Relevant bibliographies by topics / Perturbation methods

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

Academic literature on the topic 'Perturbation methods'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Perturbation methods"

1

Hinch, E. J., and Edward G. Harris. "Perturbation Methods." American Journal of Physics 60, no. 11 (1992): 1052–53. http://dx.doi.org/10.1119/1.16992.

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Heinrichs, Wilhelm. "Spectral methods for singular perturbation problems." Applications of Mathematics 39, no. 3 (1994): 161–88. http://dx.doi.org/10.21136/am.1994.134251.

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Cha, Philip D., and Austin Shin. "Perturbation Methods for the Eigencharacteristics of Symmetric and Asymmetric Systems." Shock and Vibration 2018 (October 17, 2018): 1–25. http://dx.doi.org/10.1155/2018/8609138.

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Dynamic analysis for a vibratory system typically begins with an evaluation of its eigencharacteristics. However, when design changes are introduced, the eigensolutions of the system change and thus must be recomputed. In this paper, three different methods based on the eigenvalue perturbation theory are introduced to analyze the effects of modifications without performing a potentially time-consuming and costly reanalysis. They will be referred to as the straightforward perturbation method, the incremental perturbation method, and the triple product method. In the straightforward perturbation
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Riley, N. "Perturbation methods, 1992." Journal of Fluids and Structures 6, no. 4 (1992): 523–24. http://dx.doi.org/10.1016/0889-9746(92)90029-3.

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Huang, Wei, Lei Zhang, Zizhou Wang, and Yan Wang. "GapMatch: Bridging Instance and Model Perturbations for Enhanced Semi-Supervised Medical Image Segmentation." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 16 (2025): 17458–66. https://doi.org/10.1609/aaai.v39i16.33919.

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Medical image segmentation provides detailed understanding and aids in diagnosis, treatment planning, and monitoring of diseases. Due to the high cost of acquiring labeled data in the field of medical image analysis, semi-supervised segmentation methods have garnered increasing attention. Benefiting from their simplicity and effectiveness, consistency regularization-based methods have emerged as a significant research focus by utilizing perturbations. However, existing methods typically consider perturbation strategies from only a single perspective: either instance perturbation or model pertu
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Duan, Jiale, Linyao Qiu, Guangjun He, Ling Zhao, Zhenshi Zhang, and Haifeng Li. "A Region-Adaptive Local Perturbation-Based Method for Generating Adversarial Examples in Synthetic Aperture Radar Object Detection." Remote Sensing 16, no. 6 (2024): 997. http://dx.doi.org/10.3390/rs16060997.

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In synthetic aperture radar (SAR) imaging, intelligent object detection methods are facing significant challenges in terms of model robustness and application security, which are posed by adversarial examples. The existing adversarial example generation methods for SAR object detection can be divided into two main types: global perturbation attacks and local perturbation attacks. Due to the dynamic changes and irregular spatial distribution of SAR coherent speckle backgrounds, the attack effectiveness of global perturbation attacks is significantly reduced by coherent speckle. In contrast, by
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Li, Mengyang, Fengguang Su, Ou Wu, and Ji Zhang. "Logit Perturbation." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 2 (2022): 1359–66. http://dx.doi.org/10.1609/aaai.v36i2.20024.

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Features, logits, and labels are the three primary data when a sample passes through a deep neural network. Feature perturbation and label perturbation receive increasing attention in recent years. They have been proven to be useful in various deep learning approaches. For example, (adversarial) feature perturbation can improve the robustness or even generalization capability of learned models. However, limited studies have explicitly explored for the perturbation of logit vectors. This work discusses several existing methods related to logit perturbation. Based on a unified viewpoint between
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Kuić, Domagoj, Alemka Knapp, and Diana Šaponja-Milutinović. "Finite Time Path Field Theory Perturbative Methods for Local Quantum Spin Chain Quenches." Universe 10, no. 10 (2024): 384. http://dx.doi.org/10.3390/universe10100384.

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We discuss local magnetic field quenches using perturbative methods of finite time path field theory (FTPFT) in the following spin chains: Ising and XY in a transverse magnetic field. Their common characteristics are: (i) they are integrable via mapping to a second quantized noninteracting fermion problem; and (ii) when the ground state is nondegenerate (true for finite chains except in special cases), it can be represented as a vacuum of Bogoliubov fermions. By switching on a local magnetic field perturbation at finite time, the problem becomes nonintegrable and must be approached via numeric
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Murdock, James. "Book Review: Perturbation methods." Bulletin of the American Mathematical Society 28, no. 2 (1993): 418–22. http://dx.doi.org/10.1090/s0273-0979-1993-00378-1.

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Chacon, Monique Revoredo, and Michael C. Zerner. "Perturbation-variational methods revisited." International Journal of Quantum Chemistry 47, no. 2 (1993): 103–18. http://dx.doi.org/10.1002/qua.560470202.

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Dissertations / Theses on the topic "Perturbation methods"

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Elago, David. "Robust computational methods for two-parameter singular perturbation problems." Thesis, University of the Western Cape, 2010. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_1693_1308039217.

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<p>This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov type) as well as a tted operator nite di erence method. We notice that results on Bakhvalov mesh are better than those on Shishkin mesh. However, piecewise uniform meshes provide a simpler platform for analysis and computations. Fitted operator methods are even simpler in these regards due to the ease of operating on uniform meshes. Richardson extrapolation is applied on
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Young, Caroline Jane. "Methods of geographical perturbation for disclosure control." Thesis, University of Southampton, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486433.

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Disclosure control methods are used to protect the confidentiality of individuals and households in aggregate census data. With growth in computational power, the disclosure control problem has been rapidly transformed. Increased analytical power has stimulated user demand for more detailed information for smaller geographic areas and to customized geographical boundaries. However, the possibility of allowing census users to create their own aggregates from census microdata, and for small areas, can lead to problems of disclosure by differencing. Traditionally, methods of statistical disclosur
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Munyakazi, Justin Bazimaziki. "Higher Order Numerical Methods for Singular Perturbation Problems." Thesis, Online Access, 2009. http://etd.uwc.ac.za/usrfiles/modules/etd/docs/etd_gen8Srv25Nme4_6335_1277251056.pdf.

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Kateregga, Michael. "Perturbation methods in derivatives pricing under stochastic volatility." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71708.

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Thesis (MSc)--Stellenbosch University, 2012.<br>ENGLISH ABSTRACT: This work employs perturbation techniques to price and hedge financial derivatives in a stochastic volatility framework. Fouque et al. [44] model volatility as a function of two processes operating on different time-scales. One process is responsible for the fast-fluctuating feature of volatility and corresponds to the slow time-scale and the second is for slowfluctuations or fast time-scale. The former is an Ergodic Markov process and the latter is a strong solution to a Lipschitz stochastic differential equation. This wor
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Ahmed, Samah. "Perturbation field theory methods for calculating expectation values." Thesis, University of Cape Town, 2016. http://hdl.handle.net/11427/26214.

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Tronko, Natalia. "Hamiltonian Perturbation Methods for Magnetically Confined Fusion Plasmas." Thesis, Aix-Marseille 2, 2010. http://www.theses.fr/2010AIX22088/document.

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Les effets auto-consistantes sont omniprésents dans les plasmas de fusion. Ils sont dus au fait que les équations de Maxwell qui décrivent l’évolution des champs électromagnétiques contiennent la densité de charge et de courant des particules.D’autre côté à son tour les trajectoires des particules sont influencés par les champs à travers les équations de mouvement ( où l’équation de Vlasov). Le résultat decette interaction auto-consistente se résume dans un effet cumulatif qui peut causer le déconfinement de plasma à l’intérieur d’une machine de fusion. Ce travail de thèse traite les problèmes
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Hwang, Ho-yon. "Identification methods for physical parameters in structures." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/15652.

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Pulya, Ravishankar Sandheep. "Device Modelling of Perovskite Solar Cells using Small Perturbation Methods." Doctoral thesis, Universitat Jaume I, 2019. http://hdl.handle.net/10803/667627.

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Perovskite solar cells (PSC) have emerged as an important player in the search for producing c1ean and renewable energy at high efficiencies. However, there exist several bottlenecks to maximise their efficiency and stability. This thesis explores the physical mechanisms related to these limitations in operation and provides a deeper understanding as to how to overcome them. Through systematic experiments based on the small perturbation methods of Impedance Spectroscopy (IS) and Intensity Modulated Photocurrent Spectroscopy (IMPS), the perovskite/selective contact interfaces are identified
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Fung, Jimmy Jr. "Parameter Identification of Nonlinear Systems Using Perturbation Methods and Higher-Order Statistics." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36921.

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A parametric identification procedure is proposed that combines the method of multiple scales and higher-order statistics to efficiently and accurately model nonlinear systems. A theoretical background for the method of multiple scales and higher-order statistics is given. Validation of the procedure is performed through applying it to numerical simulations of two nonlinear systems. The results show how the procedure can successfully characterize the system damping and nonlinearities and determine the corresponding parameters. The procedure is then applied to experimental measur
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Sabouri, Pouya. "Application of perturbation theory methods to nuclear data uncertainty propagation using the collision probability method." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENI071/document.

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Dans cette thèse, nous présentons une étude rigoureuse des barres d'erreurs et des sensibilités de paramètres neutroniques (tels le keff) aux données nucléaires de base utilisées pour les calculer. Notre étude commence au niveau fondamental, i.e. les fichiers de données ENDF et leurs incertitudes, fournies sous la forme de matrices de variance/covariance, et leur traitement. Lorsqu'un calcul méthodique et consistant des sensibilités est consenti, nous montrons qu'une approche déterministe utilisant des formalismes bien connus est suffisante pour propager les incertitudes des bases de données a
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Books on the topic "Perturbation methods"

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Hinch, E. J. Perturbation methods. Cambridge University Press, 1991.

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Wang, C. Y. Essential Perturbation Methods. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-26545-7.

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Holmes, Mark H. Introduction to Perturbation Methods. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-5347-1.

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Holmes, Mark H. Introduction to Perturbation Methods. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-5477-9.

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Holmes, Mark H. Introduction to Perturbation Methods. 2nd ed. Springer New York, 2013.

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Shivamoggi, Bhimsen K. Perturbation Methods for Differential Equations. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0047-5.

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1958-, Allman Mark C., ed. Modernastrodynamics: Fundamentals and perturbation methods. Princeton University Press, 1996.

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He, Ji-Huan. Perturbation methods: Basic and beyond. Elsevier, 2006.

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Luongo, Angelo, Daniele Zulli, Manuel Ferretti, and Francesco D’Annibale. Perturbation Methods and Nonlinear Phenomena. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-49397-3.

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Bensoussan, Alain. Perturbation methods in optimal control. Gauthier-Villars, 1988.

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Book chapters on the topic "Perturbation methods"

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Ginsberg, Jerry H. "Perturbation Methods." In Nonlinear Acoustics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58963-8_10.

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AbstractPerturbation methods yield approximate analytical solutions that provide physical insight into finite-amplitude sound and benchmarks for computational methods. The acoustic Mach number is employed as the small parameter for the perturbation expansions. The first method presented is the regular perturbation technique leading to a straightforward expansion of the solution in powers of the small parameter, but which is not uniformly valid. Two methods are presented for rendering the solutions uniformly valid, the method of multiple scales and the method of renormalization. Analysis of rad
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Witelski, Thomas, and Mark Bowen. "Perturbation Methods." In Methods of Mathematical Modelling. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23042-9_6.

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Kelley, Walter G., and Allan C. Peterson. "Perturbation Methods." In The Theory of Differential Equations. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-5783-2_4.

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Murdock, James. "Perturbation Methods." In Mathematical Tools for Physicists. Wiley-VCH Verlag GmbH & Co. KGaA, 2006. http://dx.doi.org/10.1002/3527607773.ch11.

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Holmes, Mark H. "Perturbation Methods." In Texts in Applied Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24261-9_2.

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Carrier, George F. "Perturbation Methods." In Handbook of Applied Mathematics. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-1423-3_14.

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Holmes, Mark H. "Perturbation Methods." In Texts in Applied Mathematics. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-87765-5_2.

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Jorba, Àngel. "Computational Methods in Perturbation Theory." In Perturbation Theory. Springer US, 2022. http://dx.doi.org/10.1007/978-1-0716-2621-4_758.

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Gentile, Guido. "Diagrammatic Methods in Classical Perturbation Theory." In Perturbation Theory. Springer US, 2009. http://dx.doi.org/10.1007/978-1-0716-2621-4_122.

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Hoppensteadt, Frank C. "Regular Perturbation Methods." In Applied Mathematical Sciences. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2275-8_5.

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Conference papers on the topic "Perturbation methods"

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Aboelnour, Mohamed, and Sebastian Engell. "Perturbation Methods for Modifier Adaptation with Quadratic Approximation." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.135520.

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Real-time optimization (RTO) is a model-based technique that drives plants to optimal operating conditions. Modifier Adaptation (MA) is a class of methods that adjusts the optimization problem using gradient information. This enables the plant to reach the optimum operating point or batch trajectory without the need of a precise model which reduces the necessary modeling efforts. However, computing the gradients of the cost function or of the plant outputs with respect to the inputs online is a challenging task. Modifier Adaptation with Quadratic Approximation (MAWQA) integrates MA with Quadra
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Lu, Yuhang, and Touradj Ebrahimi. "Improving perturbation-based explanation methods with application to face recognition." In Applications of Digital Image Processing XLVII, edited by Andrew G. Tescher and Touradj Ebrahimi. SPIE, 2024. http://dx.doi.org/10.1117/12.3030872.

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Fisher, Jillian, Skyler Hallinan, Ximing Lu, Mitchell L. Gordon, Zaid Harchaoui, and Yejin Choi. "StyleRemix: Interpretable Authorship Obfuscation via Distillation and Perturbation of Style Elements." In Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics, 2024. http://dx.doi.org/10.18653/v1/2024.emnlp-main.241.

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Salim, Saiful Islam, Rubin Yuchan Yang, Alexander Cooper, Suryashree Ray, Saumya Debray, and Sazzadur Rahaman. "Impeding LLM-assisted Cheating in Introductory Programming Assignments via Adversarial Perturbation." In Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics, 2024. http://dx.doi.org/10.18653/v1/2024.emnlp-main.27.

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De Paolis, Niccolò, and Paolo Milazzo. "Towards a New Method for Perturbation Analysis in Biochemical Pathways Based on Network Propagation." In 16th International Conference on Bioinformatics Models, Methods and Algorithms. SCITEPRESS - Science and Technology Publications, 2025. https://doi.org/10.5220/0013384200003911.

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Ghanati, Elaheh, and Miranda van Iersel. "Laguerre-Gaussian Beam Propagation through Anisotropic Turbulence: A Comparison of the Extended Huygens-Fresnel Principle and Perturbation Method." In Applications of Lasers for Sensing and Free Space Communications. Optica Publishing Group, 2024. https://doi.org/10.1364/lsc.2024.lsth1c.3.

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A Laguerre-Gaussian beam is propagated through anisotropic atmospheric turbulence using the extended-Huygens-Fresnel principle and perturbation method. The normalized intensity profile and spot size are calculated using both methods and compared.
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Li, Ze-guang, Kan Wang, and Gang-lin Yu. "Research on Monte Carlo Perturbation Calculation Methods Applied in Reactor Physics." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75584.

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In the reactor design and analysis, there is often a need to calculate the effects caused by perturbations of temperature, components and even structure of reactors on reactivity. And in sensitivity studies, uncertainty analysis of target quantities and unclear data adjustment, perturbation calculations are also widely used. To meet the need of different types of reactors (complex, multidimensional systems), Monte Carlo perturbation methods have been developed. In this paper, several kinds of perturbation methods are investigated. Specially, differential operator sampling method and correlated
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Andrienko, Yu A., M. S. Dubovikov, and A. D. Gladun. "Refraction in interferometric tomography: perturbation approach." In Analytical Methods for Optical Tomography, edited by Gennady G. Levin. SPIE, 1992. http://dx.doi.org/10.1117/12.131889.

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Wong, C. N., W. D. Zhu, and G. Y. Xu. "On an Iterative General-Order Perturbation Method for Multiple Structural Damage Detection." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33946.

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A general-order perturbation method involving multiple perturbation parameters is developed for eigenvalue problems with changes in the stiffness parameters. The perturbation solutions and eigenparameter sensitivities of all orders are derived explicitly. The perturbation method is used iteratively in conjunction with an optimization method in a robust damage detection algorithm. The generalized inverse method is used efficiently with the first order perturbations, and the gradient and quasi-Newton methods are used with the higher-order perturbations. Numerical simulations demonstrated the eff
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Kamegawa, Tomoki, Masaomi Kimura, Imam Mukhlash, and Mohammad Iqbal. "A method to generate adversarial examples based on color variety of adjacent pixels." In AHFE 2023 Hawaii Edition. AHFE International, 2023. http://dx.doi.org/10.54941/ahfe1004184.

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Deep neural networks have improved the performance of large-scale learning tasks such as image recognition and speech recognition. However, neural networks also have vulnerabilities. Adversarial examples are generated by adding perturbations to images to cause incorrect predictions of image classifiers. The well-known perturbation attack is JSMA, which is relatively fast to generate perturbation and requires only simple procedures and is widely used in cybersecurity, anomaly detection and intrusion detection. However, there are problems with the way to perturb pixels. JSMA’s perturbations are
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Reports on the topic "Perturbation methods"

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Becher, Thomas G. Continuum methods in lattice perturbation theory. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/808671.

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Foerster, Andrew, Juan Rubio-Ramírez, Daniel Waggoner, and Tao Zha. Perturbation Methods for Markov-Switching DSGE Models. National Bureau of Economic Research, 2014. http://dx.doi.org/10.3386/w20390.

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Downar, T. J. Advanced depletion perturbation methods and waste transmutation in the IFR. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/6090382.

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Clifton, Kelly, and Steven Gehrke. Wider Dissemination of Household Travel Survey Data Using Geographical Perturbation Methods. Portland State University Library, 2014. http://dx.doi.org/10.15760/trec.116.

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Fardad, Makan, and Bassam Bamieh. Perturbation Methods in Stability and Norm Analysis of Spatially Periodic Systems. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada458858.

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Downar, T. J. Advanced depletion perturbation methods and waste transmutation in the IFR. Final report. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/10105995.

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Collin, R. E. Comparative Evaluation of Kirchhoff, Perturbation, and Full Wave Methods for Rough Surface Scattering. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada271198.

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Balderson, Keith A., and Jeffrey T. Weathers. Comparison of Frequency Response and Perturbation Methods to Extract Linear Models from a Nonlinear Simulation. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada284115.

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Swanson and Kilman. L51506 Development of Improved Methods for Inspecting Gas Storage Well Downhole Casing. Pipeline Research Council International, Inc. (PRCI), 1986. http://dx.doi.org/10.55274/r0010199.

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Casing corrosion in storage wells is a matter of considerable concern to the gas storage industry. Such wells are typically flowed through the casing rather than through production tubing, to facilitate high flow capacities. When failures occur, gas leakage to surrounding formations, freshwater zones and to the surface can pose a sizable economic loss as well as a serious safety hazard. For these reasons, monitoring corrosion in down-hole casing in gas storage fields has become a major concern of many storage field operators, and the in situ detection and assessment of corrosion damage by mean
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Landwehr, Philipp, Paulius Cebatarauskas, Csaba Rosztoczy, Santeri Röpelinen, and Maddalena Zanrosso. Inverse Methods In Freeform Optics. Technische Universität Dresden, 2023. http://dx.doi.org/10.25368/2023.148.

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Traditional methods in optical design like ray tracing suffer from slow convergence and are not constructive, i.e., each minimal perturbation of input parameters might lead to “chaotic” changes in the output. However, so-called inverse methods can be helpful in designing optical systems of reflectors and lenses. The equations in R2 become ordinary differential equations, while in R3 the equations become partial differential equations. These equations are then used to transform source distributions into target distributions, where the distributions are arbitrary, though assumed to be positive a
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