. http://dx.doi.org/10.1017/s0025557200185304.

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Salles, Rafael S., Maise N. S. Silva, and Paulo F. Ribeiro. "Observations on Harmonics Summation in Transmission Systems: Alternative Aggregation Estimation." International Transactions on Electrical Energy Systems 2022 (November 3, 2022): 1–13. http://dx.doi.org/10.1155/2022/5313417.

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The aggregation of harmonic components from different sources is one of the critical and challenging assessments in electric power systems. Harmonic summation analysis and estimation is not a simple task since there will be variations because of the grid complexity, nonlinear sources, and unpredictable behaviour of harmonic currents that affect the results. An evaluation of harmonic summation using alternative methods to calculate the harmonic composition at any network point is suggested. A typical arrangement of transmission grids was modelled and used to simulate the results. This paper aims to highlight the results obtained by these alternative methods of harmonic summation and show the role of this type of analysis in transmission systems planning. The contributions are (a) illustrate how alternative methods of harmonic summation can be applied to investigate harmonic aggregation from different sources; (b) provide a case study that also discusses the harmonic aggregation effects with different locations of sources and component phase angle shifting; (c) show comparison and correlation between those alternative summations calculations with a standardized and firmly adopted method (proposed by IEC 61000-3-6). The software MATLAB/Simulink performs simulation and analysis. Finally, the work discusses the findings.
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Fujikawa, T., R. Yanagisawa, and N. Yiwata. "Partial Summation Method for XANES Calculation." Le Journal de Physique IV 7, no. C2 (April 1997): C2–99—C2–102. http://dx.doi.org/10.1051/jp4/1997044.

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Jenkins, Lynne D., and A. M. Cohen. "A method for double series summation." International Journal of Computer Mathematics 29, no. 2-4 (January 1989): 195–200. http://dx.doi.org/10.1080/00207168908803759.

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Beex, L. A. A., R. H. J. Peerlings, and M. G. D. Geers. "Central summation in the quasicontinuum method." Journal of the Mechanics and Physics of Solids 70 (October 2014): 242–61. http://dx.doi.org/10.1016/j.jmps.2014.05.019.

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Belokurov, V. V., Yu P. Solov'ev, and E. T. Shavgulidze. "A summation method for divergent series." Russian Mathematical Surveys 54, no. 3 (June 30, 1999): 626–27. http://dx.doi.org/10.1070/rm1999v054n03abeh000156.

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Kosmus, W. "Summation Method for Monitoring Nitrogen Oxides." International Journal of Environmental Analytical Chemistry 22, no. 3-4 (October 1985): 269–79. http://dx.doi.org/10.1080/03067318508076426.

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Dissertations / Theses on the topic "Summation method"

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Andersson, Johan. "Summation formulae and zeta functions." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1074.

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SOARES, ALBERTO. "A MODEL POWER FLOWS BASED ON THE POWER SUMMATION METHOD." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1992. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8982@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Este trabalho apresenta uma metodologia para o cálculo de Fluxo de Potência em redes radiais através do Método de Soma de Potências, que explora as características dos parâmetros da rede bem como a sua topologia, constituindo- se em um método bastante rápido e robusto. Propõe-se também uma nova metodologia para o controle de tensão na rede através de rotinas de sensibilidade visando a efetuação de manobras ou cortes de carga na rede. São apresentados testes com sistemas realistas.
This work presents a methodology for radial power flows based on the power Summation Method, able to exploit the network particular characteristics in order to achieve accuracy and efficiency. This work also presents a novel model for radial network control based on sensitivity coefficients that evaluate load transfer or curtailment effects on network performance. Some tests with realistic systems are presented.
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Aggarwal, Keshav. "Subconvexity Bounds and Simplified Delta Methods." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1555064743753817.

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Belo, Eduardo Morgado. "The use of the complex summation method for formulating algorithms for decoupling vertical/horizontal motions of rolling aircraft." Thesis, University of Southampton, 1987. https://eprints.soton.ac.uk/52286/.

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Pippig, Michael. "Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods: Massiv parallele schnelle Fourier-Transformationen und Teilchen-Gitter-Methoden." Doctoral thesis, Universitätsverlag der Technischen Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20398.

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The present thesis provides a modularized view on the structure of fast numerical methods for computing Coulomb interactions between charged particles in three-dimensional space. Thereby, the common structure is given in terms of three self-contained algorithmic frameworks that are built on top of each other, namely fast Fourier transform (FFT), nonequispaced fast Fourier transform (NFFT) and NFFT based particle-mesh methods (P²NFFT). For each of these frameworks algorithmic enhancement and parallel implementations are presented with special emphasis on scalability up to hundreds of thousands of parallel processes. In the context of FFT massively parallel algorithms are composed from hardware adaptive low level modules provided by the FFTW software library. The new algorithmic NFFT concepts include pruned NFFT, interlacing, analytic differentiation, and optimized deconvolution in Fourier space with respect to a mean square aliasing error. Enabled by these generalized concepts it is shown that NFFT provides a unified access to particle-mesh methods. Especially, mixed-periodic boundary conditions are handled in a consistent way and interlacing can be incorporated more efficiently. Heuristic approaches for parameter tuning are presented on the basis of thorough error estimates.
Die vorliegende Dissertation beschreibt einen modularisierten Blick auf die Struktur schneller numerischer Methoden für die Berechnung der Coulomb-Wechselwirkungen zwischen Ladungen im dreidimensionalen Raum. Die gemeinsame Struktur ist geprägt durch drei selbstständige und auf einander aufbauenden Algorithmen, nämlich der schnellen Fourier-Transformation (FFT), der nicht äquidistanten schnellen Fourier-Transformation (NFFT) und der NFFT-basierten Teilchen-Gitter-Methode (P²NFFT). Für jeden dieser Algorithmen werden Verbesserungen und parallele Implementierungen vorgestellt mit besonderem Augenmerk auf massiv paralleler Skalierbarkeit. Im Kontext der FFT werden parallele Algorithmen aus den Hardware adaptiven Modulen der FFTW Softwarebibliothek zusammengesetzt. Die neuen NFFT-Konzepte beinhalten abgeschnittene NFFT, Versatz, analytische Differentiation und optimierte Entfaltung im Fourier-Raum bezüglich des mittleren quadratischen Aliasfehlers. Mit Hilfe dieser Verallgemeinerungen bietet die NFFT einen vereinheitlichten Zugang zu Teilchen-Gitter-Methoden. Insbesondere gemischt periodische Randbedingungen werden einheitlich behandelt und Versatz wird effizienter umgesetzt. Heuristiken für die Parameterwahl werden auf Basis sorgfältiger Fehlerabschätzungen angegeben.
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Le, Bel Paul David. "Performance Evaluation of a Low Impact Development Retrofit for Urban Stormwater Treatment." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/48656.

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The goal of Low Impact Development (LID) is to mimic the pre-development hydrologic regime of a catchment through infiltration, filtration, storage, evaporation, and detention of post-development runoff using small-scale hydrologic controls close to the source. A LID facility located in Northern Virginia was examined for pollutant removal and hydrologic performance. The treatment train included four in-line grass swales followed by a bioretention cell with a gravel base. The facility retained 85% of the rainfall. Influent and effluent pollutant loads were calculated using three common substitution methods for datasets censored by values below the analytical detection limit. The Summation of Loads (SOL) method was used to facilitate understanding of how data censoring affected performance results when substitution methods were used. The SOL analysis showed positive removal performance for most nutrient species, sediment, oxygen demanding substances, selected trace metals and total petroleum hydrocarbons. Negative performance was observed for oxidized nitrogen, total dissolved solids and oil & grease. LID facility influent and effluent loads were also compared using the Effluent Probability Method (EPM). The EPM analysis showed statistically significant (p d 0.05) pollutant load removal performance over the entire range of sampled events for total suspended solids, total phosphorus, total nitrogen, total Kjeldahl nitrogen, ammonia nitrogen, chemical oxygen demand, copper, zinc and alkalinity. EPM analysis did not show significant removals of oxidized nitrogen, total dissolved solids, orthophosphate phosphorus and hardness.
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Simko, Andrew Jack. "Performance Analysis of an Urban Stormwater Best Management Practice Retrofit." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/64931.

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Historically, the primary objective of traditional stormwater best management practices (BMPs) was to attenuate peak runoff discharges from urban areas. There has been growing demand to construct BMPs that improve stormwater runoff quality to reduce pollutant loading into downstream water bodies. A BMP located in Herndon, Virginia was retrofitted in 2009. Previously a dry detention pond, the new BMP design contains permanent wet pools as well as elements of Low Impact Development practices. A performance analysis was conducted on the retrofit to determine if the BMP was removing pollutants from stormwater runoff. Two mass-based methods were utilized for the performance analysis: the Summation of Loads Method and Effluent Probability Method. The Kaplan-Meier method and Robust Regression on ordered statistics (ROS) were used to make it possible to include censored datasets in the analysis. Analysis with the SOL method showed removal of suspended sediment, nitrogen, iron, and copper. Export of dissolved solids, phosphorus, organic carbon, and manganese was observed. The results of the Effluent Probability Method showed statistically significant reductions of sediment, iron, and copper across the entire range of monitored storm event sizes (p-value≤0.05). There was no statistical difference between the influent and effluent loads of nitrogen. Negative performance of dissolved solids, phosphorus, organic carbon, and manganese were observed for the entire range of monitored storm event sizes. The results of both methods indicated that the BMP retrofit is effectively removing sediment but failing to achieve significant nutrient reductions. This may be due to the creation of anoxic conditions from the oxygen demand of the micropool sediments and microbial degradation of vegetation within the BMP. Removal of the sediment bed and harvesting of the vegetation would likely improve the performance of the BMP.
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Pippig, Michael. "Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods." Doctoral thesis, Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-197359.

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The present thesis provides a modularized view on the structure of fast numerical methods for computing Coulomb interactions between charged particles in three-dimensional space. Thereby, the common structure is given in terms of three self-contained algorithmic frameworks that are built on top of each other, namely fast Fourier transform (FFT), nonequispaced fast Fourier transform (NFFT) and NFFT based particle-mesh methods (P²NFFT). For each of these frameworks algorithmic enhancement and parallel implementations are presented with special emphasis on scalability up to hundreds of thousands of parallel processes. In the context of FFT massively parallel algorithms are composed from hardware adaptive low level modules provided by the FFTW software library. The new algorithmic NFFT concepts include pruned NFFT, interlacing, analytic differentiation, and optimized deconvolution in Fourier space with respect to a mean square aliasing error. Enabled by these generalized concepts it is shown that NFFT provides a unified access to particle-mesh methods. Especially, mixed-periodic boundary conditions are handled in a consistent way and interlacing can be incorporated more efficiently. Heuristic approaches for parameter tuning are presented on the basis of thorough error estimates
Die vorliegende Dissertation beschreibt einen modularisierten Blick auf die Struktur schneller numerischer Methoden für die Berechnung der Coulomb-Wechselwirkungen zwischen Ladungen im dreidimensionalen Raum. Die gemeinsame Struktur ist geprägt durch drei selbstständige und auf einander aufbauenden Algorithmen, nämlich der schnellen Fourier-Transformation (FFT), der nicht äquidistanten schnellen Fourier-Transformation (NFFT) und der NFFT-basierten Teilchen-Gitter-Methode (P²NFFT). Für jeden dieser Algorithmen werden Verbesserungen und parallele Implementierungen vorgestellt mit besonderem Augenmerk auf massiv paralleler Skalierbarkeit. Im Kontext der FFT werden parallele Algorithmen aus den Hardware adaptiven Modulen der FFTW Softwarebibliothek zusammengesetzt. Die neuen NFFT-Konzepte beinhalten abgeschnittene NFFT, Versatz, analytische Differentiation und optimierte Entfaltung im Fourier-Raum bezüglich des mittleren quadratischen Aliasfehlers. Mit Hilfe dieser Verallgemeinerungen bietet die NFFT einen vereinheitlichten Zugang zu Teilchen-Gitter-Methoden. Insbesondere gemischt periodische Randbedingungen werden einheitlich behandelt und Versatz wird effizienter umgesetzt. Heuristiken für die Parameterwahl werden auf Basis sorgfältiger Fehlerabschätzungen angegeben
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Tameling, Daniel Verfasser], Ahmed E. [Akademischer Betreuer] Ismail, Paolo [Akademischer Betreuer] Bientinesi, and Alexander [Akademischer Betreuer] [Mitsos. "Design, implementation, and error analysis of the multilevel summation method for dispersion / Daniel Tameling ; Ahmed E. Ismail, Paolo Bientinesi, Alexander Mitsos." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1162900377/34.

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Tameling, Daniel [Verfasser], Ahmed E. Akademischer Betreuer] Ismail, Paolo [Akademischer Betreuer] Bientinesi, and Alexander [Akademischer Betreuer] [Mitsos. "Design, implementation, and error analysis of the multilevel summation method for dispersion / Daniel Tameling ; Ahmed E. Ismail, Paolo Bientinesi, Alexander Mitsos." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1162900377/34.

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Books on the topic "Summation method"

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Ross, Bertram. Methods of summation. Koriyama, Japan: Descartes Press, 1987.

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Ross, Bertram. Methods of summation. Koriyama: Descartes Press, 1987.

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1925-, Lundqvist Stig, ed. Path summation: Achievements and goals : proceedings of the Adriatico Research Conference on "Path Integral Method with Applications", Trieste, 1-4 September, 1987. Singapore: World Scientific, 1988.

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Slevin, Oliver. Summative evaluation: Theory, method and practice. Belfast: National Board for Nursing, Midwifery and Health Visiting for Northern Ireland, 1999.

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Arteca, G. A. Large order perturbation theory and summation methods in quantum mechanics. Berlin: Springer-Verlag, 1990.

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Arteca, G. A., F. M. Fernández, and E. A. Castro. Large Order Perturbation Theory and Summation Methods in Quantum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-93469-8.

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Arteca, G. A. Large Order Perturbation Theory and Summation Methods in Quantum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990.

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Adriatico Research Conference on Path Integral Method With applicatio. Path Summation: Achievements and Goals : Proceedings of the Adriatico Research Conference on Path Integral Method With Applications. World Scientific Pub Co Inc, 1988.

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Allen, Michael P., and Dominic J. Tildesley. Long-range forces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0006.

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A wide variety of special techniques for handling long-range forces are explained in this chapter. This includes the traditional Ewald sum, and the particle-mesh methods that use a discrete Fourier transform. A number of techniques based on spherical truncation such as the Wolf method, the isotropic periodic sum and the reaction field are also considered. Techniques for larger systems such as the fast-multipole method, the multilevel summation approach, and the direct solution of Maxwell’s equations, are explained. The advantages and disadvantages of the different approaches are reviewed, and a number of methods for tackling long-range forces in inhomogeneous systems, particularly in a slab geometry, are presented.
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He, Tian Xiao. Methods for the Summation of Series. Taylor & Francis Group, 2022.

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Book chapters on the topic "Summation method"

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Koepf, Wolfram. "The Wilf-Zeilberger Method." In Hypergeometric Summation, 103–16. London: Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6464-7_6.

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Koepf, Wolfram. "The Wilf-Zeilberger Method." In Hypergeometric Summation, 80–92. Wiesbaden: Vieweg+Teubner Verlag, 1998. http://dx.doi.org/10.1007/978-3-322-92918-1_7.

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Mondal, Ranjan Kumar, Payel Ray, Enakshmi Nandi, Biswajit Biswas, Manas Kumar Sanyal, and Debabrata Sarddar. "Load Balancing of Unbalanced Matrix with Summation Method." In Advances in Intelligent Systems and Computing, 503–10. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7563-6_52.

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Munjal, Alka. "Absolute Linear Method of Summation for Orthogonal Series." In Trends in Mathematics, 41–54. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-19082-7_4.

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Chu, Pei, Yang Li, Hua Jiang, Kanglian Zhao, and Sidan Du. "Sub-matrix Summation Method for Adaptive Dimming LED Backlight." In Lecture Notes in Electrical Engineering, 217–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27287-5_35.

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Wang, J. S., O. Kozan, and R. H. Swendsen. "Binary Tree Summation Monte Carlo Method for Potts Models." In Springer Proceedings in Physics, 189–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55522-0_22.

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Arteca, G. A., F. M. Fernández, and E. A. Castro. "Generalization of the Functional Method as a Summation Technique of Perturbation Series." In Lecture Notes in Chemistry, 330–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-93469-8_14.

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Berenstein, Carlos A., and Roger Gay. "Summation Methods." In Complex Analysis and Special Topics in Harmonic Analysis, 299–352. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4613-8445-8_5.

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Han, Ling, Tingting Wu, Zhiheng Liu, and Qing Liu. "Cloud Detection in Landsat Imagery Using the Fractal Summation Method and Spatial Point-Pattern Analysis." In Geo-informatics in Sustainable Ecosystem and Society, 201–7. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-7025-0_21.

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Dashek, William V. "Summation." In Methods in Plant Electron Microscopy and Cytochemistry, 293–94. Totowa, NJ: Humana Press, 2000. http://dx.doi.org/10.1007/978-1-59259-232-6_21.

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Conference papers on the topic "Summation method"

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Ergenc, Ali Fuat, Nejat Olgac, and Hassan Fazelinia. "Kronecker Summation Method and Multiple Delay Systems." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377120.

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Leye, P. O., A. Khenchaf, and P. Pouliguen. "RCS complex target, Gaussian beam summation method." In 2016 10th European Conference on Antennas and Propagation (EuCAP). IEEE, 2016. http://dx.doi.org/10.1109/eucap.2016.7481730.

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Sun, Jianguo, and Xiulin Shi. "Depth migration by the delta packet summation method." In SEG Technical Program Expanded Abstracts 2016. Society of Exploration Geophysicists, 2016. http://dx.doi.org/10.1190/segam2016-13857388.1.

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Hora, Thompson Nery, Thiago Lopes Alencar de Carvalho, and Niraldo Roberto Ferreira. "Power summation method for distribution networks with voltage regulators." In 2018 Simposio Brasileiro de Sistemas Eletricos (SBSE) [VII Brazilian Electrical Systems Symposium (SBSE)]. IEEE, 2018. http://dx.doi.org/10.1109/sbse.2018.8395760.

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Groß, C., S. Buske, R. Fritschen, M. Bock, R. Giese, and M. Bischoff. "Location of Seismic Events with the Diffraction-summation Method." In 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011. Netherlands: EAGE Publications BV, 2011. http://dx.doi.org/10.3997/2214-4609.20149508.

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Popov, M., N. Semtchenok, P. Popov, and A. Verdel. "The Gaussian beam summation method and its applications in geophysics." In 71st EAGE Conference and Exhibition - Workshops and Fieldtrips. European Association of Geoscientists & Engineers, 2009. http://dx.doi.org/10.3997/2214-4609.201404978.

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Ogami, Yoshifumi. "A VORTEX METHOD FOR HEAT-VORTEX INTERACTION AND FAST SUMMATION TECHNIQUE." In Selected Papers of the First International Conference on Vortex Methods. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793232_0017.

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Sun, F., K. Yang, and B. Hung. "A Ghost Prediction Based OBC PZ Summation Method for Comolex Seabed." In 77th EAGE Conference and Exhibition 2015. Netherlands: EAGE Publications BV, 2015. http://dx.doi.org/10.3997/2214-4609.201413353.

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Ghanmi, H., A. Khenchaf, P. Pouliguen, and P. O. Leye. "RCS of Radar Targets using Gaussian Beam Summation Method. Experimental Evaluation." In 2018 19th International Radar Symposium (IRS). IEEE, 2018. http://dx.doi.org/10.23919/irs.2018.8448088.

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Tovkach, Roman, Andrii Musienko, and Valerii Zavgorodnii. "Checking the Regularity of the Linear Method of Summation Fourier Series." In 2022 IEEE 3rd International Conference on System Analysis & Intelligent Computing (SAIC). IEEE, 2022. http://dx.doi.org/10.1109/saic57818.2022.9922989.

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Reports on the topic "Summation method"

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Messner, M. C., and T. L. Sham. Development of a multiaxial deformation measure and creep-fatigue damage summation for multiple load cycle types in support of an improved creep-fatigue design method. Office of Scientific and Technical Information (OSTI), June 2019. http://dx.doi.org/10.2172/1601810.

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Williams, James H., Nagem Jr., Yeung Raymond J., and Hubert K. Comparison of Wave-Mode Coordinate and Pulse Summation Methods. Fort Belvoir, VA: Defense Technical Information Center, December 1986. http://dx.doi.org/10.21236/ada177795.

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Bond, Stephen D. Multilevel summation methods for efficient evaluation of long-range pairwise interactions in atomistic and coarse-grained molecular simulation. Office of Scientific and Technical Information (OSTI), January 2014. http://dx.doi.org/10.2172/1147669.

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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, July 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden engineering participation. Knowledge generated around using peer-facilitated instruction at two-year colleges can improve underrepresented students' success and participation in engineering across a broad range of institutions. Students in the program participated in peer-facilitated recitation sessions linked to fundamental engineering courses, such as engineering analysis, statics, and dynamics. These courses have the highest failure rate among women and underrepresented minority students. As a mixed-methods evaluation study, student engagement was measured as students' comfort with asking questions, collaboration with peers, and applying mathematics concepts. SPSS was used to analyze pre-and post-surveys for statistical significance. Qualitative data were collected through classroom observations and focus group sessions with recitation leaders. Semi-structured interviews were conducted with faculty members and students to understand their experiences in the program. Findings revealed that women students had marginalization and intimidation perceptions primarily from courses with significantly more men than women. However, they shared numerous strategies that could support them towards success through the engineering pathway. Women and underrepresented students perceived that they did not have a network of peers and faculty as role models to identify within engineering disciplines. The recitation sessions had a positive social impact on Hispanic women. As opportunities to collaborate increased, Hispanic womens' social engagement was expected to increase. This social engagement level has already been predicted to increase women students' persistence and retention in engineering and result in them not leaving the engineering pathway. An analysis of quantitative survey data from students in the three engineering courses revealed a significant effect of race and ethnicity for comfort in asking questions in class, collaborating with peers outside the classroom, and applying mathematical concepts. Further examination of this effect for comfort with asking questions in class revealed that comfort asking questions was driven by one or two extreme post-test scores of Asian students. A follow-up ANOVA for this item revealed that Asian women reported feeling excluded in the classroom. However, it was difficult to determine whether these differences are stable given the small sample size for students identifying as Asian. Furthermore, gender differences were significant for comfort in communicating with professors and peers. Overall, women reported less comfort communicating with their professors than men. Results from student metrics will inform faculty professional development efforts to increase faculty support and maximize student engagement, persistence, and retention in engineering courses at community colleges. Summative results from this project could inform the national STEM community about recitation support to further improve undergraduate engineering learning and educational research.
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