Relevant bibliographies by topics / Spectral convergence

Academic literature on the topic 'Spectral convergence'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Spectral convergence"

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Deitmar, Anton. "Benjamini–Schramm and spectral convergence." L’Enseignement Mathématique 64, no. 3 (July 23, 2019): 371–94. http://dx.doi.org/10.4171/lem/64-3/4-8.

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Kasue, Atsushi, and Hironori Kumura. "Spectral convergence of Riemannian manifolds." Tohoku Mathematical Journal 46, no. 2 (1994): 147–79. http://dx.doi.org/10.2748/tmj/1178225756.

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Buhmann, Martin, and Nira Dyn. "Spectral convergence of multiquadric interpolation." Proceedings of the Edinburgh Mathematical Society 36, no. 2 (June 1993): 319–33. http://dx.doi.org/10.1017/s0013091500018411.

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In this paper, we consider interpolants on h·ℤn from the closure of the space spanned by translates of the function (‖·‖2 + 1)β/2 (β>−n and not an even nonnegative integer) along h·ℤn. We show that these interpolants approximate a function, whose Fourier transform satisfies certain asymptotic conditions, up to an error of order hp, on any compact domain in ℝn, where p is only restricted by the smoothness of the function.
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Ji, Lizhen, and Richard Wentworth. "Spectral convergence on degenerating surfaces." Duke Mathematical Journal 66, no. 3 (June 1992): 469–501. http://dx.doi.org/10.1215/s0012-7094-92-06615-4.

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Sánchez-Perales, Salvador, and Slaviša V. Djordjević. "Spectral continuity using ν-convergence." Journal of Mathematical Analysis and Applications 433, no. 1 (January 2016): 405–15. http://dx.doi.org/10.1016/j.jmaa.2015.07.069.

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Kasue, Atsushi, and Hironori Kumura. "Spectral convergence of Riemannian manifolds, II." Tohoku Mathematical Journal 48, no. 1 (1996): 71–120. http://dx.doi.org/10.2748/tmj/1178225413.

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BECKUS, SIEGFRIED, and FELIX POGORZELSKI. "Delone dynamical systems and spectral convergence." Ergodic Theory and Dynamical Systems 40, no. 6 (October 22, 2018): 1510–44. http://dx.doi.org/10.1017/etds.2018.116.

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In the realm of Delone sets in locally compact, second countable Hausdorff groups, we develop a dynamical systems approach in order to study the continuity behavior of measured quantities arising from point sets. A special focus is both on the autocorrelation, as well as on the density of states for random bounded operators. It is shown that for uniquely ergodic limit systems, the latter measures behave continuously with respect to the Chabauty–Fell convergence of hulls. In the special situation of Euclidean spaces, our results complement recent developments in describing spectra as topological limits: we show that the measured quantities under consideration can be approximated via periodic analogs.
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Rowlett, Julie. "Spectral geometry and asymptotically conic convergence." Communications in Analysis and Geometry 16, no. 4 (2008): 735–98. http://dx.doi.org/10.4310/cag.2008.v16.n4.a2.

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Mohammadi, M., and R. Schaback. "Convergence analysis of general spectral methods." Journal of Computational and Applied Mathematics 313 (March 2017): 284–93. http://dx.doi.org/10.1016/j.cam.2016.09.031.

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Honda, Shouhei. "Spectral convergence under bounded Ricci curvature." Journal of Functional Analysis 273, no. 5 (September 2017): 1577–662. http://dx.doi.org/10.1016/j.jfa.2017.05.009.

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Dissertations / Theses on the topic "Spectral convergence"

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Goncalves-Ferreira, Rita Alexandria. "Spectral and Homogenization Problems." Research Showcase @ CMU, 2011. http://repository.cmu.edu/dissertations/83.

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In this dissertation we will address two types of homogenization problems. The first one is a spectral problem in the realm of lower dimensional theories, whose physical motivation is the study of waves propagation in a domain of very small thickness and where it is introduced a very thin net of heterogeneities. Precisely, we consider an elliptic operator with "ε-periodic coefficients and the corresponding Dirichlet spectral problem in a three-dimensional bounded domain of small thickness δ. We study the asymptotic behavior of the spectrum as ε and δ tend to zero. This asymptotic behavior depends crucially on whether ε and δ are of the same order (δ ≈ ε), or ε is of order smaller than that of δ (δ = ετ , τ < 1), or ε is of order greater than that of δ (δ = ετ , τ > 1). We consider all three cases. The second problem concerns the study of multiscale homogenization problems with linear growth, aimed at the identification of effective energies for composite materials in the presence of fracture or cracks. Precisely, we characterize (n+1)-scale limit pairs (u,U) of sequences {(uεLN⌊Ω,Duε⌊Ω)}ε>0 ⊂ M(Ω;ℝd) × M(Ω;ℝd×N) whenever {uε}ε>0 is a bounded sequence in BV (Ω;ℝd). Using this characterization, we study the asymptotic behavior of periodically oscillating functionals with linear growth, defined in the space BV of functions of bounded variation and described by n ∈ ℕ microscales
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Shipley, Brooke E. (Brooke Elizabeth). "Convergence of the homology spectral sequence of a cosimplical space." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/36626.

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Carter, John. "Convergence of the Eilenberg-Moore spectral sequence for Morava K-theory /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1251841781&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 47-49). Also available for download via the World Wide Web; free to University of Oregon users.
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Kong, Nayeong. "Convergence Rates of Spectral Distribution of Random Inner Product Kernel Matrices." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/498132.

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Mathematics
Ph.D.
This dissertation has two parts. In the first part, we focus on random inner product kernel matrices. Under various assumptions, many authors have proved that the limiting empirical spectral distribution (ESD) of such matrices A converges to the Marchenko- Pastur distribution. Here, we establish the corresponding rate of convergence. The strategy is as follows. First, we show that for z = u + iv ∈ C, v > 0, the distance between the Stieltjes transform m_A (z) of ESD of matrix A and Machenko-Pastur distribution m(z) is of order O (log n \ nv). Next, we prove the Kolmogorov distance between ESD of matrix A and Marchenko-Pastur distribution is of order O(3\log n\n). It is the less sharp rate for much more general class of matrices. This uses a Berry-Esseen type bound that has been employed for similar purposes for other families of random matrices. In the second part, random geometric graphs on the unit sphere are considered. Observing that adjacency matrices of these graphs can be thought of as random inner product matrices, we are able to use an idea of Cheng-Singer to establish the limiting for the ESD of these adjacency matrices.
Temple University--Theses
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Hocine, Farida. "Approximation spectrale d'opérateurs." Saint-Etienne, 1993. http://www.theses.fr/1993STET4007.

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Il est bien connu que la convergence fortement stable est une condition suffisante de convergence des éléments spectraux approchées, i. E. Les valeurs propres non nulles, isolées et de multiplicité algébrique finie et les sous-espaces invariants maximaux qui leur sont associés, d'opérateurs linéaires bornés définis sur des espaces de Banach complexes. Dans ce travail, nous commençons par proposer une nouvelle notion de convergence : la convergence spectrale, que l'on montre être une condition nécessaire de convergence fortement stable et suffisante de convergence des éléments spectraux approchés. Nous donnons ensuite des conditions suffisantes de convergence spectrale moins restrictives que celles habituellement utilisées. Nous montrons également la convergence de quelques schémas de raffinement itératif pour l'approximation des bases de sous-espaces invariants maximaux, dans le cadre des méthodes de Newton inexactes et des séries de Rayleigh-Schrodinger, sous certaines des conditions suffisantes de convergence spectrale proposées. Nous donnons ensuite les résultats de quelques essais numériques
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Wei, Wang. "Analysis on GMRES convergence and some results on spectral properties of preconditioned matrices." Thesis, University of Macau, 2006. http://umaclib3.umac.mo/record=b1636825.

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Green, John James. "Uniform convergence to the spectral radius and some related properties in Banach algebras." Thesis, University of Sheffield, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242293.

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Ferreira, Rita Alexandra Gonçalves. "Spectral and homogenization problems." Doctoral thesis, Faculdade de Ciências e Tecnologia, 2011. http://hdl.handle.net/10362/7856.

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Dissertation for the Degree of Doctor of Philosophy in Mathematics
Fundação para a Ciência e a Tecnologia through the Carnegie Mellon | Portugal Program under Grant SFRH/BD/35695/2007, the Financiamento Base 20010 ISFL–1–297, PTDC/MAT/109973/2009 and UTA
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Buyer, Paul de. "Vitesse de convergence vers l'équilibre de systèmes de particules en intéraction." Thesis, Paris 10, 2017. http://www.theses.fr/2017PA100080/document.

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Dans cette thèse nous nous intéressons principalement aux comportements diffusifs et à la vitesse de convergence vers l'équilibre au sens de la variance de différents modèles de systèmes de particules interagissantes ainsi qu'à un problème de percolation. Nous commençons par introduire informellement le premier sujet. Dans l'étude des systèmes dynamiques, un processus de Markov apériodique et irréductible admettant une mesure invariante converge vers celle-ci en temps long. Dans ce travail, nous nous intéressons ici à la quantification de la vitesse de cette convergence en étudiant la variance du semigroupe associé à la dynamique appliqué à certains ensembles de fonctions. Deux vitesses de convergence sont envisagées ici : la vitesse de de convergence exponentielle impliquée par un trou spectral dans le générateur du processus; une vitesse de convergence polynomiale dite diffusive lorsque le trou spectral est nul.Dans le deuxième chapitre, nous nous étudions le modèle de marche aléatoire en milieu aléatoire et nous prouvons dans ce cadre une vitesse de décroissance de type diffusive.Dans le troisième chapitre, nous étudions le modèle d'exclusion simple à taux dégénérés en dimension 1 appelé ka1f. Nous prouvons des bornes sur le trou spectral en volume fini et une vitesse de décroissance sous-diffusive en volume infini.Dans le quatrième chapitre, nous étudions un modèle à spins non bornés. Nous prouvons une correspondance entre la covariance de l'évolution de deux masses et une marche aléatoire en milieu aléatoire dynamique. Dans le dernier chapitre, nous nous intéressons à un modèle de percolation et à l'étude d'une conjecture étudiant la distance de graphe au sens de la percolation
In this thesis, we are interested mainly by the diffusive behaviours and the speed of convergence towards equilibrium in the sense of the variance of different models of interacting particles systems and a problem of percolation.We start by introducing unformally the first subject of interest. In the study of dynamic systems, a markov process aperiodic and irreducible having an invariant measure converges towards it in a long time. In this work, we are interested to quantify the speed of this convergence by studying the variance of the semigroup associated to the dynamic applied to some set of functions. Two speeds of convergence are considered: the exponential speed of convergence implied by a spectral gap in the generator of the process; a polynomial tome of convergence called diffusive when the spectral gap is null.In the second chapter, we study the model of random walk in random environment and we prove in this context a diffusive behavior of the speed of convergence.in the third chapter, we study the simple exclusion process with degenerate rates in dimension 1 called ka1F. We prove bounds on the spectral gap in finite volume and a sub-diffusive behavior in infinite volume. In the fourth chapter, we study an unbounded spin model. We prove a relation betweden the covariance of the evolution of two masses and a random walk in a dynamic random environment.In the last chapter, we are interested in the model of percolation and the study of a conjecture studying the distance of graph in the sense of the percolation
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Messaci, Fatiha. "Estimation de la densité spectrale d'un processus en temps continu par échantillonage poissonnien." Rouen, 1986. http://www.theses.fr/1986ROUES036.

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Ce travail est consacré à l'estimation de la densité spectrale d'un processus réel, par échantillonnage poissonnien. Après l'étude théorique, le calcul des estimateurs a été effectué sur des données simulées d'un processus de Gauss Markov, puis d'un processus gaussien non markovien
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Books on the topic "Spectral convergence"

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Gottlieb, David. Convergence of spectral methods for hyperbolic initial-boundary value systems. Hampton, Va: Langley Research Center, 1986.

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Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton,Va: ICASE, 1989.

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Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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Weber, Michel. Dynamical systems and processes. Zürich: European Mathematical Society, 2009.

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Society, European Mathematical, ed. Dynamical systems and processes. Zürich: European Mathematical Society, 2009.

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Heathman, A. C. Convergence problems in the prediction of intermodulation spectra-their origins and mitigation. Bradford: University of Bradford. Postgraduate Schools of Electrical and Electronic Engineering and Information Systems Engineering, 1989.

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United States. National Aeronautics and Space Administration., ed. The convergence of spectral methods for nonlinear conservation laws. [Washington, D.C.]: National Aeronautics and Space Administration, 1987.

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Blind Image Deconvolution: Methods and Convergence. Springer, 2014.

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Romanczyk, Raymond G., and John McEachin. Comprehensive Models of Autism Spectrum Disorder Treatment: Points of Divergence and Convergence. Springer, 2017.

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Book chapters on the topic "Spectral convergence"

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Rawitscher, George, Victo dos Santos Filho, and Thiago Carvalho Peixoto. "Convergence of Spectral." In An Introductory Guide to Computational Methods for the Solution of Physics Problems, 33–41. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-42703-4_4.

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Demuth, Michael, and Jan A. van Casteren. "Convergence of Resolvent Differences." In Stochastic Spectral Theory for Selfadjoint Feller Operators, 233–56. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8460-0_7.

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Canuto, Claudio, M. Yousuff Hussaini, Alfio Quarteroni, and Thomas A. Zang. "Theory of Stability and Convergence for Spectral Methods." In Spectral Methods in Fluid Dynamics, 315–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-84108-8_10.

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BelHadjAli, Hichem, Ali Ben Amor, and Johannes F. Brasche. "Large Coupling Convergence: Overview and New Results." In Partial Differential Equations and Spectral Theory, 73–117. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0024-2_2.

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Winkler, Gerhard. "The Spectral Gap and Convergence of Markov Chains." In Image Analysis, Random Fields and Markov Chain Monte Carlo Methods, 197–202. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55760-6_12.

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Honda, Shouhei. "L p -Spectral Gap and Gromov-Hausdorff Convergence." In Springer Proceedings in Mathematics & Statistics, 371–78. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55215-4_33.

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Challa, Aditya, Sravan Danda, B. S. Daya Sagar, and Laurent Najman. "An Introduction to Gamma-Convergence for Spectral Clustering." In Discrete Geometry for Computer Imagery, 185–96. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66272-5_16.

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Götze, Friedrich, and Holger Kösters. "Convergence and asymptotic approximations to universal distributions in probability." In Spectral Structures and Topological Methods in Mathematics, 1–28. Zuerich, Switzerland: European Mathematical Society Publishing House, 2019. http://dx.doi.org/10.4171/197-1/1.

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Loubaton, Philippe, and Xavier Mestre. "Spectral Convergence of Large Block-Hankel Gaussian Random Matrices." In Trends in Mathematics, 247–80. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62362-7_10.

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Chum, Pharino, Seung-Min Park, Kwang-Eun Ko, and Kwee-Bo Sim. "Particle Swarm Optimization Based Optimal Spatial-Spectral-Temporal Component Search in Motor Imagery Brain-Computer Interface." In Convergence and Hybrid Information Technology, 469–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32645-5_59.

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Conference papers on the topic "Spectral convergence"

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Aiello, M., F. Andreozzi, E. Catanzariti, F. Isgro, and M. Santoro. "Fast convergence for spectral clustering." In 14th International Conference on Image Analysis and Processing (ICIAP 2007). IEEE, 2007. http://dx.doi.org/10.1109/iciap.2007.4362849.

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Chiriyath, Alex R., Andrew Herschfelt, Sharanya Srinivas, and Daniel W. Bliss. "Technological Advances to Facilitate Spectral Convergence." In 2021 55th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2021. http://dx.doi.org/10.1109/ieeeconf53345.2021.9723312.

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Kim, Kwang-Yul, Seung-Woo Lee, and Yoan Shin. "Spectral Efficiency Improvement of Chirp Spread Spectrum Systems." In 2019 International Conference on Information and Communication Technology Convergence (ICTC). IEEE, 2019. http://dx.doi.org/10.1109/ictc46691.2019.8939967.

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Boche, Holger, and Volker Pohl. "Approximation and Convergence Behavior of Spectral Factorization Methods." In 2007 IEEE International Symposium on Information Theory. IEEE, 2007. http://dx.doi.org/10.1109/isit.2007.4557375.

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Jensing, E. D., Yuen-Pin Yeap, and Aly A. Farag. "Convergence properties of iterative maximum-entropy spectral estimation." In Applications in Optical Science and Engineering, edited by James M. Connelly and Shiu M. Cheung. SPIE, 1993. http://dx.doi.org/10.1117/12.143237.

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Christiansen, Torben B., Harry B. Bingham, Allan P. Engsig-Karup, Guillaume Ducrozet, and Pierre Ferrant. "Efficient Hybrid-Spectral Model for Fully Nonlinear Numerical Wave Tank." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10861.

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A new hybrid-spectral solution strategy is proposed for the simulation of the fully nonlinear free surface equations based on potential flow theory. A Fourier collocation method is adopted horisontally for the discretization of the free surface equations. This is combined with a modal Chebyshev Tau method in the vertical for the discretization of the Laplace equation in the fluid domain, which yields a sparse and spectrally accurate Dirichlet-to-Neumann operator. The Laplace problem is solved with an efficient Defect Correction method preconditioned with a spectral discretization of the linearised wave problem, ensuring fast convergence and optimal scaling with the problem size. Preliminary results for very nonlinear waves show expected convergence rates and a clear advantage of using spectral schemes.
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Srinivasan, Gokul, and P. K. Ajmera. "Sitar Synthesis Using Spectral Modelling Techniques." In 2019 IEEE 5th International Conference for Convergence in Technology (I2CT). IEEE, 2019. http://dx.doi.org/10.1109/i2ct45611.2019.9033925.

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Dong Kyoo Kim and Dong Yong Kwak. "Combining power- and spectral-efficient modulations." In 2010 International Conference on Information and Communication Technology Convergence (ICTC). IEEE, 2010. http://dx.doi.org/10.1109/ictc.2010.5674265.

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Hamel, Lutz, Neha Nahar, Maria S. Poptsova, Olga Zhaxybayeva, and J. Peter Gogarten. "Unsupervised Learning in Spectral Genome Analysis." In 2007 Frontiers in the Convergence of Bioscience and Information Technologies. IEEE, 2007. http://dx.doi.org/10.1109/fbit.2007.81.

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Zeng, W. Q., and H. L. Liu. "The Global Convergence of a New Spectral Conjugate Gradient Method." In 2015 International Conference on Artificial Intelligence and Industrial Engineering. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/aiie-15.2015.131.

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Reports on the topic "Spectral convergence"

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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.
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