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Relevant bibliographies by topics / Integration by parts formula

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Academic literature on the topic 'Integration by parts formula'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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Journal articles on the topic "Integration by parts formula"

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Lee, Tuo-Yeong. "A multidimensional integration by parts formula for the Henstock-Kurzweil integral." Mathematica Bohemica 133, no. 1 (2008): 63–74. http://dx.doi.org/10.21136/mb.2008.133945.

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Switkes, Jennifer. "A Quotient Rule Integration by Parts Formula." College Mathematics Journal 36, no. 1 (January 1, 2005): 58. http://dx.doi.org/10.2307/30044821.

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A. Ahmed, Tagelsir, and Van Casteren, Jan A. "Applications of the Integration By Parts Formula II." IOSR Journal of Mathematics 12, no. 04 (April 2016): 24–31. http://dx.doi.org/10.9790/5728-1204042431.

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Metafune, Giorgio, and Chiara Spina. "An Integration by Parts Formula in Sobolev Spaces." Mediterranean Journal of Mathematics 5, no. 3 (September 2008): 357–69. http://dx.doi.org/10.1007/s00009-008-0155-0.

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Guan, Qing-Yang. "Integration by Parts Formula for Regional Fractional Laplacian." Communications in Mathematical Physics 266, no. 2 (June 22, 2006): 289–329. http://dx.doi.org/10.1007/s00220-006-0054-9.

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Chang, Seung Jun, and David Skoug. "Parts formulas involving conditional Feynman integrals." Bulletin of the Australian Mathematical Society 65, no. 3 (June 2002): 353–69. http://dx.doi.org/10.1017/s0004972700020402.

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In this paper we first obtain a basic formula for the conditional analytic Feynman integral of the first variation of a functional on Wiener space. We then apply this basic result to obtain several integration by parts formulas for conditional analytic Feynman integrals and conditional Fourier-Feynman transforms.

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FUJIWARA, Daisuke. "An integration by parts formula for Feynman path integrals." Journal of the Mathematical Society of Japan 65, no. 4 (October 2013): 1273–318. http://dx.doi.org/10.2969/jmsj/06541273.

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Hang, Yongsheng, Yue Liu, Xiaoyang Xu, Yan Chen, and Shu Mo. "Sensitivity Analysis Based on Markovian Integration by Parts Formula." Mathematical and Computational Applications 22, no. 4 (October 12, 2017): 40. http://dx.doi.org/10.3390/mca22040040.

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Wang, Feng-Yu. "Integration by parts formula and applications for SPDEs with jumps." Stochastics 88, no. 5 (February 5, 2016): 737–50. http://dx.doi.org/10.1080/17442508.2016.1140765.

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Mitrea, Marius, and Mathew Muether. "An integration by parts formula in submanifolds of positive codimension." Mathematical Methods in the Applied Sciences 27, no. 14 (September 13, 2004): 1711–23. http://dx.doi.org/10.1002/mma.526.

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Dissertations / Theses on the topic "Integration by parts formula"

1

Chongo, Ambrose. "Computing the Greeks using the integration by parts formula for the Skorohod integral." Thesis, Link to the online version, 2008. http://hdl.handle.net/10019/818.

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Roelly, Sylvie, and Michèle Thieullen. "Duality formula for the bridges of a Brownian diffusion : application to gradient drifts." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2006/671/.

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In this paper, we consider families of time Markov fields (or reciprocal classes) which have the same bridges as a Brownian diffusion. We characterize each class as the set of solutions of an integration by parts formula on the space of continuous paths C[0; 1]; R-d) Our techniques provide a characterization of gradient diffusions by a duality formula and, in case of reversibility, a generalization of a result of Kolmogorov.

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Elad, Altman Henri. "Integration by parts formulae for the laws of Bessel bridges, and Bessel stochastic PDEs." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS441.

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Dans cette thèse, nous obtenons des formules d’intégration par parties pour les lois de ponts de Bessel de dimension δ > 0, étendant ainsi les formules précédemment obtenues par Zambotti dans le cas δ ≥ 3. Ceci nous permet d’identifier la structure de certaines EDP stochastiques (EDPS) ayant la loi d’un pont de Bessel de dimension δ ∈ (0, 3) pour mesure invariante, et qui étendent de manière naturelle les EDPS considérées précédemment par Zambotti dans le cas δ ≥ 3. Nous nommons ces équations EDPS de Bessel, et les écrivons à l’aide de temps locaux renormalisés. Dans les cas particuliers δ = 1, 2, en utilisant la théorie des formes de Dirichlet, nous construisons une solution d’une version faible de ces EDPS. Nous prouvons également plusieurs résultats partiels qui suggèrent que les EDPS de Bessel de paramètre δ < 3 possèdent certaines propriétés importantes: propriété de Feller forte, existence de temps locaux. Enfin, nous considérons différents modèles de pinning critiques dynamiques, discret et continu, et prouvons un résultat de tension. Nous conjecturons que ces modèles ont une même limite en loi décrite par l’EDPS de Bessel associée à δ = 1
In this thesis, we derive integration by parts formulae (IbPF) for the laws of Bessel bridges of dimension δ > 0, thus extending previous formulae obtained by Zambotti in the case δ ≥ 3. This allows us to identify the structure of some stochastic PDEs (SPDEs) having the law of a Bessel bridge of dimension δ < 3 as invariant measure, and which extend in a natural way the family of SPDEs previously considered by Zambotti for δ ≥ 3. We call these equations Bessel SPDEs, and write them using renormalized local times. In the particular cases δ = 1, 2, using Dirichlet forms, we construct a solution to a weak version of these SPDEs. We also provide several partial results suggesting that the SPDEs associated with δ < 3 should have several important properties: strong Feller property, existence of local times. Finally, we consider dynamical critical wetting models, in the discrete and in the continuum, and prove a tightness result. We conjecture that these models have a common limit in law which should be described by the Bessel SPDE associated with δ = 1

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Zeileis, Achim, and Yves Croissant. "Extended Model Formulas in R. Multiple Parts and Multiple Responses." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 2009. http://epub.wu.ac.at/1056/1/document.pdf.

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Model formulas are the standard approach for specifying the variables in statistical models in the S language. Although being eminently useful in an extremely wide class of applications, they have certain limitations including being confined to single responses and not providing convenient support for processing formulas with multiple parts. The latter is relevant for models with two or more sets of variable, e.g., regressors/instruments in instrumental variable regressions, two-part models such as hurdle models, or alternative-specific and individual-specific variables in choice models among many others. The R package Formula addresses these two problems by providing a new class "Formula" (inheriting from "formula") that accepts an additional formula operator | separating multiple parts and by allowing all formula operators (including the new |) on the left-hand side to support multiple responses.
Series: Research Report Series / Department of Statistics and Mathematics

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Yaakub, Abdul Razak Bin. "Computer solution of non-linear integration formula for solving initial value problems." Thesis, Loughborough University, 1996. https://dspace.lboro.ac.uk/2134/25381.

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This thesis is concerned with the numerical solutions of initial value problems with ordinary differential equations and covers single step integration methods. focus is to study the numerical the various aspects of Specifically, its main methods of non-linear integration formula with a variety of means based on the Contraharmonic mean (C.M) (Evans and Yaakub [1995]), the Centroidal mean (C.M) (Yaakub and Evans [1995]) and the Root-Mean-Square (RMS) (Yaakub and Evans [1993]) for solving initial value problems. the applications of the second It includes a study of order C.M method for parallel implementation of extrapolation methods for ordinary differential equations with the ExDaTa schedule by Bahoshy [1992]. Another important topic presented in this thesis is that a fifth order five-stage explicit Runge Kutta method or weighted Runge Kutta formula [Evans and Yaakub [1996]) exists which is contrary to Butcher [1987] and the theorem in Lambert ([1991] ,pp 181). The thesis is organized as follows. An introduction to initial value problems in ordinary differential equations and parallel computers and software in Chapter 1, the basic preliminaries and fundamental concepts in mathematics, an algebraic manipulation package, e.g., Mathematica and basic parallel processing techniques are discussed in Chapter 2. Following in Chapter 3 is a survey of single step methods to solve ordinary differential equations. In this chapter, several single step methods including the Taylor series method, Runge Kutta method and a linear multistep method for non-stiff and stiff problems are also considered. Chapter 4 gives a new Runge Kutta formula for solving initial value problems using the Contraharmonic mean (C.M), the Centroidal mean (C.M) and the Root-MeanSquare (RMS). An error and stability analysis for these variety of means and numerical examples are also presented. Chapter 5 discusses the parallel implementation on the Sequent 8000 parallel computer of the Runge-Kutta contraharmonic mean (C.M) method with extrapolation procedures using explicit assignment scheduling Kutta RK(4, 4) method (EXDATA) strategies. A is introduced and the data task new Rungetheory and analysis of its properties are investigated and compared with the more popular RKF(4,5) method, are given in Chapter 6. Chapter 7 presents a new integration method with error control for the solution of a special class of second order ODEs. In Chapter 8, a new weighted Runge-Kutta fifth order method with 5 stages is introduced. By comparison with the currently recommended RK4 ( 5) Merson and RK5(6) Nystrom methods, the new method gives improved results. Chapter 9 proposes a new fifth order Runge-Kutta type method for solving oscillatory problems by the use of trigonometric polynomial interpolation which extends the earlier work of Gautschi [1961]. An analysis of the convergence and stability of the new method is given with comparison with the standard Runge-Kutta methods. Finally, Chapter 10 summarises and presents conclusions on the topics discussed throughout the thesis.

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Chintamaneni, Prashantkumar. "Integration of unigraphics and cost advantage for aircraft engine parts configuaration." Ohio : Ohio University, 2000. http://www.ohiolink.edu/etd/view.cgi?ohiou1171569577.

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Chintamaneni, Prashantkumar. "INTEGRATION OF UNIGRAPHICS AND COST ADVANTAGE FOR AIRCRAFT ENGINE PARTS CONFIGURATION." Ohio University / OhioLINK, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1171569577.

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Altmayer, Martin [Verfasser]. "Quadrature of discontinuous SDE functionals using Malliavin integration by parts / Martin Altmayer." München : Verlag Dr. Hut, 2015. http://d-nb.info/1076437540/34.

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Maakestad, Helge. "Principal Parts on P^1 and Chow-groups of the classical discriminants." Doctoral thesis, KTH, Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3022.

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Altmayer, Martin [Verfasser], and Andreas [Akademischer Betreuer] Neuenkirch. "Quadrature of discontinuous SDE functionals using Malliavin integration by parts / Martin Altmayer. Betreuer: Andreas Neuenkirch." Mannheim : Universitätsbibliothek Mannheim, 2015. http://d-nb.info/1076740812/34.

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Books on the topic "Integration by parts formula"

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Zin, Ragayah Haji Mat. Poverty reduction, social integration & development: The formula for peace? Bangi: Institut Kajian Malaysia dan Antarabangsa, Universiti Kebangsaan Malaysia, 2009.

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Bally, Vlad, Lucia Caramellino, and Rama Cont. Stochastic Integration by Parts and Functional Itô Calculus. Edited by Frederic Utzet and Josep Vives. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27128-6.

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Nye, Joseph S. Peace in parts: Integration and conflict in regional organization. Lanham, MD: University Press of America, 1987.

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Parts management models and applications: A supply chain system integration perspective. New York: Springer, 2005.

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The sum is greater than the parts: Doubling shared prosperity in Indonesia through local and global integration. Jakarta: PT Gramedia Pustaka Utama, 2013.

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Meurs, Wim, Robin Bruin, Liesbeth Grift, Carla Hoetink, Karin Leeuwen, and Reijnen. The Unfinished History of European Integration. NL Amsterdam: Amsterdam University Press, 2018. http://dx.doi.org/10.5117/9789462988149.

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When the Treaty of Lisbon went into effect in December 2009, the event seemed to mark the beginning of a longer phase of institutional consolidation for the EU. Since 2010, however, the EU has faced multiple crises, which have rocked its foundations and deeply challenged the narrative of 'the end of the history of integration'. The military crisis in eastern Ukraine and the refugee crisis call for a joint approach, but in practice reveal the difficulty of maintaining even the appearance of European solidarity and political unanimity. The financial and socio-economic crisis in southern Europe and Brexit present the EU with the latest set of challenges. If seventy years of European integration have taught us anything, it is that fundamental crises as well as moments of rapid institutional change form integral parts of its history. The Unfinished History of European Integration presents the reader with historical and theoretical knowledge on which well-founded judgements can be based. This textbook on European integration history has been written as a student textbook for a bachelor's or master's programme in European integration history, as a manual for the analysis of EU sources and, finally, as an information resource for a bachelor's or master's thesis.

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Office, National Audit. Ministry of Defence: The profit formula : report by the Comptroller and Auditor General. London: H.M.S.O., 1988.

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Office, National Audit. Ministry of Defence: Profit formula for non-competitive government contracts : report by theComptroller and Auditor General. London: HMSO, 1985.

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Jonathan, Morris. Transforming buyer-supplier relations: Japanese-style industrial practices in a western context. Houndmills, Basingstoke, Hampshire: Macmillan Academic and Professional, 1992.

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Rudolph, Edgar, and Johannes Füssel. Cu Organocopper Compounds: Index Empirical Formula Index and Ligand Formula Index for Parts 1 to 4. Springer, 2013.

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Book chapters on the topic "Integration by parts formula"

1

Zambotti, Lorenzo. "Integration by Parts Formulae." In Lecture Notes in Mathematics, 109–40. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52096-4_6.

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Bally, Vlad, and Lucia Caramellino. "Construction of integration by parts formulas." In Advanced Courses in Mathematics - CRM Barcelona, 33–81. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27128-6_2.

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Kohatsu-Higa, Arturo, and Atsushi Takeuchi. "Basic Ideas for Integration by Parts Formulas." In Jump SDEs and the Study of Their Densities, 173–201. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9741-8_10.

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Bally, Vlad, and Emmanuelle Clément. "Integration by Parts Formula with Respect to Jump Times for StochasticDifferential Equations." In Stochastic Analysis 2010, 7–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15358-7_2.

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Bally, Vlad, and Lucia Caramellino. "Integration by parts formulas and the Riesz transform." In Advanced Courses in Mathematics - CRM Barcelona, 9–31. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27128-6_1.

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Li, X., P. Mikusiński, and M. D. Taylor. "Some Integration-by-Parts Formulas Involving 2-Copulas." In Distributions With Given Marginals and Statistical Modelling, 153–59. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-0061-0_16.

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Bally, Vlad. "Integration by Parts Formulas and Regularity of Probability Laws." In Stochastic Analysis: A Series of Lectures, 77–100. Basel: Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0909-2_3.

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Elworthy, K. D., and Xue-Mei Li. "A class of integration by parts formulae in stochastic analysis I." In Itô’s Stochastic Calculus and Probability Theory, 15–30. Tokyo: Springer Japan, 1996. http://dx.doi.org/10.1007/978-4-431-68532-6_2.

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Léandre, R., and J. R. Norris. "Integration by parts and Cameron-Martin formulas for the free path space of a compact Riemannian manifold." In Lecture Notes in Mathematics, 16–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0119288.

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Gordon, Russell. "Integration by parts." In Graduate Studies in Mathematics, 181–200. Providence, Rhode Island: American Mathematical Society, 1994. http://dx.doi.org/10.1090/gsm/004/12.

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Conference papers on the topic "Integration by parts formula"

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Villa, Dominic, Mark Allison, Kevin Claggett, Stuart Hopson, Timothy Hight, and Monem Beitelmal. "Formula Electric: Design and Integration." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-65214.

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A new electric power train design to power an open-wheel, single seat electric race car to compete in the 2014 SAE Formula Electric competition is presented. This research project is part of the clean technology initiative for sustainable energy sources for automotive application proposed by the Santa Clara University Formula Electric (SCUFE) team. In this paper, a new battery pack design and integration is evaluated. This includes analysis of battery cell connectivity, cell enclosure, safety system, and battery control system. The cell connectivity proposed will maximize electrical conduction through surface area contact of the cell tabs while allowing for quick removal of individual cells in the case of cell failure. The structure of the pack enclosure will consist of polycarbonate panels. The connection panels will be mounted between the wall enclosure lid and wall in order to prevent the pack from being opened when the contactors are engaged, preventing the risk of exposure to high voltage. The proposed design allows the pack to be completely removed from the vehicle for easier disassembly and transportation. The exterior connections will consist of one large plug for the power cables as well as a smaller plug assembly for the battery management system (BMS) and other necessary sensors and connections. Cell voltage states will be monitored through the BMS. In addition, maximum voltage capacity and cell storage capacity will be analyzed and discussed. Recommendations on future designs will also be presented in light of preliminary results on the efficiency versus performance.

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Studer, Christian, and Christoph Glocker. "Augmented Time-Stepping by Step-Size Adjustment and Extrapolation." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34154.

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Time-stepping schemes are widely used when integrating non-smooth systems. In this paper we discuss an augmented time-stepping scheme which uses step-size adjustment and extrapolation. The time evolution of non-smooth systems can be divided in different smooth parts, which are separated by switching points. We deduce the time-stepping method of Moreau, which is a common order-one integration method for non-smooth systems. We formulate the method using contact inclusions, and show how these inclusions can be solved by a projection. We show how time-steps which contain a switching point can be detected by observing the projection behaviour, and propose a step-size adjustment, which treats these switching time-steps with a minimal step-size Δtmin. Time-steps in smooth parts of the motion are run with a larger step-size, and an extrapolation method, which is based on the time-stepping scheme, is used to increase the integration order. The presented method is suitable for mechanical systems with unilateral and frictional contacts. For simplicity, we deduce the method considering solely mechanical systems with one unilateral contact.

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Huy, Vu Le, Joao Gaspar, Oliver Paul, and Shoji Kamiya. "Estimation of the Parameters Determining Strength and Fatigue Behaviors of Arbitrarily-Shaped Polysilicon Thin Films." In ASME 2011 Pacific Rim Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/ipack2011-52250.

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The fracture and fatigue behaviors of polysilicon thin film structures with arbitrary shapes were formulated by taking the stress distribution into account. The parameters appearing in both Weibull distribution and Paris’ law that describe the static strength and fatigue behaviors, respectively, are estimated using the maximum likelihood method on the basis of the results of tensile static fracture and fatigue tests performed on two types of polysilicon thin film specimens with different shapes fabricated using the same conditions. The difference between the fatigue lifetime distributions between the two types was well explained by applying the formula with a unique set of parameters. These results suggest that the fracture and fatigue behaviors of polysilicon thin films have a unique characteristics regardless of stress distributions.

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Gavrea, B., D. Negrut, and F. A. Potra. "The Newmark Integration Method for Simulation of Multibody Systems: Analytical Considerations." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81770.

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When simulating the behavior of a mechanical system, the time evolution of the generalized coordinates used to represent the configuration of the model is computed as the solution of a combined set of ordinary differential and algebraic equations (DAEs). There are several ways in which the numerical solution of the resulting index 3 DAE problem can be approached. The most well-known and time-honored algorithms are the direct discretization approach, and the state-space reduction approach, respectively. In the latter, the problem is reduced to a minimal set of potentially new generalized coordinates in which the problem assumes the form of a pure second order set of Ordinary Differential Equations (ODE). This approach is very accurate, but computationally intensive, especially when dealing with large mechanical systems that contain flexible parts, stiff components, and contact/impact. The direct discretization approach is less but nevertheless sufficiently accurate yet significantly faster, and it is the approach that is considered in this paper. In the context of direct discretization methods, approaches based on the Backward Differentiation Formulas (BDF) have been the traditional choice for more than 20 years. This paper proposes a new approach in which BDF methods are replaced by the Newmark formulas. Local convergence analysis is carried out for the proposed method, and step-size control, error estimation, and nonlinear system solution related issues are discussed in detail. A series of two simple models are used to validate the method. The global convergence analysis and a computational-efficiency comparison with the most widely used numerical integrator available in the MSC.ADAMS commercial simulation package are forthcoming. The new method has been implemented successfully for industrial strength Dynamic Analysis simulations in the 2005 version of the MSC.ADAMS software and used very effectively for the simulation of systems with more than 15,000 differential-algebraic equations.

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Chirikjian, Gregory S. "Parts entropy and the principal kinematic formula." In 2008 IEEE International Conference on Automation Science and Engineering (CASE 2008). IEEE, 2008. http://dx.doi.org/10.1109/coase.2008.4626465.

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Sebaaly, Milad Fares, and Hideo Fujimoto. "Genetic Planner to Support DFA Assemblability Evaluation: Insights on Integrated Design and Planning for Assembly." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dfm-1409.

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Abstract Several Design for Assembly (DFA) methodologies have already been introduced both in research and industry, among which methodologies having quantitative assemblability evaluations are more favored in industry. The evaluation criteria involved in such quantitative measures are only concerned with the difficulty of performing assembly operations one by one. These measures are then combined by a formula to find the total product evaluation. Accordingly, the designer can improve the total assemblability by redesigning the parts that caused bad measures. It can be observed that a major effect of cascading several assembly operations in a certain order on the remaining operations to complete the product assembly is neglected by most DFA evaluation methodologies. Actually, this effect might result in serious difficulties while generating the assembly sequence usually done at a later stage in most industrial firms. To overcome these difficulties, this paper introduces some elementary insights to the integration of assembly design and planning. A systematic feature-based method is introduced to find the precedence assembly constraints and the global evaluation constraints resulting from operations cascading orders. A modified genetic algorithm that finds the best assembly sequence based on these constraints and on the traditional DFA evaluations is then introduced to be included in the DFA procedure. This genetic planner generates a more representative evaluation of the product assemblability by considering the effects of operations orders. As a result, feedback reflecting the actual assembly process difficulties can be given to the designer to improve the product design, while simultaneously generating the best sequence to assemble the product.

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Tangpong, X. W., and Om P. Agrawal. "Fractional Optimal Control of Distributed Systems." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43046.

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This paper presents a formulation and a numerical scheme for Fractional Optimal Control (FOC) for a class of distributed systems. The fractional derivative is defined in the Caputo sense. The performance index of a Fractional Optimal Control Problem (FOCP) is considered as a function of both the state and the control variables, and the dynamic constraints are expressed by a Partial Fractional Differential Equation (PFDE). The scheme presented rely on reducing the equations for distributed system into a set of equations that have no space parameter. Several strategies are pointed out for this task, and one of them is discussed in detail. This involves discretizing the space domain into several segments, and writing the spatial derivatives in terms of variables at space node points. The Calculus of Variations, the Lagrange multiplier, and the formula for fractional integration by parts are used to obtain Euler-Lagrange equations for the problem. The numerical technique presented in [1] for scalar case is extended for the vector case. In this technique, the FOC equations are reduced to Volterra type integral equations. The time domain is also descretized into several segments. For the linear case, the numerical technique results into a set of algebraic equations which can be solved using a direct or an iterative scheme. The problem is solved for various order of fractional derivatives and various order of space and time discretizations. Numerical results show that for the problem considered, only a few space grid points are sufficient to obtain good results, and the solutions converge as the size of the time step is reduced. The formulation presented is simple and can be extended to FOC of other distributed systems.

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Loucks, Richard B. "The Effect of Transducer Response Rate on Thermal Radiation Data." In ASME 1993 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/cie1993-0040.

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Abstract The Thermal Radiation Source (TRS) at ARL is used as a research tool to develop a reliable TRS unit for integration with the 2.44 m probative tube. Part of this study includes measuring the rise and fall times as well as the extent of flux variation of the TRS events. The Garden type gage is the primary transducer used to measure the flux output. This gage consists of a constantan diaphragm welded to a copper wire and body. This creates two thermocouple junctions. The electrical output of the gage is linearly related to the incident thermal radiation on the face of the diaphragm. A concern is about the response rate of these gages. The typical gage used in TRS work has a response rate of one time constant within 50 ms. In the past, the transient output of the TRS was considered slow. A faster acting gage was not necessary. To test this theory, a mathematical correction formula was applied to existing TRS data. The correction formulation was to demonstrate the actual incident radiation on the gage face by assuming a response rate. The data was processed using the correction formula. The results of the correction processing yielded a higher rise and fall time, as expected, but demonstrated a much higher flux variation during a TRS event. The overall fluence remained the same. To verify the correction formula is accurate, a special gage was constructed. It has a response rate of 6 ms to the first time constant. An experiment was conducted by placing the special gage next to a regular gage. The results show the faster acting gage produces a signal that matches the corrected signal of the slower gage, with one exception. The overall fluence increased. The most profound effect of this gage is realized when attempting to improve the performance of a TRS system. By realizing the capabilities of the gages, a more accurate determination of the thermal output of future TRS systems can be assessed. This will have direct impact on future Nuclear Survivability criterion by realizing the true capabilities of TRS systems.

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Mellor, Andrew. "Integration of HANS Device within Formula One." In Motorsports Engineering Conference & Exhibition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2002. http://dx.doi.org/10.4271/2002-01-3351.

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Niemi, Antti J. "DUISTERMAAT-HECKMAN INTEGRATION FORMULA AND PATH INTEGRALS." In Proceedings of the International Seminar. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814439336_0029.

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Reports on the topic "Integration by parts formula"

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Mastangelo, Carlos H., Yogesh B. Gianchandani, and J. M. Frechet. Large-Scale Integration of Solid-State Microfluidic Valves With No Moving Parts. Fort Belvoir, VA: Defense Technical Information Center, January 2005. http://dx.doi.org/10.21236/ada430301.

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Greater than the Sum of its Parts; Electricity, Resources, & Building Systems Integration (ERBSI) (Fact Sheet). Office of Scientific and Technical Information (OSTI), November 2009. http://dx.doi.org/10.2172/969158.

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African Open Science Platform Part 1: Landscape Study. Academy of Science of South Africa (ASSAf), 2019. http://dx.doi.org/10.17159/assaf.2019/0047.

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This report maps the African landscape of Open Science – with a focus on Open Data as a sub-set of Open Science. Data to inform the landscape study were collected through a variety of methods, including surveys, desk research, engagement with a community of practice, networking with stakeholders, participation in conferences, case study presentations, and workshops hosted. Although the majority of African countries (35 of 54) demonstrates commitment to science through its investment in research and development (R&D), academies of science, ministries of science and technology, policies, recognition of research, and participation in the Science Granting Councils Initiative (SGCI), the following countries demonstrate the highest commitment and political willingness to invest in science: Botswana, Ethiopia, Kenya, Senegal, South Africa, Tanzania, and Uganda. In addition to existing policies in Science, Technology and Innovation (STI), the following countries have made progress towards Open Data policies: Botswana, Kenya, Madagascar, Mauritius, South Africa and Uganda. Only two African countries (Kenya and South Africa) at this stage contribute 0.8% of its GDP (Gross Domestic Product) to R&D (Research and Development), which is the closest to the AU’s (African Union’s) suggested 1%. Countries such as Lesotho and Madagascar ranked as 0%, while the R&D expenditure for 24 African countries is unknown. In addition to this, science globally has become fully dependent on stable ICT (Information and Communication Technologies) infrastructure, which includes connectivity/bandwidth, high performance computing facilities and data services. This is especially applicable since countries globally are finding themselves in the midst of the 4th Industrial Revolution (4IR), which is not only “about” data, but which “is” data. According to an article1 by Alan Marcus (2015) (Senior Director, Head of Information Technology and Telecommunications Industries, World Economic Forum), “At its core, data represents a post-industrial opportunity. Its uses have unprecedented complexity, velocity and global reach. As digital communications become ubiquitous, data will rule in a world where nearly everyone and everything is connected in real time. That will require a highly reliable, secure and available infrastructure at its core, and innovation at the edge.” Every industry is affected as part of this revolution – also science. An important component of the digital transformation is “trust” – people must be able to trust that governments and all other industries (including the science sector), adequately handle and protect their data. This requires accountability on a global level, and digital industries must embrace the change and go for a higher standard of protection. “This will reassure consumers and citizens, benefitting the whole digital economy”, says Marcus. A stable and secure information and communication technologies (ICT) infrastructure – currently provided by the National Research and Education Networks (NRENs) – is key to advance collaboration in science. The AfricaConnect2 project (AfricaConnect (2012–2014) and AfricaConnect2 (2016–2018)) through establishing connectivity between National Research and Education Networks (NRENs), is planning to roll out AfricaConnect3 by the end of 2019. The concern however is that selected African governments (with the exception of a few countries such as South Africa, Mozambique, Ethiopia and others) have low awareness of the impact the Internet has today on all societal levels, how much ICT (and the 4th Industrial Revolution) have affected research, and the added value an NREN can bring to higher education and research in addressing the respective needs, which is far more complex than simply providing connectivity. Apart from more commitment and investment in R&D, African governments – to become and remain part of the 4th Industrial Revolution – have no option other than to acknowledge and commit to the role NRENs play in advancing science towards addressing the SDG (Sustainable Development Goals). For successful collaboration and direction, it is fundamental that policies within one country are aligned with one another. Alignment on continental level is crucial for the future Pan-African African Open Science Platform to be successful. Both the HIPSSA ((Harmonization of ICT Policies in Sub-Saharan Africa)3 project and WATRA (the West Africa Telecommunications Regulators Assembly)4, have made progress towards the regulation of the telecom sector, and in particular of bottlenecks which curb the development of competition among ISPs. A study under HIPSSA identified potential bottlenecks in access at an affordable price to the international capacity of submarine cables and suggested means and tools used by regulators to remedy them. Work on the recommended measures and making them operational continues in collaboration with WATRA. In addition to sufficient bandwidth and connectivity, high-performance computing facilities and services in support of data sharing are also required. The South African National Integrated Cyberinfrastructure System5 (NICIS) has made great progress in planning and setting up a cyberinfrastructure ecosystem in support of collaborative science and data sharing. The regional Southern African Development Community6 (SADC) Cyber-infrastructure Framework provides a valuable roadmap towards high-speed Internet, developing human capacity and skills in ICT technologies, high- performance computing and more. The following countries have been identified as having high-performance computing facilities, some as a result of the Square Kilometre Array7 (SKA) partnership: Botswana, Ghana, Kenya, Madagascar, Mozambique, Mauritius, Namibia, South Africa, Tunisia, and Zambia. More and more NRENs – especially the Level 6 NRENs 8 (Algeria, Egypt, Kenya, South Africa, and recently Zambia) – are exploring offering additional services; also in support of data sharing and transfer. The following NRENs already allow for running data-intensive applications and sharing of high-end computing assets, bio-modelling and computation on high-performance/ supercomputers: KENET (Kenya), TENET (South Africa), RENU (Uganda), ZAMREN (Zambia), EUN (Egypt) and ARN (Algeria). Fifteen higher education training institutions from eight African countries (Botswana, Benin, Kenya, Nigeria, Rwanda, South Africa, Sudan, and Tanzania) have been identified as offering formal courses on data science. In addition to formal degrees, a number of international short courses have been developed and free international online courses are also available as an option to build capacity and integrate as part of curricula. The small number of higher education or research intensive institutions offering data science is however insufficient, and there is a desperate need for more training in data science. The CODATA-RDA Schools of Research Data Science aim at addressing the continental need for foundational data skills across all disciplines, along with training conducted by The Carpentries 9 programme (specifically Data Carpentry 10 ). Thus far, CODATA-RDA schools in collaboration with AOSP, integrating content from Data Carpentry, were presented in Rwanda (in 2018), and during17-29 June 2019, in Ethiopia. Awareness regarding Open Science (including Open Data) is evident through the 12 Open Science-related Open Access/Open Data/Open Science declarations and agreements endorsed or signed by African governments; 200 Open Access journals from Africa registered on the Directory of Open Access Journals (DOAJ); 174 Open Access institutional research repositories registered on openDOAR (Directory of Open Access Repositories); 33 Open Access/Open Science policies registered on ROARMAP (Registry of Open Access Repository Mandates and Policies); 24 data repositories registered with the Registry of Data Repositories (re3data.org) (although the pilot project identified 66 research data repositories); and one data repository assigned the CoreTrustSeal. Although this is a start, far more needs to be done to align African data curation and research practices with global standards. Funding to conduct research remains a challenge. African researchers mostly fund their own research, and there are little incentives for them to make their research and accompanying data sets openly accessible. Funding and peer recognition, along with an enabling research environment conducive for research, are regarded as major incentives. The landscape report concludes with a number of concerns towards sharing research data openly, as well as challenges in terms of Open Data policy, ICT infrastructure supportive of data sharing, capacity building, lack of skills, and the need for incentives. Although great progress has been made in terms of Open Science and Open Data practices, more awareness needs to be created and further advocacy efforts are required for buy-in from African governments. A federated African Open Science Platform (AOSP) will not only encourage more collaboration among researchers in addressing the SDGs, but it will also benefit the many stakeholders identified as part of the pilot phase. The time is now, for governments in Africa, to acknowledge the important role of science in general, but specifically Open Science and Open Data, through developing and aligning the relevant policies, investing in an ICT infrastructure conducive for data sharing through committing funding to making NRENs financially sustainable, incentivising open research practices by scientists, and creating opportunities for more scientists and stakeholders across all disciplines to be trained in data management.

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CAPACITY EVALUATION OF EIGHT BOLT EXTENDED ENDPLATE MOMENT CONNECTIONS SUBJECTED TO COLUMN REMOVAL SCENARIO. The Hong Kong Institute of Steel Construction, September 2021. http://dx.doi.org/10.18057/ijasc.2021.17.3.6.

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The extended stiffened endplate (8ES) connection is broadly used in the seismic load-resisting parts of steel structures. This connection is prequalified based on the AISC 358 standard, especially for seismic regions. To study this connection’s behaviors, in the event of accidental loss of a column, the finite element model results were verified against the available experimental data. A parametric study using the finite element method was then carried out to investigate these numerical models’ maximum capacity and effective parameters' effect on their maximum capacity in a column loss scenario. This parametric analysis demonstrated that these connections fail at the large displacement due to the catenary action mode at the rib stiffener's vicinity. The carrying capacity, PEEQ, Von-Mises stress, middle column force-displacement, critical bolt axial load, and the beam axial load curves were discussed. Finally, using the Least Square Method (LSM), a formula is presented to determine the displacement at the maximum capacity of these connections. This formula can be used in this study's presented method to determine the maximum load capacity of the 8ES connections in a column loss scenario.

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