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Relevant bibliographies by topics / Convolution integrals

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Academic literature on the topic 'Convolution integrals'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Convolution integrals"

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PAP, ENDRE, and IVANA ŠTAJNER. "PSEUDO-CONVOLUTION BASED ON IDEMPOTENT OPERATION AS LIMIT OF g-CONVOLUTION." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 07, no. 06 (1999): 615–29. http://dx.doi.org/10.1142/s0218488599000520.

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Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊕-decomposable measures where ⊕ is generated pseudo-addition, as their cores.

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Kiliçman, Adem, and Brian Fisher. "On the Fresnel integrals and the convolution." International Journal of Mathematics and Mathematical Sciences 2003, no. 41 (2003): 2635–43. http://dx.doi.org/10.1155/s0161171203211522.

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The Fresnel cosine integralC(x), the Fresnel sine integralS(x), and the associated functionsC+(x),C−(x),S+(x), andS−(x)are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions withx+randxrare evaluated.

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Kuchuk, Fikri. "Three Convolution Integrals." SIAM Review 29, no. 4 (1987): 632–33. http://dx.doi.org/10.1137/1029120.

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Kılıçman, Adem. "On the Fresnel sine integral and the convolution." International Journal of Mathematics and Mathematical Sciences 2003, no. 37 (2003): 2327–33. http://dx.doi.org/10.1155/s0161171203211510.

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The Fresnel sine integralS(x), the Fresnel cosine integralC(x), and the associated functionsS+(x), S−(x), C+(x), andC−(x)are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions withx+r, xrare evaluated.

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Selvaggi, Jerry P., and Jerry A. Selvaggi. "The Application of Real Convolution for Analytically Evaluating Fermi-Dirac-Type and Bose-Einstein-Type Integrals." Journal of Complex Analysis 2018 (May 6, 2018): 1–8. http://dx.doi.org/10.1155/2018/5941485.

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The Fermi-Dirac-type or Bose-Einstein-type integrals can be transformed into two convergent real-convolution integrals. The transformation simplifies the integration process and may ultimately produce a complete analytical solution without recourse to any mathematical approximations. The real-convolution integrals can either be directly integrated or be transformed into the Laplace Transform inversion integral in which case the full power of contour integration becomes available. Which method is employed is dependent upon the complexity of the real-convolution integral. A number of examples ar

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Böhm, Walter. "Three Convolution Integrals (F. Kuchuk)." SIAM Review 30, no. 4 (1988): 661–62. http://dx.doi.org/10.1137/1030152.

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Yakubovich, S. B., and Shyam L. Kalla. "On a new approach to convolution constructions." International Journal of Mathematics and Mathematical Sciences 16, no. 3 (1993): 435–48. http://dx.doi.org/10.1155/s0161171293000559.

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In this paper we establish some new approach to constructing convolution for general Mellin type transforms. This method is based on the theory of double Hellin-Barnes integrals. Some properties of convolutions and several examples are given.

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Margrave, Gary F. "Theory of nonstationary linear filtering in the Fourier domain with application to time‐variant filtering." GEOPHYSICS 63, no. 1 (1998): 244–59. http://dx.doi.org/10.1190/1.1444318.

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A general linear theory describes the extension of the convolutional method to nonstationary processes. This theory can apply any linear, nonstationary filter, with arbitrary time and frequency variation, in the time, Fourier, or mixed domains. The filter application equations and the expressions to move the filter between domains are all ordinary Fourier transforms or generalized convolutional integrals. Nonstationary transforms such as the wavelet transform are not required. There are many possible applications of this theory including: the one‐way propagation of waves through complex media,

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Borkowski, Marcin, and Daria Bugajewska. "Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations." Mathematica Slovaca 68, no. 1 (2018): 77–88. http://dx.doi.org/10.1515/ms-2017-0082.

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Abstract In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution involving functions integrable in Henstock-Kurzweil sense. In the case of nonlinear Hammerstein integral equation as well as Volterra integral equation we look for solutions in the space of functions of bounded variation in the sense of Jordan.

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Li, Chun, Alan McIntosh, and Stephen Semmes. "Convolution singular integrals on Lipschitz surfaces." Journal of the American Mathematical Society 5, no. 3 (1992): 455. http://dx.doi.org/10.1090/s0894-0347-1992-1157291-5.

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Dissertations / Theses on the topic "Convolution integrals"

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Wang, Zipeng. "Generalized Dirichlet to Neumann map for linear evolution equations on half-line, and, Singular integrals of non-convolution type on product spaces." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709335.

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Sundquist, Andreas 1979. "Dynamic line integral convolution for visualizing electromagnetic phenomena." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/16776.

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Thesis (M.Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science; and, (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2001.<br>Includes bibliographical references (leaves 62-63).<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Vector field visualization is a useful tool in science and engineering, giving us a powerful way of understanding the structure and evolution of the field. A fairly recent technique called Line Int

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Lee, Jaewook. "Volume painting: incorporating volumetric rendering with line integral convolution (LIC)." Texas A&M University, 2005. http://hdl.handle.net/1969.1/2642.

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This thesis presents an expressive (non-photorealistic) rendering approach created by combining volumetric rendering techniques with the Line Integral Convolution (LIC) in 3D space. Although some techniques that combine volume rendering with the LIC have been introduced in computer graphics, they are mainly used for the scientific visualization fields, such as the visualization of 3D fluid fields. Unlike earlier research, we will focus on artistic representation, which is significantly different than scientific visualization research. We will implement a brush-stroke effect on the implicit sur

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Dušanka, Perišić. "On Integral Transforms and Convolution Equations on the Spaces of Tempered Ultradistributions." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 1992. https://www.cris.uns.ac.rs/record.jsf?recordId=73337&source=NDLTD&language=en.

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In the thesis are introduced and investigated spaces of Burling and of Roumieu type tempered ultradistributions, which are natural generalization of the space of Schwartz’s tempered distributions in Denjoy-Carleman-Komatsu’s theory of ultradistributions.  It has been proved that the introduced spaces preserve all of the good properties Schwartz space has, among others, a remarkable one, that the Fourier transform maps continuposly the spaces into themselves.In the first chapter the necessary notation and notions are given.In the second chapter, the spaces of ultrarapidly decre

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Morrison, Garrett. "On the Performance of Line Integral Convolution in a Distributed-Memory Parallel Setting." Thesis, University of Oregon, 2018. http://hdl.handle.net/1794/23835.

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Line integral convolution (LIC) is a powerful tool for visualizing vector fields by combining particle advection with image convolution. Practical usage of LIC is limited by its computational expense, requiring many calculations for every cell in the mesh. Fortunately, computation of LIC can be accelerated through parallelization. In this thesis we evaluate whether LIC parallelizes better over distributed systems than comparable particle advection algorithms. We do this by harnessing the VisIt Parallel Integral Curve System for the generation of LIC convolution kernels. We also contribute an e

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Bevan, Edward James. "Inversion of Fredholm integral equations of the Mellin convolution type arising in atmospheric remote sensing." Diss., The University of Arizona, 1995. http://hdl.handle.net/10150/187041.

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In this paper, the mathematics associated with simultaneous measurements of two parameters arising in the remote sensing of the atmosphere are cast in a form that permits the explicit solution for the eigenvalues and eigenfunctions. These eigenvalues and eigenfunctions are then used to deal with the ill-posed nature of the problem and ultimately to solve for the unknown atmospheric particle size density based on the information in both sets of measurements. The physical setting for this problem involves the measurement of optical transmission and the angular scattering of intensity. Using the

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Mendonça, Marcelo de Barros. "Aplicação de texturas em visualização científica." Universidade de São Paulo, 2001. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-24042002-135403/.

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A crescente disponibilidade de recursos computacionais para o cálculo, simulação e aquisição de dados permite que cientistas e engenheiros produzam enormes conjuntos de dados, bi ou tridimensionais, em geral multivariados. A aplicação de técnicas de Computação Gráfica com o objetivo de ganhar compreensão desses dados compreende o objeto de estudo da área conhecida por Visualização Científica. Texturização é uma forma de variar as propriedades de uma superfície ponto a ponto de forma que esta simule detalhes que não estão de fato presentes na sua geometria. A texturização pode ser aplicada usa

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Pavel, Dimovski. "Translation invariant Banach spaces of distributions and boundary values of integral transform." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=93767&source=NDLTD&language=en.

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We use common notation &lowast; for distribution (Scshwartz), (M<sub>p</sub>) (Beurling) i {M<sub>p</sub>} (Roumieu) setting. We introduce and study new (ultra) distribution spaces, the test function spaces <em>D<sup>&lowast;</sup><sub>E</sub></em>  and their strong duals <em>D<sup>'&lowast;</sup><sub>E’*</sub></em>.These spaces generalize the spaces <em>D<sup>&lowast;</sup><sub>L<sup>q</sup></sub> , D'<sup>&lowast;</sup><sub>L<sup>p</sup></sub> , B’*</em> and their weighted versions. The construction of our new (ultra)distribution  spaces is based on th

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社本, 英二, Eiji SHAMOTO, 励. 樋野 та ін. "CNC装置の内部情報を利用した工作機械の熱変形推定". 日本機械学会, 2003. http://hdl.handle.net/2237/9005.

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Averseng, Martin. "Méthodes efficaces pour la diffraction acoustique en 2 et 3 dimensions : préconditionnement sur des domaines singuliers et convolution rapide." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX083.

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Cette thèse porte sur le problème de la diffration acoustique par un obstacle et sa résolution numérique par la méthode des éléments finis de frontière. Dans les trois premiers chapitres, on s'intéresse au cas où l'obstacle possède des singularités géométriques. Nous traitons le cas particulier des singularités de bord, courbes ouvertes en dimension 2, et surfaces ouvertes en dimension 3. Nous introduisons un formalisme qui permet de retrouver les bonnes propriétés de la méthode pour des objets réguliers. Une fonction de poids est définie sur les objets diffractant, et les opérateurs intégraux

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Books on the topic "Convolution integrals"

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1953-, Spitkovskiĭ Ilya M., ed. Convolution equations and singular integral operators: Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Birkhäuser, 2010.

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1961-, Yakubovich S. B., ed. The double Mellin-Barnes type integrals and their applications to convolution theory. World Scientific, 1992.

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Volchkov, V. V. Integral Geometry and Convolution Equations. Springer Netherlands, 2003.

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Integral geometry and convolution equations. Kluwer Academic Publishers, 2003.

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Volchkov, V. V. Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9.

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Lerer, Leonid, Vadim Olshevsky, and Ilya M. Spitkovsky, eds. Convolution Equations and Singular Integral Operators. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8956-7.

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Srivastava, H. M. Theory and applications of convolution integral equations. Kluwer Academic Publishers, 1992.

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Srivastava, H. M., and R. G. Buschman. Theory and Applications of Convolution Integral Equations. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8092-2.

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Stepanov, V. D. Nekotorye voprosy teorii integralʹnykh operatorov svertki. Dalʹnauka, 2000.

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Yakubovich, S. B. The hypergeometric approach to integral transforms and convolutions. Kluwer Academic, 1994.

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Book chapters on the topic "Convolution integrals"

1

Volchkov, V. V. "Functions with Vanishing Integrals Over Parallelepipeds." In Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_20.

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Volchkov, V. V. "Functions with Vanishing Integrals over Ellipsoids." In Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_22.

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Grafakos, Loukas. "Singular Integrals of Convolution Type." In Classical Fourier Analysis. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-09432-8_4.

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Grafakos, Loukas. "Singular Integrals of Convolution Type." In Classical Fourier Analysis. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1194-3_5.

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Volchkov, V. V. "Functions with Zero Integrals Over Spherical Caps." In Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_12.

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Volchkov, V. V. "Functions with Zero Integrals in Problems of the Discrete Geometry." In Integral Geometry and Convolution Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_34.

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Gräfe, Wolfgang. "Detailed Calculation of the Convolution Integrals." In Quantum Mechanical Models of Metal Surfaces and Nanoparticles. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19764-7_11.

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Makarov, Boris, and Anatolii Podkorytov. "Approximation and Convolution in the Spaces." In Real Analysis: Measures, Integrals and Applications. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5122-7_9.

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Badrieh, Fuad. "Signal Construction in Terms of Convolution Integrals." In Spectral, Convolution and Numerical Techniques in Circuit Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71437-0_20.

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Mitrinović, D. S., J. E. Pečarić, and A. M. Fink. "Convolution, Rearrangement and Related Inequalities." In Inequalities Involving Functions and Their Integrals and Derivatives. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3562-7_10.

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Conference papers on the topic "Convolution integrals"

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Šeliga, Adam. "Some Remarks on Convolution of Collection Integrals." In 19th World Congress of the International Fuzzy Systems Association (IFSA), 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and 11th International Summer School on Aggregation Operators (AGOP). Atlantis Press, 2021. http://dx.doi.org/10.2991/asum.k.210827.076.

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Guard, P., I. Teakle, P. Nielsen, and T. Baldock. "Modelling Sheet Flow Sediment Transport Using Convolution Integrals." In Sixth International Symposium on Coastal Engineering and Science of Coastal Sediment Process. American Society of Civil Engineers, 2007. http://dx.doi.org/10.1061/40926(239)22.

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Guard, Paul, Ian Teakle, Peter Nielsen, and Tom Baldock. "SHEET FLOW SEDIMENT TRANSPORT MODELLING USING CONVOLUTION INTEGRALS." In Proceedings of the 30th International Conference. World Scientific Publishing Company, 2007. http://dx.doi.org/10.1142/9789812709554_0189.

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Wang, C. H., M. M. Grigoriev, and G. F. Dargush. "A Fast Time Convolution Algorithm for Unsteady Heat Diffusion Problems." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56322.

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A new algorithm is developed to evaluate the time convolution integrals that are associated with boundary element methods (BEM) for transient diffusion. This approach, which is based upon the multi-level multi-integration concepts of Brandt and Lubrecht, provides a fast, accurate and memory efficient time domain method for this entire class of problems. Conventional BEM approaches result in operation counts of order O(N2) for the discrete time convolution over N time steps. Here we focus on the formulation for linear problems of transient heat diffusion and demonstrate reduced computational co

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Argento, A., and R. A. Scott. "Response of a Rotating Beam Subject to an Accelerating Force." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0224.

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Abstract A method is given by which the response of a rotating Timoshenko beam subjected to an accelerating fixed direction force can be determined. The beam model includes the gyroscopically induced displacement transverse to the direction of the load. The solution for pinned supports is set up in general form using multi-integral transforms and the inversion is expressed in terms of convolution integrals. These are numerically integrated for a uniformly distributed load having an exponentially varying velocity function. Results are presented for the displacement under the load’s center as a

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Wu, Leyuan. "A hybrid rectangle-Gaussian grid for continuous convolution integrals: With application in gravity forward modelling." In SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, 2017. http://dx.doi.org/10.1190/segam2017-17496460.1.

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Vakakis, A. F., and C. Cetinkaya. "Analytical Study of Dispersion of Stress Waves in a Weakly Coupled Layered System." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0550.

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Abstract Dispersion of transient stress waves in the first layer of a weakly coupled semi-infinite bi-layered system is carried out. Fourier transform inversions are performed analytically by making use of the fact that the weakly coupled system possesses small propagation zones (PZs) in the frequency domain. Low- and high-frequency asymptotic approximations to the transient waves are computed, taking into account frequency components of the transfer function in the first and second PZs, respectively. The derived analytic expressions are superpositions of non-oscillating terms and convolution

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Ying, S., and C. A. Tan. "Dynamic Analysis of the Axially Moving String Based on Wave Propagation." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0645.

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Abstract This paper presents an exact solution for the transverse response of an axially moving string under general boundary conditions. The response solution is derived in the frequency domain and interpreted in terms of wave propagation functions. The response in the time domain involves only several convolution integrals which can easily be obtained for many physical boundary conditions. The transient response of the translating string with a spring or a dashpot at a boundary is presented.

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van Zutphen, Hermione J., and Joost den Haan. "Practical Implementation of the Polynomial Representation of Potential Damping in Time Domain Simulations." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67385.

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Time domain simulations are required when analyzing nonlinear vessel behaviour. The usual approach conducting time domain simulations is to transform a complex valued function of frequency dependent damping and added mass to a convolution integral in the time domain. Evaluating the integrals during time domain simulations is computational expensive and the accuracy of the calculation of the limit value of added mass in diffraction calculations is dependent on the panel size of the model. In this paper, an alternative approach based on a polynomial model for damping proposed by K.E. Kaasen et a

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Agrawal, Om P. "An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8238.

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Abstract This paper presents an analytical technique for the analysis of a stochastic dynamic system whose damping behavior is described by a fractional derivative of order 1/2. In this approach, an eigenvector expansion method proposed by Suarez and Shokooh is used to obtain the response of the system. The properties of Laplace transforms of convolution integrals are used to write a set of general Duhamel integral type expressions. The general response contains two parts, namely zero state and zero input. For a stochastic analysis the input force is treated as a random process with specified

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Reports on the topic "Convolution integrals"

1

Firpo, Rodolfo E. A Method to Easily Visualize and Solve a Convolution Integral by Direct Integration. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada602143.

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