Relevant bibliographies by topics / Variational principles

Academic literature on the topic 'Variational principles'

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Published: 4 June 2021
Last updated: 28 July 2024

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Journal articles on the topic "Variational principles"

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HUANG, YONG-CHANG, XI-GUO LEE, and MING-XUE SHAO. "UNIFIED EXPRESSIONS OF ALL INTEGRAL VARIATIONAL PRINCIPLES." Modern Physics Letters A 21, no. 14 (May 10, 2006): 1107–15. http://dx.doi.org/10.1142/s0217732306019232.

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In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, Hölder, Maupertuis–Lagrange variational principles of integral style, the invariant quantities of the general, Voss, Hölder, Maupertuis–Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, Hölder, Maupertuis–Lagrange variational principles are deduced, and the intrinsic relations among the invariant quantities and the Noether conservation charges of all the integral variational principles are achieved.
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Zhang, Qi-hao, and Dian-kui Liu. "Some Problems in the Theory of Nonconservative Elasticity." Transactions of the Canadian Society for Mechanical Engineering 10, no. 1 (March 1986): 28–33. http://dx.doi.org/10.1139/tcsme-1986-0005.

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This study develops the general quasi-variational principles for nonconservative problems in the theory of elasticity such as the quasi-potential energy principle, the quasi-complementary energy principle, the generalized quasi-variational principle and quasi-Hamilton principle. The application of these quasi-variational principles to finite element analysis is also discussed and illustrated with some examples. The total variational principle for nonconservative systems of two variables is also studied.
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Zhu, Jiang, Lei Wei, Yeol Je Cho, and Cheng Cheng Zhu. "Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces." Abstract and Applied Analysis 2012 (2012): 1–19. http://dx.doi.org/10.1155/2012/310369.

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Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are obtained. Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces. The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting ofF-type topological space and quasi-metric spaces in the literatures. Even in usual real metric spaces, some of our results are new.
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Xue, Shou Yi. "Study on Parametric Variational Principles in Elasticity." Applied Mechanics and Materials 501-504 (January 2014): 2475–78. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.2475.

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A parametric variational principle is deduced according to the equivalent integral form of all the controlling equations and boundary conditions in elasticity, and by adjusting the parameters, all kinds of variational principles put forward past and some new variational principles can be gained, which means that the method above is more clear in concept, and more concise.
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He, Ji-Huan. "Lagrange crisis and generalized variational principle for 3D unsteady flow." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 3 (September 20, 2019): 1189–96. http://dx.doi.org/10.1108/hff-07-2019-0577.

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Purpose A three-dimensional (3D) unsteady potential flow might admit a variational principle. The purpose of this paper is to adopt a semi-inverse method to search for the variational formulation from the governing equations. Design/methodology/approach A suitable trial functional with a possible unknown function is constructed, and the identification of the unknown function is given in detail. The Lagrange multiplier method is used to establish a generalized variational principle, but in vain. Findings Some new variational principles are obtained, and the semi-inverse method can easily overcome the Lagrange crisis. Practical implications The semi-inverse method sheds a promising light on variational theory, and it can replace the Lagrange multiplier method for the establishment of a generalized variational principle. It can be used for the establishment of a variational principle for fractal and fractional calculus. Originality/value This paper establishes some new variational principles for the 3D unsteady flow and suggests an effective method to eliminate the Lagrange crisis.
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Pan, Yuhua, Yuanfeng Wang, and Li Su. "ESTABLISHMENT OF DYNAMIC EQUATIONS FOR DAMPED SYSTEMS BASED ON QUASI-VARIATIONAL PRINCIPLES." Transactions of the Canadian Society for Mechanical Engineering 40, no. 5 (December 2016): 859–70. http://dx.doi.org/10.1139/tcsme-2016-0070.

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In this paper, quasi-variational principles for non-conservative damped systems are studied. A Hamiltontype quasi-variational principle for non-conservative systems in analytical mechanics and a quasi-variational principle of potential energy in non-conservative elastodynamics systems are proposed in simplified forms respectively, by using the direct variational integral method. On the basis of the standard linear solid model for viscoelastic materials, the dynamic equations of exponentially damped systems are established through the proposed quasi-variational principles. A distinction between the internal damping described by exponential damping and the external damping described by viscous one in a vibrating structure is according to different physical mechanisms, which gives some indication of the correct mechanism of damping.
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Auchmuty, Giles. "Variational principles for variational inequalities." Numerical Functional Analysis and Optimization 10, no. 9-10 (January 1989): 863–74. http://dx.doi.org/10.1080/01630568908816335.

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Tessarotto, Massimo, and Claudio Cremaschini. "The Principle of Covariance and the Hamiltonian Formulation of General Relativity." Entropy 23, no. 2 (February 10, 2021): 215. http://dx.doi.org/10.3390/e23020215.

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The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed. The analysis is performed in the framework of the Einstein-Hilbert variational theory. Preliminarily, customary Lagrangian variational principles are reviewed, pointing out the existence of a novel variational formulation in which the class of variations remains unconstrained. As a second step, the conditions of validity of the non-manifestly covariant ADM variational theory are questioned. The main result concerns the proof of its intrinsic non-Hamiltonian character and the failure of this approach in providing a symplectic structure of space-time. In contrast, it is demonstrated that a solution reconciling the physical requirements of covariance and manifest covariance of variational theory with the existence of a classical Hamiltonian structure for the gravitational field can be reached in the framework of synchronous variational principles. Both path-integral and volume-integral realizations of the Hamilton variational principle are explicitly determined and the corresponding physical interpretations are pointed out.
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Street, O. D., and D. Crisan. "Semi-martingale driven variational principles." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2247 (March 2021): 20200957. http://dx.doi.org/10.1098/rspa.2020.0957.

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Spearheaded by the recent efforts to derive stochastic geophysical fluid dynamics models, we present a general framework for introducing stochasticity into variational principles through the concept of a semi-martingale driven variational principle and constraining the component variables to be compatible with the driving semi-martingale. Within this framework and the corresponding choice of constraints, the Euler–Poincaré equation can be easily deduced. We show that the deterministic theory is a special case of this class of stochastic variational principles. Moreover, this is a natural framework that enables us to correctly characterize the pressure term in incompressible stochastic fluid models. Other general constraints can also be incorporated as long as they are compatible with the driving semi-martingale.
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Cremaschini, Claudio, and Massimo Tessarotto. "Unconstrained Lagrangian Variational Principles for the Einstein Field Equations." Entropy 25, no. 2 (February 12, 2023): 337. http://dx.doi.org/10.3390/e25020337.

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This paper deals with the problem of establishing a systematic theoretical formulation of variational principles for the continuum gravitational field dynamics of classical General Relativity (GR). In this reference, the existence of multiple Lagrangian functions underlying the Einstein field equations (EFE) but having different physical connotations is pointed out. Given validity of the Principle of Manifest Covariance (PMC), a set of corresponding variational principles can be constructed. These are classified in two categories, respectively, referred to as constrained and unconstrained Lagrangian principles. They differ for the normalization properties required to be satisfied by the variational fields with respect to the analogous conditions holding for the extremal fields. However, it is proved that only the unconstrained framework correctly reproduces EFE as extremal equations. Remarkably, the synchronous variational principle recently discovered belongs to this category. Instead, the constrained class can reproduce the Hilbert–Einstein formulation, although its validity demands unavoidably violation of PMC. In view of the mathematical structure of GR based on tensor representation and its conceptual meaning, it is therefore concluded that the unconstrained variational setting should be regarded as the natural and more fundamental framework for the establishment of the variational theory of EFE and the consequent formulation of consistent Hamiltonian and quantum gravity theories.
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Dissertations / Theses on the topic "Variational principles"

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Springborn, Boris Andre Michael. "Variational principles for circle patterns." [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=969719892.

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Figueiredo, Djairo G. de. "On some recent variational principles." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/95486.

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In this paper we survey some recent variational principies, which have proved to be very useful in the applications to the theory of differential equations, both ordinary and partial. We start with a basic principle due to Ekeland [4}, which provides new proofs to the well known minimax theorems of Ambrosetti - Rabinowitz [2} and Rabinowitz{7}, {8}. For proofs of these results we refer to{8}. We also mention some applications to semilinear elliptic equations.
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LEVI, FRANCESCA. "Variational principles for evolution problems." Doctoral thesis, Università degli studi di Brescia, 2023. https://hdl.handle.net/11379/571585.

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Lo studio di fenomeni che evolvono nel tempo è spesso condotto attraverso la loro modellazione come sistemi dinamici, la cui formulazione matematica, in genere, richiede la risoluzione di sistemi di equazioni differenziali a condizioni iniziali. Risolvere le equazioni che governano un fenomeno fisico evolutivo significa determinarne l'evoluzione nel tempo a partire da un insieme di condizioni iniziali; ad esempio, considerando i sistemi meccanici, attraverso una legge matematica che ne determina la posizione e la velocità in funzione del tempo. Tuttavia, le equazioni che governano il moto spesso non possono essere risolte analiticamente e quindi vengono utilizzate tecniche di integrazione numerica per ottenere un'approssimazione accurata della soluzione. Trattare il problema dello studio di un sistema fisico da un punto di vista variazionale può essere un approccio diverso, motivato dalla formulazione Lagrangiana della meccanica classica. L'idea di sostituire un dato problema con uno equivalente in forma variazionale non è certo nuova: l'interesse per questa formulazione è infatti giustificato dalla validità dei cosiddetti metodi diretti del calcolo delle variazioni. Questi metodi sono validi sia per uno studio qualitativo del problema (verifica dell'esistenza e unicità della soluzione, la sua regolarità, ecc.), sia per uno studio quantitativo, cioè da un punto di vista numerico (valutazione della convergenza, stima dell'errore della soluzione approssimata). In questa tesi vengono analizzati problemi evolutivi di interesse ingegneristico, formulati per via variazionale. In primo luogo, il problema viscoelastico lineare viene risolto numericamente utilizzando tre diverse formulazioni variazionali: la formulazione di Gurtin, la formulazione di Gurtin splittata e la formulazione di Huet. Il metodo degli elementi finiti viene utilizzato per la discretizzazione spaziale e il metodo Ritz viene utilizzato per la discretizzazione temporale. Successivamente, si prende in considerazione il problema della conduzione del calore. Vengono considerate due formulazioni: la prima basata su una forma bilineare convolutiva, la seconda su una forma bilineare biconvolutiva. Numerosi esperimenti numerici mettono in luce la bontà dei due diversi approcci. Viene poi affrontato il tema della determinazione di upper e lower bounds per le proprietà meccaniche di materiali compositi costituiti da fasi aventi legami costitutivi viscoelastici. Successivamente viene analizzato il problema dell'evoluzione di una frattura sia in un mezzo elastico sia in un mezzo viscoelastico. Nel primo caso viene proposta una formulazione estremale analoga a quella di Capurso e Maier, valida in ambito elastoplastico. Infine, viene considerata la stabilità dinamica di sistemi piani con una sola massa concentrata e soggetti a forze follower.
The study of phenomena that evolve over time is often conducted through their modelling as dynamic systems, whose mathematical formulation generally requires the resolution of systems of differential equations with initial conditions. Solving the governing equations of a physical phenomenon means determining its evolution over time starting from a set of initial conditions; for example, considering mechanical systems, through a mathematical law that determines its position and speed as functions of time. However, the equations governing motion cannot be often solved analytically and therefore, numerical integration techniques are used in order to obtain an accurate approximation of the solution. Treating the problem of studying a physical system from a variational point of view may be a different approach, motivated by the Lagrangian formulation of classical mechanics. The idea of replacing a given problem with an equivalent one in variational form is certainly not new: the interest in this formulation is in fact justified by the validity of the so-called direct methods of the calculation of variations. These methods are valid both for a qualitative study of the problem (verification of existence and uniqueness of the solution, its regularity, etc.), and for a quantitative study, namely from a numerical point of view (evaluation of convergence, estimation of the error of the approximate solution). In this thesis, evolution problems of engineering interest are analyzed, formulated in a variational way. Firstly, the linear viscoelastic problem is numerically solved using three different variational formulation, such as Gurtin's variational formulation, Split Gurtin formulation and the Huet formulation. The Finite Element Method is used for the space discretization and the Ritz method is used for the time discretization. Then, the heat conduction problem is taken into account. Two formulations are considered: the first one based on a convolutive bilinear form, the second one based on a biconvolutive bilinear form. Several numerical examples highlight the goodness of the two different approaches. Next, the problem of the determination of upper and lower bounds for the mechanical properties of composite materials, consisting of phases having viscoelastic constitutive laws, is addressed. Subsequently, the problem of the evolution of a fracture is analyzed both in an elastic medium and in a viscoelastic medium. In the first case, an extremal formulation, similar to that of Capurso and Maier, is proposed, valid in the elastoplastic field. Finally, the dynamical stability of plane systems with just one lumped mass, subjected to follower forces, is considered.
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Brown, Geoffrey James Nicholas. "Variational principles in atomic collisions and electromagnetism." Thesis, Queen's University Belfast, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.335344.

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Kocillari, Loren. "Variational principles and optimality in biological systems." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3425402.

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The aim of this thesis is to investigate the signatures of evolutionary optimization in biological systems, such as in proteins, human behaviours and transport tissues in vascular plants (xylems), by means of the Pareto optimality analysis and the calculus of variations. In the first part of this thesis, we address multi-objective optimization problems with tradeoffs through the Pareto optimality analysis ( [132],[69]), according which the best tradeoff solutions correspond to the optimal species, enclosed onto low-dimensional geometrical polytopes, defined as Pareto optimal fronts, in the space of physical traits, called morphospace. Chapter 3 is devoted to the Pareto optimality analysis in the Escherichia coli proteome by projecting proteins onto the space of solubility and hydrophobicity. In chapter 4 we analyze the HCP dataset of cognitive and behavioral scores in 1206 humans, in order to identify any signature of Pareto optimization in the space of Delay Discounting Task (DDT), which measures the tendency for people to prefer smaller, immediate monetary rewards over larger, delayed rewards. The second part of this thesis is devoted to solving an optimization problem regarding xylems, which are the internal conduits in angiosperms that deliver water and other nutrients from roots to petioles in plants. Based on the optimization criteria of minimizing the energy dissipated in a fluid flow, we propose in chapter 5 a biophysical model with the goal of explaining the underlying physical mechanism that affects the structure of xylem conduits in vascular plants, which results in tapered xylem profiles [104, 105, 117, 164]. We address this optimization problem by formulating the model in the context of the calculus of variations. The results of these investigations, besides providing quantitative support to previous theories of natural selection, demonstrate how processes of optimization can be identified in different biological systems by applying statistical methods such as the Pareto optimality and the variational one, showing the relevance of employing these statistical approaches to various biological systems.
Lo scopo di questa tesi è quello di identificare le impronte che l’evoluzione ha avuto nei sistemi biologici, come ad esempio nelle proteine, nei comportamenti umani e nei tessuti trasportatori delle piante vascolari (xilemi), attraverso un’analisi di ottimizzazione di Pareto ed il calcolo delle variazioni. Nella prima parte della tesi, affrontiamo l’ottimizzazione di problemi multi-obiettivo con competizione, attraverso l’analisi di ottimizzazione di Pareto, in base alla quale le migliori soluzioni di compromesso corrispondono alle specie ottimali, le quali vengono racchiuse in politopi geometrici, definiti come fronti ottimali di Pareto, nello spazio dei tratti fisici. Il capitolo 3 è dedicato all’analisi dell’ottimizzazione di Pareto nel proteoma dell’Escherichia coli, proiettando le proteine nello spazio della solubilitá ed idrofobicitá. Nel capitolo 4 analizziamo il set di dati HCP cognitivi e comportamentali in 1206 umani, al fine di identificare qualsiasi traccia di ottimizzazione alla Pareto nello spazio del “Delay Discounting Task” (DDT), che misura la tendenza per le persone a preferire ritorni economici piú piccoli e immediati rispetto a ricompense di premi piú grandi e ritardati. La seconda parte di questa tesi è dedicata alla risoluzione di un problema di ottimizzazione riguardante gli xilemi, che sono i condotti interni degli angiospermi e forniscono con acqua ed altri nutrienti le piante, dalle radici ai piccioli. Basandosi sui criteri di ottimizzazione per minimizzare l’energia dissipata in un flusso di fluido, nel capitolo 5 proponiamo un modello biofisico con l’obiettivo di spiegare il meccanismo fisico sottostante che influenza la struttura di condotti dello xilema nelle piante vascolari, che si traducono in profili di xilema affusolati. Affrontiamo questo problema di ottimizzazione formulando il modello nel contesto del calcolo delle variazioni. I risultati di queste indagini, oltre a fornire supporto quantitativo sulle precedenti teorie sulla selezione naturale, dimostra come i processi dell’ottimizzazione possono essere identificati in diversi sistemi biologici applicando metodi statistici come l’ottimalitá di Pareto e il variazionale uno, mostrando la rilevanza di impiegare questi approcci statistici a vari sistemi biologici.
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Kerce, James Clayton. "Geometric problems relating evolution equations and variational principles." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/28739.

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Gheorghiu, Horia-Nicolae Mihalache. "Generalized variational principles for steady-state neutron balance equations." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/16793.

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Thompson, Daniel J. "Irregular sets and conditional variational principles in dynamical systems." Thesis, University of Warwick, 2009. http://wrap.warwick.ac.uk/2046/.

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We derive key results from dimension theory in dynamical systems and thermodynamic formalism at a level of generality suitable for the study of systems which are beyond the scope of the standard uniformly hyperbolic theory. Let (X, d) be a compact metric space, f : X → X be a continuous map and φ : X → R be a continuous function. The subject of chapters 4 and 5 is the multifractal analysis of Birkhoff averages for φ when topological pressure (in the sense of Pesin and Pitskel) is the dimension characteristic and f has the specification property. In chapter 4, we consider the set of points for which the Birkhoff average of φ does not exist (which we call the irregular set for φ) and show that this set is either empty or has full topological pressure. We formulate various equivalent natural conditions on φ that completely describe when the latter situation holds. In chapter 5, we prove a conditional variational principle for topological pressure for non-compact sets of the form {x∈X : lim n→∞ 1/n n−1 Σ i=0 φ(fi(x))= α}, generalising a previously known result for topological entropy. As one application, we prove multifractal analysis results for the entropy spectrum of a suspension flow over a continuous map with specification. In chapter 6, we assume that f : X 7→ X is a continuous map satisfying a property we call almost specification (which is weaker than specification). We show that the set of points for which the Birkhoff average of φ does not exist is either empty or has full topological entropy. Every β-shift satisfies almost specification and we show that the irregular set for any β-shift or β-transformation is either empty or has full topological entropy and Hausdorff dimension. In chapter 7, we introduce an alternative definition of topological pressure for arbitrary (noncompact, non-invariant) Borel subsets of metric spaces. This new quantity is defined via a suitable conditional variational principle, leading to an alternative definition of an equilibrium state. We study the properties of this new quantity and compare it with existing notions of topological pressure. We apply our new definition to some interesting examples, including the level sets of the pointwise Lyapunov exponent for the Manneville-Pomeau family of maps.
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McCulloch, Lee Nolan. "Spinor formulations and variational principles for Einstein's field equations." Thesis, King's College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314105.

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Babish, John. "A modal/spectral analysis of mass distribution effects in a fluid-load plate." Thesis, Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/19472.

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Books on the topic "Variational principles"

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Moiseiwitsch, Benjamin Lawrence. Variational principles. Mineola, N.Y: Dover Publications, 2004.

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Lanczos, Cornelius. The variational principles ofmechanics. 4th ed. New York: Dover Publications, 1986.

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Fomenko, A. T. Variational Principles of Topology. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1856-6.

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Basdevant, Jean-Louis. Variational Principles in Physics. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-21692-3.

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Biró, Tamás Sándor. Variational Principles in Physics. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-27876-1.

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The variational principles of dynamics. Singapore: World Scientific, 1992.

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Bleecker, David. Gauge theory and variational principles. Mineola, N.Y: Dover Publications, 2005.

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Libai, Avinoam. Variational principles in nonlinear shell theory. Haifa: Technion Israel Institute of Technology, 1987.

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United States. National Aeronautics and Space Administration., ed. A geometric nonlinear degenerated shell element using a mixed formulation with independently assumed strain fields. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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United States. National Aeronautics and Space Administration., ed. A geometric nonlinear degenerated shell element using a mixed formulation with independently assumed strain fields. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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Book chapters on the topic "Variational principles"

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Bellman, Richard, and Ramabhadra Vasudevan. "Variational Principles." In Wave Propagation, 215–58. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-5227-0_10.

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da Silva, Ana Cannas. "Variational Principles." In Lecture Notes in Mathematics, 135–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-45330-7_19.

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Witelski, Thomas, and Mark Bowen. "Variational Principles." In Methods of Mathematical Modelling, 47–83. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23042-9_3.

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Arnold, V. I. "Variational principles." In Mathematical Methods of Classical Mechanics, 55–74. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4757-2063-1_3.

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DiBenedetto, Emmanuele. "Variational Principles." In Classical Mechanics, 231–56. Boston, MA: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4648-6_9.

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Guz, A. N. "Variational principles." In Foundations of Engineering Mechanics, 309–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-540-69633-9_13.

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Torquato, Salvatore. "Variational Principles." In Interdisciplinary Applied Mathematics, 357–89. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-6355-3_14.

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Seaborn, James B. "Variational Principles." In Mathematics for the Physical Sciences, 207–26. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9279-8_10.

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Vinter, Richard. "Variational Principles." In Optimal Control, 109–26. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-8086-2_3.

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Brogliato, Bernard. "Variational principles." In Communications and Control Engineering, 77–103. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0557-2_3.

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Conference papers on the topic "Variational principles"

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KRUPKA, D. "NATURAL VARIATIONAL PRINCIPLES." In Proceedings of the International Conference on SPT 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812776174_0014.

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Baleanu, Dumitru. "Difference Discrete Variational Principles." In MATHEMATICAL ANALYSIS AND APPLICATIONS: International Conference on Mathematical Analysis and Applications. AIP, 2006. http://dx.doi.org/10.1063/1.2205033.

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Tulczyjew, Włodzimierz M. "The origin of variational principles." In Classical and Quantum Integrability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc59-0-2.

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Greiner, Guenther. "Blending techniques based on variational principles." In Applications in Optical Science and Engineering, edited by Joe D. Warren. SPIE, 1992. http://dx.doi.org/10.1117/12.131743.

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Song, Haiyan, Zhengong Zhou, Lifu Liang, and Zongmin Liu. "Generalized Variational Principles of Electro-Magneto-Thermo-Elasto-Dynamics." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10681.

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Based on coupled properties of electricity, magnetism, heat and force, it is hard to solve the material’s electric behavior, magnetic behavior, temperature field, stress distribution and deformation distribution under the action of all kinds of external fields in usual way. It is necessary that the problems are solved by numerical methods. However variational principle is the foundation of these numerical methods which were widely used. In this paper, the generalized variational principles of electro-magneto-thermo-elasto-dynamics are established by variational integral method. And these variational principles can be degenerated into variational principles of simple coupled properties materials, which offer theoretical support for numerical methods of coupled problems of electro-magneto-thermo-elasticity.
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Yahalom, Asher. "CFD Methods Derived from Simplified Variational Principles." In 45th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-315.

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Negrean, I., C. Schonstein, D. C. Negrean, A. S. Negrean, and A. V. Duca. "Formulations in robotics based on variational principles." In 2010 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR 2010). IEEE, 2010. http://dx.doi.org/10.1109/aqtr.2010.5520871.

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Thyagaraja, A. "Adjoint variational principles for regularised conservative systems." In INTERNATIONAL CONFERENCE ON COMPLEX PROCESSES IN PLASMAS AND NONLINEAR DYNAMICAL SYSTEMS. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4865349.

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Krupka, D. "Global Variational Principles: Foundations and Current Problems." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814712.

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Fong, William, Eric Darve, and Adrian Lew. "Stability of Asynchronous Variational Integrators." In 21st International Workshop on Principles of Advanced and Distributed Simulation. IEEE, 2007. http://dx.doi.org/10.1109/pads.2007.29.

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Reports on the topic "Variational principles"

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Robinson, H. C., R. T. Richards, J. B. Blottman, and III. Flextensional Transducer Modeling Using Variational Principles. Fort Belvoir, VA: Defense Technical Information Center, September 1993. http://dx.doi.org/10.21236/ada284740.

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Caflisch, Russel. Accelerated Simulation of Kinetic Transport Using Variational Principles and Sparsity. Office of Scientific and Technical Information (OSTI), June 2017. http://dx.doi.org/10.2172/1417993.

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A. Fruchtman and N. J. Fisch. Variational Principle for Optimal Accelerated Neutralized Flow. Office of Scientific and Technical Information (OSTI), September 2000. http://dx.doi.org/10.2172/765154.

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Georgieva, Bogdana. The Variational Principle of Hergloz and Related Results. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-214-225.

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Harrison, Alan K. Wavefunction Collapse via a Nonlocal Relativistic Variational Principle. Office of Scientific and Technical Information (OSTI), June 2012. http://dx.doi.org/10.2172/1044074.

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Srinivasan, R. A variational principle for the Ackerberg-O'Malley resonance problem. Office of Scientific and Technical Information (OSTI), August 1987. http://dx.doi.org/10.2172/5639216.

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Cook, W. A. Generalized finite strains, generalized stresses, and a hybrid variational principle for finite-element computer programs using curvilinear coordinates. Office of Scientific and Technical Information (OSTI), April 1989. http://dx.doi.org/10.2172/6288515.

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Dinarte, Lelys, Pablo Egaña del Sol, and Claudia Martínez. When Emotion Regulation Matters: The Efficacy of Socio-Emotional Learning to Address School-Based Violence in Central America. Inter-American Development Bank, March 2024. http://dx.doi.org/10.18235/0012854.

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After-school programs (ASP) that keep youth protected while engaging them in socio-emotional learning might address school-based violent behaviors. This paper experimentally studies the socio-emotional-learning component of an ASP targeted to teenagers in public schools in the most violent neighborhoods of El Salvador, Honduras, and Guatemala. Participant schools were randomly assigned to different ASP variations, some of them including psychology-based interventions. Results indicate that including psychology-based activities as part of the ASP increases by 23 percentage points the probability that students are well-behaved at school. The effect is driven by the most at-risk students. Using data gathered from task-based games and AI-powered emotion-detection algorithms, this paper shows that improvement in emotion regulation is likely driving the effect. When comparing a psychology-based curriculum aiming to strengthen participants' character and another based on mindfulness principles, results show that the latter improves violent behaviors while reducing school dropout.
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Arif, Sirojuddin, Risa Wardatun Nihayah, Niken Rarasati, Shintia Revina, and Syaikhu Usman. Of Power and Learning: DistrictHeads, Bureaucracy, and EducationPolicies in Indonesia’s Decentralised Political System. Research on Improving Systems of Education (RISE), September 2022. http://dx.doi.org/10.35489/bsg-rise-wp_2022/111.

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This paper examines the politics of education policies in a decentralised political system. Under what conditions does decentralisation promote learning-enhancing policies? Despite the numerous works that have been written on decentralisation and education, little is known about how politics influenced local education policies. To address this problem, this paper looks at the linkages between local politics, bureaucratic capacity, and the development of learning-enhancing policies in Indonesia’s decentralised political system. More specifically, it assesses how regional variation in the discretionary power of district heads over employment decisions in the state bureaucracy explains the variation in local education policies in four districts in Indonesia. The primary data were collected through in-depth interviews with political leaders, bureaucrats, district education councils, school principals, teachers, teacher organisations, parents, non-government and community-based organisations, journalists, academicians, and other relevant informants. Using Mill’s method of difference, the comparative analysis presented in this paper demonstrates that institutional constraints on the discretionary power of the district head over employment decisions in the state bureaucracy do matter for the development of learning-enhancing policies. Such constraints can pave the way for the development of the bureaucratic capacity required for governments to pursue learning-enhancing policies. Absent constraints on the discretionary power of district heads over employment decisions in the state bureaucracy, the extent to which districts implement learning-enhancing policies will depend on district heads’ commitment to student learning.
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Jacobs, Timothy, and Jacob Hedrick. PR-457-14201-R03 Variable NG Composition Effects in LB 2S Compressor Engines - Prediction Enhancement. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), August 2017. http://dx.doi.org/10.55274/r0011406.

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Phase II of the project has focused on improving the initial analysis performed in the first phase by enhancing the various aspects of predictive combustion for lean burn spark ignition natural gas engines under variable composition fueling. These enhancements have incorporated validation data from a Cooper-Bessemer GMVH-10C3 engine located in New Jersey, which improves upon the lack of field data to bound the scope of composition variation. In simulation related endeavors, effort was made to improve the fundamental combustion physics related parameters, namely laminar flame speed, by developing a code base for distributed computing of the chemical kinetics solver, Cantera, and was key to improving upon the chemistry modeling used in the previous phase. Methods to improve numerical convergence were employed to reduce the time to solve large mechanisms, such as the Saudi Aramco Mechanism (v1.3). Modeling of pre-chamber combustion from first principles, common input experimental heat release analysis and simulated heat release generation were additional components of improving model matching with pre-chambered engines. In its current state, manual optimization is required to tune the heat release curves based on guesses about the initial charge mass state, scavenging efficiency, fuel delivery and thereby the trapped equivalence ratio.
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