Готові списки джерел за темами / Convergence order

Добірка наукової літератури з теми "Convergence order"

Автор: Grafiati

Опубліковано: 7 липня 2024

Оновлено: 7 липня 2024

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Статті в журналах з теми "Convergence order":

AYDIN, ABDULLAH, MUHAMMED ÇINAR та MIKAIL ET. "(V, λ)-ORDER SUMMABLE IN RIESZ SPACES". Journal of Science and Arts 21, № 3 (30 вересня 2021): 639–48. http://dx.doi.org/10.46939/j.sci.arts-21.3-a04.

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Statistical convergence is an active area, and it appears in a wide variety of topics. However, it has not been studied extensively in Riesz spaces. There are a few studies about the statistical convergence on Riesz spaces, but they only focus on the relationship between statistical and order convergences of sequences in Riesz spaces. In this paper, we introduce the notion of (V, λ)-order summable by using the concept of λ- statistical monotone and the λ-statistical order convergent sequences in Riesz spaces. Moreover, we give some relations between (V, λ)-order summable and λ-statistical order convergence.

Argyros, I. K., and S. George. "Comparison between some sixth convergence order solvers." Issues of Analysis 27, no. 3 (November 2020): 54–65. http://dx.doi.org/10.15393/j3.art.2020.8690.

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Khurana, Surjit Singh. "Order convergence of vector measures on topological spaces." Mathematica Bohemica 133, no. 1 (2008): 19–27. http://dx.doi.org/10.21136/mb.2008.133944.

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Potra, F. A. "OnQ-order andR-order of convergence." Journal of Optimization Theory and Applications 63, no. 3 (December 1989): 415–31. http://dx.doi.org/10.1007/bf00939805.

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Ebrahimzadeh, Masoumeh, and Kazem Haghnejad Azar. "Unbounded Order Convergence in Ordered Vector Spaces." Journal of Mathematics 2024 (April 29, 2024): 1–6. http://dx.doi.org/10.1155/2024/9960246.

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We consider an ordered vector space X. We define the net xα⊆X to be unbounded order convergent to x (denoted as xα⟶uox). This means that for every 0≤y∈X, there exists a net yβ (potentially over a different index set) such that yβ↓0, and for every β, there exists α0 such that ±xα−xu,yl⊆yβl whenever α≥α0. The emergence of a broader convergence, stemming from the recognition of more ordered vector spaces compared to lattice vector spaces, has prompted an expansion and broadening of discussions surrounding lattices to encompass additional spaces. We delve into studying the properties of this convergence and explore its relationships with other established order convergence. In every ordered vector space, we demonstrate that under certain conditions, every uo-convergent net implies uo-Cauchy, and vice versa. Let X be an order dense subspace of the directed ordered vector space Y. If J⊆Y is a uo-band in Y, then we establish that J∩X is a uo-band in X.

Kaplan. "ON UNBOUNDED ORDER CONVERGENCE." Real Analysis Exchange 23, no. 1 (1997): 175. http://dx.doi.org/10.2307/44152839.

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van der Walt, Jan Harm. "The order convergence structure." Indagationes Mathematicae 21, no. 3-4 (August 2011): 138–55. http://dx.doi.org/10.1016/j.indag.2011.02.004.

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Fleischer, Isidore. "Order-Convergence in Posets." Mathematische Nachrichten 142, no. 1 (1989): 215–18. http://dx.doi.org/10.1002/mana.19891420114.

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Yihui, Zhou, and Zhao Bin. "Order-convergence and lim-infM-convergence in posets." Journal of Mathematical Analysis and Applications 325, no. 1 (January 2007): 655–64. http://dx.doi.org/10.1016/j.jmaa.2006.02.016.

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Beyer, W. A., B. R. Ebanks, and C. R. Qualls. "Convergence rates and convergence-order profiles for sequences." Acta Applicandae Mathematicae 20, no. 3 (September 1990): 267–84. http://dx.doi.org/10.1007/bf00049571.

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Дисертації з теми "Convergence order":

Van, der Walt Jan Harm. "Order convergence on Archimedean vector lattices and applications." Pretoria : [s.n.], 2006. http://upetd.up.ac.za/thesis/available/etd-02062006-130754.

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Liang, Jingwei. "Convergence rates of first-order operator splitting methods." Caen, 2016. http://www.theses.fr/2016CAEN2024.

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Ce manuscrit traite de l’analyse de convergence des méthodes du premier ordre d’éclatement d’opérateurs qui sont omniprésents en optimisation non-lisse moderne. Il consiste en trois avancées théoriques principales sur la caractérisation des cette classe de méthodes, à savoir: leur taux de convergence globaux, de nouveaux schémas d’éclatement et une analyse de leur convergence linéaire locale. Dans un premier temps, nous proposons des taux de convergence globaux (sous-linéaires) et locaux (linéaire) pour l’itération de Krasnosel’ski˘ı-Mann inexacte, et ses applications à un large éventail de schémas d’éclatement d’opérateurs monotones. Ensuite, nous mettons au point deux algorithmes inertiels multi-pas d’éclatement d’opérateurs, pour le cas convexe et non-convexe, et établissons leurs garanties de convergence sur les itérées. Finalement, on s’appuyant sur le concept clé de la régularité partielle, nous présentons une analyse unifiée et précise de la convergence linéaire locale pour les méthodes d’optimisation proximales du premier ordre. Nous montrons que pour tous ces algorithmes, sous des conditions de non-dégénérescence appropriées, les itérées qu’ils génèrent (i) identifie les variétés actives de régularité partielle en temps finis, et ensuite (ii) entre dans un régime de convergence linéaire locale. Les taux de convergence linéaire sont caractérisés précisément, notamment en mettant en jeu la structure du problème d’optimisation, celle du schéma proximal, et la géométrie des variétés actives identifiées. Ces résultats théoriques sont systématiquement illustrés sur des applications issues des problèmes inverses, du traitement du signal et des images et de l’apprentissage
This manuscript is concerned with convergence analysis of first-order operator splitting methods that are ubiquitous in modern non-smooth optimization. It consists of three main theoretical advances on this class of methods, namely global convergence rates, novel operator splitting schemes and local linear convergence. First, we propose global (sub-linear) and local (linear) convergence rates for the inexact \KM iteration built from non-expansive operators, and its application to a variety of monotone splitting schemes. Then we design two novel multi-step inertial operator splitting algorithms, both in the convex and non-convex settings, and establish their global convergence. Finally, building on the key concept of partial smoothness, we present a unified and sharp local linear convergence analysis for the class of first-order proximal splitting methods for optimization. We show that for all these algorithms, under appropriate non-degeneracy conditions, the iterates generated by each of these methods will (i) identify the involved partial smooth manifolds in finite time, and then (ii) will enter a local linear convergence regime. The linear convergence rates are characterized precisely based on the structure of the optimization problem, that of the proximal splitting scheme, and the geometry of the identified active manifolds. Our theoretical findings are systematically illustrated on applications arising from inverse problems, signal/image processing and machine learning

Wang, Yuan. "Convergence and Boundedness of Probability-One Homotopies for Model Order Reduction." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30716.

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The optimal model reduction problem is an inherently nonconvex problem and thus provides a nontrivial computational challenge. This study systematically examines the requirements of probability-one homotopy methods to guarantee global convergence. Homotopy algorithms for nonlinear systems of equations construct a continuous family of systems, and solve the given system by tracking the continuous curve of solutions to the family. The main emphasis is on guaranteeing transversality for several homotopy maps based upon the pseudogramian formulation of the optimal projection equations and variations based upon canonical forms. These results are essential to the probability-one homotopy approach by guaranteeing good numerical properties in the computational implementation of the homotopy algorithms.
Ph. D.

Davies, Peredur Glyn Cwyfan. "Identifying word-order convergence in the speech of Welsh-English bilinguals." Thesis, Bangor University, 2010. https://research.bangor.ac.uk/portal/en/theses/identifying-wordorder-convergence-in-the-speech-of-welshenglish-bilinguals(200be10a-4e1f-4b0f-ae56-f707bfce8556).html.

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This thesis presents a study of the speech of Welsh-English bilinguals to determine the extent and manner of the structural influence of English on Welsh, specifically the phenomenon of convergence, which is described as the increase in frequency of use of a construction (e.g. word order) in one language due to the prevalence of that construction in another language with which its speakers are in contact. I take two approaches to measure convergence, using Welsh-English conversational data which were specially collected for a 40 hour corpus. First, I adapt the Matrix Language Frame model (Myers-Scotton 2002), usable to identify the language from which clause morphosyntax is sourced, to identify convergence. I propose the concept of a dichotomous Matrix Language, which is where there is conflicting evidence for which language provides clause structure. In testing the model on speech from six speakers, I find that, with few exceptions, Welsh is the source of the structure in the majority of clauses analysed. I Interpret this to show that word-order convergence in these data is limited insofar as using the Matrix Language Frame model indicates. Second, I analyse the speech of 28 bilinguals for evidence of the deletion of the initial auxiliary verb in periphrastic constructions involving an auxiliary form of bod 'be' and a 2nd person singular pronominal subject ti. Auxiliary deletion (AD) in such clauses results in a clause-initial subject, which I compare to English SVO word-order. I find that AD in such contexts is very common in these data, and is also found in clauses with a different subject. Analysis of age variation in the data indicates that AD in Welsh has become more common in recent years. I propose that an increase to subject-initial clauses in Welsh may be a change in progress, which I interpret to be in part due to convergence to English.

Couchman, Benjamin Luke Streatfield. "On the convergence of higher-order finite element methods to weak solutions." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/115685.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 77-79).
The ability to handle discontinuities appropriately is essential when solving nonlinear hyperbolic partial differential equations (PDEs). Discrete solutions to the PDE must converge to weak solutions in order for the discontinuity propagation speed to be correct. As shown by the Lax-Wendroff theorem, one method to guarantee that convergence, if it occurs, will be to a weak solution is to use a discretely conservative scheme. However, discrete conservation is not a strict requirement for convergence to a weak solution. This suggests a hierarchy of discretizations, where discretely conservative schemes are a subset of the larger class of methods that converge to the weak solution. We show here that a range of finite element methods converge to the weak solution without using discrete conservation arguments. The effect of using quadrature rules to approximate integrals is also considered. In addition, we show that solutions using non-conservation working variables also converge to weak solutions.
by Benjamin Luke Streatfield Couchman.
S.M.

Ghadimi, Euhanna. "Accelerating Convergence of Large-scale Optimization Algorithms." Doctoral thesis, KTH, Reglerteknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-162377.

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Several recent engineering applications in multi-agent systems, communication networks, and machine learning deal with decision problems that can be formulated as optimization problems. For many of these problems, new constraints limit the usefulness of traditional optimization algorithms. In some cases, the problem size is much larger than what can be conveniently dealt with using standard solvers. In other cases, the problems have to be solved in a distributed manner by several decision-makers with limited computational and communication resources. By exploiting problem structure, however, it is possible to design computationally efficient algorithms that satisfy the implementation requirements of these emerging applications. In this thesis, we study a variety of techniques for improving the convergence times of optimization algorithms for large-scale systems. In the first part of the thesis, we focus on multi-step first-order methods. These methods add memory to the classical gradient method and account for past iterates when computing the next one. The result is a computationally lightweight acceleration technique that can yield significant improvements over gradient descent. In particular, we focus on the Heavy-ball method introduced by Polyak. Previous studies have quantified the performance improvements over the gradient through a local convergence analysis of twice continuously differentiable objective functions. However, the convergence properties of the method on more general convex cost functions has not been known. The first contribution of this thesis is a global convergence analysis of the Heavy- ball method for a variety of convex problems whose objective functions are strongly convex and have Lipschitz continuous gradient. The second contribution is to tailor the Heavy- ball method to network optimization problems. In such problems, a collection of decision- makers collaborate to find the decision vector that minimizes the total system cost. We derive the optimal step-sizes for the Heavy-ball method in this scenario, and show how the optimal convergence times depend on the individual cost functions and the structure of the underlying interaction graph. We present three engineering applications where our algorithm significantly outperform the tailor-made state-of-the-art algorithms. In the second part of the thesis, we consider the Alternating Direction Method of Multipliers (ADMM), an alternative powerful method for solving structured optimization problems. The method has recently attracted a large interest from several engineering communities. Despite its popularity, its optimal parameters have been unknown. The third contribution of this thesis is to derive optimal parameters for the ADMM algorithm when applied to quadratic programming problems. Our derivations quantify how the Hessian of the cost functions and constraint matrices affect the convergence times. By exploiting this information, we develop a preconditioning technique that allows to accelerate the performance even further. Numerical studies of model-predictive control problems illustrate significant performance benefits of a well-tuned ADMM algorithm. The fourth and final contribution of the thesis is to extend our results on optimal scaling and parameter tuning of the ADMM method to a distributed setting. We derive optimal algorithm parameters and suggest heuristic methods that can be executed by individual agents using local information. The resulting algorithm is applied to distributed averaging problem and shown to yield substantial performance improvements over the state-of-the-art algorithms.

QC 20150327

Kim, Taejong. "Mesh independent convergence of modified inexact Newton methods for second order nonlinear problems." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3870.

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In this dissertation, we consider modified inexact Newton methods applied to second order nonlinear problems. In the implementation of Newton's method applied to problems with a large number of degrees of freedom, it is often necessary to solve the linear Jacobian system iteratively. Although a general theory for the convergence of modified inexact Newton's methods has been developed, its application to nonlinear problems from nonlinear PDE's is far from complete. The case where the nonlinear operator is a zeroth order perturbation of a fixed linear operator was considered in the paper written by Brown et al.. The goal of this dissertation is to show that one can develop modified inexact Newton's methods which converge at a rate independent of the number of unknowns for problems with higher order nonlinearities. To do this, we are required to first, set up the problem on a scale of Hilbert spaces, and second, to devise a special iterative technique which converges in a higher order Sobolev norm, i.e., H1+alpha(omega) \ H1 0(omega) with 0 < alpha < 1/2. We show that the linear system solved in Newton's method can be replaced with one iterative step provided that the initial iterate is close enough. The closeness criteria can be taken independent of the mesh size. In addition, we have the same convergence rates of the method in the norm of H1 0(omega) using the discrete Sobolev inequalities.

Butch, Nicholas Patrick. "The search for quantum criticality near the convergence of hidden order and ferromagnetism." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2008. http://wwwlib.umi.com/cr/ucsd/fullcit?p3307110.

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Thesis (Ph. D.)--University of California, San Diego, 2008.
Title from first page of PDF file (viewed July 3, 2008). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 139-149).

Bürger, Steven, and Bernd Hofmann. "About a deficit in low order convergence rates on the example of autoconvolution." Universitätsbibliothek Chemnitz, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-130630.

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We revisit in L2-spaces the autoconvolution equation x ∗ x = y with solutions which are real-valued or complex-valued functions x(t) defined on a finite real interval, say t ∈ [0,1]. Such operator equations of quadratic type occur in physics of spectra, in optics and in stochastics, often as part of a more complex task. Because of their weak nonlinearity deautoconvolution problems are not seen as difficult and hence little attention is paid to them wrongly. In this paper, we will indicate on the example of autoconvolution a deficit in low order convergence rates for regularized solutions of nonlinear ill-posed operator equations F(x)=y with solutions x† in a Hilbert space setting. So for the real-valued version of the deautoconvolution problem, which is locally ill-posed everywhere, the classical convergence rate theory developed for the Tikhonov regularization of nonlinear ill-posed problems reaches its limits if standard source conditions using the range of F (x† )∗ fail. On the other hand, convergence rate results based on Hölder source conditions with small Hölder exponent and logarithmic source conditions or on the method of approximate source conditions are not applicable since qualified nonlinearity conditions are required which cannot be shown for the autoconvolution case according to current knowledge. We also discuss the complex-valued version of autoconvolution with full data on [0,2] and see that ill-posedness must be expected if unbounded amplitude functions are admissible. As a new detail, we present situations of local well-posedness if the domain of the autoconvolution operator is restricted to complex L2-functions with a fixed and uniformly bounded modulus function.

Agbebaku, Dennis Ferdinand. "Solution of conservation laws via convergence space completion." Diss., University of Pretoria, 2011. http://hdl.handle.net/2263/27791.

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It is well known that a classical solution of the initial value problem for a scalar conservation law may fail to exist on the whole domain of definition of the problem. For this reason, suitable generalized solutions of such problems, known as weak solutions, have been considered and studied extensively. However, weak solutions are not unique. In order to obtain a unique solution that is physically relevant, the vanishing viscosity method, amongst others, has been employed to single out a unique solution known as the entropy solution. In this thesis we present an alternative approach to the study of the entropy solution of conservation laws. The main novelty of our approach is that the theory of entropy solution of conservation law is presented in an operator theoretic setting. In this regard, the Order Completion Method for nonlinear PDEs, in the context of convergence vector spaces, is modified to obtain an operator equation which generalizes the initial value problem. This equation admits at most one solution, which may be represented as a Hausdorff continuous function. As a particular case, we apply our method to obtain the entropy solution of the Burger's equation. Copyright
Dissertation (MSc)--University of Pretoria, 2011.
Mathematics and Applied Mathematics
Unrestricted

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Книги з теми "Convergence order":

Lewis Research Center. Institute for Computational Mechanics in Propulsion., ed. On high-order radiation boundary conditions. [Cleveland, Ohio]: National Aeronautics and Space Administration, Institute for Computational Mechanics in Propulsion, Langley Research Center, 1995.

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Seils, Michael. Lutheran convergence?: An analysis of the Lutheran responses to the convergence document "Baptism, Eucharist and Ministry" of the World Council of Churches faith and Order Commission. Geneva: Lutheran World Federation, 1988.

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Seils, Michael. Lutheran convergence?: An analysis of the Lutheran responses to the convergence document "Baptism, Eucharist and ministry" of the World Council of Churches Faith and Order Commission. Geneva: Lutheran World Federation, 1988.

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Li, Mingzhao. Fu cou yu zhi xu: Han di guo di fang she hui yan jiu = Power convergence and social order : the study of local society of the Han empire. Xianggang: Xianggang Zhong wen da xue chu ban she, 2013.

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Sweetapple, Christopher, ed. The Queer Intersectional in Contemporary Germany. Gießen: Psychosozial-Verlag, 2018. http://dx.doi.org/10.30820/9783837974447.

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Anti-racist and queer politics have tentatively converged in the activist agendas, organizing strategies and political discourses of the radical left all over the world. Pejoratively dismissed as »identity politics«, the significance of this cross-pollination of theorizing and political solidarities has yet to be fully countenanced. Even less well understood, coalitions of anti-racist and queer activisms in western Europe have fashioned durable organizations and creative interventions to combat regnant anti-Muslim and anti-migrant racism within mainstream gay and lesbian culture and institutions, just as the latter consolidates and capitalizes on their uneven inclusions into national and international orders. The essays in this volume represent a small snapshot of writers working at this point of convergence between anti-racist and queer politics and scholarship from the context of Germany. Translated for the first time into English, these four writers and texts provide a compelling introduction to what the introductory essay calls »a Berlin chapter of the Queer Intersectional«, that is, an international justice movement conducted in the key of academic analysis and political speech which takes inspiration from and seeks to synthesize the fruitful concoction of anti-racist, queer, feminist and anti-capitalist traditions, movements and theories. With contributions by Judith Butler, Zülfukar Çetin, Sabine Hark, Daniel Hendrickson, Heinz-Jürgen-Voß, Salih Alexander Wolter and Koray Yılmaz-Günay

Beck, Amir. First-Order Methods in Optimization. Society for Industrial and Applied Mathematics, 2017.

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Wong, Y. C. Topology of Uniform Convergence on Order-Bounded Sets. Springer London, Limited, 2006.

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Fahey, Elaine. Framing Convergence with the Global Legal Order: The EU and the World. Bloomsbury Publishing Plc, 2020.

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Fahey, Elaine. Framing Convergence with the Global Legal Order: The EU and the World. Bloomsbury Publishing Plc, 2022.

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Частини книг з теми "Convergence order":

Zhang, Xin. "Competition in Convergence." In Hegemony and World Order, 195–207. Abingdon, Oxon ; New York, NY : Routledge, 2021.: Routledge, 2020. http://dx.doi.org/10.4324/9781003037231-12.

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Hairer, Ernst, and Gerhard Wanner. "One-Step Methods, Order, Convergence." In Encyclopedia of Applied and Computational Mathematics, 1089–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_130.

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Argyros, Ioannis K. "Efficient Sixth Convergence Order Method." In The Theory and Applications of Iteration Methods, 161–74. 2nd ed. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003128915-6.

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Häusler, Erich, and Harald Luschgy. "Autoregression of Order One." In Stable Convergence and Stable Limit Theorems, 159–72. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18329-9_9.

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Argyros, Ioannis K., and Á. Alberto Magrenan. "Ball Convergence for eighth order method." In Iterative Methods and Their Dynamics with Applications, 319–30. Boca Raton, FL : CRC Press, [2016] | “A science publishers book.”: CRC Press, 2017. http://dx.doi.org/10.1201/9781315153469-21.

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Argyros, Ioannis K. "Multi-Step High Convergence Order Methods." In The Theory and Applications of Iteration Methods, 313–24. 2nd ed. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003128915-16.

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Caicedo, Xavier, Eduardo Dueñez, and José Iovino. "Metastable convergence and logical compactness." In Beyond First Order Model Theory, Volume II, 3–42. Boca Raton: Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9780429263637-1.

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Sapelli, Giulio. "The Old and the New Convergence." In Global Challenges and the Emerging World Order, 37–42. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15624-8_5.

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Anastassiou, George A., and Ioannis K. Argyros. "Ball Convergence of a Sixth Order Iterative Method." In Intelligent Numerical Methods: Applications to Fractional Calculus, 297–307. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26721-0_18.

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Savaş, Ekrem. "$$(T,\varphi ,\lambda )$$ – Statistical Convergence of Order $$\beta $$." In 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019), 291–98. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39112-6_23.

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Тези доповідей конференцій з теми "Convergence order":

Karakaş, Abdulkadir, Yavuz Altın та Mikail Et. "Δpm–statistical convergence of order α". У II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981683.

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Cakalli, Huseyin, Hacer Sengul Kandemir, and Seray Karagoz. "Rho statistical convergence of order beta." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136141.

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Colak, Rifat, Mikail Et та Yavuz Altin. "λ(Δim)–statistical convergence of order α". У INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000612.

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Altin, Yavuz, Mikail Et та Hifsi Altinok. "Δpm(λ) - statistical convergence of order α". У 7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5078457.

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Aral, Nazlım Deniz, Hacer Şengül Kandemir та Mikail Et. "Δα–deferred statistical convergence of fractional order". У FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042240.

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Altınok, Hıfsı, Mikail Et та Mahmut Işık. "Δim–lacunary statistical convergence of order α". У 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020453.

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Kandemir, Hacer Şengül, Mikail Et та Hüseyin Çakallı. "(f, ρ)-statistical convergence of order α". У 10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0115374.

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Rhode, D. S., and P. V. Kokotovic. "Parameter Convergence Conditions Independent of Plant Order." In 1989 American Control Conference. IEEE, 1989. http://dx.doi.org/10.23919/acc.1989.4790333.

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LEVANT, A. "ARBITRARY-ORDER SLIDING MODES WITH FINITE TIME CONVERGENCE." In Proceedings of the 6th IEEE Mediterranean Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814447317_0058.

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Sengul, Hacer, Mahmut Isik та Mikail Et. "f–lacunary statistical convergence of order (α, β)". У INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000610.

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Звіти організацій з теми "Convergence order":

Romkes, Albert, Serge Prudhomme, and J. T. Oden. Convergence Analysis of a Discontinuous Finite Element Formulation Based on Second Order Derivatives. Fort Belvoir, VA: Defense Technical Information Center, November 2004. http://dx.doi.org/10.21236/ada439718.

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Yao, J. Can The Order of Convergence Be Higher Than the Number of Function Values Used? Part (1). Office of Scientific and Technical Information (OSTI), May 2013. http://dx.doi.org/10.2172/1080400.

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Manzini, Gianmarco, Hashem Mohamed Mourad, Paola Francesca Antonietti, Italo Mazzieri, and Marco Verani. The arbitrary-order virtual element method for linear elastodynamics models. Convergence, stability and dispersion-dissipation analysis. Office of Scientific and Technical Information (OSTI), May 2020. http://dx.doi.org/10.2172/1630838.

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Qiu, Jing-Mei, and Chi-Wang Shu. Convergence of High Order Finite Volume Weighted Essentially Non-Oscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. Fort Belvoir, VA: Defense Technical Information Center, January 2007. http://dx.doi.org/10.21236/ada468107.

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Chen, X. R., and L. C. Zhoa. Necessary and Sufficient Conditions for the Convergence of Integrated and Mean-Integrated r-th Order Error of Histogram Density Estimates. Fort Belvoir, VA: Defense Technical Information Center, April 1987. http://dx.doi.org/10.21236/ada186037.

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Tosi, R., R. Codina, J. Principe, R. Rossi, and C. Soriano. D3.3 Report of ensemble based parallelism for turbulent flows and release of solvers. Scipedia, 2022. http://dx.doi.org/10.23967/exaqute.2022.3.06.

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In this work we focus on reducing the wall clock time required to compute statistical estimators of highly chaotic incompressible flows on high performance computing systems. Our approach consists of replacing a single long-term simulation by an ensemble of multiple independent realizations, which are run in parallel with different initial conditions. A failure probability convergence criteria must be satisfied by the statistical estimator of interest to assess convergence. Its error analysis leads to the identification of two error contributions: the initialization bias and the statistical error. We propose an approach to systematically detect the burn-in time in order to minimize the initialization bias, accompanied by strategies to reduce simulation cost. The framework is validated on two very high Reynolds number obstacle problems of wind engineering interest in a high performance computing environment.

Ronneberger, Kerstin, Maria Berrittella, Francesco Bosello, and Richard Tol. KLUM@GTAP: Spatially-Explicit, Biophysical Land Use in a Computable General Equilibrium Model. GTAP Working Paper, April 2008. http://dx.doi.org/10.21642/gtap.wp50.

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*Chapter 12 of the forthcoming book "Economic Analysis of Land Use in Global Climate Change Policy," edited by Thomas W. Hertel, Steven Rose, and Richard S.J. Tol In this paper the global agricultural land use model KLUM is coupled to an extended version of the computable general equilibrium model (CGE) GTAP in order to consistently assess the integrated impacts of climate change on global cropland allocation and its implications for economic development. The methodology is innovative as it introduces dynamic economic land-use decisions based also on the biophysical aspects of land into a state-of the-art CGE; it further allows the projection of resulting changes in cropland patterns at a spatially explicit level. A convergence test and illustrative future simulations underpin the robustness analysis and serve to highlight the potential of the coupled system. Reference simulations with the uncoupled models emphasize the impact and relevance of the coupling; the results of coupled and uncoupled simulations can differ by several hundred percent.

Tamburini, Andrea, Arkadiusz Wiśniowski, and Dilek Yildiz. BAYESIAN MULTI-DIMENSIONAL MORTALITY RECONSTRUCTION. Verlag der Österreichischen Akademie der Wissenschaften, January 2024. http://dx.doi.org/10.1553/0x003eb05e.

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Even though mortality differentials by socio-economic status and educational attainment level have been widely examined, this research is often limited to developed countries and recent years. This is primarily due to the absence of consistently good-quality inherent data. Systematic studies with a broad geographical and temporal spectrum that engage with the link between educational attainment and mortality are lacking. In this paper, we propose a mortality rates reconstruction model based on multiple patchy data sources, and provide mortality rates by level of education. The proposed model is a hierarchical Bayesian model that combines the strengths of multiple sources in order to disaggregate mortality rates by time periods, age groups, sex and educational attainment. We apply the model in a case study that includes 13 countries across South-East Europe, Western Asia and North Africa, and calculate education-specific mortality rates for five-year age groups starting at age 15 for the 1980-2015 time period. Furthermore, we evaluate the model’s performance relying on standard convergence indicators and trace plots, and validate our estimates via posterior predictive checks. This study contributes to the literature by proposing a novel methodology to enhance the research on the relationship between education and adult mortality. It addresses the lack of educationspecific mortality differentials by providing a flexible method for their estimation.

Lewis, Dustin. Three Pathways to Secure Greater Respect for International Law concerning War Algorithms. Harvard Law School Program on International Law and Armed Conflict, 2020. http://dx.doi.org/10.54813/wwxn5790.

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Existing and emerging applications of artificial intelligence in armed conflicts and other systems reliant upon war algorithms and data span diverse areas. Natural persons may increasingly depend upon these technologies in decisions and activities related to killing combatants, destroying enemy installations, detaining adversaries, protecting civilians, undertaking missions at sea, conferring legal advice, and configuring logistics. In intergovernmental debates on autonomous weapons, a normative impasse appears to have emerged. Some countries assert that existing law suffices, while several others call for new rules. Meanwhile, the vast majority of efforts by States to address relevant systems focus by and large on weapons, means, and methods of warfare. Partly as a result, the broad spectrum of other far-reaching applications is rarely brought into view. One normatively grounded way to help identify and address relevant issues is to elaborate pathways that States, international organizations, non-state parties to armed conflict, and others may pursue to help secure greater respect for international law. In this commentary, I elaborate on three such pathways: forming and publicly expressing positions on key legal issues, taking measures relative to their own conduct, and taking steps relative to the behavior of others. None of these pathways is sufficient in itself, and there are no doubt many others that ought to be pursued. But each of the identified tracks is arguably necessary to ensure that international law is — or becomes — fit for purpose. By forming and publicly expressing positions on relevant legal issues, international actors may help clarify existing legal parameters, pinpoint salient enduring and emerging issues, and detect areas of convergence and divergence. Elaborating legal views may also help foster greater trust among current and potential adversaries. To be sure, in recent years, States have already fashioned hundreds of statements on autonomous weapons. Yet positions on other application areas are much more difficult to find. Further, forming and publicly expressing views on legal issues that span thematic and functional areas arguably may help States and others overcome the current normative stalemate on autonomous weapons. Doing so may also help identify — and allocate due attention and resources to — additional salient thematic and functional areas. Therefore, I raise a handful of cross-domain issues for consideration. These issues touch on things like exercising human agency, reposing legally mandated evaluative decisions in natural persons, and committing to engage only in scrutable conduct. International actors may also take measures relative to their own conduct. To help illustrate this pathway, I outline several such existing measures. In doing so, I invite readers to inventory and peruse these types of steps in order to assess whether the nature or character of increasingly complex socio-technical systems reliant upon war algorithms and data may warrant revitalized commitments or adjustments to existing measures — or, perhaps, development of new ones. I outline things like enacting legislation necessary to prosecute alleged perpetrators of grave breaches, making legal advisers available to the armed forces, and taking steps to prevent abuses of the emblem. Finally, international actors may take measures relative to the conduct of others. To help illustrate this pathway, I outline some of the existing steps that other States, international organizations, and non-state parties may take to help secure respect for the law by those undertaking the conduct. These measures may include things like addressing matters of legal compliance by exerting diplomatic pressure, resorting to penal sanctions to repress violations, conditioning or refusing arms transfers, and monitoring the fate of transferred detainees. Concerning military partnerships in particular, I highlight steps such as conditioning joint operations on a partner’s compliance with the law, planning operations jointly in order to prevent violations, and opting out of specific operations if there is an expectation that the operations would violate applicable law. Some themes and commitments cut across these three pathways. Arguably, respect for the law turns in no small part on whether natural persons can and will foresee, understand, administer, and trace the components, behaviors, and effects of relevant systems. It may be advisable, moreover, to institute ongoing cross-disciplinary education and training as well as the provision of sufficient technical facilities for all relevant actors, from commanders to legal advisers to prosecutors to judges. Further, it may be prudent to establish ongoing monitoring of others’ technical capabilities. Finally, it may be warranted for relevant international actors to pledge to engage, and to call upon others to engage, only in armed-conflict-related conduct that is sufficiently attributable, discernable, and scrutable.

Abdullah, Hannah, Karim Elgendy, and Hanne Knaepen. Climate Resilience in Cities of the EU’s Southern Neighbourhood: Opportunities for the EU Green Deal. The Royal Institute of International Affairs, November 2021. http://dx.doi.org/10.55317/casc016.

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Cities in the Middle East and North Africa are already suffering the effects of climate change. Weak urban regulation, ineffective climate policies, limited decentralization and insufficient empowerment of local authorities and civil society further decrease urban resilience. Future climate scenarios and projected urban growth threaten the stability of the region; with potential negative knock-on effects on Europe. This CASCADES Spotlight Study examines climate vulnerabilities in urban areas in countries to the south of the EU and the wider Middle East and North Africa region and advocates for systemic approaches to addressing urban climate resilience by strengthening the water-energy-food nexus, as well as other enabling factors such as decentralization. It concludes with recommendations on how the European Green Deal can help cities in the region adapt to climate impacts, based on a water-energy-food nexus approach. Over the past two decades, the European Commission has stepped up its support for urban climate action and resilience. An increasing number of programmes financed under the European Neighbourhood Policy (ENP) South have addressed urban climate resilience in response to the region’s rapid urbanization and the high climate vulnerability of cities. The number of urban dwellers in the wider Middle East and North Africa region is estimated to reach 527 million in 2050, an increase of 72% compared to 2020. At the same time, climate impacts – including both slow onset changes and sudden disasters – are putting additional stress on urban infrastructure. This stress is aggravated by weak urban regulations that have created unsustainable development trends which undermine the potential benefits of urbanization and adversely affect urban climate resilience. The prevalence of highly centralized administrative systems and incomplete decentralization reforms hamper local capacity building and decision-making, which are prerequisites for effective adaptation and resilience. At the same time, climate impacts – including both slow onset changes and sudden disasters – are putting additional stress on urban infrastructure. This stress is aggravated by weak urban regulations that have created unsustainable development trends which undermine the potential benefits of urbanization and adversely affect urban climate resilience. The prevalence of highly centralized administrative systems and incomplete decentralization reforms hamper local capacity building and decision-making, which are prerequisites for effective adaptation and resilience. The convergence of the region’s harsh climatic conditions with rapid, unsustainable urbanization and the associated socio-economic burdens can exacerbate existing political instability, conflict-induced migration and poverty. These developments could cascade into the EU, altering security, trade and diplomatic relations with the Southern Neighbourhood. The EU’s evolving approach to working with local authorities on urban infrastructure and climate governance is a first step towards addressing the region’s intertwined urban and climate crises. However, this approach is still in the early stages and there is a need to reflect on lessons learned and how urban spaces, climates and governance are evolving in the region. This study suggests that the EU’s overwhelming focus on supporting cities in the region with energy efficiency and the transition to sustainable energy systems is not enough to strengthen urban climate resilience. In cities of the Southern Neighbourhood, which typically struggle with resource management and scarcity, climate resilience will increasingly depend on local capacities to formulate and implement nexus approaches, especially in the water, energy and food sectors. Based on case studies of three small and intermediary urban areas, the study advocates for a systemic approach to addressing urban climate resilience in Southern Neighbourhood cities. Considering the established effectiveness of applying a water-energy-food nexus approach to improving climate resilience, the paper stresses the need for local governments to explore nexus opportunities between the water, energy and food sectors in order to achieve resilient and sustainable urbanism, while also highlighting other enabling factors such as decentralization. It concludes by exploring how future external action around the European Green Deal and its ambitions for systemic transformation could benefit from stepping up cooperation with cities in the Southern Neighbourhood around the water-energy-food nexus.