Relevant bibliographies by topics / Elliptic method

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Elliptic method'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Elliptic method"

1

Yin, Zhen, Hua Li, Bang Fu Wang, and Ke Feng Song. "Study on the Design of Longitudinal-Torsional Composite Ultrasonic Elliptical Vibrator Based on FEM." Advanced Materials Research 308-310 (August 2011): 341–45. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.341.

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Based on FEM, a new type of ultrasonic elliptic vibrator design method was proposed, the ultrasonic elliptic vibration was achieved by the structural curve of the longitudinal and torsional vibrations. The impedance and vibration characteristics of the new longitudinal-torsional composite ultrasonic elliptic vibrator prototype were tested. It provides an important basis for impedance matching and longitudinal-torsional composite ultrasonic elliptical vibration application.
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Yin, Zhen, Hua Li, Zi Yang Cao, Ou Xie, and Yan Li. "Simulation and Experiment of New Longitudinal-Torsional Composite Ultrasonic Elliptical Vibrator." Advanced Materials Research 338 (September 2011): 79–83. http://dx.doi.org/10.4028/www.scientific.net/amr.338.79.

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A new ultrasonic elliptic vibrator design method was proposed, the ultrasonic elliptic vibration was achieved by the structural curve of the longitudinal and torsional vibrations. The model, harmonic and transient analyses of the new longitudinal-torsional composite ultrasonic elliptical vibrator were performed by using the software ANSYS, the prototype of the new vibrator was tested by using impedance analyzer and PSV-400 laser Doppler vibrometer, the correctness of the finite element simulation results and the feasibility of the new longitudinal-torsional composite ultrasonic elliptical vibr
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Tanaka, Naoyuki. "A New Calculation Method of Hertz Elliptical Contact Pressure." Journal of Tribology 123, no. 4 (2000): 887–89. http://dx.doi.org/10.1115/1.1352745.

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A new method for calculating elliptical Hertz contact pressure in which an elliptic integral is not necessary, has been developed. The simplest numerical integration by this method yields a Hertz contact pressure within 0.0005 percent of the theoretical spherical contact pressure. And dimensionless quantities, for calculating contact pressure, major and minor semi-axes and approach calculated by using the method agree well with those given in the references. Elliptical Hertz contact pressure can thus now be calculated by using a spreadsheet program for personal computers.
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Zhang, Qirui. "Factorization Method of the Elliptic Curve." Journal of Physics: Conference Series 2371, no. 1 (2022): 012005. http://dx.doi.org/10.1088/1742-6596/2371/1/012005.

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Abstract The elliptic curve is an important topic in number theory. In 1987, Lenstra discovered the elliptic-curve factorization method (ECM). [4] Nevertheless, until now, no research can have complete detailed codes in Wolfram Mathematica. This article will state the definition of the elliptic curve, analyze this ECM algorithm, and build a complete code s in Mathematica. Finally, completed factorization for 1820099 by experiment, which can prove that the code can complete ECM, but it may take much time to calculate.
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M., Youssef, and Baumann G. "Collocation Method to Solve Elliptic Equations Bivariate Poly-Sinc Approximation." Journal of Progressive Research in Mathematics 7, no. 3 (2016): 1079–91. https://doi.org/10.5281/zenodo.3977340.

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The paper proposes a collocation method to solve bivariate elliptic partial differential equations. The method uses Lagrange approximation based on Sinc point collocations. The proposed approximation is collocating on non-equidistant interpolation points generated by conformal maps, called Sinc points. We prove the upper bound of the error for the bivariate Lagrange approximation at these Sinc points. Then we define a collocation algorithm using this approximation to solve elliptic PDEs. We verify the Poly-Sinc technique for different elliptic equations and compare the approximate solutions wi
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Su, YuYang, BingXuan Yu, Ruixin Peng, and HongShu Yan. "Image Edge Analysis and Application Based on Least Squares Fitting Model." Highlights in Science, Engineering and Technology 9 (September 30, 2022): 298–309. http://dx.doi.org/10.54097/hset.v9i.1859.

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This paper presents an effective method to automatically segment and fit the edge contour curve data of a picture into straight line segments, circular arc segments or elliptical arc segments. Firstly, the curvature of each point is calculated, and the curvature change breakpoints are found to distinguish between straight lines, circular arcs and elliptical arcs; then, circular arc segments and elliptical arcs are distinguished by the change degree of curvature of adjacent points, and the automatic segmentation of contour edges is realized. Finally, the circular arc segment and elliptic arc se
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Dong, Changbin, Yongping Liu, and Gang Zhao. "A Method for Calculating Elliptic Gear Transmission Efficiency Based on Transmission Experiment." Strojniški vestnik – Journal of Mechanical Engineering, no. 11 (November 23, 2021): 557–69. http://dx.doi.org/10.5545/sv-jme.2021.7318.

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Transmission efficiency is an important index to evaluate the transmission performance and energy consumption of gear transmission systems. To analyse the transmission efficiency of elliptic gears, the load torque fluctuation model of elliptic gear is established to analyse the influence of load torque of an elliptic gear transmission system on the torque of input and output. The torque data of input and output under different working conditions are obtained by conducting an elliptic gear transmission test. Finally, the transmission efficiency of the elliptic gear pair is obtained through the
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Khalid, M., and K. A. Juhany. "An expression for the dynamic stability of blunt slender elliptic bodies in hypersonic flow." Aeronautical Journal 118, no. 1207 (2014): 1079–89. http://dx.doi.org/10.1017/s0001924000009751.

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AbstractDynamic stability data on axially symmetric pointed and blunt cones, parabolic profiles and other ogive and blunt cylindrical shapes is readily available in literature; the dynamic stability on elliptic blunt paraboloids has not been studied at any great lengths in the past. Both numerical and experimental results are scarce. The present paper uses the shock expansion method to obtain the unsteady pressure distribution on blunt elliptic conical bodies at small angles-of-attack. The resulting unsteady pressure distribution is suitably integrated over the surface of the elliptic body to
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ZHAO, HONG. "ANALYTICAL STUDY ON NONLINEAR DIFFERENTIAL–DIFFERENCE EQUATIONS VIA A NEW METHOD." Modern Physics Letters B 24, no. 08 (2010): 761–73. http://dx.doi.org/10.1142/s0217984910022846.

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Based on the computerized symbolic computation, a new rational expansion method using the Jacobian elliptic function was presented by means of a new general ansätz and the relations among the Jacobian elliptic functions. The results demonstrated an effective direction in terms of a uniformed construction of the new exact periodic solutions for nonlinear differential–difference equations, where two representative examples were chosen to illustrate the applications. Various periodic wave solutions, including Jacobian elliptic sine function, Jacobian elliptic cosine function and the third ellipti
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Huang, Jing Zhi, Teng Hui Guo, Jiu Bin Tan, and Tao Sun. "Dynamic Calibration for Measurement System of Form Measuring Instruments Based on Elliptical Standard." Applied Mechanics and Materials 870 (September 2017): 203–8. http://dx.doi.org/10.4028/www.scientific.net/amm.870.203.

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A dynamic calibration method based on elliptical standard was put forward to further improve the calibration repeatability of measurement system of form measuring instruments. In this method, the radius difference of the major axis to the minor axis of elliptic contour acts as the standard value to calibrate the measuring system, and a low pass filter is used to filter the roughness, electrical noise and high frequency vibration signal which mixed into measurement data, the elliptic contour feature can be obtained accurately based on the low order harmonic properties. Compared with the traditi
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Dissertations / Theses on the topic "Elliptic method"

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Savchuk, Tatyana. "The multiscale finite element method for elliptic problems." Ann Arbor, Mich. : ProQuest, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3245025.

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Thesis (Ph. D. in Applied Mathematics)--Southern Methodist University, 2007.<br>Title from PDF title page (viewed Mar. 18, 2008). Source: Dissertation Abstracts International, Volume: 67-12, Section: B, page: 7120. Adviser: Zhangxin (John) Chen. Includes bibliographical references.
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Pomponio, Alessio. "Singularity perturbed elliptic problems." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4172.

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Loubenets, Alexei. "A new finite element method for elliptic interface problems." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3908.

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<p>A finite element based numerical method for the two-dimensional elliptic interface problems is presented. Due to presence of these interfaces the problem will contain discontinuities in the coefficients and singularities in the right hand side that are represented by delta functionals along the interface. As a result, the solution to the interface problem and its derivatives may have jump discontinuities. The introduced method is specifically designed to handle this features of the solution using non-body fitted grids, i.e. the grids are not aligned with the interfaces.</p><p>The main idea
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Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0024/MQ50750.pdf.

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Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21537.

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The graph method simultaneously uses the theory of quaternion algebras, elliptic curves and modular forms in order to determine all supersingular points in a given characteristic and hence to obtain a basis of S2(N). The goal of this thesis is to expose the principles of the graph method: it is therefore divided into two main parts: First, we introduce the essentials of the arithmetic of quaternions. This part is made to fit two needs: on one hand, a good introduction or novices; on the other hand, a fast and quick reference for those who are already familiar with the subject. The second part
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Elfverson, Daniel. "Discontinuous Galerkin Multiscale Methods for Elliptic Problems." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-138960.

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In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale method (DGMM) are proposed, both based on the variational multiscale method for solving partial differential equations numerically. The solution is decoupled into a coarse and a fine scale contribution, where the fine-scale contribution is computed on patches with localized right hand side. Numerical experiments are presented where exponential decay of the error is observed when increasing the size of the patches for both CGMM and DGMM. DGMM gives much better accuracy when the same size of the
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Gu, Yaguang. "Nonlinear optimized Schwarz preconditioning for heterogeneous elliptic problems." HKBU Institutional Repository, 2019. https://repository.hkbu.edu.hk/etd_oa/637.

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In this thesis, we study problems with heterogeneities using the zeroth order optimized Schwarz preconditioning. There are three main parts in this thesis. In the first part, we propose an Optimized Restricted Additive Schwarz Preconditioned Exact Newton approach (ORASPEN) for nonlinear diffusion problems, where Robin transmission conditions are used to communicate subdomain errors. We find out that for the problems with large heterogeneities, the Robin parameter has a significant impact to the convergence behavior when subdomain boundaries cut through the discontinuities. Therefore, we perfor
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Ben, Romdhane Mohamed. "Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/39258.

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A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have been developed to solve these kinds of problems and handle the non-smooth behavior of the input data and/or the solution across the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecew
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ZANOTTI, PIETRO. "QUASI-OPTIMAL NONCONFORMING METHODS FOR SYMMETRIC ELLIPTIC PROBLEMS." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/549113.

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In this PhD thesis we characterize quasi-optimal nonconforming methods for symmetric elliptic linear variational problems and investigate their structure. The abstract analysis is complemented by various applications and numerical tests in the finite element framework. In the first part of the thesis we introduce a rather large class of nonconforming methods, mimicking the variational structure of the model problem. Then, we characterize the subclass of quasi-optimal methods in terms of suitable notions of stability and consistency. We determine also the quasi-optimality constant and obse
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Alsaedy, Ammar, and Nikolai Tarkhanov. "The method of Fischer-Riesz equations for elliptic boundary value problems." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6179/.

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We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.
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Books on the topic "Elliptic method"

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Center, Langley Research, ed. Crack-face displacements for embedded elliptic and semi-elliptical surface cracks. National Aeronautics and Space Administration, Langley Research Center, 1989.

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Center, Langley Research, ed. Crack-face displacements for embedded elliptic and semi-elliptical surface cracks. National Aeronautics and Space Administration, Langley Research Center, 1989.

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Bottasso, Carlo L. Discontinuous dual-primal mixed finite elements for elliptic problems. National Aeronautics and Space Administration, Langley Research Center, 2000.

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Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collocation method. National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1988.

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Pomp, Andreas. The Boundary-Domain Integral Method for Elliptic Systems. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0094576.

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da Veiga, Lourenço Beirão, Konstantin Lipnikov, and Gianmarco Manzini. The Mimetic Finite Difference Method for Elliptic Problems. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02663-3.

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Pomp, Andreas. The boundary-domain integral method for elliptic systems. Springer, 1998.

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A, Povinelli Louis, and United States. National Aeronautics and Space Administration., eds. Optimal least-squares finite element method for elliptic problems. National Aeronautics and Space Administration, 1991.

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A, Povinelli Louis, and United States. National Aeronautics and Space Administration., eds. Optimal least-squares finite element method for elliptic problems. National Aeronautics and Space Administration, 1991.

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A, Povinelli Louis, and United States. National Aeronautics and Space Administration., eds. Optimal least-squares finite element method for elliptic problems. National Aeronautics and Space Administration, 1991.

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Book chapters on the topic "Elliptic method"

1

Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Geometric Method." In Heat Kernels for Elliptic and Sub-elliptic Operators. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_3.

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Hackbusch, Wolfgang. "The Finite-Element Method." In Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_8.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Fourier Transform Method." In Heat Kernels for Elliptic and Sub-elliptic Operators. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_5.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Eigenfunction Expansion Method." In Heat Kernels for Elliptic and Sub-elliptic Operators. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_6.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Stochastic Analysis Method." In Heat Kernels for Elliptic and Sub-elliptic Operators. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_8.

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Hackbusch, Wolfgang. "The Method of Finite Elements." In Elliptic Differential Equations. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8_8.

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Dolejší, Vít, and Miloslav Feistauer. "DGM for Elliptic Problems." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_2.

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Kuzin, I., and S. Pohozaev. "Classical Variational Method." In Entire Solutions of Semilinear Elliptic Equations. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-9250-6_2.

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Zimmermann, Paul. "Elliptic Curve Method for Factoring." In Encyclopedia of Cryptography and Security. Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-5906-5_401.

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Zimmermann, Paul. "Elliptic Curve Method for Factoring." In Encyclopedia of Cryptography, Security and Privacy. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-030-71522-9_401.

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Conference papers on the topic "Elliptic method"

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Chang, Kung-Ching. "Heat method in nonlinear elliptic equations." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0007.

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Zhang, Ning, and Xiaotong Fu. "Ternary Method in Elliptic Curve Scalar Multiplication." In 2013 International Conference on Intelligent Networking and Collaborative Systems (INCoS). IEEE, 2013. http://dx.doi.org/10.1109/incos.2013.93.

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Lin, Danyan, Gang Wang, and Ding Wang. "Penalized Semidefinite Programming Method for Elliptic Localization." In 2022 5th International Conference on Information Communication and Signal Processing (ICICSP). IEEE, 2022. http://dx.doi.org/10.1109/icicsp55539.2022.10050583.

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Mazzarella, Giuseppe, Giorgio Montisci, and Alessandro Fanti. "Method-of-Moment Analysis of Slender Elliptic Slots." In 2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems (COMCAS). IEEE, 2019. http://dx.doi.org/10.1109/comcas44984.2019.8958409.

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Sun, Jiahui, Shichun Pang, and Mingjuan Ma. "Mixed finite volume method for elliptic equations problems." In 2016 International Conference on Advances in Energy, Environment and Chemical Science. Atlantis Press, 2016. http://dx.doi.org/10.2991/aeecs-16.2016.24.

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WARFIELD, M. "A zonal equation method for parabolic-elliptic flows." In 24th Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 1986. http://dx.doi.org/10.2514/6.1986-153.

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Zhu, Xiaosong, Xuanhong Liang, Yunhao Qiu, and Youyuan Wang. "A Novel Meshless Element Method for Elliptic Equation." In 2022 IEEE 5th International Conference on Electronics Technology (ICET). IEEE, 2022. http://dx.doi.org/10.1109/icet55676.2022.9824816.

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Černá, Dana, Václav Finek, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Adaptive Wavelet Method for Fourth-Order Elliptic Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637940.

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Savaşaneril, Nurcan Baykuş. "A New Method for Elliptic Partial Differential Equations." In 7th International Students Science Congress. Izmir International guest Students Association, 2023. http://dx.doi.org/10.52460/issc.2023.030.

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The study proposes a matrix method based on collocation points and Taylor polynomials for approximating the solution of elliptic partial differential equations. This method reduces the problem to solving a matrix equation with unknown Taylor coefficients, which are determined using the collocation points. The solution is then expressed in terms of Taylor polynomials. The technique is illustrated using a descriptive example, and the results are compared with a table and figure. The numerical calculations are performed using a program written in WOLFRAM MATHEMATICA 13.0.
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Ma, Jinlin, Kai Zhu, Ziping Ma, Meng Wei, and Li Shi. "Elliptic Feature Recognition and Positioning Method for Disc Parts." In 2019 14th International Conference on Computer Science & Education (ICCSE). IEEE, 2019. http://dx.doi.org/10.1109/iccse.2019.8845486.

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Reports on the topic "Elliptic method"

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Ferretta, T. A parallel multigrid method for solving elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/7055158.

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Manzini, Gianmarco. Annotations on the virtual element method for second-order elliptic problems. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1338710.

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Glover, Joseph. Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method,. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada171939.

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Manzini, Gianmarco. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1046508.

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Sharan, M., E. J. Kansa, and S. Gupta. Application of multiquadric method for numerical solution of elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10156506.

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Gianmarco, Manzini, Droniou Jérôme, and Yemm Liam. The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. Office of Scientific and Technical Information (OSTI), 2024. http://dx.doi.org/10.2172/2377294.

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Manke, J. A tensor product b-spline method for 3D multi-block elliptic grid generation. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/5536897.

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Hu, Xin, Guang Lin, Thomas Y. Hou, and Pengchong Yan. An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDE with Random Coefficients. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada560090.

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Ito, K., M. Kroller, and K. Kunisch. A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada208658.

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Werner, L., and F. Odeh. Numerical Methods for Stiff Ordinary and Elliptic Partial Differential Equations. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada153247.

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