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標(biāo)題: Titlebook: Applications of Lie Groups to Differential Equations; Peter J. Olver Textbook 1993Latest edition Springer-Verlag New York, Inc. 1993 CON_D [打印本頁(yè)]

作者: estrange    時(shí)間: 2025-3-21 19:42
書目名稱Applications of Lie Groups to Differential Equations影響因子(影響力)




書目名稱Applications of Lie Groups to Differential Equations影響因子(影響力)學(xué)科排名




書目名稱Applications of Lie Groups to Differential Equations網(wǎng)絡(luò)公開度




書目名稱Applications of Lie Groups to Differential Equations網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Applications of Lie Groups to Differential Equations被引頻次




書目名稱Applications of Lie Groups to Differential Equations被引頻次學(xué)科排名




書目名稱Applications of Lie Groups to Differential Equations年度引用




書目名稱Applications of Lie Groups to Differential Equations年度引用學(xué)科排名




書目名稱Applications of Lie Groups to Differential Equations讀者反饋




書目名稱Applications of Lie Groups to Differential Equations讀者反饋學(xué)科排名





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作者: 上流社會(huì)    時(shí)間: 2025-3-22 03:41

作者: 果仁    時(shí)間: 2025-3-22 05:19
Die Begriffe ?Linie“ und ?Fl?che“s of conservation of energy, conservation of momentum and so on, plays an important role in the analysis of basic properties of the solutions. In 1918, Emmy Noether proved the remarkable result that for systems arising from a variational principle, every conservation law of the system comes from a c
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作者: Dendritic-Cells    時(shí)間: 2025-3-22 16:42
Die Begriffe ?Linie“ und ?Fl?che“ing motion of rigid bodies, celestial mechanics, quantization theory and so on. More recently, Hamiltonian methods have become increasingly important in the study of the equations of continuum mechanics, including fluids, plasmas and elastic media. In this book, we are concerned with just one aspect
作者: 幸福愉悅感    時(shí)間: 2025-3-22 17:23
Nichtlineare DifferentialgleichungenConsequently, smooth solutions will satisfy the Euler-Lagrange equations for the relevant functional and one can employ the group-theoretic methods in the Lagrangian framework discussed in Chapters 4 and 5. However, when presented with the full dynamical problem, one encounters systems of evolution
作者: 旁觀者    時(shí)間: 2025-3-22 21:29

作者: 內(nèi)閣    時(shí)間: 2025-3-23 02:33
978-0-387-95000-6Springer-Verlag New York, Inc. 1993
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作者: 單色    時(shí)間: 2025-3-23 11:22
Introduction to Lie Groups,ncepts and how they can be related. Groups arise as an algebraic abstraction of the notion of symmetry; an important example is the group of rotations in the plane or three-dimensional space. Manifolds, which form the fundamental objects in the field of differential geometry, generalize the familiar
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作者: 胎兒    時(shí)間: 2025-3-24 00:13
Symmetry Groups and Conservation Laws,s of conservation of energy, conservation of momentum and so on, plays an important role in the analysis of basic properties of the solutions. In 1918, Emmy Noether proved the remarkable result that for systems arising from a variational principle, every conservation law of the system comes from a c
作者: 整理    時(shí)間: 2025-3-24 05:26
Generalized Symmetries,“geometrically” on the space of independent and dependent variables. E. Noether was the first to recognize that one could significantly extend the application of symmetry group methods by including derivatives of the relevant dependent variables in the transformations (or, more correctly, their infi
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作者: Pseudoephedrine    時(shí)間: 2025-3-24 21:36
Group-Invariant Solutions,ly states that the solutions which are invariant under a given .-parameter symmetry group of the system can all be found by solving a system of differential equations involving . fewer independent variables than the original system. In particular, if the number of parameters is one less than the num
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作者: 影響深遠(yuǎn)    時(shí)間: 2025-3-25 07:11
Die Verschiedenen Koordinatensysteme. Section 2.2 investigates the precise definition of a symmetry group of a system of differential equations, which requires knowledge of how the group elements actually transform the solutions. The corresponding infinitesimal method rests on the important concept of “prolonging” a group action to th
作者: 悲觀    時(shí)間: 2025-3-25 08:12
Die Verschiedenen Koordinatensystemely states that the solutions which are invariant under a given .-parameter symmetry group of the system can all be found by solving a system of differential equations involving . fewer independent variables than the original system. In particular, if the number of parameters is one less than the num
作者: Ingrained    時(shí)間: 2025-3-25 12:28
Finite-Dimensional Hamiltonian Systems, of this vast subject, namely the interplay between symmetry groups, conservation laws and reduction in order for systems in Hamiltonian form. The Hamiltonian version of Noether’s theorem has a particularly attractive geometrical flavour, which remains somewhat masked in our previous Lagrangian framework.
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作者: 芳香一點(diǎn)    時(shí)間: 2025-3-26 00:40
0072-5285 underlying theory. Many of the topics are presented in a novel way, with an emphasis on explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.978-0-387-95000-6978-1-4612-4350-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Symmetry Groups and Conservation Laws,um. This basic principle constitutes the first fundamental result in the study of classical or quantum-mechanical systems with prescribed groups of symmetries. Noether’s method is the principal systematic procedure for constructing conservation laws for complicated systems of partial differential equations.
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作者: 事先無(wú)準(zhǔn)備    時(shí)間: 2025-3-27 20:05
Nichtlineare Differentialgleichungenequations for which the Lagrangian viewpoint, even if applicable, no longer is appropriate or natural to the problem. In this case, the Hamiltonian formulation of systems of evolution equations assumes the natural variational role for the system.
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