Academic literature on the topic 'Numerical Exploration'

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Journal articles on the topic "Numerical Exploration"

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Papadakis, K. E. "Numerical Exploration of Chermnykh’s Problem." Astrophysics and Space Science 299, no. 1 (2005): 67–81. http://dx.doi.org/10.1007/s10509-005-3070-x.

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Sicardy, Bruno. "Numerical exploration of planetary arc dynamics." Icarus 89, no. 2 (1991): 197–219. http://dx.doi.org/10.1016/0019-1035(91)90174-r.

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LAFITTE, P., and C. MASCIA. "NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION." Mathematical Models and Methods in Applied Sciences 22, no. 06 (2012): 1250004. http://dx.doi.org/10.1142/s0218202512500042.

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We analyze numerically a forward–backward diffusion equation with a cubic-like diffusion function — emerging in the framework of phase transitions modeling — and its "entropy" formulation determined by considering it as the singular limit of a third-order pseudo-parabolic equation. Precisely, we propose schemes for both the second- and the third-order equations, we discuss the analytical properties of their semi-discrete counterparts and we compare the numerical results in the case of initial data of Riemann type, showing strengths and flaws of the two approaches, the main emphasis being given to the propagation of transition interfaces.
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Saha, S., and D. Chakraborty. "Numerical exploration of starting process in supersonic nozzle." Aeronautical Journal 111, no. 1115 (2007): 51–58. http://dx.doi.org/10.1017/s0001924000001755.

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Abstract The starting process in a supersonic nozzle is numerically simulated. The Navier Stokes equations, in axisymmetric form, are solved using a higher order spatial and temporal accurate scheme. Good comparisons between experimental and numerical values of various flow parameters form the basis of further analysis. The insight of the starting process in the nozzle, namely, the movement of primary and secondary shocks and contact discontinuity, has been obtained through analysis of various flow parameters. It has been observed that the inviscid phenomenon is more predominant in the flow development process. Parametric studies have been carried out to determine the effect of nozzle divergence angle on the starting process.
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Verheylewegen, E., B. Noyelles, and A. Lemaitre. "A numerical exploration of Miranda's dynamical history." Monthly Notices of the Royal Astronomical Society 435, no. 2 (2013): 1776–87. http://dx.doi.org/10.1093/mnras/stt1415.

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Dossal, Charles, Gabriel Peyré, and Jalal Fadili. "A numerical exploration of compressed sampling recovery." Linear Algebra and its Applications 432, no. 7 (2010): 1663–79. http://dx.doi.org/10.1016/j.laa.2009.11.022.

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Fetter, Hans L. "Numerical exploration of a hexagonal string billiard." Physica D: Nonlinear Phenomena 241, no. 8 (2012): 830–46. http://dx.doi.org/10.1016/j.physd.2012.01.009.

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Barrabés, E., J. M. Cors, and G. R. Hall. "Numerical Exploration of the Limit Ring Problem." Qualitative Theory of Dynamical Systems 12, no. 1 (2012): 25–52. http://dx.doi.org/10.1007/s12346-012-0082-0.

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FITZPATRICK, BEN G. "NUMERICAL ANALYSIS AND SIMULATION OF RESOURCE-EXPLORATION MODELS." Natural Resource Modeling 18, no. 3 (2008): 261–79. http://dx.doi.org/10.1111/j.1939-7445.2005.tb00158.x.

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Dharavath, Malsur, P. Manna, and Debasis Chakraborty. "Numerical exploration of dissimilar supersonic coaxial jets mixing." Acta Astronautica 111 (June 2015): 308–16. http://dx.doi.org/10.1016/j.actaastro.2015.03.001.

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Dissertations / Theses on the topic "Numerical Exploration"

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Sjöström, Stina. "Numerical exploration of radiative-dynamic interactions in cirrus." Thesis, Uppsala University, Department of Earth Sciences, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8201.

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<p>An important factor in forecast models today is cirrus clouds, but not much are known about their dynamics which makes them hard to parameterize. In this study a new theory was derived to enable a more correct way to describe the interplay between radiative heating and dynamical motions in these clouds. This hypothesis was tested by performing three dimensional simulations of cirrus clouds, using the University of Utah Large Eddy Simulator (UULES). Eleven clouds of varying initial radius and ice water mixing ratio were examined, with the aim of finding a pattern in their dynamical features. The model was set up without short wave radiation from the sun, and without any precipitation affecting the clouds, leaving only terrestrial heating and atmospheric cooling to create motions in the clouds. Two categories of initial dynamics could be seen:</p><p>• Isentropic adjustment: The isentropes within the cloud are adjusting to the environment due to rising of the cloud. Causes horizontal spreading through continuity.</p><p>• Density current: A dominating initial feature is spreading in small mixed layers at the cloud top and bottom. Caused by the density difference between the cloud and its environment.</p><p>An interesting phenomenon showing up in the simulations was mammatus clouds, which were visible in two of the cases. The only instability available to create these clouds was the radiative heating difference, which does not agree with present theories for how they form.</p><p>Two dimensionless numbers S and C were derived to describe the nature of the spreading motions and convection in the cloud. Both these numbers agreed with results.</p><br><p>Cirrusmoln har en viktig roll i dagens prognosmodeller, men är svåra att parametrisera på ett bra sätt eftersom man inte har tillräcklig kunskap om deras dynamik och utveckling. I denna studie togs en ny teori fram för att göra det möjligt att på ett mer korrekt sätt beskriva samspelet mellan strålningsuppvärmning och dynamiska rörelser i dessa moln. Hypotesen testades sedan genom att utföra tredimensionella simuleringar av cirrus moln med hjälp av University of Utah Large Eddy Simulator (UULES). Elva moln med varierande initiella radier och isvatteninnehåll undersöktes, med målet att finna ett mönster i dynamik och utveckling. UULES ställdes in så att miljön där molnen simulerades varken innehöll kortvågsstrålning från solen eller nederbörd. Således fanns det bara en resterande faktor för att skapa rörelser i molnen; skillnaden i den infraröda strålningsuppvärmningen mellan molntopp och molnbas. Två kategorier av initiella rörelser uppstod i molnen:</p><p>• Justering av isotroper: Molnen stiger i höjd vilket gör att isotroperna inuti dem justeras till omgivningen. Detta orsakar horisontell spridning genom kontinuitet.</p><p>• Densitets ström: Horisontell spridning av molnen koncentrerad till mixade skikt i de övre och undre delarna. Orsakas av skillnad i densitet mellan moln och omgivning.</p><p>Ett intressant fenomen som visade sig i två av simuleringarna var mammatusmoln. Den enda instabiliteten tillgänglig för att skapa dessa moln var skillnaden i strålningsuppvärmning mellan molntopp och -bas. Detta stämmer inte överrens med nuvarande teorier för hur dessa moln skapas.</p><p>Två dimensionslösa tal, S och C togs fram för att indikera vilken av de initiella rörelserna som dominerar i molnet, samt vilken typ av konvektion som dominerar. Båda dessa tal stämde väl överrens med resultat.</p>
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Kyriakopoulos, Nikos. "Unbounded orbits in almost circularouter billiards: A numerical exploration." Thesis, Uppsala universitet, Analys och tillämpad matematik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-197508.

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Kildal, Johan. "Developing an interactive overview for non-visual exploration of tabular numerical information." Thesis, University of Glasgow, 2009. http://theses.gla.ac.uk/626/.

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This thesis investigates the problem of obtaining overview information from complex tabular numerical data sets non-visually. Blind and visually impaired people need to access and analyse numerical data, both in education and in professional occupations. Obtaining an overview is a necessary first step in data analysis, for which current non-visual data accessibility methods offer little support. This thesis describes a new interactive parametric sonification technique called High-Density Sonification (HDS), which facilitates the process of extracting overview information from the data easily and efficiently by rendering multiple data points as single auditory events. Beyond obtaining an overview of the data, experimental studies showed that the capabilities of human auditory perception and cognition to extract meaning from HDS representations could be used to reliably estimate relative arithmetic mean values within large tabular data sets. Following a user-centred design methodology, HDS was implemented as the primary form of overview information display in a multimodal interface called TableVis. This interface supports the active process of interactive data exploration non-visually, making use of proprioception to maintain contextual information during exploration (non-visual focus+context), vibrotactile data annotations (EMA-Tactons) that can be used as external memory aids to prevent high mental workload levels, and speech synthesis to access detailed information on demand. A series of empirical studies was conducted to quantify the performance attained in the exploration of tabular data sets for overview information using TableVis. This was done by comparing HDS with the main current non-visual accessibility technique (speech synthesis), and by quantifying the effect of different sizes of data sets on user performance, which showed that HDS resulted in better performance than speech, and that this performance was not heavily dependent on the size of the data set. In addition, levels of subjective workload during exploration tasks using TableVis were investigated, resulting in the proposal of EMA-Tactons, vibrotactile annotations that the user can add to the data in order to prevent working memory saturation in the most demanding data exploration scenarios. An experimental evaluation found that EMA-Tactons significantly reduced mental workload in data exploration tasks. Thus, the work described in this thesis provides a basis for the interactive non-visual exploration of a broad range of sizes of numerical data tables by offering techniques to extract overview information quickly, performing perceptual estimations of data descriptors (relative arithmetic mean) and managing demands on mental workload through vibrotactile data annotations, while seamlessly linking with explorations at different levels of detail and preserving spatial data representation metaphors to support collaboration with sighted users.
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Zhang, Ying. "Numerical and experimental exploration of the contour method for residual stress evaluation." Thesis, Open University, 2004. http://oro.open.ac.uk/54620/.

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This thesis comprehensively investigates the contour method - a newly-invented destructive technique for residual stress evaluation - in terms of its principle and application. The principle of the contour method is based on a variation of Bueckner's elastic superposition theory. A two-dimensional map of residual stress profile normal to a plane of interest can be determined in a simple, cheap and time-efficient manner. In practice,residual stress evaluation using the contour method involves the experimental measurement of the displacement formed by the stress release following a cut on the surface at issue, and then numerical calculation of the residual stress based on the experimentally measured displacement. The whole process of the contour-method measurement was simulated using a finite element method and the simulated result confirms the correctness of the novel technique. A number of different applications have been explored using the contour method to measure a cross-sectional residual stress distribution: a hole cold expansion EN8 steelplate, a hole cold expansion 7475-T7351 aluminium alloy plate, a MIG 2024-T351 aluminium alloy welded plate and a VPPA 2024-T351 aluminium alloy welded plate. Favourably good outcomes were obtained from each case. The most impressive comparison of the contour-method result was made on the VPPA 2024-T351 weld with neutron and synchrotron X-ray diffraction measurements, showing an extremely good match with deviation approximately 9 % on average. This work has proved that the contour method is a powerful novel technique to determine across-sectional residual stress profile with accuracy in many engineering components, and has great prospects to find application elsewhere.
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Ahmed, Mohammad Ozair. "An exploration of compact finite difference methods for the numerical solution of PDE." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq28470.pdf.

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Pirttijärvi, M. (Markku). "Numerical modeling and inversion of geophysical electromagnetic measurements using a thin plate model." Doctoral thesis, University of Oulu, 2003. http://urn.fi/urn:isbn:951427119X.

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Abstract The thesis deals with numerical methods designed for the modeling and inversion of geophysical electromagnetic (EM) measurements using a conductive thin plate model. The main objectives are to study the EM induction problem in general and to develop practical interpretation tools for mineral prospecting in particular. The starting point is a linearized inversion method based on the singular value decomposition and a new adaptive damping method. The inversion method is introduced to the interpretation of time-domain EM (TEM) measurements using a thin plate in free-space. The central part of the thesis is a new approximate modeling method, which is based on an integral equation approach and a special lattice model. At first the modeling method is applied to the interpretation of frequency-domain EM (FEM) data using a thin plate in conductive two-layered earth. After this time-domain responses are modeled applying a Fourier-sine transform of broadband FEM computations. The results demonstrate that the approximate computational method can model the geophysical frequency and time-domain EM responses of a thin conductor in conductive host medium with sufficient accuracy, and that the inversion method can provide reliable estimates for the model parameters. The fast forward computation enables interactive interpretation of FEM data and feasible forward modeling of TEM responses. The misfit function mapping and analysis of the singular value decomposition have provided additional information about the sensitivity, resolution, and the correlation behavior of the thin plate parameters.
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Chan, Ka-ho, and 陳嘉豪. "Numerical exploration of the probability of capture into the 3:1 mean motion resonance." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B4979971X.

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Mean-motion resonances (MMR) are frequently observed in extrasolar planetary systems. It is generally believed that the resonances result from the convergent migration of planets. The much larger number of systems near the 2:1 resonance compared to 3:1 resonance in both the radial velocity and the Kepler data is probably due to the difference in the capture behaviors of 2:1 and 3:1 resonances. To study the capture probability of the 3:1 resonance, numerical three-body integrations with forced migration have been used to examine the dependence of the capture probability on migration rate, planetary masses, and initial orbital eccentricities. First, the numerical results have been confirmed with analytic theory in the adiabatic limit (Borderies & Goldreich 1984) and numerical results of the Hamiltonian model beyond this limit (Mustill & Wyatt 2011) for both the interior and exterior resonances in the circular restricted three-body problem. Then, the numerical exploration of the restricted three-body problem (R3BP) has been extended to cases with non-zero planet eccentricity in the adiabatic limit. The capture probability decreases with increasing planet eccentricity at small test particle eccentricity but does not depend strongly on the planet eccentricity at large test particle eccentricity. Interestingly, the critical eccentricity of the planet, below which resonance capture is certain, is much larger than the critical eccentricity of test particle which was not expected. Finally, the numerical exploration has been extended to situations with different planetary mass ratio m1/m2. In the cases where both planets are initially on circular orbits, the critical migration rate for certain capture agrees with that of Quillen (2006) in the R3BP. However, it does not change monotonically with m1/m2 and peaks at m1/m2 = 1. For m1/m2 = 1, the resonance capture is certain when the eccentricities of the inner and outer planets are small and decreases as the eccentricities increase. In contrast, the capture probability is low when the eccentricities are small and the capture probability peaks at certain values of the eccentricities in the non-adiabatic limits. The capture probability as a function of planet eccentricities for mass ratios m1/m2 = 0.5 and 2 in the adiabatic limit has also been studied. The capture probability at m1/m2 = 2 shows similar behaviors with m1/m2 = 1 but the capture behaviors at m1/m2 = 0.5 are significantly different from the capture behaviors at m1/m2 = 1. This research has explored the probability of resonant capture in several new regimes, including the elliptical restricted three-body problem, comparable mass cases in the adiabatic limit and the equal mass case in the non-adiabatic limits. This work enhances our knowledge in the capture behaviors of 3:1 MMR in different limits and is useful in the future studies of the period ratio distribution in extrasolar planet systems.<br>published_or_final_version<br>Physics<br>Master<br>Master of Philosophy
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Koldan, Jelena. "Numerical solution of 3-D electromagnetic problems in exploration geophysics and its implementation on massively parallel computers." Doctoral thesis, Universitat Politècnica de Catalunya, 2013. http://hdl.handle.net/10803/130833.

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The growing significance, technical development and employment of electromagnetic (EM) methods in exploration geophysics have led to the increasing need for reliable and fast techniques of interpretation of 3-D EM data sets acquired in complex geological environments. The first and most important step to creating an inversion method is the development of a solver for the forward problem. In order to create an efficient, reliable and practical 3-D EM inversion, it is necessary to have a 3-D EM modelling code that is highly accurate, robust and very fast. This thesis focuses precisely on this crucial and very demanding step to building a 3-D EM interpretation method. The thesis presents as its main contribution a highly accurate, robust, very fast and extremely scalable numerical method for 3-D EM modelling in geophysics that is based on finite elements (FE) and designed to run on massively parallel computing platforms. Thanks to the fact that the FE approach supports completely unstructured tetrahedral meshes as well as local mesh refinements, the presented solver is able to represent complex geometries of subsurface structures very precisely and thus improve the solution accuracy and avoid misleading artefacts in images. Consequently, it can be successfully used in geological environments of arbitrary geometrical complexities. The parallel implementation of the method, which is based on the domain decomposition and a hybrid MPI-OpenMP scheme, has proved to be highly scalable - the achieved speed-up is close to the linear for more than a thousand processors. Thanks to this, the code is able to deal with extremely large problems, which may have hundreds of millions of degrees of freedom, in a very efficient way. The importance of having this forward-problem solver lies in the fact that it is now possible to create a 3-D EM inversion that can deal with data obtained in extremely complex geological environments in a way that is realistic for practical use in industry. So far, such imaging tool has not been proposed due to a lack of efficient, parallel FE solutions as well as the limitations of efficient solvers based on finite differences. In addition, the thesis discusses physical, mathematical and numerical aspects and challenges of 3-D EM modelling, which have been studied during my research in order to properly design the presented software for EM field simulations on 3-D areas of the Earth. Through this work, a physical problem formulation based on the secondary Coulomb-gauged EM potentials has been validated, proving that it can be successfully used with the standard nodal FE method to give highly accurate numerical solutions. Also, this work has shown that Krylov subspace iterative methods are the best solution for solving linear systems that arise after FE discretisation of the problem under consideration. More precisely, it has been discovered empirically that the best iterative method for this kind of problems is biconjugate gradient stabilised with an elaborate preconditioner. Since most commonly used preconditioners proved to be either unable to improve the convergence of the implemented solvers to the desired extent, or impractical in the parallel context, I have proposed a preconditioning technique for Krylov methods that is based on algebraic multigrid. Tests for various problems with different conductivity structures and characteristics have shown that the new preconditioner greatly improves the convergence of different Krylov subspace methods, which significantly reduces the total execution time of the program and improves the solution quality. Furthermore, the preconditioner is very practical for parallel implementation. Finally, it has been concluded that there are not any restrictions in employing classical parallel programming models, MPI and OpenMP, for parallelisation of the presented FE solver. Moreover, they have proved to be enough to provide an excellent scalability for it.
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Letort, Gaelle. "Exploration par simulations numériques de l'auto-organisation du cytosquelette sous conditions géométriquement contrôlées." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAS048/document.

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Le cytosquelette joue un rôle essentiel dans de nombreux processus cellulaires (division, adhésion, migration, morphogenèse..). Un de ses principaux constituants, les filaments d'actine, des polymères semi flexibles polarisés, forme des réseaux dont les architectures spécifiques permettent au cytosquelette de réaliser ses fonctions physiologiques. Un enjeu majeur en biologie cellulaire est de comprendre comment les cellules peuvent former une telle variété d'organisations à partir de la même entité de base, les monomères d'actine. Nous avons découvert récemment que limiter la nucléation des filaments d'actine à des géométries définies suffit à contrôler la formation de différentes organisations (Reymann et al, 2010). Néanmoins, les paramètres principaux permettant d'expliquer comment ces contraintes géométriques déterminent l'organisation collective des filaments n'ont pas été identifiés. Pour comprendre les lois physiques régissant ce phénomène, j'ai développé des simulations numériques du système expérimental en utilisant le logiciel Cytosim. J'ai pu ainsi montrer que la géométrie, les interactions stériques entre filaments, leurs propriétés mécaniques, et l'efficacité de la nucléation sont les paramètres clés contrôlant la formation de structures. Cette étude propose une base solide pour comprendre l'organisation cellulaire de l'actine en identifiant un système minimal de composants suffisant pour simuler l'émergence de différentes organisations d'actine (réseau branché, faisceaux de filaments parallèles ou antiparallèles). Avec cet outil, nous pouvons à présent prédire, étant donnée une géométrie de nucléation, quelles structures en émergeront.Nous avons alors combiné nos deux méthodes in-vitro et in-silico pour étudier comment le couplage entre l'architecture des réseaux et leur composition biochimique contrôle la réponse contractile. La connectivité entre les filaments en est un facteur crucial. En effet, un réseau peu connecté se déforme seulement localement, et n'instaure pas de comportement global. Une structure fortement connectée est très rigide, les moteurs moléculaires ne peuvent donc pas la déformer efficacement. La contraction d'une structure n'est donc possible que pour des valeurs de connectivité intermédiaires. L'amplitude de cette contraction est alors déterminée par l'organisation des filaments. Ainsi nous avons pu expliquer comment l'architecture mais aussi la connectivité des réseaux gouverne leur contractilité.Finalement, les microtubules sont aussi des acteurs essentiels aux processus cellulaires. Étant longs et rigides, ils servent de senseurs de la forme cellulaire et organisent les organites. Leur distribution spatiale, facteur majeur pour l'organisation cellulaire, est contrôlée dans un grand nombre de types cellulaires par la position du centrosome, un organite qui nuclée la plupart des microtubules. La capacité du centrosome à trouver le centre de la cellule dans de nombreuses conditions physiologiques est particulièrement étonante. Il peut aussi adopter une position décentrée lors de processus cellulaires spécifiques. Des mécanismes pouvant potentiellement expliquer le positionnement du centrosome ont été proposés (Manneville et al., 2006; Zhu et al, 2010), mais ce phénomène reste dans sa plus grande partie inexpliqué. J'ai utilisé les simulations pour explorer différents mécanismes pouvant le contrôler selon différentes conditions. Ces résultats permettent de disposer d'une base théorique pour présumer des mécanismes intervenant dans un système donné. Ils peuvent aussi permettre de valider ou réfuter des hypothèses sur les phénomènes mis en jeu et aider à l'élaboration de nouveaux systèmes expérimentaux.Les simulations que j'ai développées aident ici à étudier des comportements spécifiques, en apportant de nouveaux éclairages sur les comportements collectifs du cytosquelette. Elles pourraient être utilisées comme un outil prédictif ou adaptées pour l'étude d'autres systèmes expérimentaux<br>The cytoskeleton plays a crucial role in cellular processes, including cell division, adhesion, migration and morphogenesis. One of its main compenent, the actin filaments, a polarised semi-flexible polymer, contributes to these processes by forming specific collective architectures, whose structural organisations are essential to perform their functions. A major challenge in cell biology is to understand how the cell can form such a variety of organisations by using the same basic entity, the actin monomers. Recently we discovered that limiting actin nucleation to specific regions was sufficient to obtain actin networks with different organization (Reymann et al., 2010). However, our understanding of the general parameters involved in geometrically-driven actin assembly was limited. To understand mechanistically how spatially constraining actin nucleation determines the emergent actin organization, I performed detailed simulations of the actin filament system using Cytosim, a simulation tool dedicated to cytoskeleton system. I found that geometry, actin filaments local interactions, bundle rigidity, and nucleation efficiency are the key parameters controlling the emergent actin architecture. This study sets the foundation for our understanding of actin cellular organization by identifying a reduced set of components that were sufficient to realistically reproduce in silico the emergence of the different types of actin organization (branched actin network, parallel or anti parallel actin bundles). We can now predict for any given nucleation geometry which structures will form.Being able to control the formation of specific structures in-vitro and in-silico, we used the combination of both methods to study how the interplay between actin network architecture and its biochemical composition affects its contractile response. We highlighted the importance of the connectivity between filaments in the structures. Indeed, a loosely connected network cannot have a global behavior, but undergoes only local deformations. A highly connected network will be too rigid to be efficiently deformed by molecular motors. Only for an intermediate range of network connectivity the structures will contract, with an amplitude that depends notably on actin filaments organisation. This work explains how architecture and connectivity govern actin network contractility.Finally, the microtubules are also essential actors of cellular processes. Being long and rigid, they serve as sensors of the cellular shape and can organize the position of organelles in the cytoplasm. Their spatial distribution in the cell is thus a crucial cellular feature. this distribution is determined in a vast number of cell types by the position of the centrosome, an organelle that nucleates the majority of microtubules. Quite strinkingly, the centrosome is able to find the center of the cell in a lot of different physiological conditions, but can nonetheless adopt a decentered position in specific cellular processes. How this positioning is controled is not yet fully understood, but a few potential mechanims have been proposed (Manneville et al., 2006; Zhu et al., 2010). I used the simulations to explore different mechanisms taht can explain the position of the centrosome under different conditions. These results offer theorical considerations as a basis to assess which mechanism might prevail in a specific experimental system and may help to design new experimental setups.The simulations that I developed helped to study some specific behavior, by giving new insights into cytoskeleton collective organisations. These simulations can be further used as predictive tool or adapted to other experimental systems
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Lafitte-Godillon, Pauline. "Exploration numérique de comportements asymptotiques pour des équations de transport-diffusion." Habilitation à diriger des recherches, Université des Sciences et Technologie de Lille - Lille I, 2010. http://tel.archives-ouvertes.fr/tel-00768679.

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Mon travail de recherche a couvert ces dernières années un spectre assez large de modélisation, analyse numérique et simulation pour des problèmes physiques et biologiques, de la mécanique à l'échelle moléculaire ou particulaire, niveau dit " microscopique ", à la diffusion non-linéaire, niveau " macroscopique ", en passant par des équations cinétiques décrivant la distribution en vitesse de particules, niveau " mésoscopique ". Le point commun de ces travaux est l'étude de comportements asymptotiques et la recherche d'explications de phénomènes observables macroscopiques par des descriptions micro ou mésoscopiques à l'aide d'outils numériques. Les applications auxquelles on s'intéresse ici sont, pour la partie physique, liées à la thermodynamique couplée ou non avec du transfert radiatif ou une dynamique particulaire raréfiée et, pour la partie biologie-chimie, à des problèmes de propagation d'information par des mécanismes de transport ou de diffusion, ainsi qu'à la recherche de formation de motifs et à l'étude d'extinction de populations. Les équations aux dérivées partielles étudiées proviennent de modèles déterministes ou probabilistes et se classent dans les catégories de transport et de diffusion évolutifs. L'apparition, lors de l'adimensionnement des problèmes, de petits paramètres qui augmentent l'influence de certains des phénomènes caractéristiques dans la solution peut entraîner des difficultés importantes lors du traitement numérique, ce qui impose le recours à des solutions nouvelles permettant de recouvrer au minimum le comportement macroscopique prédit par les observations et par l'analyse mathématique.
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Books on the topic "Numerical Exploration"

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Chowdhury, Sujaul, and Urmi Talukder. Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-53816-2.

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Chowdhury, Sujaul, and Abdullah Al Sakib. Numerical Exploration of Fourier Transform and Fourier Series. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-34664-4.

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Keavey, M. A. Numerical methods in aerospace: Civil aviation and space exploration. Emerald Group, 2004.

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author, Webster Micah D., ed. Differential equations with MATLAB: Exploration, applications, and theory. CRC Press, Taylor & Francis Group, 2015.

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Whyatt, J. K. Numerical exploration of shear-fracture-related rock bursts using a strain-softening constitutive law. U.S. Dept. of the Interior, Bureau of Mines, 1991.

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Javier, Cabrera, ed. Exploration and analysis of DNA microarray and protein array data. John Wiley, 2004.

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Nusse, Helena E., James A. Yorke, and Eric J. Kostelich. Dynamics: Numerical Explorations. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4684-0231-5.

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Nusse, Helena E., James A. Yorke, Brian R. Hunt, and Eric J. Kostelich. Dynamics: Numerical Explorations. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0219-6.

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Nusse, Helena Engelina. Dynamics: Numerical explorations. Springer-Verlag, 1994.

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A, Yorke James, ed. Dynamics: Numerical explorations. 2nd ed. Springer, 1998.

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Book chapters on the topic "Numerical Exploration"

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Kurt, Erol, and Hatice Hilal Kurt. "Theoretical Techniques for the Exploration of Piezoelectric Harvesters." In Numerical Methods for Energy Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62191-9_18.

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Castano, Silvana, Alfio Ferrara, and Stefano Montanelli. "Clouding Services for Linked Data Exploration." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer International Publishing, 2012. http://dx.doi.org/10.1007/978-3-642-31095-9_32.

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Bakke, Stig, and Cedric M. Griffiths. "Interactive quantitative matching of stratigraphic sequences of numerical lithostates based on gene-typing techniques." In Correlation in Hydrocarbon Exploration. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-1149-9_7.

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Hayli, Avram, and Augustin Vidović. "Numerical exploration of the circular billiard with gravity." In Ergodic Concepts in Stellar Dynamics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0058092.

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Zhu, Xiaolong, Guoqin Yan, Yongzhen Zhao, et al. "Disaster assessment and prediction of Gaojiayu landslide based on numerical method." In Advances in Geology and Resources Exploration. CRC Press, 2022. http://dx.doi.org/10.1201/9781003308584-115.

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He, Chunhui, Yajun Wang, Zhenguo Liu, et al. "Numerical simulation design of new assembled foundation for power transmission lines." In Advances in Geology and Resources Exploration. CRC Press, 2022. http://dx.doi.org/10.1201/9781003308584-113.

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Fedeli, Luca. "Numerical Exploration of High Field Plasmonics in Different Scenarios." In Springer Theses. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44290-7_6.

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Kim, Seunghwan, and Won Gyu Choe. "Numerical Exploration of Bifurcations and Chaos in Coupled Oscillators." In Bifurcation and Symmetry. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7536-3_20.

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Ballot, Jérôme, François Lignières, and Daniel R. Reese. "Numerical Exploration of Oscillation Modes in Rapidly Rotating Stars." In Studying Stellar Rotation and Convection. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33380-4_5.

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Ollé, Mercè. "Numerical Exploration of Bifurcation Phenomena Associated with Complex Instability." In The IMA Volumes in Mathematics and its Applications. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1208-9_14.

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Conference papers on the topic "Numerical Exploration"

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Senapati, Valentina, and Abhay Kaushik Nudurupati. "Numerical Analysis of Ground Effect Interaction for Rotational Systems in Martian Atmosphere." In IAF Space Exploration Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078357-0254.

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Wang, Minghan. "Exploration of Motion Increase Rate Based on Infrared Feature Capture and CFD Numerical Simulation." In 2025 IEEE International Conference on Electronics, Energy Systems and Power Engineering (EESPE). IEEE, 2025. https://doi.org/10.1109/eespe63401.2025.10986938.

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Evangelista, Paul F., and Vikram Mittal. "Nonparametric Density Estimation - A Numerical Exploration." In 2022 Winter Simulation Conference (WSC). IEEE, 2022. http://dx.doi.org/10.1109/wsc57314.2022.10015487.

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Bazargan, M., P. Broumand, H. B. Motra, B. Almqvist, C. Hieronymus, and S. Piazolo. "A Numerical Toolbox to Calculate the Seismic Properties of Micro Sized Isotropic and Anisotropic Minerals." In Mineral Exploration Symposium. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.202089023.

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MacCall, Benjamin, Patrick Haines, Edward Measure, et al. "Numerical Exploration of the Stable Boundary Layer." In 2008 DoD HPCMP Users Group Conference. IEEE, 2008. http://dx.doi.org/10.1109/dod.hpcmp.ugc.2008.63.

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Lopez-Zelaya, Cesar, Christian K. Keyser, Micah Raab, Patrick Hemmer, Walker Larson, and Trevor L. Courtney. "Numerical Exploration of Organic Liquid-filled Fibers." In 2022 IEEE Research and Applications of Photonics in Defense Conference (RAPID). IEEE, 2022. http://dx.doi.org/10.1109/rapid54472.2022.9911260.

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Pruess, Karsten, Tianfu Xu, John Apps, and Julio Garcia. "Numerical Modeling of Aquifer Disposal of CO2." In SPE/EPA/DOE Exploration and Production Environmental Conference. Society of Petroleum Engineers, 2001. http://dx.doi.org/10.2118/66537-ms.

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Hu, Dongfang, and Minlu He. "New Exploration on Bilingual Teaching of Numerical Control." In 2016 4th International Conference on Management, Education, Information and Control (MEICI 2016). Atlantis Press, 2016. http://dx.doi.org/10.2991/meici-16.2016.39.

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Poggie, Jonathan. "Numerical Exploration of Flow Control with Glow Discharges." In 35th AIAA Plasmadynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-2658.

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MacCall, Benjamin T., Patrick A. Haines, Edward Measure, et al. "Numerical Exploration of the Stable Atmospheric Boundary-Layer." In 2009 DoD High Performance Computing Modernization Program Users Group Conference (HPCMP-UGC). IEEE, 2009. http://dx.doi.org/10.1109/hpcmp-ugc.2009.45.

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Reports on the topic "Numerical Exploration"

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Pocher, Liam, Nathaniel Morgan, Travis Peery, and Jonathan Mace. Analysis into Asymptotic Convergence to Full Nonlinear Solutions and Exploration of the Implication of Numerical Operator Mutation of Differential Systems. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1648057.

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Lui, Mortimer, and Wood. PR-273-0323-R02 Corrosion Assessment Guidance for High Strength Steels (Phase 2). Pipeline Research Council International, Inc. (PRCI), 2009. http://dx.doi.org/10.55274/r0010703.

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Phase 2 report from GL for assessment of high strength steel affected by corrosion. This work supplements the prior Phase 1 Report (GL Report R9017), issued in August 2009 and incorprates burst test data not previously reported. Extensive research has been carried out for many years by Pipeline Research Council International, Inc. (PRCI) and others to develop methods for assessing the remaining strength of corroded pipelines. This has led to the development of assessment methods such as ASME B31G and RSTRENG. Research by Germanischer Lloyd (hereafter GL1, formerly Advantica) has developed new criteria such as the LPC method and extended the range of assessment methods to include numerical analysis. While there has been substantial progress, there remain areas where existing criteria require improvements. The needed improvements identified include limitations on the interaction of closely spaced defects; the effects of external loading, and cyclic pressure loading. Furthermore, as operators start to use higher strength materials there will be an increasing need to assess the integrity of corroded high strength pipelines and to further validate the application of existing criteria and models to these materials. Phase 1 of the work was conducted to investigate the application of existing assessment methods to high strength pipelines and is described in GL Report R9017. PRCI, the Pipeline and Hazardous Materials Safety Administration (PHMSA) and BP Exploration have funded research to address these issues in recent years. A method for extending the assessment of corroded pipelines of strength grade up to X65, subject to combined internal pressure and external loading, to assess corrosion damage in pipelines subject to cyclic pressure loading, is described in GL Report R9068. In GL Reports R9107, R7702 and, work was undertaken to investigate the performance of methods such as ASME B31G, RSTRENG and LPC when applied to the assessment of higher strength pipeline materials (API 5L/ISO 3183 grade L555/X80 and L690M/X100M). In addition to this work, GL has been commissioned by BP Exploration to conduct an operational trial using 48-inch diameter grade X100 pipe. The operational trial will generate substantial data on long term performance by testing sections of X100 pipeline in near real world conditions. An accelerated operational period will be simulated by two years of pressure cycling, equivalent to forty years operation. This large scale trial will be complemented by a range of laboratory scale tests. During the course of the trial a substantial amount of data related to the assessment of corrosion defects in X100 grade pipe will be gathered. This report presents the results of a program of work that builds on the development work being conducted for PHMSA/PRCI Project #153 and for the corrosion defect assessment section of the BP X100 operational trial.
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Harris, L. B., P. Adiban, and E. Gloaguen. The role of enigmatic deep crustal and upper mantle structures on Au and magmatic Ni-Cu-PGE-Cr mineralization in the Superior Province. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/328984.

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Aeromagnetic and ground gravity data for the Canadian Superior Province, filtered to extract long wavelength components and converted to pseudo-gravity, highlight deep, N-S trending regional-scale, rectilinear faults and margins to discrete, competent mafic or felsic granulite blocks (i.e. at high angles to most regional mapped structures and sub-province boundaries) with little to no surface expression that are spatially associated with lode ('orogenic') Au and Ni-Cu-PGE-Cr occurrences. Statistical and machine learning analysis of the Red Lake-Stormy Lake region in the W Superior Province confirms visual inspection for a greater correlation between Au deposits and these deep N-S structures than with mapped surface to upper crustal, generally E-W trending, faults and shear zones. Porphyry Au, Ni, Mo and U-Th showings are also located above these deep transverse faults. Several well defined concentric circular to elliptical structures identified in the Oxford Stull and Island Lake domains along the S boundary of the N Superior proto-craton, intersected by N- to NNW striking extensional fractures and/or faults that transect the W Superior Province, again with little to no direct surface or upper crustal expression, are spatially associated with magmatic Ni-Cu-PGE-Cr and related mineralization and Au occurrences. The McFaulds Lake greenstone belt, aka. 'Ring of Fire', constitutes only a small, crescent-shaped belt within one of these concentric features above which 2736-2733 Ma mafic-ultramafic intrusions bodies were intruded. The Big Trout Lake igneous complex that hosts Cr-Pt-Pd-Rh mineralization west of the Ring of Fire lies within a smaller concentrically ringed feature at depth and, near the Ontario-Manitoba border, the Lingman Lake Au deposit, numerous Au occurrences and minor Ni showings, are similarly located on concentric structures. Preliminary magnetotelluric (MT) interpretations suggest that these concentric structures appear to also have an expression in the subcontinental lithospheric mantle (SCLM) and that lithospheric mantle resistivity features trend N-S as well as E-W. With diameters between ca. 90 km to 185 km, elliptical structures are similar in size and internal geometry to coronae on Venus which geomorphological, radar, and gravity interpretations suggest formed above mantle upwellings. Emplacement of mafic-ultramafic bodies hosting Ni-Cr-PGE mineralization along these ringlike structures at their intersection with coeval deep transverse, ca. N-S faults (viz. phi structures), along with their location along the margin to the N Superior proto-craton, are consistent with secondary mantle upwellings portrayed in numerical models of a mantle plume beneath a craton with a deep lithospheric keel within a regional N-S compressional regime. Early, regional ca. N-S faults in the W Superior were reactivated as dilatational antithetic (secondary Riedel/R') sinistral shears during dextral transpression and as extensional fractures and/or normal faults during N-S shortening. The Kapuskasing structural zone or uplift likely represents Proterozoic reactivation of a similar deep transverse structure. Preservation of discrete faults in the deep crust beneath zones of distributed Neoarchean dextral transcurrent to transpressional shear zones in the present-day upper crust suggests a 'millefeuille' lithospheric strength profile, with competent SCLM, mid- to deep, and upper crustal layers. Mechanically strong deep crustal felsic and mafic granulite layers are attributed to dehydration and melt extraction. Intra-crustal decoupling along a ductile décollement in the W Superior led to the preservation of early-formed deep structures that acted as conduits for magma transport into the overlying crust and focussed hydrothermal fluid flow during regional deformation. Increase in the thickness of semi-brittle layers in the lower crust during regional metamorphism would result in an increase in fracturing and faulting in the lower crust, facilitating hydrothermal and carbonic fluid flow in pathways linking SCLM to the upper crust, a factor explaining the late timing for most orogenic Au. Results provide an important new dataset for regional prospectively mapping, especially with machine learning, and exploration targeting for Au and Ni-Cr-Cu-PGE mineralization. Results also furnish evidence for parautochthonous development of the S Superior Province during plume-related rifting and cannot be explained by conventional subduction and arc-accretion models.
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NUMERICAL AND THEORETICAL STUDIES ON DOUBLE STEEL PLATE COMPOSITE WALLS UNDER COMPRESSION AT LOW TEMPERATURES. The Hong Kong Institute of Steel Construction, 2021. http://dx.doi.org/10.18057/ijasc.2021.17.4.6.

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Double steel plate composite walls (DSCWs) with several unique types of connectors have been implemented to protect offshore oil exploration platforms from concentric forces caused by ice in the Arctic region. This paper investigates the compressive perfor-mance of DSCWs with interlocked J-hooks and overlapped headed studs at low temperatures ranging from 20 ℃ to -80 ℃ with nonlinear finite element models (FEMs). The intricate geometric size of the concrete, multiple interactions of the concrete with the connectors, and material nonlinearities of the concrete have been thoroughly simulated. The reasonable consistency between the results of the monotonic tests and finite element analysis (FEA) on nine DSCWs with interlocked J-hooks and seven DSCWs with overlapped headed studs indicates that the FEMs can effectively predict the compressive performance of the DSCWs at low temper-atures. On the basis of the validated FEMs, the effects of the horizontal and vertical spacing of the connectors on the compressive performance of the DSCWs are studied. Finally, theoretical models of the load-displacement curves are developed to reveal the compressive response of DSCWs at low temperatures with different types of connectors, taking into account the restraining effect of steel plates on the inner concrete and the local buckling of steel plates. Compared with previous tests and FEA, the developed theoretical models have reasonable consistency for the load-displacement curves of DSCWs at low temperatures.
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