Relevant bibliographies by topics / Expansion Magnus

Contents

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

Academic literature on the topic 'Expansion Magnus'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Expansion Magnus"

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Duzhin, S. V. "Conway polynomial and Magnus expansion." St. Petersburg Mathematical Journal 23, no. 3 (2012): 541–50. http://dx.doi.org/10.1090/s1061-0022-2012-01207-0.

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Al-Kaabi, Mahdi Jasim Hasan. "On Pre-Lie Magnus Expansion." Al-Nahrain Journal of Science 00, no. 2 (2019): 101–12. http://dx.doi.org/10.22401/anjs.00.2.15.

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Fernández, Francisco M. "Convergence of the Magnus expansion." Physical Review A 41, no. 5 (1990): 2311–14. http://dx.doi.org/10.1103/physreva.41.2311.

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Lipfert, Tobias, Dmitri Horoshko, Giuseppe Patera, and Mikhail Kolobov. "Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pump: role of the gain." EPJ Web of Conferences 198 (2019): 00006. http://dx.doi.org/10.1051/epjconf/201919800006.

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We consider the effect of different orders of Magnus expansion for the field transformation in type-I parametric down-conversion with a monochromatic pump. The exact solution, existing in this case, allows us to analyze the convergence of the Magnus expansion for the spectrum of squeezing and the angle of squeezing. We demonstrate how the convergence of the Magnus series depends on the parametric gain for various values of the phase mismatch. For each phase-mismatch angle we find the gain, which is the exact upper bound for the convergence of the Magnus series.
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Wang, Xiaoling, Xiaofei Guan, and Pei Yin. "A New Explicit Magnus Expansion for Nonlinear Stochastic Differential Equations." Mathematics 8, no. 2 (2020): 183. http://dx.doi.org/10.3390/math8020183.

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In this paper, based on the iterative technique, a new explicit Magnus expansion is proposed for the nonlinear stochastic equation d y = A ( t , y ) y d t + B ( t , y ) y ∘ d W . One of the most important features of the explicit Magnus method is that it can preserve the positivity of the solution for the above stochastic differential equation. We study the explicit Magnus method in which the drift term only satisfies the one-sided Lipschitz condition, and discuss the numerical truncated algorithms. Numerical simulation results are also given to support the theoretical predictions.
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Blanes, S., F. Casas, J. A. Oteo, and J. Ros. "A pedagogical approach to the Magnus expansion." European Journal of Physics 31, no. 4 (2010): 907–18. http://dx.doi.org/10.1088/0143-0807/31/4/020.

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Oteo, J. A., and J. Ros. "The Magnus expansion for classical Hamiltonian systems." Journal of Physics A: Mathematical and General 24, no. 24 (1991): 5751–62. http://dx.doi.org/10.1088/0305-4470/24/24/011.

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Oteo, J. A., and J. Ros. "From time-ordered products to Magnus expansion." Journal of Mathematical Physics 41, no. 5 (2000): 3268–77. http://dx.doi.org/10.1063/1.533304.

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Curry, Charles, Kurusch Ebrahimi-Fard, and Brynjulf Owren. "The Magnus expansion and post-Lie algebras." Mathematics of Computation 89, no. 326 (2020): 2785–99. http://dx.doi.org/10.1090/mcom/3541.

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Wang, Zhenyu, Qiang Ma, Zhen Yao, and Xiaohua Ding. "The Magnus Expansion for Stochastic Differential Equations." Journal of Nonlinear Science 30, no. 1 (2019): 419–47. http://dx.doi.org/10.1007/s00332-019-09578-9.

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Dissertations / Theses on the topic "Expansion Magnus"

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Rexin, Tobias [Verfasser], and Michael [Akademischer Betreuer] Thorwart. "An effective theory of driven high Tc superconductors via an alternative Magnus expansion approach / Tobias Rexin ; Betreuer: Michael Thorwart." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://d-nb.info/1190285770/34.

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Kopylov, Nikita. "Magnus-based geometric integrators for dynamical systems with time-dependent potentials." Doctoral thesis, Universitat Politècnica de València, 2019. http://hdl.handle.net/10251/118798.

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[ES] Esta tesis trata sobre la integración numérica de sistemas hamiltonianos con potenciales explícitamente dependientes del tiempo. Los problemas de este tipo son comunes en la física matemática, porque provienen de la mecánica cuántica, clásica y celestial. La meta de la tesis es construir integradores para unos problemas relevantes no autónomos: la ecuación de Schrödinger, que es el fundamento de la mecánica cuántica; las ecuaciones de Hill y de onda, que describen sistemas oscilatorios; el problema de Kepler con la masa variante en el tiempo. El Capítulo 1 describe la motivación y los o
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Al-Kaabi, Mahdi Jasim Hasan. "Bases de monômes dans les algèbres pré-Lie libres et applications." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22599/document.

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Dans cette thèse, nous étudions le concept d’algèbre pré-Lie libre engendrée par un ensemble (non-vide). Nous rappelons la construction par A. Agrachev et R. Gamkrelidze des bases de monômes dans les algèbres pré-Lie libres. Nous décrivons la matrice des vecteurs d’une base de monômes en termes de la base d’arbres enracinés exposée par F. Chapoton et M. Livernet. Nous montrons que cette matrice est unipotente et trouvons une expression explicite pour les coefficients de cette matrice, en adaptant une procédure suggérée par K. Ebrahimi-Fard et D. Manchon pour l’algèbre magmatique libre. Nous co
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Melocro, Letícia. "Uma ordenação para o grupo de tranças puras." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11012017-142019/.

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Neste trabalho apresentamos uma descrição geométrica do grupo de tranças no disco Bpnq e sua apresentação em termos de geradores e relatores no famoso teorema da apresentação de Artin. Mostraremos também que o grupo de tranças puras PBpnq, grupo que possui a permutação trivial das cordas, é bi-ordenável, ou seja, exibiremos uma ordenação para PBpnq que será invariante pela multiplicação em ambos os lados. Esse processo é dado a partir da combinação da técnica de pentear Artin e a expansão Magnus para grupos livres.<br>In this work, we present a geometric description of the braids groups of the
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Lipfert, Tobias. "Ordering effects in quantum optics." Thesis, Lille 1, 2019. http://www.theses.fr/2019LIL1R007/document.

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En optique quantique, la nature quantique de la lumière se manifeste dans des effets d’ordonnement d’opérateurs, inexistants en optique classique. Cette thèse est consacrée à une étude détaillée de ce type d’effets d’ordonnement dus à la dynamique des systèmes physiques. Nous considérons deux systèmes en particulier, 1) la conversion paramétrique descendante dans un milieu χ (2), et 2) un ion dans un piège de Paul entraı̂né par un champ classique; décrit par un modèle de Jaynes-Cummings non linéaire. Les effets d’ordonnement dans ces systèmes dynamiques sont étudiés via le développement et l’a
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Bader, Philipp Karl-Heinz. "Geometric Integrators for Schrödinger Equations." Doctoral thesis, Universitat Politècnica de València, 2014. http://hdl.handle.net/10251/38716.

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The celebrated Schrödinger equation is the key to understanding the dynamics of quantum mechanical particles and comes in a variety of forms. Its numerical solution poses numerous challenges, some of which are addressed in this work. Arguably the most important problem in quantum mechanics is the so-called harmonic oscillator due to its good approximation properties for trapping potentials. In Chapter 2, an algebraic correspondence-technique is introduced and applied to construct efficient splitting algorithms, based solely on fast Fourier transforms, which solve quadratic potentials in
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Kaur, Amandeep. "Analytic and numerical aspects of isospectral flows." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/270631.

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In this thesis we address the analytic and numerical aspects of isospectral flows. Such flows occur in mathematical physics and numerical linear algebra. Their main structural feature is to retain the eigenvalues in the solution space. We explore the solution of Isospectral flows and their stochastic counterpart using explicit generalisation of Magnus expansion. \par In the first part of the thesis we expand the solution of Bloch--Iserles equations, the matrix ordinary differential system of the form $ X'=[N,X^{2}],\ \ t\geq0, \ \ X(0)=X_0\in \textrm{Sym}(n),\ N\in \mathfrak{so}(n), $ where $\
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Haverty, Maureen. "The microstructure, texture and thermal expansion of nuclear graphite." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/the-microstructure-texture-and-thermal-expansion-of-nuclear-graphite(5fef7053-d4ca-42b8-a203-d5b2e6d5bedc).html.

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It is proposed to continue operating the graphite moderated Advanced Gas-cooled Reactor (AGR) fleet past its design life. Nuclear graphite's properties change in reactor and our limited mechanistic understanding of the relationship between graphite structure, across different lengthscales, and its properties limits our ability to predict its future behaviour. An improved understanding of the relationship between graphite's structural features, the relationship between features across different lengthscales and their effect on material properties would all contribute to a mechanistic understand
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Joshi, Darshan Gajanan. "Magnetic quantum phase transitions: 1/d expansion, bond-operator theory, and coupled-dimer magnets." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-198634.

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In the study of strongly interacting condensed-matter systems controlled microscopic theories hold a key position. Spin-wave theory, large-N expansion, and $epsilon$-expansion are some of the few successful cornerstones. In this doctoral thesis work, we have developed a novel large-$d$ expansion method, $d$ being the spatial dimension, to study model Hamiltonians hosting a quantum phase transition between a paramagnet and a magnetically ordered phase. A highlight of this technique is that it can consistently describe the entire phase diagram of the above mentioned models, including the quantum
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Hacker, Paul John. "A study of the coefficient of thermal expansion of nuclear graphites." Thesis, University of Bath, 2001. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341579.

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Books on the topic "Expansion Magnus"

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Rajeev, S. G. Geometric Integrators. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0015.

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Generic methods for solving ordinary differential equations (ODEs, e.g., Runge-Kutta) can break the symmetries that a particular equation might have. Lie theory can be used to get Geometric Integrators that respect these symmetries. Extending thesemethods to Euler and Navier-Stokes is an outstanding research problem in fluid mechanics. Therefore, a short review of geometric integrators for ODEs is given in this last chapter. Exponential coordinates on a Lie group are explained; the formula for differentiating a matrix exponential is given and used to derive the first few terms of the Magnus ex
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Book chapters on the topic "Expansion Magnus"

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Dinh, Khanh, and Roger Sidje. "A Comparison of the Magnus Expansion and Other Solvers for the Chemical Master Equation with Variable Rates." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99719-3_24.

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Blanes, Sergio, Fernando Casas, José-Angel Oteo, and José Ros. "Fer and Magnus Expansions." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_114.

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Clay, W., J. Cox, and R. Thome. "Design of a Thermal Expansion Joint for the SSC Magnet Leads." In Supercollider 3. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3746-5_96.

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Shutt, R. P., and M. L. Rehak. "Stability of Bellows Used as Expansion Joints Between Superconducting Magnets in Accelerators." In Supercollider 3. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3746-5_98.

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Takayasu, Masakazu, Toshihisa Nishizawa, and Jun Yoshida. "Simple Expansive Suboccipital Cranioplasty Following Foramen Magnum Decompression for the Treatment of Syringomyelia Associated with Chiari I Malformation." In Syringomyelia. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67893-9_19.

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Sindou, M., and E. Gimbert. "Decompression for Chiari type I-malformation (with or without syringomyelia) by extreme lateral foramen magnum opening and expansile duraplasty with arachnoid preservation: comparison with other technical modalities (Literature review)." In Advances and Technical Standards in Neurosurgery. Springer Vienna, 2009. http://dx.doi.org/10.1007/978-3-211-78741-0_4.

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Sethna, James P. "Calculation and computation." In Statistical Mechanics: Entropy, Order Parameters, and Complexity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.003.0008.

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This chapter introduces Monte-Carlo techniques to simulate the equilibrium properties of complex systems, and perturbative techniques to calculate their behavior as an expansion about solvable limits. It uses the Ising model as a description of magnets, of binary alloys, and of the liquid-gas transition. It introduces Markov chains and detailed balance as providing a guarantee that Monte-Carlo methods converge to equilibrium. To analyze phases and phase transitions, it introduces a 27-term low-temperature expansion for the magnetization of the Ising model. Inside phases, perturbation theory converges; at phase transitions, it cannot. Exercises simulate the behavior of the Ising model and cellular function. They explore equilibration algorithms and calculation of low temperature expansions. And they apply Markov chains to coin flips, unicycles, fruit flies, chemical reaction rates, and DNA replication.
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Sen, Subhasis. "Explaining the Earth System: An Approach Based on Earth Expansion Theory." In Modern Advances in Geography, Environment and Earth Sciences Vol. 6. Book Publisher International (a part of SCIENCEDOMAIN International), 2021. http://dx.doi.org/10.9734/bpi/magees/v6/1882c.

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Himmelweit, Samuel Mohun, and Sung-Hee Lee. "Work–family policy expansion and the idea of social investment: the cases of Germany, England, South Korea and Japan." In Welfare Reform and Social Investment Policy. Policy Press, 2021. http://dx.doi.org/10.1332/policypress/9781447352730.003.0002.

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This chapter examines variation in the trend of work–family policy expansion, by exploring the reforms in four latecomer countries: Germany, England, South Korea and Japan. It argues that the different extents of expansion observed in the four countries can be explained by how much each country realised the potential of social investment as a polysemic international idea. The chapter then reviews the literature on discourse and ideas, with a particular focus on the concept of social investment. It concentrates on the main theoretical concepts of polysemy and ideas as coalition magnets. Ultimately, the chapter analyzes the use of social investment discourse in each of the cases and relates it back to the discussion of polysemy and coalition magnets; it focuses on the ways in which policy-makers defined the relevant policy problems and policy goals of work–family policy expansion.
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Taber, Douglass F. "C–N Ring Construction: The Hattori Synthesis of (+)-Spectaline." In Organic Synthesis. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190646165.003.0056.

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Magnus Rueping of RWTH Aachen University found (Chem. Commun. 2015, 51, 2111) that under Fe catalysis, a Grignard reagent would couple with the iodoazetidine 1 to give the substituted azetidine 2. Timothy F. Jamison of MIT established (Chem. Eur. J. 2015, 21, 7379) a protocol for converting 3, readily available from commercial homoserine lactone, to the alkylated azetidine 4. Long-Wu Ye of Xiamen University used (Chem. Commun. 2015, 51, 2126) a gold catalyst to cyclize 5, readily prepared in high ee, to the versatile ene sulfonamide 6. Chang- Hua Ding and Xue-Long Hou of the Shanghai Institute of Organic Chemistry added (Angew. Chem. Int. Ed. 2015, 54, 1604) the racemic aziridine 7 to the enone 8 to give the pyrrolidine 9 in high ee. Arumugam Sudalai of the National Chemical Laboratory employed (J. Org. Chem. 2015, 80, 2024) proline as an organocatalyst to mediate the addition of 11 to 10, leading to the pyrrolidine 12. Aaron D. Sadow of Iowa State University developed (J. Am. Chem. Soc. 2015, 137, 425) a Zr catalyst for the enantioselective cyclization of the prochiral 13 to 14. Masahiro Murakami of Kyoto University devised (Angew. Chem. Int. Ed. 2015, 54, 7418) a Rh catalyst for the enantioselective ring expansion of the photocycliza­tion product of 15 to the enamine 16. Sebastian Stecko and Bartlomiej Furman of the Polish Academy of Sciences reduced (J. Org. Chem. 2015, 80, 3621) the carbohydrate-derived lactam 17 with the Schwartz reagent to give an intermediate that could be coupled with an isonitrile, leading to the amide 18. Lei Liu of Shandong University oxidized (Angew. Chem. Int. Ed. 2015, 54, 6012) the alkene 19 in the presence of 20 to give 21. Tomislav Rovis of Colorado State University optimized (J. Am. Chem. Soc. 2015, 137, 4445) a Zn catalyst for the addition of 22 to the nitro alkene 23, leading, after reduction, to the piperidine 24. Carlos del Pozo and Santos Fustero of the Universidad de Valencia used (Org. Lett. 2015, 17, 960) a chiral auxiliary to direct the cyclization of 25 to the bicyclic amine 26. In another illustration of the use of microwave irradiation to activate amide bond rotation, G. Maayan of Technion showed (Org. Lett. 2015, 17, 2110) that 27 could be cyclized efficiently to the medium ring lactam 28.
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Conference papers on the topic "Expansion Magnus"

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Takács, Árpád, Eric A. Butcher, and Tamás Insperger. "The Magnus Expansion for Periodic Delay Differential Equations." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12304.

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In this paper, the application of the Magnus expansion on periodic time-delayed differential equations is proposed, where an approximation technique of Chebyshev Spectral Continuous Time Approximation (CSCTA) is first used to convert a system of delayed differential equations (DDEs) into a system of ordinary differential equations (ODEs), whose solution are then obtained via the Magnus expansion. The stability and time response of this approach are investigated on two examples and compared with known results in the literature.
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Morris, T. D., and S. K. Bogner. "The Magnus expansion and the in-medium similarity renormalization group." In LIGHT AND ITS INTERACTIONS WITH MATTER. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4899225.

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Orekhov, Andrew L., and Nabil Simaan. "Solving Cosserat Rod Models via Collocation and the Magnus Expansion." In 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2020. http://dx.doi.org/10.1109/iros45743.2020.9340827.

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Reimer, M., and D. Yevick. "Application of the Magnus expansion to polarization mode dispersion and polarization dependent loss." In OFCNFOEC 2006. 2006 Optical Fiber Communication Conference and the National Fiber Optic Engineers Conference. IEEE, 2006. http://dx.doi.org/10.1109/ofc.2006.215524.

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Köme, Sure, Mehmet Tarık Atay, Aytekin Eryilmaz, and Cahit Köme. "Magnus expansion method for solving singularly perturbed turning point problems having boundary layers." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912576.

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Köme, Cahit, Mehmet Tarık Atay, Aytekin Eryilmaz, and Sure Köme. "Numerical solutions of linear and nonlinear Lane-Emden type equations by using magnus expansion method." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912575.

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Hwang, Sangmoon, and Dennis K. Lieu. "Characterization and Reduction of Reluctance Torque in Permanent Magnet D.C. Motors." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0237.

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Abstract For motors with low speeds and loads, torque pulsation by the reluctance torque is an important source of vibration and control difficulty. In this paper, the magnetic field of a motor is calculated by finite element method and the periodic reluctance torque is determined using Maxwell stress method and time stepping method, and then decomposed using Fourier series expansion. The purpose of this paper is to characterize design parameters on the reluctance torque and to design a permanent magnet motor with a reluctance torque less vulnerable to vibration, without sacrificing the motor
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Linardopoulos, Georgios. "Large-spin Expansions of Giant Magnons." In Proceedings of the Corfu Summer Institute 2014. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.231.0154.

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Hattori, Toshio, and Masaaki Iwasa. "Fatigue Strength of Metal / FRP Adhesive Joints Under Low Temperature." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0139.

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Abstract Fiber reinforced plastics (FRP) have the excellent thermal isolation characteristics, and are used for for cryogenic structures such as super conducting magnets. Generally these FRP materials are connected with metal structures using adhesive joint, as these FRP materials loose strength by the existence of bolt holes. In this metal/FRP adhesive joints high thermal residual stresses occur under cryogenic temperatures as the thermal expansion coefficients of both materials differ large. So, improvement of strength evaluation method of these bi-material adhesive joints under low temperat
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Wang, Shuai, Minxiang Chen, Min Jiang, Hui Yuan, Hua Yu, and Jinsong Li. "Research on Speed Expansion Capability of Hybrid Permanent Magnet Synchronous Motor." In 2019 IEEE 3rd Conference on Energy Internet and Energy System Integration (EI2). IEEE, 2019. http://dx.doi.org/10.1109/ei247390.2019.9062204.

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Reports on the topic "Expansion Magnus"

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Katayama, T. Multipole Field Expansion of Helical Magnet. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/1149821.

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Gardner C. J. Three-Dimensional Field Expansions in Magnets:� A Primer. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/1157231.

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