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Relevant bibliographies by topics / Regularization of improper integrals

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Academic literature on the topic 'Regularization of improper integrals'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Regularization of improper integrals"

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Lucido, Mario. "Analysis of the Propagation in High-Speed Interconnects for MIMICs by Means of the Method of Analytical Preconditioning: A New Highly Efficient Evaluation of the Coefficient Matrix." Applied Sciences 11, no. 3 (2021): 933. http://dx.doi.org/10.3390/app11030933.

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The method of analytical preconditioning combines the discretization and the analytical regularization of a singular integral equation in a single step. In a recent paper by the author, such a method has been applied to a spectral domain integral equation formulation devised to analyze the propagation in polygonal cross-section microstrip lines, which are widely used as high-speed interconnects in monolithic microwave and millimeter waves integrated circuits. By choosing analytically Fourier transformable expansion functions reconstructing the behavior of the fields on the wedges, fast convergence is achieved, and the convolution integrals are expressed in closed form. However, the coefficient matrix elements are one-dimensional improper integrals of oscillating and, in the worst cases, slowly decaying functions. In this paper, a novel technique for the efficient evaluation of such kind of integrals is proposed. By means of a procedure based on Cauchy integral theorem, the general coefficient matrix element is written as a linear combination of fast converging integrals. As shown in the numerical results section, the proposed technique always outperforms the analytical asymptotic acceleration technique, especially when highly accurate solutions are required.

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Takayama, Teruou, Takazumi Yamaguchi, Ayumu Saitoh, and Atsushi Kamitani. "FEM-simulation of superconducting linear acceleration system for pellet injection." International Journal of Applied Electromagnetics and Mechanics 64, no. 1-4 (2020): 1469–75. http://dx.doi.org/10.3233/jae-209467.

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In order to simulate the high-temperature superconducting (HTS) linear acceleration (SLA) system for the pellet injection, the integration method of the applied magnetic field generated from the acceleration coil has been proposed. To this end, the regularization technique is used in the evaluation of the improper integrals, and simultaneously, a FEM code is developed for analyzing the shielding current density in an HTS film. In addition, the SLA system has been simulated using the code. The results of the computations show that the accuracy of the applied magnetic field is considerably improved. In this sense, the regularization technique is a useful tool. Also by locating the outer coil, the acceleration time during which the pellet speed reaches 5 km/s is about 3.5 times shorter than that of the only use of the inner coil. These results mean that the outer coil is effective in the improvement of the acceleration performance for the SLA system.

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NATSIOPOULOS, GEORGIOS. "ALTERNATIVE TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS FOR THE SCALAR WAVE EQUATION USING DIVERGENCE-FREE REGULARIZATION TERMS." Journal of Computational Acoustics 17, no. 02 (2009): 211–18. http://dx.doi.org/10.1142/s0218396x09003938.

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In this short note alternative time domain boundary integral equations (TDBIE) for the scalar wave equation are formulated on a surface enclosing a volume. The technique used follows the traditional approach of subtracting and adding back relevant Taylor expansion terms of the field variable, but does not restrict this to the surface patches that contain the singularity only. From the divergence-free property of the added-back integrands, together with an application of Stokes' theorem, it follows that the added-back terms can be evaluated using line integrals defined on a cut between the surface and a sphere whose radius increases with time. Moreover, after a certain time, the line integrals may be evaluated directly. The results provide additional insight into the theoretical formulations, and might be used to improve numerical implementations in terms of stability and accuracy.

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Beale, J. Thomas, Wenjun Ying, and Jason R. Wilson. "A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces." Communications in Computational Physics 20, no. 3 (2016): 733–53. http://dx.doi.org/10.4208/cicp.030815.240216a.

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AbstractWe present a simple, accurate method for computing singular or nearly singular integrals on a smooth, closed surface, such as layer potentials for harmonic functions evaluated at points on or near the surface. The integral is computed with a regularized kernel and corrections are added for regularization and discretization, which are found from analysis near the singular point. The surface integrals are computed from a new quadrature rule using surface points which project onto grid points in coordinate planes. The method does not require coordinate charts on the surface or special treatment of the singularity other than the corrections. The accuracy is about O(h3), where h is the spacing in the background grid, uniformly with respect to the point of evaluation, on or near the surface. Improved accuracy is obtained for points on the surface. The treecode of Duan and Krasny for Ewald summation is used to perform sums. Numerical examples are presented with a variety of surfaces.

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BULDYREV, VLADIMIR, and NATALIE GRIGORIEVA. "SOUND FIELD IN A WATER LAYER OF CHANGEABLE DEPTH EXCITED BY A SOURCE MOVING IN AIR." Journal of Computational Acoustics 03, no. 03 (1995): 219–28. http://dx.doi.org/10.1142/s0218396x95000100.

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The subject of this paper is the construction of the nonstationary normal waves excited in the ocean of changeable depth by a source moving in the atmosphere. In the atmosphere, the sound speed is assumed to be constant and in water it depends on depth, slow horizontal coordinates as well as slow time. The bottom is assumed to be rigid. The source is radiating a signal with varying amplitude and phase. It is moving with a speed which is smaller than the sound speed in liquid. To find the nonstationary normal waves, the nonstationary variant of the well-known method of horizontal rays/vertical modes is used. Arising Sturm–Liouville problems in the semi-infinite interval are reduced to the Sturm–Liouville problems in the finite interval. The reduction allows one to avoid the regularization of improper integrals involving the eigenfunctions of the considered Sturm–Liouville problems. The variation of diverse characteristics of the normal waves in time is also investigated. It is shown that in a wedge–shaped domain, the nonstationary normal waves excited by the moving point source will be registered at the observation point before the source passes over it.

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Gray, John, and Andrew Vogt. "Means as Improper Integrals." Mathematics 7, no. 3 (2019): 284. http://dx.doi.org/10.3390/math7030284.

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The aim of this work is to study generalizations of the notion of the mean. Kolmogorov proposed a generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the weak law of large numbers in the same way that the ordinary mean relates to the strong law. We propose a further generalization, also based on an improper integral, called the doubly-weak mean, applicable to heavy-tailed distributions such as the Cauchy distribution and the other symmetric stable distributions. We also consider generalizations arising from Abel–Feynman-type mollifiers that damp the behavior at infinity and alternative formulations of the mean in terms of the cumulative distribution and the characteristic function.

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Wawak, Ryszard. "Improper integrals of distributions." Studia Mathematica 86, no. 3 (1987): 205–20. http://dx.doi.org/10.4064/sm-86-3-205-220.

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Felder, Giovanni, and David Kazhdan. "Regularization of divergent integrals." Selecta Mathematica 24, no. 1 (2017): 157–86. http://dx.doi.org/10.1007/s00029-017-0323-9.

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Doucette, Robert L. "Composite Rules for Improper Integrals." Missouri Journal of Mathematical Sciences 10, no. 2 (1998): 83–90. http://dx.doi.org/10.35834/1998/1002083.

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Flynn, Gerald. "Numerical Methods for Improper Integrals." College Mathematics Journal 26, no. 4 (1995): 284. http://dx.doi.org/10.2307/2687029.

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Dissertations / Theses on the topic "Regularization of improper integrals"

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Fernández, Luiz Henrique da Silva. "Formulação dual do método dos elementos de contorno anisotrópico." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-11072013-083552/.

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Este texto trata do Método dos Elementos de Contorno Dual empregando a solução fundamental anisotrópica. As integrais impróprias que surgem nesta formulação são regularizadas pela técnica da subtração de singularidade. Aplica-se a transformação de coordenadas auto-adaptativa de Telles para a avaliação das integrais quase-singulares. Apresenta-se o programa computacional desenvolvido utilizando os paradigmas da programação orientada a objetos e processamento em paralelo. Foram analisados diversos problemas e os resultados obtidos comparados àqueles da solução analítica. Os resultados alcançados mostraram-se satisfatórios validando a formulação proposta.<br>This text deals with the Dual Boundary Element Formulation Method using the fundamental solution for anisotropic body. The improper integrals that arise in this formulation are regularized using the singularity subtraction technique. The self-adaptive coordinate transformation developed by Telles is used to evaluate the near-singular integrals. The computer program developed using the paradigms of object-oriented programming and parallel processing is presented. Several problems were analyzed and its results compared with those proposed by analytical solution. The results achieved were satisfactory therefore validating the proposed formulation.

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Panzer, Erik. "Feynman integrals and hyperlogarithms." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17157.

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Wir untersuchen Feynman-Integrale in der Darstellung mit Schwinger-Parametern und leiten rekursive Integralgleichungen für masselose 3- und 4-Punkt-Funktionen her. Eigenschaften der analytischen (und dimensionalen) Regularisierung werden zusammengefasst und wir beweisen, dass in der Euklidischen Region jedes Feynman-Integral als eine Linearkombination konvergenter Feynman-Integrale geschrieben werden kann. Dies impliziert, dass man stets eine Basis aus konvergenten Masterintegralen wählen kann und somit divergente Integrale nicht selbst berechnet werden müssen. Weiterhin geben wir eine in sich geschlossene Darstellung der Theorie der Hyperlogarithmen und erklären detailliert die nötigen Algorithmen, um diese für die Berechnung mehrfacher Integrale anzuwenden. Wir definieren eine neue Methode um die Singularitäten solcher Integrale zu bestimmen und stellen ein Computerprogramm vor, welches die Integrationsalgorithmen implementiert. Unser Hauptresultat ist die Konstruktion unendlicher Familien masseloser 3- und 4-Punkt-Funktionen (diese umfassen unter anderem alle Leiter-Box-Graphen und deren Minoren), deren Feynman-Integrale zu allen Ordnungen in der epsilon-Entwicklung durch multiple Polylogarithmen dargestellt werden können. Diese Integrale können mit dem vorgestellten Programm explizit berechnet werden. Die Arbeit enthält interessante Beispiele von expliziten Ergebnissen für Feynman-Integrale mit bis zu 6 Schleifen. Insbesondere präsentieren wir den ersten exakt bestimmten Gegenterm in masseloser phi^4-Theorie, der kein multipler Zetawert ist sondern eine Linearkombination multipler Polylogarithmen, ausgewertet an primitiven sechsten Einheitswurzeln (und geteilt durch die Quadratwurzel aus 3). Zu diesem Zweck beweisen wir ein Paritätsresultat über die Zerlegbarkeit der Real- und Imaginärteile solcher Zahlen in Produkte und Beiträge geringerer Tiefe (depth).<br>We study Feynman integrals in the representation with Schwinger parameters and derive recursive integral formulas for massless 3- and 4-point functions. Properties of analytic (including dimensional) regularization are summarized and we prove that in the Euclidean region, each Feynman integral can be written as a linear combination of convergent Feynman integrals. This means that one can choose a basis of convergent master integrals and need not evaluate any divergent Feynman graph directly. Secondly we give a self-contained account of hyperlogarithms and explain in detail the algorithms needed for their application to the evaluation of multivariate integrals. We define a new method to track singularities of such integrals and present a computer program that implements the integration method. As our main result, we prove the existence of infinite families of massless 3- and 4-point graphs (including the ladder box graphs with arbitrary loop number and their minors) whose Feynman integrals can be expressed in terms of multiple polylogarithms, to all orders in the epsilon-expansion. These integrals can be computed effectively with the presented program. We include interesting examples of explicit results for Feynman integrals with up to 6 loops. In particular we present the first exactly computed counterterm in massless phi^4 theory which is not a multiple zeta value, but a linear combination of multiple polylogarithms at primitive sixth roots of unity (and divided by the square-root of 3). To this end we derive a parity result on the reducibility of the real- and imaginary parts of such numbers into products and terms of lower depth.

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Vassura, Edoardo. "Path integrals on curved space and the worldline formalism." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13448/.

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Lo scopo primario di questa tesi e' l’analisi di una nuova procedura di regolarizzazione di path integral su spazi curvi, presentata inizialmente dal fisico J. Guven e applicata al caso di una teoria di campo scalare , ma mai utilizzata per svolgere ulteriori calcoli espliciti. Questa procedura, se corretta, permetterebbe di utilizzare il formalismo di path integral su spazi piatti anche nel caso in cui la varieta' di background risulti localmente curva. Tale procedura trasforma di fatto un modello sigma non lineare in un modello efficace lineare, permettando pertanto di aggirare le usuali complicazioni dovute alla generalizzazione di path integral. Una prova diretta della correttezza della procedura di Guven sembra mancare in letteratura: per questo motivo in questa tesi verranno eseguiti vari test volti a tale verifica. Alcuni errori sono stati riscontrati nella proposta iniziale, tra i quali un termine di potenziale che risulta essere non corretto. Ad ogni modo siamo stati in grado di identificare un potenziale che permetta di riprodurre correttamente i primi due coefficienti dell’espansione in serie dell’heat kernel. Utilizzando lo stesso metodo abbiamo poi cercato di ottenere il successivo coefficiente dell’espansione (cubico in termini di curvatura): il risultato ottenuto non risulta essere corretto, cosa che segnala il fallimento di tale metodo ad ordini superiori. Visti tali risultati preliminari, siamo stati indotti a considerare una classe speciale di spazi curvi, quella degli spazi massimamente simmetrici, trovando invece che su tali spazi la procedura di Guven riproduce i risultati corretti. Come verifica abbiamo ottenuto la parte diagonale dell’heat kernel, che ́ stata poi utilizzata per riprodurre l’anomalia di traccia di tipo A per campi scalari in dimensioni arbitrarie fino a D = 12. Questi risultati sono in accordo con quelli attesi. Viene pertanto fornita una prova della validita' di tale procedura su questi spazi.

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Ubessi, Cristiano João Brizzi. "Método dos elementos de contorno para elasticidade linear 3D com avaliação direta das integrais singulares." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2014. http://hdl.handle.net/10183/108490.

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Este trabalho apresenta a formulação e implementação numérica do método dos elementos de contorno (MEC) para elasticidade linear tri-dimensional, com avaliação direta das integrais fracamente e fortemente singulares. A implementação segue a formulação tradicional do MEC direto, e a discretização do contorno das variáveis do problema é realizada com elementos descontínuos, permitindo o uso de malhas desconectadas ao longo das superfícies. O cálculo das integrais singulares é realizado através do uso de expansões assintóticas calculadas em torno de um ponto singular genérico. As expressões analíticas destas expansões são apresentadas no trabalho. Estas expansões serão subtraídas do núcleo original regularizando-o e a parte singular é integrada analiticamente, restando apenas uma integral regular, tornando ambas as integrais possíveis de serem calculadas com quadraturas de Gauss. É concluído que o presente método requer menos pontos de integração para o mesmo nível de erro quando comparado com outras técnicas. Alguns casos de elasticidade são resolvidos para ilustrar a eficiência e precisão do método.<br>This work presents the formulation and implementation of the boundary element method (BEM) to three dimensional linear elastostatics, with the direct evaluation of the strongly singular integral equations. The implementation follows the traditional direct BEM formulation, and the discretization of the boundary is carried out with discontinuous elements, enabling the use of disconnected meshes along the surfaces. The computation of the singular integral equations is accomplished by using the asymptotic expansions derived around a generic singular point. The analytical expressions for these expansions are presented in this work. The expansions are subtracted from the kernel to regularize it. This subtracted part is then added by computing a regular line integral along the boundary of the element. Both the integrals can be calculated with Gauss-type quadratures. It's observed that the present method needs less integration points for the same level of error when compared with other techniques. Several elasticity benchmarks are solved to demonstrate the eficiency and the accuracy of the present method.

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Branko, Sarić. "Furijeov red jedne klase funkcija sa diskontinuitetima." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2009. https://www.cris.uns.ac.rs/record.jsf?recordId=73296&source=NDLTD&language=en.

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U disertaciji se na bazi redefinisanih pojmova kako prostornog (inte-gralnog) izvoda tako i ostatka (rezidijuma) kompleksnih funkcija defini&scaron;e pojam totalne vrednosti nesvojstvenih integrala. Ova redefinisana vrednost integrala iskori&scaron;ćcena je za dokaz teoreme, koja je uop&scaron;tenje Dirihlejeve teoreme o razvoju realnih funkcija u Furijeov trigonometrijski red.<br>In this thesis we define the notion of the total value of improper integrals based on the redefined notions of the spatial (integral) derivative and the residue of complex functions. This redefined integrals is used to prove the theorem which is generalization of Dirichlet theorem on the expansion of real valued functions into Fourier trigonometric series.

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Chen, Ting-lang, and 陳丁郎. "Regularization of the Nearly Singular Integrals for the BEM Analysis on the Anisotropic Thermoelasticity Inside Domain." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/06852264585326957787.

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碩士<br>逢甲大學<br>航太與系統工程所<br>94<br>High-performance manufacture of material in recent years, for combine many kinds of different anisotropic material in order to reply the material package. Its function each makes up different physics of the material or chemical property in order to utilize, so that the things reach the best operation performance, this performance often has high strength, high toughness, light, corrosion-resistant and wear-resisting characteristic of dawdling etc. On the sports apparatus for already applying to the industry of the electrical machinery, electronic industry, boat industry, auto industry, shipping industry very much. The goal of this project is to analyze of the nearly singular integrals for the BEM Analysis on the anisotropic thermoelasticity inside domain anisotropic materials . In the past, the boundary element method (BEM) was not successful in analyzing thermoelastic stresses in anisotropic materials. This is because, in the boundary integral equation, the thermal effect reveals itself as an extra volume integral that requires domain discretisation and therefore destroys BEM’s notion as a boundary solution technique. This problem was not resolved until recently when the authors (Shiah, Y. C. and Tan, C. L., 1999) successfully transformed the extra volume integral into a series of boundary ones.

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Books on the topic "Regularization of improper integrals"

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Improper Riemann integrals. CRC, Taylor & Francis Group, 2014.

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Leni͡uk, M. P. Obchyslenni͡a nevlasnykh intehraliv metodom hibrydnykh intehralʹnykh peretvorenʹ. Chernivet͡sʹkyĭ derz͡h. universytet im. I͡U. Fedʹkovycha, 1994.

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Zhukova, Galina, and Margarita Rushaylo. Mathematical analysis in examples and tasks. Part 1. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072156.

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The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 1 of the proposed cycle of workshops on the following topics: theory of sets, theory of limits, theory of continuous functions; differential calculus of functions of one variable, its application to the study of the properties of functions and graph; integral calculus of functions of one variable: indefinite, definite, improper integrals; hyperbolic functions; applications of integral calculus to the analysis and solution of practical problems.  For the development of each topic the necessary theoretical and background material, reviewed a large number of examples with detailed analysis and solutions, the options for independent work. For self-training and quality control of the obtained knowledge provides exercises and problems with answers and guidance. For teachers, students and postgraduate students studying advanced mathematics.

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Zhukova, Galina, and Margarita Rushaylo. The mathematical analysis. Volume 1. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072169.

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The aim of the tutorial is to help students to master the basic concepts and methods of the study of calculus. Volume 1 explores the following topics: theory of sets, theory of limits; differential calculus of functions of one variable; investigation of the properties of functions and graphing; integral calculus of functions of one real variable (indefinite, definite and improper integrals), the technique of integration; hyperbolic functions; applications to the analysis and solution of practical problems. These topics are studied in universities, as a rule, in the first semester in the framework of self-discipline "Mathematical analysis" or the course "Higher mathematics", "Mathematics". Great attention is paid to comparison of these methods, the proper choice of study design tasks, analyze complex situations that arise in the study of these branches of mathematical analysis. For teachers, students and postgraduate students studying mathematical analysis.

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Real Functions in Several Variables: Volume IX sformation of Integrals and Improper Integrals. Bookboon, 2013.

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Real Functions in Several Variables: Volume IX sformation of Integrals and Improper Integrals. Bookboon, 2013.

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Real Functions in Several Variables: Volume IX sformation of Integrals and Improper Integrals. Bookboon, 2013.

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Real Functions in Several Variables: Volume IX sformation of Integrals and Improper Integrals. Bookboon.com, 2015.

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Radożycki, Tomasz. Solving Problems in Mathematical Analysis, Part II: Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations. Springer, 2020.

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Boudreau, Joseph F., and Eric S. Swanson. Numerical quadrature. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0005.

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This chapter discusses the numerous applications of numerical quadrature (integration) in classical mechanics, in semiclassical approaches to quantum mechanics, and in statistical mechanics; and then describes several ways of implementing integration in C++, for both proper and improper integrals. Various algorithms are described and analyzed, including simple classical quadrature algorithms as well as those enhanced with speedups and convergence tests. Classical orthogonal polynomials, whose properties are reviewed, are the basis of a sophisticated technique known as Gaussian integration. Practical implementations require the roots of these polynomials, so an algorithm for finding them from three-term recurrence relations is presented. On the computational side, the concept of polymorphism is introduced and exploited (prior to the detailed treatment later in the text). The nondimensionalization of physical problems, which is a common and important means of simplifying a problem, is discussed using Compton scattering and the Schrödinger equation as an example.

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Book chapters on the topic "Regularization of improper integrals"

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Mackevičius, Vigirdas. "Improper Integrals." In Integral and Measure. John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781119037514.ch6.

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Lang, Serge. "Improper Integrals." In Undergraduate Analysis. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2698-5_14.

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Walker, Peter Leslie. "Improper Integrals." In Examples and Theorems in Analysis. Springer London, 2004. http://dx.doi.org/10.1007/978-0-85729-380-0_5.

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Lopez, Robert J. "Improper Integrals." In Maple via Calculus. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0267-7_15.

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Magnus, Robert. "Improper Integrals." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46321-2_12.

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Eriksson, Kenneth, Donald Estep, and Claes Johnson. "Improper Integrals." In Applied Mathematics: Body and Soul. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05798-8_10.

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Shakarchi, Rami. "Improper Integrals." In Problems and Solutions for Undergraduate Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1738-1_14.

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Choudary, A. D. R., and Constantin P. Niculescu. "Improper Riemann Integrals." In Real Analysis on Intervals. Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-2148-7_10.

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Radożycki, Tomasz. "Examining Improper Integrals." In Problem Books in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36848-7_2.

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Protter, Murray H., and Charles B. Morrey. "Functions Defined by Integrals; Improper Integrals." In A First Course in Real Analysis. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4419-8744-0_11.

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Conference papers on the topic "Regularization of improper integrals"

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Yu, Chii-Huei. "Application of maple on evaluating multiple improper integrals." In 2013 6th International Conference on Advanced Infocomm Technology (ICAIT). IEEE, 2013. http://dx.doi.org/10.1109/icait.2013.6621489.

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Bakshi, Mayuresh, Virendra Sule, and Maryam Shojaei Baghini. "Regularization of Networks With Improper Port Functions." In 2018 15th IEEE India Council International Conference (INDICON). IEEE, 2018. http://dx.doi.org/10.1109/indicon45594.2018.8987094.

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Kiryakova, Virginia. "Use of fractional calculus to evaluate some improper integrals of special functions." In PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’17). Author(s), 2017. http://dx.doi.org/10.1063/1.5013994.

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Schettino, Fulvio. "On the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions." In 2019 PhotonIcs & Electromagnetics Research Symposium - Spring (PIERS-Spring). IEEE, 2019. http://dx.doi.org/10.1109/piers-spring46901.2019.9017410.

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Ikuno, Soichiro, Teruou Takayama, and Atsushi Kamitani. "Shielding current analysis in High-Temperature Superconductor: Highly accurate evaluation of improper integrals for EFG." In 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010). IEEE, 2010. http://dx.doi.org/10.1109/cefc.2010.5481556.

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Zozulya, V. V. "Regularization of the hypersingular integrals in 3-D problems of fracture mechanics." In BEM 30. WIT Press, 2008. http://dx.doi.org/10.2495/beo80221.

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Liao, Wen-I., and Tsung-Jen Teng. "On Evaluation of Lamb’s Integrals for Seismic Waves in a Three-Dimension Elastic Half-Space." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71448.

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Abstract:

The analytical method such as the boundary integral (element) method or the series expansion method is usually used to solve the wave scattering problem. In these methods, the singular Green’s function should be determined firstly; the main difficulty of the use of the Lamb’s singular solutions in integral form to represent the diffracted fields is the numerical implementation for the evaluation of those improper integrals. The integrands of these integrals are highly irregular and oscillatory. In this paper, a technique is proposed to calculate the integral in wave-number domain based on the method of steepest descent. After replacing the original integration path by steepest decent path, the wave-number integral results in a Gauss-Hermite type quadrature, so the oscillating characteristics of the original integrand can be removed and results a non-oscillating integrand, it is very helpful in computing efficiency.

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Ferlicca, Francesca. "Participation in the decision making-making cities proces of regularization policies in Buenos Aires. The case of Villa 20 in Buenos Aires autonomous city." In Post-Oil City Planning for Urban Green Deals Virtual Congress. ISOCARP, 2020. http://dx.doi.org/10.47472/kphy9788.

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In Latin American cities informal settlements and insecure land tenure are the result of an exclusionary planning and urban management system which fails to provide legal and secure housing for lower-income groups. Against this backdrop, the State implemented land-title and urban regulatory policies, in order to improve the housing conditions of these neighbourhoods and integrate their residents into the legal regime. This paper proposes to address the conflicts implied in the processes of urbanization and regularization of the villas of the city of Buenos Aires during the first government of Rodríguez Larreta (2015-2019). In the official political discourse, the urbanization of informal settlements is considered one of the main axes of local management. Within this framework, institutional changes are being carried out, such as the creation of the Ministry of Social and Urban Integration. This report proposes to address the participation implied in the process of urbanization and regularization of Villa 20 in the Autonomous City of Buenos Aires. This process have raised many challenges in the interaction between government decision-making and the needs of inhabitants of informal settlement. These challenges are linked to a) the democratic participation of the inhabitants in the decision-making process at all stages, b) land management policies and domain regularization; c) the modalities and logic of relocation of inhabitants; d) the provision and access to infrastructure services and public spaces; e) the treatment of tenants and other more vulnerable groups. Based on the analysis of the case study, we propose to account for the limits and scope of the implemented urbanization policy as well as for the opportunities to expand the horizon of tools and intervention modalities promote the right to the city and reduce territorial inequalities

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Zhu, Baoshan, Longbu Wang, Jie Zhai, and Shuliang Cao. "Numerical Simulation of Unsteady Flows Through a Francis Turbine Runner Using Vortex Methods." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-05009.

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A grid-free numerical scheme is provided for the solution of unsteady flow in the hydraulic turbines. The Lagrangian vortex method is utilized to evaluate the convection and stretch of the vorticity, and the boundary element method is used to solve the Neumann problem to define the potential flow. The no-slip boundary condition is satisfied by generating vortex sticks at the solid surface. A semi-analytical regularization technique is applied to evaluate the singular boundary surface integrals of the potential velocity and its gradients accurately. The fast multipole method (FMM) has been extended to evaluate the velocity and velocity gradients induced by the discretized vortex blobs in the Lagrangian vortex method. The successful simulation for the unsteady flow through a hydraulic turbine’s runner has manifested the effectiveness of the proposed method.

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Reports on the topic "Regularization of improper integrals"

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Gray, H. L., and Suojin Wang. A General Method for Approximating Improper Integrals. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada221153.

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