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Livres sur le sujet « Symmetry of solution »

Auteur : Grafiati

Publié le 9 mars 2023

Mis à jour le 10 mars 2023

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1

Stephani, Hans. Differential equations : Their solution using symmetries. Cambridge [England] : Cambridge University Press, 1989.

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2

Gunzburger, Max D. On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations. [Washington, D.C : National Aeronautics and Space Administration, 1986.

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3

1943-, Bluman George W., dir. Symmetry and integration methods for differential equations. New York : Springer, 2002.

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4

Fiedler, Bernold. Global Bifurcation of Periodic Solutions with Symmetry. Berlin, Heidelberg : Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082943.

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5

Fiedler, Bernold. Global bifurcation of periodic solutions with symmetry. Berlin : Springer-Verlag, 1988.

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6

Hydon, Peter E. Symmetry methods for differential equations : A beginner's guide. New York : Cambridge University Press, 2000.

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7

Gerd, Baumann. Symmetry analysis of differential equations with Mathematica. New York : Springer/Telos, 1998.

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8

Thurston, Gaylen A. A parallel solution for the symmetric eigenproblem. Hampton, Va : National Aeronautics and Space Administration, Langley Research Center, 1987.

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9

Polynomial based iteration methods for symmetric linear systems. Chichester : Wiley, 1996.

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10

Bernd, Fischer. Polynomial based iteration methods for symmetric linear systems. Philadelphia : Society for Industrial and Applied Mathematics, 2011.

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11

Fushchich, W. I., W. M. Shtelen et N. I. Serov. Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics. Dordrecht : Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-3198-0.

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12

Fushchich, V. I. Symmetry analysis and exact solutions of equations of nonlinear mathematical physics. Dordrecht : Kluwer, 1993.

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13

Fushchich, W. I. Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics. Dordrecht : Springer Netherlands, 1993.

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14

Fushchich, Vilʹgelʹm Ilʹich. Symmetry analysis and exact solutions of equations of nonlinear mathematical physics. Dordrecht : Kluwer Academic Publishers, 1993.

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15

Wu-Ki, Tung, dir. W. K. Tung Group theory in physics : Problems and solutions. Singapore : World Scientific, 1991.

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16

Dellnitz, Michael. Hopf-Verzweigung in Systemen mit Symmetrie und deren numerische Behandlung. Ammersbek bei Hamburg : Verlag an der Lottbek, 1989.

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17

Chronopoulos, Anthony. s-step iterative methods for symmetric linear systems. Urbana, IL (1304 W. Springfield Ave., Urbana 61801) : Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1987.

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18

Thurston, Gaylen A. Solution ofthe symmetric Eigenproblem AX=(Lambda)BX by delayed division. Hampton, Va : Langley Research Center, 1986.

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19

Freund, Roland W. Recent advances in Lanczos-based iterative methods for non symmetric linear systems. [Moffett Field, Calif.] : Research Institute for Advanced Computer Science, NASA Ames Research Center, 1992.

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20

M, Vinogradov A., Krasilʹshchik I. S et Institut diffeotopii (Akademii͡a︡ estestvennykh nauk Rossiĭskoĭ Federat͡s︡ii), dir. Simmetrii i zakony sokhranenii͡a︡ uravneniĭ matematicheskoĭ fiziki. Moskva : "Faktorial", 1997.

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21

M, Vinogradov A., dir. Symmetries of partial differential equations : Conservation laws, applications, algorithms. Dordrecht : Kluwer Academic Publishers, 1989.

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22

V, Bocharov A., Krasilʹshchik I. S et Vinogradov A. M, dir. Symmetries and conservation laws for differential equations of mathematical physics. Providence, R.I : American Mathematical Society, 1999.

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23

C, Bains Nancy J., et United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, dir. Solution of the symmetric eigenproblem AX=[lambda]BX by delayed division. Washington, DC : National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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24

Fushchich, Vilʹgelʹm Ilʹich. Simmetriĭnyĭ analiz i tochnye reshenii͡a︡ nelineĭnykh uravneniĭ matematicheskoĭ fiziki. Kiev : Nauk. dumka, 1989.

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25

Duff, Iain S. A new code for the solution od sparse symmetric definite and indefinite systems. Chilton : Rutherford Appleton Laboratory, 2002.

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26

Collins, J. D. A combined finite element-boundary element formulation for solution of axially symmetric bodies. Ann Arbor, Mich : University of Michigan, Radiation Laboratory, Dept. of Electrical Engineering and Computer Science, 1991.

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27

M, Lakshmanan, et Daniel M. 1955-, dir. Symmetries and singularity structures : Integrability and chaos in nonlinear dynamical systems : proceedings of the workshop, Bharatidasan University, Tiruchirapalli, India, November 29-December 2, 1989. Berlin : Springer-Verlag, 1990.

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28

Zajączkowski, Wojciech M. Global special regular solutions to the Navier-Stokes equations in axially symmetric domains under boundary slip conditions. Warszawa : Institute of Mathematics, Polish Academy of Sciences, 2005.

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29

Hannaby, Simon. The solution of ordinary differential equations arising from stress transfer mechanics of general symmetric laminates. Teddington : National Physical Laboratory, 1997.

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30

Pavlov, Sergey. Methods of catastrophe theory in the phenomenology of phase transitions. ru : INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1004276.

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The monograph is devoted to describing the methods of catastrophe theory and building on the basis of these methods, phenomenological models of phase transitions in solids. Methods of constructing structurally stable normal forms of functions, including functions that are imposed on the symmetry conditions. The classification of phenomenological models of phase transitions for two interacting one-component order parameter, two-component and three-component order parameters the number of control parameters varied in the experiment. Theoretical dependence of the anomalies of the physical properties of the models are compared with experimental data in ferroelectrics, magnetic materials, solid solutions of rare earth metals, multiferroics and other solids that are experiencing phase transitions. For professionals in the field of solid state physics and phase transitions.

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31

Scandrett, Clyde. Comparison of several iterative techniques in the solution of symmetric banded equations on a two-pipe Cyber 205. Monterey, Calif : Naval Postgraduate School, 1988.

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32

1980-, Blazquez-Sanz David, Morales Ruiz, Juan J. (Juan José), 1953- et Lombardero Jesus Rodriguez 1961-, dir. Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Escuela de Matematicas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, R.I : American Mathematical Society, 2011.

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33

Stephani, Hans. Differential Equations : Their Solution Using Symmetries. Cambridge University Press, 1990.

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34

Stephani, Hans. Differential Equations : Their Solution Using Symmetries. Cambridge University Press, 1990.

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35

MacCallum, Malcolm, et Hans Stephani. Differential Equations : Their Solution Using Symmetries. Cambridge University Press, 2011.

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36

Iliopoulos, John. Spontaneously Broken Symmetries. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198805175.003.0005.

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In this chapter we present the solution to the problem of mass. It is based on the phenomenon of spontaneous symmetry breaking (SSB). We first give the example of buckling, a typical example of spontaneous symmetry breaking in classical physics. We extract the main features of the phenomenon, namely the instability of the symmetric state and the degeneracy of the ground state. The associated concepts of the critical point and the order parameter are deduced. A more technical exposition is given in a separate section. Then we move to a quantum physics example, that of the Heisenberg ferromagnet. We formulate Goldstone’s theorem which associates a massless particle, the Goldstone boson, to the phenomenon of spontaneous symmetry breaking. In the last section we present the mechanism of Brout–Englert–Higgs (BEH). We show that spontaneous symmetry breaking in the presence of gauge interactions makes it possible for particles to become massive. The remnant of the mechanism is the appearance of a physical particle, the BEH boson, which we identify with the particle discovered at CERN.

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37

Cantwell, Brian J. Introduction to Symmetry Analysis. Cambridge University Press, 2002.

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38

Cantwell, Brian J. Introduction to Symmetry Analysis. Cambridge University Press, 2002.

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39

Cantwell, Brian J. Introduction to Symmetry Analysis. Cambridge University Press, 2009.

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40

Steigmann, David J. Some boundary-value problems for uniform isotropic incompressible materials. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198567783.003.0007.

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This chapter outlines the formulation and explicit solution of a number of simple boundary-value problems. Analysis is facilitated by the constraint of incompressibility. Examples include expansionand contraction of cylinders, torsion, azimuthal shear, and cavitation under conditions of spherical symmetry Further examples involving anti-plane shear are discussed in the Problems.

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41

Mercati, Flavio. Shape Dynamics and the Linking Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0012.

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This chapter explains in detail the current Hamiltonian formulation of SD, and the concept of Linking Theory of which (GR) and SD are two complementary gauge-fixings. The physical degrees of freedom of SD are identified, the simple way in which it solves the problem of time and the problem of observables in quantum gravity are explained, and the solution to the problem of constructing a spacetime slab from a solution of SD (and the related definition of physical rods and clocks) is described. Furthermore, the canonical way of coupling matter to SD is introduced, together with the operational definition of four-dimensional line element as an effective background for matter fields. The chapter concludes with two ‘structural’ results obtained in the attempt of finding a construction principle for SD: the concept of ‘symmetry doubling’, related to the BRST formulation of the theory, and the idea of ‘conformogeometrodynamics regained’, that is, to derive the theory as the unique one in the extended phase space of GR that realizes the symmetry doubling idea.

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42

Introduction to Symmetry Analysis (With CD-ROM). Cambridge University Press, 2002.

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43

Cantwell, Brian J. Introduction to Symmetry Analysis (With CD-ROM). Cambridge University Press, 2002.

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44

Symmetry And Separation Of Variables. Cambridge University Press, 2011.

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45

Fiedler, Bernold. Global Bifurcation of Periodic Solutions with Symmetry. Springer London, Limited, 2006.

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46

Global Bifurcation of Periodic Solutions with Symmetry. Springer Berlin Heidelberg, 1988.

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47

Miller, Willard. Symmetry and Separation of Variables. Cambridge University Press, 2013.

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48

Miller, Willard. Symmetry and Separation of Variables. Cambridge University Press, 2013.

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49

Bluman, George, et Stephen Anco. Symmetry and Integration Methods for Differential Equations. Springer London, Limited, 2008.

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50

Symmetry And Integration Methods For Differential Equations. Springer, 2010.

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