Academic literature on the topic 'Singularities analysis'

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Journal articles on the topic "Singularities analysis"

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Szpirglas, A. "Boundary singularities and symmetric boundary singularities." Functional Analysis and Its Applications 28, no. 2 (1994): 137–39. http://dx.doi.org/10.1007/bf01076509.

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Sinclair, GB. "Stress singularities in classical elasticity–I: Removal, interpretation, and analysis." Applied Mechanics Reviews 57, no. 4 (2004): 251–98. http://dx.doi.org/10.1115/1.1762503.

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This review article has two parts, published in separate issues of this journal, which consider the stress singularities that occur in linear elastostatics. In the present Part I, after a brief review of the singularities that attend concentrated loads, attention is focused on the singularities that occur away from such loading, and primarily on 2D configurations. A number of examples of these singularities are given in the Introduction. For all of these examples, it is absolutely essential that the presence of singularities at least be recognized if the stress fields are to be used in attempt
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Kan, Toru, and Jin Takahashi. "Time-dependent singularities in semilinear parabolic equations: Behavior at the singularities." Journal of Differential Equations 260, no. 10 (2016): 7278–319. http://dx.doi.org/10.1016/j.jde.2016.01.026.

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Gofen, Alexander. "Unremovable ‘removable’ singularities†." Complex Variables and Elliptic Equations 53, no. 7 (2008): 633–42. http://dx.doi.org/10.1080/17476930801950202.

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Brüning, Jochen, Rafe Mazzeo, and Paolo Piazza. "Analysis and Geometric Singularities." Oberwolfach Reports 9, no. 2 (2012): 1487–562. http://dx.doi.org/10.4171/owr/2012/25.

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McCoy, Peter A. "Electromagnetic field singularities." Journal of Mathematical Analysis and Applications 275, no. 2 (2002): 761–70. http://dx.doi.org/10.1016/s0022-247x(02)00420-1.

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Park, F. C., and J. W. Kim. "Singularity Analysis of Closed Kinematic Chains." Journal of Mechanical Design 121, no. 1 (1999): 32–38. http://dx.doi.org/10.1115/1.2829426.

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This paper presents a coordinate-invariant differential geometric analysis of kinematic singularities for closed kinematic chains containing both active and passive joints. Using the geometric framework developed in Park and Kim (1996) for closed chain manipulability analysis, we classify closed chain singularities into three basic types: (i) those corresponding to singular points of the joint configuration space (configuration space singularities), (ii) those induced by the choice of actuated joints (actuator singularities), and (iii) those configurations in which the end-effector loses one o
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Flandoli, Franco, and Marco Romito. "Probabilistic analysis of singularities for the 3D Navier-Stokes equations." Mathematica Bohemica 127, no. 2 (2002): 211–18. http://dx.doi.org/10.21136/mb.2002.134166.

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Cui, Xiupeng, and Donghe Pei. "Singularities of Null Hypersurfaces of Pseudonull Curves." Journal of Function Spaces 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/502789.

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The main goal of this paper is to study the singularities of null hypersurfaces of pseudonull curves. To do this we construct a null frame and a Lorentz distance-squared function of the pseudonull curve. The relations are shown between singularities of the null hypersurfaces and those, of the Lorentz distance-squared function. And we reveal the geometric meanings of the singularities of such hypersurfaces. In addition, we also introduce some properties of the nullcone Gaussian surface of the pseudonull curve.
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Mailybaev, Alexei A., and Dan Marchesin. "Hyperbolicity singularities in Rarefaction Waves." Journal of Dynamics and Differential Equations 20, no. 1 (2007): 1–29. http://dx.doi.org/10.1007/s10884-007-9070-5.

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Dissertations / Theses on the topic "Singularities analysis"

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Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 5: Manifolds with isolated singularities." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2665/.

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Contents: Chapter 5: Manifolds with Isolated Singularities 5.1. Differential Operators and the Geometry of Singularities 5.1.1. How do isolated singularities arise? Examples 5.1.2. Definition and methods for the description of manifolds with isolated singularities 5.1.3. Bundles. The cotangent bundle 5.2. Asymptotics of Solutions, Function Spaces,Conormal Symbols 5.2.1. Conical singularities 5.2.2. Cuspidal singularities 5.3. A Universal Representation of Degenerate Operators and the Finiteness Theorem 5.3.1. The cylindrical representation 5.3.2. Continuity and compactness 5.3.3. Elliptic
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Thomas, Sophy Margaret. "Numerical analysis of some integral equations with singularities." Thesis, University of Chester, 2006. http://hdl.handle.net/10034/70394.

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In this thesis we consider new approaches to the numerical solution of a class of Volterra integral equations, which contain a kernel with singularity of non-standard type. The kernel is singular in both arguments at the origin, resulting in multiple solutions, one of which is differentiable at the origin. We consider numerical methods to approximate any of the (infinitely many) solutions of the equation. We go on to show that the use of product integration over a short primary interval, combined with the careful use of extrapolation to improve the order, may be linked to any suitable standard
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Dziubinschi, Alexandru. "Analysis of finite span wings based on velocity singularities." Thesis, McGill University, 1999. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=30242.

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The thesis presents the analysis, based on velocity singularities, of the upswept finite span wings of various planforms and distributions of incidence.<br>The method of velocity singularities has been first introduced by Mateescu for the analysis of the flow past airfoils, based on the singular behaviour of the fluid velocity near the leading edge and ridges.<br>In this work, the method of velocity singularities is extended to determine the solution of the flow in the Trefftz plane normal to the uniform stream.<br>Velocity singularities are used to obtain directly the complex expression of th
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Dziubinschi, Alexandru. "Analysis of finite-span wings based on velocity singularities." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0030/MQ64218.pdf.

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Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 7: The index problem on manifolds with singularities." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2670/.

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Contents: Chapter 7: The Index Problemon Manifolds with Singularities Preface 7.1. The Simplest Index Formulas 7.1.1. General properties of the index 7.1.2. The index of invariant operators on the cylinder 7.1.3. Relative index formulas 7.1.4. The index of general operators on the cylinder 7.1.5. The index of operators of the form 1 + G with a Green operator G 7.1.6. The index of operators of the form 1 + G on manifolds with edges 7.1.7. The index on bundles with smooth base and fiber having conical points 7.2. The Index Problem for Manifolds with Isolated Singularities 7.2.1. Statement of
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Hijazi, Anas. "Contribution à l'analyse et à l'exploitation des singularités dans le cadre de l'amélioration en terme de précision des systèmes mécatroniques." Thesis, Normandie, 2017. http://www.theses.fr/2017NORMLH33/document.

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Cette thèse porte sur l'analyse de la singularité d'un manipulateur plan pour l'application d'une XY-Théta plate-forme. Cette plate-forme possède une cinématique brevetée, conçue pour garder l’erreur finale de position en dessous de 2mμ dans son espace de travail de dimensions 300 mm × 300 mm. Ces performances de haute précision s'expliquent par la proximité des singularités. Certains inconvénients peuvent survenir lorsque la trajectoire se rapproche des singularités, notamment si une vitesse articulaire élevée est atteinte. Par conséquent, l'objectif principal de cette thèse est d'identifier
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Benoit, Romain. "Analyse qualitative de robots." Thesis, Angers, 2017. http://www.theses.fr/2017ANGE0034/document.

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Cette thèse s’inscrit dans la problématique générale de la caractérisation et de la classification des systèmes. Plus précisément, nos contributions s’orientent vers les applications robotiques et, plus particulièrement, vers la classification de manipulateurs. Les algorithmes et méthodologies proposés dans ce document s’appuient sur plusieurs théories mathématiques dont la théorie des singularités et l’Analyse par Intervalles, qui sont formalisés dans la première partie de cette Thèse.Classifier des systèmes induit deux objectifs que sont la formalisation des éléments communs aux systèmes dan
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Amine, Semaan Elias. "Lower-mobility parallel manipulators : geometrical analysis, singularities and conceptual design." Ecole Centrale de Nantes, 2011. http://www.theses.fr/2011ECDN0057.

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Les travaux présentés dans cette thèse portent sur l’analyse géométrique, l’étude des singularités et la concep-tion préliminaire de manipulateurs parallèles à mobilité restreinte. Les principales contributions résident dans le développement d’une méthode systématique d’analyse de singularités des manipulateurs parallèles à mobilité restreinte à l’aide de l’algèbre de Grassmann-Cayley et la géométrie de Grassmann, et d’une approche de prise en compte des singularités au stade de la conception préliminaire de manipulateurs parallèles. Le mémoire est divisé en six chapitres. Le premier chapitre
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Silling, Stewart Andrew Knowles James K. "Singularities and phase transitions in elastic solids : numerical studies and stability analysis /." Diss., Pasadena, Calif. : California Institute of Technology, 1986. http://resolver.caltech.edu/CaltechETD:etd-03082008-083510.

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Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 4: Pseudodifferential operators." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2658/.

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Contents: Chapter 4: Pseudodifferential Operators 4.1. Preliminary Remarks 4.1.1. Why are pseudodifferential operators needed? 4.1.2. What is a pseudodifferential operator? 4.1.3. What properties should the pseudodifferential calculus possess? 4.2. Classical Pseudodifferential Operators on Smooth Manifolds 4.2.1. Definition of pseudodifferential operators on a manifold 4.2.2. Hörmander’s definition of pseudodifferential operators 4.2.3. Basic properties of pseudodifferential operators 4.3. Pseudodifferential Operators in Sections of Hilbert Bundles 4.3.1. Hilbert bundles 4.3.2. Operator-va
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Books on the topic "Singularities analysis"

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Rauch, Jeffrey. Singularities and Oscillations. Springer New York, 1997.

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Unfolding CR singularities. American Mathematical Society, 2009.

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Clarke, C. J. S. The analysis of space-time singularities. Cambridge University Press, 1993.

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Kapanadze, David. Crack Theory and Edge Singularities. Springer Netherlands, 2003.

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I, Arnolʹd V. Singularities of differentiable maps. Birkhäuser, 1985.

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Chen, Shuxing. Analysis of singularities for partial differential equations. World Scientific, 2011.

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Symposium "Analysis on Manifolds with Singularities," (1990 Breitenbrunn, Saxony, Germany). Symposium "Analysis on Manifolds with Singularities": Breitenbrunn, 1990. Teubner, 1992.

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Field singularities and wave analysis in continuum mechanics. E. Horwood, 1986.

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Schulze, Bert-Wolfgang, and Hans Triebel, eds. Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990. Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-11577-9.

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Flajolet, Philippe. Singularity analysis of generating functions. Dept. of Computer Science, Stanford University, 1988.

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Book chapters on the topic "Singularities analysis"

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Pap, Endre. "Isolated Singularities." In Complex Analysis through Examples and Exercises. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-1106-7_7.

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Tarkhanov, Nikolai N. "Removable Singularities." In The Analysis of Solutions of Elliptic Equations. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8804-1_2.

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Kawai, Takahiro, and Henry P. Stapp. "On infrared singularities." In New Trends in Microlocal Analysis. Springer Japan, 1997. http://dx.doi.org/10.1007/978-4-431-68413-8_9.

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Taylor, Michael E. "Microlocal Analysis on Morrey Spaces." In Singularities and Oscillations. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1972-9_6.

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Pham, Frédéric. "Introduction to Sato’s microlocal analysis." In Singularities of integrals. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-603-0_14.

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Hörmander, Lars. "Spectral Analysis of Singularities." In The Analysis of Linear Partial Differential Operators I. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-96750-4_9.

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Hörmander, Lars. "Spectral Analysis of Singularities." In The Analysis of Linear Partial Differential Operators I. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-61497-2_9.

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Duff, G. F. D. "Singularities, Supports and Lacunas." In Advances in Microlocal Analysis. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4606-4_4.

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Mallat, Stéphane, and Wen Liang Hwang. "Characterization of singularities." In Probabilistic and Stochastic Methods in Analysis, with Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2791-2_3.

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Agarwal, Ravi P., Kanishka Perera, and Sandra Pinelas. "Singularities and Poles I." In An Introduction to Complex Analysis. Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0195-7_29.

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Conference papers on the topic "Singularities analysis"

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PATNIAK, S., J. GUPTILL, and L. BERKE. "Singularities in optimal structural design." In 4th Symposium on Multidisciplinary Analysis and Optimization. American Institute of Aeronautics and Astronautics, 1992. http://dx.doi.org/10.2514/6.1992-4818.

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Ferčec, Brigita. "On (non)elementary singularities in Liénard systems." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4994526.

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Korotkevich, Alexander O., Pavel M. Lushnikov, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637760.

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Aghajafari, Ramin. "Time-domain analysis of closed structures singularities." In 2010 Asia-Pacific International Symposium on Electromagnetic Compatibility. IEEE, 2010. http://dx.doi.org/10.1109/apemc.2010.5475837.

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TAKEMURA, KOUICHI. "INTRODUCTION TO MIDDLE CONVOLUTION FOR DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITIES." In Proceedings of the Infinite Analysis 09. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814324373_0020.

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Pedas, Arvet, Gennadi Vainikko, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Numerical Solution of Fredholm Integral Equations with Diagonal and Boundary Singularities." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790163.

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Impedovo, Sebastiano, Anna Ferrante, and Raffaele Modugno. "HMM Based Handwritten Word Recognition System by Using Singularities." In 2009 10th International Conference on Document Analysis and Recognition. IEEE, 2009. http://dx.doi.org/10.1109/icdar.2009.73.

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Mailybaev, Alexei, and Alexander Seyranian. "Sensitivity analysis of eigenvalues and singularities of stability domains." In 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-4768.

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Gabitov, Ildar R., Pavel M. Lushnikov, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Symposium: Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241287.

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Li, Yan, and YangQuan Chen. "Quantitative Analysis of Singularities for Fractional Order Systems." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46879.

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The singularity is an intrinsic property for various fractional order systems. This paper focuses on the time domain analysis of typical “non-proper” fractional order transfer functions, which plays the crucial role in the implementation, stability and control of fractional order systems. To this end, the fractional order system is converted into a weak singularity integro-differential equation, where the non-proper property can be clearly presented. A practical strategy is shown to find out the poles in the first Riemann plane, which is especially applicable to small commensurate order proble
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