Academic literature on the topic 'Multiple integral contours'

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Journal articles on the topic "Multiple integral contours"

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Mihic, Ljubica, Aleksandar Pejcev, and Miodrag Spalevic. "Error bounds for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind." Filomat 30, no. 1 (2016): 231–39. http://dx.doi.org/10.2298/fil1601231m.

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For analytic functions the remainder terms of quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel, on elliptic contours with foci at the points -+1, for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind. Starting from the explicit expression of the corresponding kernel, derived by Gautschi and Li, we determine the locations on the ellipses where maximum modulus of the kernel is attained. The obtained values confirm the corresponding conjectured values given by Gautschi an
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Gupta, Preetam, and Srinivas G. "Aerodynamic Performance Enhancement of a Sports Vehicle Using Numerical Techniques." IOP Conference Series: Earth and Environmental Science 1100, no. 1 (2022): 012012. http://dx.doi.org/10.1088/1755-1315/1100/1/012012.

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Abstract Evaluation of vehicle aerodynamics is an integral part of automotive engineering. The aerodynamic performance of automobile has great influence on the power performance, economy, handling stability and ride comfort of the vehicle. In this context, the present work focuses on improving the aerodynamic performance of a modelled sports vehicle using numerical techniques. Baseline analysis of a research paper was conducted for validation of the results obtained in numerical simulations. Multiple turbulence models, flow boundary conditions, and inlet parameters were explored using Ansys Fl
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LI, SHUAI, SHI-PING WANG, and A.-MAN ZHANG. "CHARACTERISTICS OF THE JET IMPACT DURING THE INTERACTION BETWEEN A BUBBLE AND A WALL." International Journal of Modern Physics: Conference Series 42 (January 2016): 1660157. http://dx.doi.org/10.1142/s2010194516601575.

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The dynamics of a toroidal bubble splitting near a rigid wall in an inviscid incompressible fluid is studied in this paper. The boundary integral method is adopted to simulate the bubble motion. After the jet impact, the vortex ring model is used to handle the discontinued potential of the toroidal bubble. When the toroidal bubble is splitting, topology changes are made tear the bubble apart. Then, the vortex ring model is extended to multiple vortex rings to simulate the interaction between two toroidal bubbles. A typical case is discussed in this study. Besides, the velocity fields and press
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Frédéric, Ayant, Kumar Prvindra, and Singh Harendra. "On unified infinite integral involving product of multivariable Gimel-function and others special functions." APPLIED SCIENCE PERIODICAL XXIII, no. 3, August 2021 (2021): 1–16. https://doi.org/10.5281/zenodo.6796914.

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              The multivariable Gimel function [2] is an unified special function, it’s an extension of the multivariable Aleph-function defined by Ayant [1], the multivariable I-function defined by Prasad [9], the multivariable I-function defined by Prathima et al. [11] at a time, of course this function is a generalization of the multivariable H-function. To define this function, we use the multiple Mellin-Barnes integrals contour. 
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Bobkov, V. A., M. A. Morozov, and A. A. Shupikova. "Algorithm for Recognizing an Underwater Pipeline from Stereo Images." Informacionnye Tehnologii 29, no. 12 (2023): 639–49. http://dx.doi.org/10.17587/it.29.639-649.

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The problem of recognition of an underwater pipeline (UP) from stereo images using an autonomous underwater robot (AUV) is considered in relation to the initial position of tracking the UP, or to situations where the previous section of the UP is hidden by interference (submerged in the ground, hidden by algae, etc.). The final result of the identification of the UP section, visible by the stereo camera, is the calculation of its center line and the detection of the relative position of the AUV and UP in the camera coordinate system. The article proposes a recognition method based on the selec
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Shao, Zijia, Shuohao Wang, and Hetian Yu. "Application of the Residue Theorem to Euler Integral, Gaussian Integral, and Beyond." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 311–16. http://dx.doi.org/10.54097/hset.v38i.5821.

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The paper is divided into three different parts, which use the residue theorem to solve several different integrals, namely, the Euler integral, the Gaussian integral, the Fresnel integral, and so forth. The process of using the resiude theorem to determine these integrals is to first turn the integrals into convenient forms of complex integrals, and then find integral perimeters so that any integral on one of the curves is the required integral, through the drawing observation of the contour to write the original integral into the form of multiple integral. By studying the resiude theorem to
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Kravchenko, S. A. "Sociology on the move: The demand for the humanistic digital turn." RUDN Journal of Sociology 19, no. 3 (2019): 397–405. http://dx.doi.org/10.22363/2313-2272-2019-19-3-397-405.

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Digitalization of society has ambivalent consequences: there are new benefits (‘smart’ technologies, artificial intellect, multiple knowledge), but at the same time digital risks and metamorphoses that traumatize the behavior and thinking of people, alienate them from social ties and life-worlds. These processes have become a challenge for sociology and other social sciences that strive to develop new approaches, among which the digital and humanistic turns are the most relevant. The author aims at (a) analyzing the impact of digitalization on the production of metamorphoses and side effects o
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Xu, Guang Shen, Ya Ning Wang, and Kuang Kuang Jin. "Research of Mask Image’s Generation Based on STL Model for Integral Stereolithography System." Applied Mechanics and Materials 540 (April 2014): 468–71. http://dx.doi.org/10.4028/www.scientific.net/amm.540.468.

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To solve the problem that generation of mask image based on STL model for integral Stereolithography System, a novel method that can generate mask image based on STL model for integral Stereolithography System is proposed. Firstly, contour data is obtained with STL model slicing software; then properties of contour loop’s internal and external are determined; and then the order of contour loop’s filling is determined; Lastly, the contour loop is filled with the order, and mask image based on STL model can be produced. Generation of mask image is implemented with VC++6.0. The verification resul
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Chang, JH, and LW Guo. "Evaluation of surface energy for formation of multiple edge cracks using Medg-integral." International Journal of Damage Mechanics 29, no. 9 (2020): 1445–64. http://dx.doi.org/10.1177/1056789520922281.

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A novel contour integral approach termed Medg is introduced for computation of the surface energy required for the formation of multiple edge cracks. The method is developed by reinterpretation of the conventional M-integral with deliberate delimitation of integration contour and selection of coordinate origin. Due to path independence, this method is efficient, easy to implement by using finite elements, and does not require a complicated mesh around the crack tips for good accuracy. Attention is also addressed to discussion of the size effects on proper interpretation of its physical meaning
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Lenells, Jonatan, and Fredrik Viklund. "Asymptotic Analysis of Dotsenko–Fateev Integrals." Annales Henri Poincaré 20, no. 11 (2019): 3799–848. http://dx.doi.org/10.1007/s00023-019-00849-5.

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Abstract We develop a method for evaluating asymptotics of certain contour integrals that appear in conformal field theory under the name of Dotsenko–Fateev integrals and that are natural generalizations of the classical hypergeometric functions.We illustrate the method by establishing a number of estimates that are useful in the context of martingale observables for multiple Schramm–Loewner evolution processes.
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Book chapters on the topic "Multiple integral contours"

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Bashetty, Srikanth, and Selahattin Ozcelik. "An Overview of Analysis and Adaptive Pitch Control of an Offshore Floating Multi-Wind-Turbine Platform." In State-of-the-Art of Mathematical Modeling, Dynamics, and Control of Wind Turbines Engineering. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1008864.

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This chapter outlines the findings of research focused on the creation of a new semi-submersible Offshore Floating Multi-Wind-Turbine Platform (OFFWIND). The primary concerns addressed involve modeling the aerodynamic forces caused by wind speed on the turbines, as well as the hydrodynamic forces resulting from wind and wave interactions on the entire system. To simulate the rotation of the rotors on the five wind turbines placed on the platform, a multiple-moving reference frame combined with a sliding mesh technique is employed. The evaluation of pressure, velocity, and turbulence intensity contours of the OFFWIND is conducted, particularly concentrating on the downstream turbine which operates in the partial wake of the turbines located upstream. The aerodynamic forces acting on the wind turbines are assessed to analyze their aerodynamic efficiency. The determined aerodynamic loads are integrated with the hydrodynamic forces to assess the platform’s movements in response to wind and wave conditions. An adaptive control algorithm has been developed for blade pitch control. The performance of the adaptive control is evaluated against a standard Proportional-Integral (PI) controller. Simulation results demonstrate that the adaptive controller significantly improves rotor speed stability and reduces power output fluctuations under varying operational conditions.
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Conference papers on the topic "Multiple integral contours"

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Letelier, Mario F., and Dennis A. Siginer. "Pulsating Viscoelastic Flow in Tubes of Arbitrary Cross-Section Shapes." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0489.

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Abstract The axial velocity field in a tube of arbitrary cross-section geometry is determined for the case in which a viscoelastic fluid obeys a constitutive law of the multiple-integral type. The flow is linearized by means of a perturbation scheme for small amplirud oscillations of the pressure gradient. At the first order for the velocity, a solution is found for cross-section contours of a wide variaty of shapes. In this method the no-slip boundary condition is imposed in contours whose shape depends on an infinite set of arbitrary functions that can be selected according to some guiding r
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Spall, Robert, and Joshua Hodson. "Educational Results Obtained Using an Improved Two-Dimensional Panel Method Code in Undergraduate Fluid Dynamics and Aerodynamics Courses." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69031.

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Undergraduate required fluid dynamics and elective aerodynamics courses include substantial material on analysis techniques for forces acting on bodies in external flows. These methods include momentum integral analysis, and, for aerodynamic applications, lift computed using circulation and the Kutta-Joukowski theorem. The author presented in a previous FED meeting code development and preliminary classroom results for the implementation of a fully interactive, two-dimensional potential flow solver for flow over both rigid and flexible thin-airfoil (or sail) geometries. The intent of the devel
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Hoelzle, David J., Andrew G. Alleyne, and Amy J. Wagoner Johnson. "Near-Net Shape Structures Fabricated by Micro-Robotic Deposition Using Precision Extrusion Control." In ASME/ISCIE 2012 International Symposium on Flexible Automation. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/isfa2012-7240.

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This work investigates an additive manufacturing process, micro-Robotic Deposition (μRD), and its utility in fabricating advanced architecture synthetic bone grafts. The objective of this research is to develop a method to integrate different regions with different porous microstructures into a single scaffold; there is evidence that scaffolds with designed regions of specific microstructures can be used to elicit a strong and directed bone ingrowth response that improves bone ingrowth rate and quality. The key contribution of this work is integration of a control algorithm that precisely plac
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Ma, L., A. S. Kobayashi, S. N. Atluri, and P. W. Tan. "Crack Linkup at Multiple Site Damage." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0354.

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Abstract A commonly used design criterion for predicting the onset of crack link up at a multiple site damage (MSD) is when the sum of the plastic zones of two adjacent cracks is equal to the remaining ligament (Swift 1985, Broek et al 1994). The collapse load predicted by this criterion, however, will differ with the analytical plastic zone and in general, will yield a nonconservative load. Recently, Pyo et al (1997) have shown that the T* integral, which was designed for elastic-plastic fracture mechanics, can predict the extent of stable crack growth and the subsequent collapse load of wide
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Yang, Pinghai, Kang Li, and Xiaoping Qian. "Topologically Enhanced Slicing of MLS Surfaces." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29125.

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Growing use of massive scan data in various engineering applications has necessitated research on point-set surfaces. A point-set surface is a continuous surface defined directly with a set of discrete points. This paper presents a new approach that extends our earlier work on slicing point-set surfaces into planar contours for rapid prototyping usage. This extended approach can decompose a point-set surface into slices with guaranteed topology. Such topological guarantee stems from the use of Morse theory based topological analysis of the slicing operation. The Morse function for slicing is a
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Orynyak, Igor, Anatolii Batura, Andrii Oryniak, and Igor Lokhman. "Oore-Burns Function of Form Application in Numerical Treatment of Mode I Flat Crack Problem in Infinite Body." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63304.

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The general approach of numerical treatment of integro-differential equation of the flat crack problem is considered. It consists in presenting the crack surface loading as the set of the polynomial functions of two Cartesian coordinates while the corresponding crack surface displacements are chosen as the similar polynomials multiplied by the function of form (FoF) which reflects the required singularity of their behavior. To find the relations matrixes between these two sets a new effective numerical procedure for the integration over the area of arbitrary shape crack is developed. In based
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Carlos, Rodriguez, Al Naser Ethar, Alqahtani Mari, and almansour Osamah. "Applying Machine Learning Methods to Identify Reservoir Features That Highly Affect Water Encroachment Based on Transforming Unsupervised to Supervised Model." In ADIPEC. SPE, 2024. http://dx.doi.org/10.2118/222702-ms.

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Abstract Machine learning methods are increasingly applied to identify reservoir features that significantly impact water encroachment in heterogeneous oil reservoirs. This study applies machine learning to identify reservoir characteristics most responsible for rapid water encroachment, leading to an increasing water cut trend. In heterogeneous and naturally fractured reservoir, multiple sets of features contribute to higher water cut trends, governed by the areal and depth variations in rock and fluid properties. The study leverages machine learning’s capabilities to quickly detect these tre
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