Relevant bibliographies by topics / Nonlocal order

Academic literature on the topic 'Nonlocal order'

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Published: 14 March 2023

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Journal articles on the topic "Nonlocal order"

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Kandemir, Mustafa. "SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH TRANSMISSION CONDITIONS FOR DISCONTINUOUS ELLIPTIC DIFFERENTIAL OPERATOR EQUATIONS." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 1 (March 30, 2016): 5842–57. http://dx.doi.org/10.24297/jam.v12i1.609.

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We consider nonlocal boundary value problems which includes discontinuous coefficients elliptic differential operator equations of the second order and nonlocal boundary conditions together with boundary-transmission conditions. We prove coerciveness and Fredholmness for these nonlocal boundary value problems.
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Bougoffa, Lazhar. "A third-order nonlocal problem with nonlocal conditions." International Journal of Mathematics and Mathematical Sciences 2004, no. 28 (2004): 1503–7. http://dx.doi.org/10.1155/s0161171204303017.

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We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
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Rossi, Julio D., and Carola-Bibiane Schönlieb. "Nonlocal higher order evolution equations." Applicable Analysis 89, no. 6 (June 2010): 949–60. http://dx.doi.org/10.1080/00036811003735824.

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Hache, Florian, Noël Challamel, and Isaac Elishakoff. "Asymptotic derivation of nonlocal beam models from two-dimensional nonlocal elasticity." Mathematics and Mechanics of Solids 24, no. 8 (March 29, 2018): 2425–43. http://dx.doi.org/10.1177/1081286518756947.

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The paper is focused on the possible justification of nonlocal beam models (at the macroscopic scale) from an asymptotic derivation based on nonlocal two-dimensional elasticity (at the material scale). The governing partial differential equations are expanded in Taylor series, through the dimensionless depth ratio of the beam. It is shown that nonlocal Bernoulli–Euler beam models can be asymptotically obtained from nonlocal two-dimensional elasticity, with a nonlocal length scale at the beam scale (macroscopic length scale) that may differ from the nonlocal length scale at the material scale. Only when the nonlocality is restricted to the axial direction are the two length scales coincident. In this specific nonlocal case, the nonlocal Bernoulli–Euler model emerged at the zeroth order of the asymptotic expansion, and the nonlocal truncated Bresse–Timoshenko model at the second order. However, in the general case, some new asymptotically-based nonlocal beam models are built which may differ from existing references nonlocal structural models. The natural frequencies for simply supported nonlocal beams are determined for each nonlocal model. The comparison shows that the models provide close results for low orders of frequencies and the difference increases with the order.
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Pavlačková, Martina, and Valentina Taddei. "Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness." Archivum Mathematicum, no. 1 (2023): 99–107. http://dx.doi.org/10.5817/am2023-1-99.

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Nizhnik, Leonid. "Inverse spectral nonlocal problem for the first order ordinary differential equation." Tamkang Journal of Mathematics 42, no. 3 (August 24, 2011): 385–94. http://dx.doi.org/10.5556/j.tkjm.42.2011.881.

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Hou, Lijia, Yali Qin, Huan Zheng, Zemin Pan, Jicai Mei, and Yingtian Hu. "Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction." Electronics 10, no. 2 (January 12, 2021): 150. http://dx.doi.org/10.3390/electronics10020150.

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Total variation often yields staircase artifacts in the smooth region of the image reconstruction. This paper proposes a hybrid high-order and fractional-order total variation with nonlocal regularization algorithm. The nonlocal means regularization is introduced to describe image structural prior information. By selecting appropriate weights in the fractional-order and high-order total variation coefficients, the proposed algorithm makes the fractional-order and the high-order total variation complement each other on image reconstruction. It can solve the problem of non-smooth in smooth areas when fractional-order total variation can enhance image edges and textures. In addition, it also addresses high-order total variation alleviates the staircase artifact produced by traditional total variation, still smooth the details of the image and the effect is not ideal. Meanwhile, the proposed algorithm suppresses painting-like effects caused by nonlocal means regularization. The Lagrange multiplier method and the alternating direction multipliers method are used to solve the regularization problem. By comparing with several state-of-the-art reconstruction algorithms, the proposed algorithm is more efficient. It does not only yield higher peak-signal-to-noise ratio (PSNR) and structural similarity (SSIM) but also retain abundant details and textures efficiently. When the measurement rate is 0.1, the gains of PSNR and SSIM are up to 1.896 dB and 0.048 dB respectively compared with total variation with nonlocal regularization (TV-NLR).
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Jung, Woo-Young, and Sung-Cheon Han. "Nonlocal Elasticity Theory for Transient Analysis of Higher-Order Shear Deformable Nanoscale Plates." Journal of Nanomaterials 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/208393.

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The small scale effect on the transient analysis of nanoscale plates is studied. The elastic theory of the nano-scale plate is reformulated using Eringen’s nonlocal differential constitutive relations and higher-order shear deformation theory (HSDT). The equations of motion of the nonlocal theories are derived for the nano-scale plates. The Eringen’s nonlocal elasticity of Eringen has ability to capture the small scale effects and the higher-order shear deformation theory has ability to capture the quadratic variation of shear strain and consequently shear stress through the plate thickness. The solutions of transient dynamic analysis of nano-scale plate are presented using these theories to illustrate the effect of nonlocal theory on dynamic response of the nano-scale plates. On the basis of those numerical results, the relations between nonlocal and local theory are investigated and discussed, as are the nonlocal parameter, aspect ratio, side-to-thickness ratio, nano-scale plate size, and time step effects on the dynamic response. In order to validate the present solutions, the reference solutions are employed and examined. The results of nano-scale plates using the nonlocal theory can be used as a benchmark test for the transient analysis.
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Correa, Ernesto, and Arturo de Pablo. "Nonlocal operators of order near zero." Journal of Mathematical Analysis and Applications 461, no. 1 (May 2018): 837–67. http://dx.doi.org/10.1016/j.jmaa.2017.12.011.

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Cardinali, Tiziana, and Serena Gentili. "An existence theorem for a non-autonomous second order nonlocal multivalued problem." Studia Universitatis Babes-Bolyai Matematica 62, no. 1 (March 1, 2017): 101–17. http://dx.doi.org/10.24193/subbmath.2017.0008.

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Dissertations / Theses on the topic "Nonlocal order"

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Liu, Weian. "Monotone method for nonlocal systems of first order." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2979/.

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In this paper, the monotone method is extended to the initial-boundary value problems of nonlocal PDE system of first order, both quasi-monotone and non-monotone. A comparison principle is established, and a monotone scheme is given.
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Ma, Ding Henderson Johnny. "Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations." Waco, Tex. : Baylor University, 2005. http://hdl.handle.net/2104/3577.

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Gray, Michael Jeffery Henderson Johnny L. "Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations." Waco, Tex. : Baylor University, 2006. http://hdl.handle.net/2104/4185.

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Tapdigoglu, Ramiz. "Inverse problems for fractional order differential equations." Thesis, La Rochelle, 2019. http://www.theses.fr/2019LAROS004/document.

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Dans cette thèse, nous nous intéressons à résoudre certains problèmes inverses pour des équations différentielles aux dérivées fractionnaires. Un problème inverse est généralement mal posé. Un problème mal posé est un problème qui ne répond pas à l’un des trois critères de Hadamard pour être bien posé, c’est-à-dire, soit l’existence, l’unicité ou une dépendance continue aux données n'est plus vraie, à savoir, des petits changements dans les données de mesure entraînent des changements indéfiniment importants dans la solution. La plupart des difficultés à résoudre des problèmes mal posés sont causées par l’instabilité de la solution. D’autre part, les équations différentielles fractionnaires deviennent un outil important dans la modélisation de nombreux problèmes de la vie réelle et il y a eu donc un intérêt croissant pour l’étude des problèmes inverses avec des équations différentielles fractionnaires. Le calcul fractionnaire est une branche des mathématiques qui fait référence à l’extension du concept de dérivation classique à la dérivation d’ordre non entier. Calculer une dérivée fractionnaire à un certain moment exige tous les processus précédents avec des propriétés de mémoire. C’est l’avantage principal du calcul fractionnaire d’expliquer les processus associés aux systèmes physiques complexes qui ont une mémoire à long terme et / ou des interactions spatiales à longue distance. De plus, les équations différentielles fractionnaires peuvent nous aider à réduire les erreurs découlant de paramètres négligés dans la modélisation des phénomènes physiques
In this thesis, we are interested in solving some inverse problems for fractional differential equations. An inverse problem is usually ill-posed. The concept of an ill-posed problem is not new. While there is no universal formal definition for inverse problems, Hadamard [1923] defined a problem as being ill-posed if it violates the criteria of a well-posed problem, that is, either existence, uniqueness or continuous dependence on data is no longer true, i.e., arbitrarily small changes in the measurement data lead to indefinitely large changes in the solution. Most difficulties in solving ill-posed problems are caused by solution instability. Inverse problems come into various types, for example, inverse initial problems where initial data are unknown and inverse source problems where the source term is unknown. These unknown terms are to be determined using extra boundary data. Fractional differential equations, on the other hand, become an important tool in modeling many real-life problems and hence there has been growing interest in studying inverse problems of time fractional differential equations. The Non-Integer Order Calculus, traditionally known as Fractional Calculus is the branch of mathematics that tries to interpolate the classical derivatives and integrals and generalizes them for any orders, not necessarily integer order. The advantages of fractional derivatives are that they have a greater degree of flexibility in the model and provide an excellent instrument for the description of the reality. This is because of the fact that the realistic modeling of a physical phenomenon does not depend only on the instant time, but also on the history of the previous time, i.e., calculating timefractional derivative at some time requires all the previous processes with memory and hereditary properties
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Lee, Haewon. "Nolinear Evolution Equations and Optimization Problems in Banach Spaces." Ohio University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1127498683.

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Debroux, Noémie. "Mathematical modelling of image processing problems : theoretical studies and applications to joint registration and segmentation." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR02/document.

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Dans cette thèse, nous nous proposons d'étudier et de traiter conjointement plusieurs problèmes phares en traitement d'images incluant le recalage d'images qui vise à apparier deux images via une transformation, la segmentation d'images dont le but est de délimiter les contours des objets présents au sein d'une image, et la décomposition d'images intimement liée au débruitage, partitionnant une image en une version plus régulière de celle-ci et sa partie complémentaire oscillante appelée texture, par des approches variationnelles locales et non locales. Les relations étroites existant entre ces différents problèmes motivent l'introduction de modèles conjoints dans lesquels chaque tâche aide les autres, surmontant ainsi certaines difficultés inhérentes au problème isolé. Le premier modèle proposé aborde la problématique de recalage d'images guidé par des résultats intermédiaires de segmentation préservant la topologie, dans un cadre variationnel. Un second modèle de segmentation et de recalage conjoint est introduit, étudié théoriquement et numériquement puis mis à l'épreuve à travers plusieurs simulations numériques. Le dernier modèle présenté tente de répondre à un besoin précis du CEREMA (Centre d'Études et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement) à savoir la détection automatique de fissures sur des images d'enrobés bitumineux. De part la complexité des images à traiter, une méthode conjointe de décomposition et de segmentation de structures fines est mise en place, puis justifiée théoriquement et numériquement, et enfin validée sur les images fournies
In this thesis, we study and jointly address several important image processing problems including registration that aims at aligning images through a deformation, image segmentation whose goal consists in finding the edges delineating the objects inside an image, and image decomposition closely related to image denoising, and attempting to partition an image into a smoother version of it named cartoon and its complementary oscillatory part called texture, with both local and nonlocal variational approaches. The first proposed model addresses the topology-preserving segmentation-guided registration problem in a variational framework. A second joint segmentation and registration model is introduced, theoretically and numerically studied, then tested on various numerical simulations. The last model presented in this work tries to answer a more specific need expressed by the CEREMA (Centre of analysis and expertise on risks, environment, mobility and planning), namely automatic crack recovery detection on bituminous surface images. Due to the image complexity, a joint fine structure decomposition and segmentation model is proposed to deal with this problem. It is then theoretically and numerically justified and validated on the provided images
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Sánchez, de la Peña David Verfasser], Carsten [Akademischer Betreuer] [Honerkamp, and Michael M. [Akademischer Betreuer] Scherer. "Competing orders in honeycomb Hubbard models with nonlocal Coulomb interactions : a functional renormalization group approach / David Sánchez de la Peña ; Carsten Honerkamp, Michael M. Scherer." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1191901653/34.

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Sánchez, de la Peña David [Verfasser], Carsten [Akademischer Betreuer] Honerkamp, and Michael M. [Akademischer Betreuer] Scherer. "Competing orders in honeycomb Hubbard models with nonlocal Coulomb interactions : a functional renormalization group approach / David Sánchez de la Peña ; Carsten Honerkamp, Michael M. Scherer." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1191901653/34.

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Junior, Vanderley Alves Ferreira. "Equações de quarta ordem na modelagem de oscilações de pontes." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-07072016-165823/.

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Equações diferenciais de quarta ordem aparecem naturalmente na modelagem de oscilações de estruturas elásticas, como aquelas observadas em pontes pênseis. São considerados dois modelos que descrevem as oscilações no tabuleiro de uma ponte. No modelo unidimensional estudamos blow up em espaço finito de soluções de uma classe de equações diferenciais de quarta ordem. Os resultados apresentados solucionam uma conjectura apresentada em [F. Gazzola and R. Pavani. Wide oscillation finite time blow up for solutions to nonlinear fourth order differential equations. Arch. Ration. Mech. Anal., 207(2):717752, 2013] e implicam a não existência de ondas viajantes com baixa velocidade de propagação em uma viga. No modelo bidimensional analisamos uma equação não local para uma placa longa e fina, suportada nas extremidades menores, livre nas demais e sujeita a protensão. Provamos existência e unicidade de solução fraca e estudamos o seu comportamento assintótico sob amortecimento viscoso. Estudamos ainda a estabilidade de modos simples de oscilação, os quais são classificados como longitudinais ou torcionais.
Fourth order differential equations appear naturally when modeling oscillations in elastic structures such as those observed in suspension bridges. Two models describing oscillations in the roadway of a bridge are considered. In the one-dimensional model we study finite space blow up of solutions for a class of fourth order differential equations. The results answer a conjecture presented in [F. Gazzola and R. Pavani. Wide oscillation finite time blow up for solutions to nonlinear fourth order differential equations. Arch. Ration. Mech. Anal., 207(2):717752, 2013] and imply the nonexistence of beam oscillation given by traveling wave profile with low speed propagation. In the two-dimensional model we analyze a nonlocal equation for a thin narrow prestressed rectangular plate where the two short edges are hinged and the two long edges are free. We prove existence and uniqueness of weak solution and we study its asymptotic behavior under viscous damping. We also study the stability of simple modes of oscillations which are classified as longitudinal or torsional.
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Nguyen, Thi Tuyen. "Comportement en temps long des solutions de quelques équations de Hamilton-Jacobi du premier et second ordre, locales et non-locales, dans des cas non-périodiques." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S089/document.

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La motivation principale de cette thèse est l'étude du comportement en temps grand des solutions non-bornées d'équations de Hamilton-Jacobi visqueuses dans RN en présence d'un terme d'Ornstein-Uhlenbeck. Nous considérons la même question dans le cas d'une équation de Hamilton-Jacobi du premier ordre. Dans le premier cas, qui constitue le cœur de la thèse, nous généralisons les résultats de Fujita, Ishii et Loreti (2006) dans plusieurs directions. La première est de considérer des opérateurs de diffusion plus généraux en remplaçant le Laplacien par une matrice de diffusion quelconque. Nous considérons ensuite des opérateurs non-locaux intégro-différentiels de type Laplacien fractionnaire. Le second type d'extension concerne le Hamiltonien qui peut dépendre de x et est seulement supposé sous-linéaire par rapport au gradient
The main aim of this thesis is to study large time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN in presence of an Ornstein-Uhlenbeck drift. We also consider the same issue for a first order Hamilton-Jacobi equation. In the first case, which is the core of the thesis, we generalize the results obtained by Fujita, Ishii and Loreti (2006) in several directions. The first one is to consider more general operators. We first replace the Laplacian by a general diffusion matrix and then consider a non-local integro-differential operator of fractional Laplacian type. The second kind of extension is to deal with more general Hamiltonians which are merely sublinear
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Books on the topic "Nonlocal order"

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Boyd, John P. Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5.

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Boyd, J. P. Weakly nonlocal solitary waves and beyond-all-orders asymptotics: Generalized solitons and hyperasymptotic perturbation theory. Dordrecht: Kluwer Academic Publishers, 1998.

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Boyd, John P. Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics: Generalized Solitons and Hyperasymptotic Perturbation Theory. Boston, MA: Springer US, 1998.

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Ahmad, Bashir, and Sotiris Ntouyas. Nonlocal Nonlinear Fractional-Order Boundary Value Problems. World Scientific Publishing Co Pte Ltd, 2021.

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Mashhoon, Bahram. Linearized Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0007.

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The only known exact solution of the field equation of nonlocal gravity (NLG) is the trivial solution involving Minkowski spacetime that indicates the absence of a gravitational field. Therefore, this chapter is devoted to a thorough examination of NLG in the linear approximation beyond Minkowski spacetime. Moreover, the solutions of the linearized field equation of NLG are discussed in detail. We adopt the view that the kernel of the theory must be determined from observation. In the Newtonian regime of NLG, we recover the phenomenological Tohline-Kuhn approach to modified gravity. A simple generalization of the Kuhn kernel leads to a three-parameter modified Newtonian force law that is always attractive. Gravitational lensing is discussed. It is shown that nonlocal gravity (NLG), with a characteristic galactic lengthscale of order 1 kpc, simulates dark matter in the linear regime while preserving causality.
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Mashhoon, Bahram. Linearized Gravitational Waves in Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0009.

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Gravitational radiation is investigated within the framework of linearized nonlocal gravity. In this theory, linearized gravitational waves are damped as they travel from the source to the receiver. This gravitational memory drag leads to the exponential decay of the wave amplitude. The damping effect could be significant for waves with very long wavelegths comparable to galactic distances. More generally, for gravitational waves with wavelengths comparable to the basic nonlocality lengthscale of order 1 kpc, the nonlocal deviations from general relativity can be significant. However, gravitational waves of current observational interest have wavelengths that are very small in comparison with 1 kpc; in this case, the nonlocal deviations from general relativity essentially average out and can be safely neglected in practice.
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Boyd, John P. Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics: Generalized Solitons and Hyperasymptotic Perturbation Theory. Springer, 2011.

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Frattarola, Angela. Modernist Soundscapes. University Press of Florida, 2018. http://dx.doi.org/10.5744/florida/9780813056074.001.0001.

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Modernist Soundscapes questions how early twentieth-century auditory technologies altered sound perception, and how these developments shaped the modernist novel. As the phonograph, telephone, talkie, and radio created new paths for connectivity and intimacy, modernist writers such as Dorothy Richardson and Virginia Woolf were crafting characters intimately connected by the prosody of voice, music, and the soundscape. As headphones piped nonlocal sounds into a listener’s headspace, Jean Rhys and James Joyce were creating interior monologues that were shaped by cosmopolitan and bohemian sounds. As the phonograph and tape recorder aestheticized noise through mechanical reproduction, Virginia Woolf and Samuel Beckett were deploying onomatopoeia and repetition to aestheticize words and make them sound out. Modernist Soundscapes encourages us to listen to these auditory narratives in order to grasp how the formal and linguistic experiments we have come to associate with modernism are partially a consequence of this historical attentiveness to sound. This heightened awareness of audition coincided with an emerging skepticism toward vision. Indeed, modernist writers turned to sound perception as a way to complicate the dominance of vision—a sensibility rooted in Greek philosophy that equated seeing with knowledge and truth. Without polarizing vision and audition, this book reveals how modernists tend to use auditory perception to connect characters, shifting the subject from a distanced, judgmental observer to a reverberating body, attuned to the moment.
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Horing, Norman J. Morgenstern. Interacting Electron–Hole–Phonon System. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0011.

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Chapter 11 employs variational differential techniques and the Schwinger Action Principle to derive coupled-field Green’s function equations for a multi-component system, modeled as an interacting electron-hole-phonon system. The coupled Fermion Green’s function equations involve five interactions (electron-electron, hole-hole, electron-hole, electron-phonon, and hole-phonon). Starting with quantum Hamilton equations of motion for the various electron/hole creation/annihilation operators and their nonequilibrium average/expectation values, variational differentiation with respect to particle sources leads to a chain of coupled Green’s function equations involving differing species of Green’s functions. For example, the 1-electron Green’s function equation is coupled to the 2-electron Green’s function (as earlier), also to the 1-electron/1-hole Green’s function, and to the Green’s function for 1-electron propagation influenced by a nontrivial phonon field. Similar remarks apply to the 1-hole Green’s function equation, and all others. Higher order Green’s function equations are derived by further variational differentiation with respect to sources, yielding additional couplings. Chapter 11 also introduces the 1-phonon Green’s function, emphasizing the role of electron coupling in phonon propagation, leading to dynamic, nonlocal electron screening of the phonon spectrum and hybridization of the ion and electron plasmons, a Bohm-Staver phonon mode, and the Kohn anomaly. Furthermore, the single-electron Green’s function with only phonon coupling can be rewritten, as usual, coupled to the 2-electron Green’s function with an effective time-dependent electron-electron interaction potential mediated by the 1-phonon Green’s function, leading to the polaron as an electron propagating jointly with its induced lattice polarization. An alternative formulation of the coupled Green’s function equations for the electron-hole-phonon model is applied in the development of a generalized shielded potential approximation, analysing its inverse dielectric screening response function and associated hybridized collective modes. A brief discussion of the (theoretical) origin of the exciton-plasmon interaction follows.
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Book chapters on the topic "Nonlocal order"

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Rabczuk, Timon, Huilong Ren, and Xiaoying Zhuang. "First-Order Nonlocal Operator Method." In Computational Methods Based on Peridynamics and Nonlocal Operators, 67–97. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-20906-2_3.

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Rabczuk, Timon, Huilong Ren, and Xiaoying Zhuang. "Higher Order Nonlocal Operator Method." In Computational Methods Based on Peridynamics and Nonlocal Operators, 123–56. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-20906-2_5.

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Zhang, Zhitao. "Nonlocal Kirchhoff Elliptic Problems." In Variational, Topological, and Partial Order Methods with Their Applications, 271–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30709-6_10.

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Boyd, John P. "Water Waves: Fifth-Order Korteweg-Devries Equation." In Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics, 243–78. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5_10.

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Rabczuk, Timon, Huilong Ren, and Xiaoying Zhuang. "A Nonlocal Operator Method for Finite Deformation Higher-Order Gradient Elasticity." In Computational Methods Based on Peridynamics and Nonlocal Operators, 271–301. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-20906-2_10.

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Assanova, Anar T., Aziza D. Abildayeva, and Agila B. Tleulessova. "Nonlocal Problems for the Fourth Order Impulsive Partial Differential Equations." In Differential and Difference Equations with Applications, 81–94. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56323-3_7.

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Zima, Mirosława. "Positive Solutions for a Nonlocal Resonant Problem of First Order." In Trends in Mathematics, 203–14. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72640-3_14.

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Zhou, Changxiong, Shufen Lui, Tingqin Yan, and Wenlin Tao. "Noise Removal Using Fourth Order PDEs Based on Nonlocal Derivative." In Intelligent Computing Theory, 675–83. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09333-8_73.

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Cheremshantsev, S. E., and K. A. Makarov. "Point Interactions with an Internal Structure as Limits of Nonlocal Separable Potentials." In Order,Disorder and Chaos in Quantum Systems, 179–82. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7306-2_17.

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Boyd, John P. "Envelope Solitary Waves: Third Order Nonlinear Schroedinger Equation and the Klein-Gordon Equation." In Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics, 325–65. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5_13.

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Conference papers on the topic "Nonlocal order"

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Mishra, M., S. K. Kajala, M. Sharma, B. Singh, and S. Jana. "Stabilizing the Optical Beam in Higher-order Nonlocal Nonlinear Media." In Frontiers in Optics. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/fio.2022.jtu5a.42.

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Abstract:
This article presents a stability analysis of optical beam propagation through a medium possessing higher-order nonlocal nonlinearity. The zones corresponding to stable beam propagation have been identified in terms of material properties and beam regulating factors.
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Maucher, F., E. Siminos, W. Krolikowski, and S. Skupin. "Quasi-periodic shape-transformations of nonlocal higher-order solitons." In 2013 IEEE 2nd International Workshop "Nonlinear Photonics" (NLP). IEEE, 2013. http://dx.doi.org/10.1109/nlp.2013.6646371.

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Mesloub, Said, and Azhar Al-Hammali. "On a coupled fourth order thermoelastic system with nonlocal constraints." In 2011 Fourth International Conference on Modeling, Simulation and Applied Optimization (ICMSAO). IEEE, 2011. http://dx.doi.org/10.1109/icmsao.2011.5775514.

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Chen, Xiang, Wenjun Xia, Yan Liu, Hu Chen, Jiliu Zhou, and Yi Zhang. "Fourth- Order Nonlocal Tensor Decomposition Model For Spectral Computed Tomography." In 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI). IEEE, 2021. http://dx.doi.org/10.1109/isbi48211.2021.9433792.

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Zhang, Jinwei, Yefan Cai, and Xiangyang Yu. "Nonlocal Fractional-Order Diffusion for Denoising in Speckle Interferometry Fringes." In CLEO: Applications and Technology. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/cleo_at.2016.atu4j.2.

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Ospanov, Kordan N. "Nonlocal estimates for solutions of a singular higher order differential equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959647.

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Popov, Nikolay S. "Nonlocal integro-differential boundary value problems for the third-order equations." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING: Dedicated to the 75th Anniversary of Professor V.N. Vragov. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042873.

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Ashyralyev, Allaberen, and Sinem Nur Simsek. "Nonlocal boundary value problems for a third order partial differential equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4893839.

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Rui, Wang, You Yanan, and Zhou wenli. "Interferometric Phase Stack Denoiseing Via Nonlocal Higher Order Robust PCA Method." In IGARSS 2019 - 2019 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2019. http://dx.doi.org/10.1109/igarss.2019.8900070.

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Ashyralyev, Allaberen, and Kheireddine Belakroum. "Numerical study of nonlocal BVP for a third order partial differential equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040592.

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