Relevant bibliographies by topics / Extrapolators

Academic literature on the topic 'Extrapolators'

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Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Extrapolators"

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Hale, Dave. "Stable explicit depth extrapolation of seismic wavefields." GEOPHYSICS 56, no. 11 (November 1991): 1770–77. http://dx.doi.org/10.1190/1.1442989.

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Stability has traditionally been one of the most compelling advantages of implicit methods for seismic wavefield extrapolation. The common 45-degree, finite‐difference migration algorithm, for example, is based on an implicit wavefield extrapolation that is guaranteed to be stable. Specifically, wavefield energy will not grow exponentially with depth as the wavefield is extrapolated downwards into the subsurface. Explicit methods, in contrast, tend to be unstable. Without special care in their implementation, explicit extrapolation methods cause wavefield energy to grow exponentially with depth, contrary to physical expectations. The Taylor series method may be used to design finite‐length, explicit, extrapolation filters. In the usual Taylor series method, N coefficients of a finite‐length filter are chosen to match N terms in a truncated Taylor series approximation of the desired filter’s Fourier transform. Unfortunately, this method yields unstable extrapolation filters. However, a simple modification of the Taylor series method yields extrapolators that are stable. The accuracy of stable explicit extrapolators is determined by their length—longer extrapolators yield accurate extrapolation for a wider range of propagation angles than do shorter filters. Because a very long extrapolator is required to extrapolate waves propagating at angles approaching 90 degrees, stable explicit extrapolators may be less efficient than implicit extrapolators for high propagation angles. For more modest propagation angles of 50 degrees of less, stable explicit extrapolators are likely to be more efficient than current implicit extrapolators. Furthermore, unlike implicit extrapolators, stable explicit extrapolators naturally attenuate waves propagating at high angles for which the extrapolators are inaccurate.
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Mittet, Rune, Roger Sollie, and Ketil Hokstad. "Prestack depth migration with compensation for absorption and dispersion." GEOPHYSICS 60, no. 5 (September 1995): 1485–94. http://dx.doi.org/10.1190/1.1443882.

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In prestack depth migration using explicit extrapolators, the attenuation and dispersion of the seismic wave has been neglected so far. We present a method for accommodating absorption and dispersion effects in depth migration schemes. Extrapolation operators that compensate for absorption and dispersion are designed using an optimization algorithm. The design criterion is that the wavenumber response of the operator should equal the true extrapolator. Both phase velocity and absorption macro models are used in the wavefield extrapolation. In a model with medium to high absorption, the images obtained are superior to those obtained using extrapolators without compensation for absorption.
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Musaev, Alexander A., and Andrey V. Gaikov. "MULTIAGENT SYSTEM OF FORECASTING OF CHAOTIC PROCESSES ON THE BASIS OF STATISTICAL EXTRAPOLATORS." Bulletin of the Saint Petersburg State Institute of Technology (Technical University) 56 (2021): 65–71. http://dx.doi.org/10.36807/1998-9849-2020-56-82-65-71.

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The problem of the of a non-stationary system state predicting is considered. The decision based on the joint processing of the results obtained by a group of independent statistical extrapolators. In the terminology of multiagent systems, each extrapolator is an intelligent agent. The quality of the agent solutions is evaluated on retrospective data and is used as weight characteristic in the problem of a terminal solution estimation. The specificity of non-stationary processes with a chaotic system component leads to the empiricca version of the forecast generation algorithm
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Du, Xiang, Paul J. Fowler, and Robin P. Fletcher. "Recursive integral time-extrapolation methods for waves: A comparative review." GEOPHYSICS 79, no. 1 (January 1, 2014): T9—T26. http://dx.doi.org/10.1190/geo2013-0115.1.

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We compared several families of algorithms for recursive integral time-extrapolation (RITE) algorithms for waves in isotropic and anisotropic media. These methods allow simulating accurate wave extrapolation with little numerical dispersion even when using larger time steps than are usually possible for conventional finite-difference methods. These various RITE algorithms all share the use of mixed space/wavenumber-domain operators derived from Fourier integral solutions of single-mode wave equations. We evaluated a taxonomy for RITE methods based on how they approximated the influence of medium heterogeneity. One family of methods uses mixed-domain series expansions to provide accurate approximations to heterogeneous extrapolators even for large time steps. We compared several methods for deriving coefficients for such series approximations. Another family of methods uses interpolation between different homogeneous extrapolations to approximate heterogeneous time extrapolation. Such methods can be based on interpolating either the extrapolators themselves or interpolating between reference wavefields extrapolated using different homogeneous parameters. Interpolation methods work well for smooth media, but can suffer from oscillatory artifacts at large velocity discontinuities unless the time step is small. We tested numerical examples of the various families of RITE algorithms to determine their relative strengths and limitations.
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Mousa, Wail A., Mirko van der Baan, Said Boussakta, and Desmond C. McLernon. "Designing stable extrapolators for explicit depth extrapolation of 2D and 3D wavefields using projections onto convex sets." GEOPHYSICS 74, no. 2 (March 2009): S33—S45. http://dx.doi.org/10.1190/1.3077621.

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We have developed a robust algorithm for designing explicit depth extrapolation operators using the projections-onto-convex-sets (POCS) method. The operators are optimal in the sense that they satisfy all required extrapolation design characteristics. In addition, we propose a simple modification of the POCS algorithm (modified POCS, or MPOCS) that further enhances the stability of extrapolated wavefields and reduces the number of iterations required to design such operators to approximately 2% of that required for the basic POCS design algorithm. Various synthetic tests show that 25-coefficient 1D extrapolation operators, which have 13 unique coefficients, can accommodate dip angles up to 70°. We migrated the SEG/EAGE salt model data with the operators and compare our results with images obtained via extrapolators based on modified Taylor series and with wavefield extrapolation techniques such as phase shift plus interpolation (PSPI) and split-step Fourier. The MPOCS algorithm provides practically stable depth extrapolators. The resulting migrated section is comparable in quality to an expensive PSPI result and visibly outperforms the other two techniques. Strong dips and subsalt structures are imaged clearly. Finally, we extended the 1D extrapolator design algorithm, using MPOCS for 2D extrapolation, to the 2D case to perform 3D extrapolation; the result is a perfect circularly symmetric migration impulse response.
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Mousa, Wail A. "The design of stable, sparse wavefield extrapolators using projections onto convex sets." GEOPHYSICS 78, no. 1 (January 1, 2013): T11—T20. http://dx.doi.org/10.1190/geo2012-0130.1.

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We present the results of poststack explicit depth migration of the well-known 2D SEG/EAGE salt model zero-offset seismic data using sparse wavefield extrapolators. The extrapolators are designed to be sparse by forcing some of the very small complex-valued coefficients’ magnitude values to be zero. The proposed extrapolators design method combines the previously reported modified projections onto convex sets (MPOCS) for designing explicit depth frequency-space ([Formula: see text]) wavefield extrapolation operators with hard-thresholding of the small extrapolators coefficients’ magnitude. The real and imaginary parts of the MPOCS operators, with small magnitudes, are replaced by zeros during the MPOCS algorithm iterations. The migrated result of the SEG/EAGE salt model data, using such sparse designed operators, shows comparable migrated results using the nonsparse version of the MPOCS extrapolation operators as well as the image obtained using the well-known phase-shift plus interpolation (PSPI) migration technique. Overall, the sparse operators result in poststack imaging computational savings (in terms of used flops) of about 28% when compared to poststack imaging of the same data using the nonsparse MPOCS designed operators, and of more than 87.77% saved flops using the PSPI technique.
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Al-Saleh, Saleh M., Gary F. Margrave, and Sam H. Gray. "Direct downward continuation from topography using explicit wavefield extrapolation." GEOPHYSICS 74, no. 6 (November 2009): S105—S112. http://dx.doi.org/10.1190/1.3263914.

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Downward-continuation migration algorithms are powerful tools for imaging complicated subsurface structures. However, they usually assume that extrapolation proceeds from a flat surface, whereas most land surveys are acquired over irregular surfaces. Our method downward continues data directly from topography using a recursive space-frequency explicit wavefield-extrapolation method. The algorithm typically handles strong lateral velocity variations by using the velocity value at each spatial position to build the wavefield extrapolator in which the depth step usually is kept fixed. To accommodate topographic variations, we build space-frequency wavefield extrapolators with laterally variable depth steps (LVDS). At each spatial location, the difference between topography and extrapolation depth is used to determine the depth step. We use the velocity and topographic values at each spatial lateral position to build extrapolators. The LVDS approach does not add more data nor does it require preprocessing prior to extrapolation. We implemented the LVDS method and applied it to a source profile prestack migration technique. We also implemented the previously developed zero-velocity layer approach to use for comparison. For both algorithms, we modeled the acoustic source as an approximate free-space Green’s function, not as a simple extrapolated spatial impulse. Tests on a synthetic data set modeled from rough topography and comparisons with the zero-velocity layer approach confirm the method’s effectiveness in imaging shallow and deep structures beneath rugged topography.
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Graves, R. W., and R. W. Clayton. "Modeling acoustic waves with paraxial extrapolators." GEOPHYSICS 55, no. 3 (March 1990): 306–19. http://dx.doi.org/10.1190/1.1442838.

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Modeling by paraxial extrapolators is applicable to wave‐propagation problems in which most of the energy is traveling within a restricted angular cone about a principal axis of the problem. Using this technique, frequency‐domain finite‐difference solutions accurate for propagation angles out to 60° are readily generated for both two‐dimensional (2-D) and three‐dimensional (3-D) models. Solutions for 3-D problems are computed by applying the 2-D paraxial operators twice, once along the x‐axis and once along the y‐axis, at each extrapolation step. The azimuthal anisotropy inherent to this splitting technique is essentially eliminated by adding a phase‐correction operator to the extrapolation system. For heterogeneous models, scattering effects are incorporated by determining transmission and reflection coefficients at structural boundaries within the media. The direct forward‐scattered waves are modeled with a single pass of the extrapolation operator in the paraxial direction for each frequency. The first‐order backscattered energy is then modeled by extrapolation (in the opposite direction) of the reflected field determined on the first pass. Higher order scattering can be included by sweeping through the model with more passes. The chief advantages of the paraxial approach are (1) active storage is reduced by one dimension compared to solutions which must track both forward‐scattered and backscattered waves simultaneously; thus, realistic 3-D problems can fit on today’s computers, (2) the decomposition in frequency allows the technique to be implemented on highly parallel machines, (3) attenuation can be modeled as an arbitrary function of frequency, and (4) only a small number of frequencies are needed to produce movie‐like time slices.
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van Breda, Leo, and Peter O. Passenier. "Effect of Path Prediction on Navigational Performance." Journal of Navigation 51, no. 2 (May 1998): 216–28. http://dx.doi.org/10.1017/s0373463397007662.

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A simulator experiment was conducted to determine the potential benefits of path prediction on the navigational performance of channel-bound vessels. Channel pilots had to sail an approach channel under critical conditions in a deep-draught vessel. For the navigation task, basic radar information was used, supplemented by three different path predictors. Predictor (a) was based on an accurate fast-time hydrodynamic model of the vessel and showed the exact future path of the vessel. Both other path predictors were less accurate, relatively simple extrapolators; predictor (b) was based on a speed and rate of turn extrapolator and showed a curved representation of the future path; predictor (c) was based on a linear speed and course extrapolator and showed the ground velocity vector. Navigational performance was determined in terms of deviation from the planned route. The results indicate that the relatively simple extrapolator (b) supported the navigational task as effectively as the highly accurate path predictor (a). In comparison with the linear extrapolator (c), the navigational accuracy increased by a factor of two. It is concluded that support in anticipating the vessel's rate of turn is essential for accurate navigation. Implications of the use of path prediction for ship control are discussed.
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Fadeeva, E. P. "Optimal linear extrapolators of some stationary processes." Journal of Soviet Mathematics 43, no. 1 (October 1988): 2240–48. http://dx.doi.org/10.1007/bf01095929.

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Dissertations / Theses on the topic "Extrapolators"

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Snow, Nicholas Harrer. "Numerical extrapolations for retention time prediction in capillary gas chromatography." Diss., This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-06062008-170350/.

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Hackett-Jones, E. J. "The role of chiral symmetry in extrapolations of lattice QCD results to the physical regime /." Title page, contents and abstract only, 2001. http://web4.library.adelaide.edu.au/theses/09SM/09smh121.pdf.

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Kettle, Anthony J. "Extrapolations of the flux of dimethylsulfide, carbon monoxide, carbonyl sulfide, and carbon disulfide from the oceans." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape2/PQDD_0012/NQ59143.pdf.

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O'Brien, Eileen M. "Climate and woody plant species richness : analyses based upon southern Africa's native flora with extrapolations to subsaharan Africa." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670313.

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Cupitt, Catherine Anne. "Space opera: a hybrid form of science fiction and fantasy." Thesis, Curtin University, 2004. http://hdl.handle.net/20.500.11937/1082.

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This thesis considers space opera as a hybrid form of science fiction and fantasy.“Falling Stars,” the creative component which includes fantasy, space opera and science fiction stories, constitutes a spectrum of speculative fiction. In order to illustrate the similarities and difference between the genres represented in the spectrum, I focus on the central figure of the alien other and the ways in which such a figure can be gendered and embodied. The space opera novella combines motifs of both fantasy and science fiction within the figure of the cyborg, Orlando, who is transgendered and hyperchangeably embodied.The exegesis offers a theoretical context through which to view the creative work. I argue that space operas are melodramatic adventure stories, which operate as a hybrid form of science fiction and fantasy, using the non-realist expectations inherent in both, but mixing the extrapolations and icons of science fiction with the self-consistent but unbelievable discontinuities of fantasy. I also consider space opera’s tendency to exhibit a conservative, unexamined colonialistic imperative, with the attendant assumptions that create a potential for feminist subversion.
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IRIBARNE, CHRISTELLE. "N-dealkylations oxydatives de la methadone et de la buprenorphine. Identification de l'isoforme cytochrome p450 impliquee. Extrapolations aux interactions medicamenteuses." Brest, 1998. http://www.theses.fr/1998BRES2011.

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La methadone et la buprenorphine sont utilisees dans les programmes de substitution de dependances aux opiaces. Neanmoins, pour permettre un traitement optimum et ainsi eviter des rechutes vers la toxicomanie, il est important de connaitre la nature des enzymes responsables de leurs biotransformations, et ainsi les interactions medicamenteuses previsibles. L'etude in vitro de leurs dealkylations par des preparations microsomales hepatiques humaines a permis d'etablir que le cytochrome p450 3a4 catalyse majoritairement ces reactions. La demarche consiste en cinq etapes : 1. Determination des activites dans un panel de preparations microsomales, 2. Correlations avec d'autres activites p450-dependantes, 3. Action d'inhibiteurs chimiques specifiques, 4. Immuno-inhibition par anticorps polyclonaux anti-p450 3a4, 5. Capacite metabolique de p450 humains heterologues. Nous avons ensuite montre que la methadone n'est pas un inhibiteur suicide des p450, mais un inhibiteur reversible du p450 3a4. Le cytochrome p450 3a4 est repressible et inductible par de nombreux xenobiotiques. De plus, il est implique dans le metabolisme d'environ 50% des medicaments presents sur le marche. Il en resulte que des interactions medicamenteuses sont probables. Nous avons etabli in vitro l'existence d'interactions entre ces substituts et la fluvoxamine ou la fluoxetine (inhibiteurs de la recapture de la serotonine), et avec le ritonavir, l'indinavir ou le saquinavir (inhibiteurs de la protease vih). Nous avons extrapole ces resultats a la situtation in vivo en appliquant un modele mathematique faisant intervenir le type d'interaction, les constantes cinetiques de chaque produit et les concentrations plasmatiques. Le ritonavir inhibe tres fortement le metabolisme des deux substituts, et la fluvoxamine inhibe legerement la demethylation de la methadone. Dans la derniere partie, nous avons verifie que le metabolisme de la methadone par les p450 fait intervenir ses deux enantiomeres.
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Silva, André Chicrala Amaral. "Evolution of active regions based on solar-surface magnetic flux observations and coronal magnetic fields extrapolations: a case-study of NOAA 12443." Instituto Nacional de Pesquisas Espaciais (INPE), 2017. http://urlib.net/sid.inpe.br/mtc-m21b/2017/07.07.18.24.

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The solar surface is often populated by Active Regions (ARs) that are known for their intense magnetic field when compared to the solar quiet regions. During their evolution the ARs may give rise to energetic events such as flares or Coronal Mass Ejections (CMEs). In this work, data collected from the instruments Helioseismic and Magnetic Imager (HMI) and Hinode were used to measure the magnetic field in the Photosphere, using Stokes profiles, and to extrapolate those magnetic field vectors to the layers above: Chromosphere and Corona whose magnetic field cannot be directly measured with the available equipment and techniques. Since the behaviour of a plasma is strongly dependent on the magnetic field the results were applied to study the behaviour of the active region NOAA 12443. The results include maps of the Stokes parameters measured over NOAA 12443, the velocity fields along the Line Of Sight, a study of the behaviour of the currents and helicity of the region, the energy evolution of NOAA 12443 using a linear force free approach and a scenario studying some of the possible causes of the flaring activity and if this flare was an sympathetic event.
A superfície solar é comumente populada por Regiões Ativas (ARs) que são conhecidas por seu intenso campo magnético quando comparadas com as regiões de Sol quieto. Durente sua evolução, as ARs podem dar origem a eventos energéticos como flares ou ejeções coronais de massa (CMEs).Nesse trabalho, dados coletados dos instrumentos Helioseismic and Magnetic Imager (HMI) e Hinode forão usados para medir o campo magnético na fotosfera, usando os perfis de Stokes, e para extrapolar essas medidas de vetor campo magnético para as camadas acima: a Chromosfera e a Coroa onde esses campos magnéticos não podem ser diretamente medidos com as técnicas e aparatos disponíveis para este estudo. Como o comportamento de um plasma é fortemente dependente do campo magnético esses resultados forão aplicados para estudar o comportamento da região ativa NOAA 12443. Os resultados incluem mapas dos parâmetros de Stokes da região NOAA 12443, os campos de velocidade ao longo da linha de visada, um estudo do comportamento de correntes e helicidade da região, um estudo da evolução energética da NOAA 12443 usando uma abordagem linear livre de forças e um cenário que estuda algumas das possíveis causas da atividade de flare e se o flare em questão foi um evento simpático.
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Ribot, Magali. "Étude théorique de méthodes numériques pour les systèmes de réaction-diffusion; application à des équations paraboliques non linéaires et non locales." Phd thesis, Université Claude Bernard - Lyon I, 2003. http://tel.archives-ouvertes.fr/tel-00004563.

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On s'intéresse dans cette thèse à l'étude de méthodes numériques pour les systèmes de réaction-diffusion. Tout d'abord, on étudie le schéma par régularisation du résidu et ses extrapolations; ce schéma introduit un préconditionneur en espace lors de la discrétisation en temps. On prouve la stabilité en norme usuelle et la convergence en norme d'énergie de cette méthode et on l'applique au préconditionnement de méthodes spectrales par des méthodes d'éléments finis. Cette application nécessite le calcul d'asymptotiques précises des polynômes de Legendre et de leurs extrema. On prouve aussi la convergence et l'ordre deux d'une méthode de splitting semi-discrétisée en temps pour les systèmes de réaction-diffusion, l'approximation de Peaceman-Rachford. Enfin, on applique ces méthodes à la simulation d'une équation parabolique non linéaire pour modéliser la croissance de grains et à une équation parabolique non locale venant de la mécanique statistique et modélisant les systèmes autogravitants de fermions.
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Graves, Robert Wilson. "Modeling seismic wave propagation using paraxial extrapolators." Thesis, 1991. https://thesis.library.caltech.edu/6283/1/Graves_rw_1991.pdf.

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The development of a paraxial extrapolation system to simulate seismic wave field propagation in complex three-dimensional (3-D) media results in a practical approach to address modeling problems that require large computer memory. The paraxial approach applies to wave propagation problems in which most of the energy is traveling within a restricted angular cone about a principle axis of the problem. To set up the paraxial system, the equations of motion are initially cast as a first-order extrapolation system. Approximating the exact one-way extrapolation operator for this system with a truncated series expansion yields a sequence of paraxial extrapolation operators. Using the second-order operator results in a paraxial system which is accurate for propagation angles out to 60° with respect to the extrapolation axis. The acoustic formulation of this system produces excellent results as compared to a full wave field calculation. Formulating an appropriate system for the elastic case is more difficult due to the coupling between P and S energy. Specifying media variations as small perturbations to a homogeneous reference medium leads to a useful formulation of the paraxial system for the 2-D elastic case. Using the acoustic system to model path effects for local earthquakes recorded at two southern California stations indicates the strong influence that the 3-D crustal basins of this region have on the propagation of seismic energy. Although the simulation tracks only acoustic waves, the method is capable of modeling effects due to focusing, diffraction and the generation of multiple reflections and refractions. The modeling results show that the 3-D structure of the Los Angeles, San Fernando and San Gabriel basins create strong patterns of focusing and defocusing for propagation paths coming into the stations located at Pasadena (PAS) and the University of Southern California (USC). These simulations compare well with earthquake data recorded at both stations.
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Nananukul, Soracha. "Extrapolations in stochastic discrete-event systems." 1996. https://scholarworks.umass.edu/dissertations/AAI9639010.

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We consider an alternative approach for computing the values of performance functions in complicated DES's. The idea is to first compute the values of auxiliary terms, which are related to the performance function in some way. And then we use the values of the auxiliary terms to approximate the values of the performance function in the complicated system. This is done by finding an appropriate function which can use the values of the auxiliary terms to extrapolate the values of the performance function. We consider 3 kinds of extrapolation: (1) Pade approximation, (2) multipoint Pade approximation, (3) sequence transformation. We also consider the quasi-Monte Carlo method for regenerative simulation which will guarantee deterministic bounds needed in extrapolation.
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Books on the topic "Extrapolators"

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Schmidt, Sebastian. Musical Extrapolations. Wiesbaden: Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-11125-0.

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Meeting in infinity: Allegories & extrapolations. Sauk City, Wis: Arkham House, 1992.

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R, Lankton Stephen, and Zeig Jeffrey K. 1947-, eds. Extrapolations: Demonstrations of Ericksonian therapy. New York: Brunner/Mazel Publishers, 1989.

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Lambert, Andrea. Lorazepam and the valley of skin: Extrapolations on Los Angeles. Stockholm: Valeveil Press, 2009.

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Opata, Damian U. Faith, culture, & individual freedom: Notes and extrapolations from Lejja Catholic Parish, Nsukka Diocese. Nigeria: Great AP Express Publishers, Ltd., 2011.

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Opata, Damian U. Faith, culture, & individual freedom: Notes and extrapolations from Lejja Catholic Parish, Nsukka Diocese. Nigeria: Great AP Express Publishers, Ltd., 2011.

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1954-, Benson William H., Di Giulio, Richard T. 1950-, and SETAC (Society), eds. Genomic approaches for cross-species extrapolation in toxicology: Proceedings from the Workshop on Emerging Molecular and Computational Approaches for Cross-Species Extrapolations, 18-22 July 2004, Portland, Oregon, USA. Pensacola, Fla: SETAC, 2007.

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Potet, Jean-Paul G. Extrapolations Volume 2. Lulu Press, Inc., 2016.

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Potet, Jean-Paul G. Extrapolations Volume 1. Lulu Press, Inc., 2015.

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Potet, Jean-Paul G. Extrapolations Volume 1. Lulu Press, Inc., 2016.

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Book chapters on the topic "Extrapolators"

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Schmidt, Sebastian. "Perspectives of Developmental Psychology: Between Pre-disposed Structures and Musical Experience." In Musical Extrapolations, 27–83. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11125-0_1.

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Schmidt, Sebastian. "Perspectives on Creativity in General and while Music is being Listened to and Composed." In Musical Extrapolations, 85–206. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11125-0_2.

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Schmidt, Sebastian. "At the Very Heart (of Music)." In Musical Extrapolations, 209–22. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11125-0_3.

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Schmidt, Sebastian. "The Model of Musical Extrapolations – Basic Factors and their Inter-dependencies." In Musical Extrapolations, 223–88. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11125-0_4.

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Schmidt, Sebastian. "Perspectives of Investigation Based on the Outlind Model of Musical Extrapolations." In Musical Extrapolations, 289–94. Wiesbaden: Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-11125-0_5.

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Serra, Jean. "Shoreline Extrapolations." In Handbook of Mathematical Geosciences, 225–37. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78999-6_12.

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Dourson, Michael, and Lynne Haber. "Linear Low-Dose Extrapolations." In Cancer Risk Assessment, 613–35. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2010. http://dx.doi.org/10.1002/9780470622728.ch24.

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Lewis, Ari S., and Barbara D. Beck. "Nonlinear Low-Dose Extrapolations." In Cancer Risk Assessment, 659–80. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2010. http://dx.doi.org/10.1002/9780470622728.ch26.

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Cleophas, Ton J., and Aeilko H. Zwinderman. "Regressions for Making Extrapolations." In Regression Analysis in Medical Research, 201–12. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71937-5_11.

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Cleophas, Ton J., and Aeilko H. Zwinderman. "Regressions for Making Extrapolations." In Regression Analysis in Medical Research, 207–18. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61394-5_11.

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Conference papers on the topic "Extrapolators"

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Clayton, R. W., and R. W. Graves. "Acoustic wavefield propagation using paraxial extrapolators." In the third conference. New York, New York, USA: ACM Press, 1988. http://dx.doi.org/10.1145/63047.63069.

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Graves, Robert W., and Robert W. Clayton. "Modeling acoustic waves with paraxial extrapolators." In SEG Technical Program Expanded Abstracts 1987. Society of Exploration Geophysicists, 1987. http://dx.doi.org/10.1190/1.1892063.

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Margrave, Gary F., and Robert J. Ferguson. "Taylor series derivation of nonstationary wavefield extrapolators." In SEG Technical Program Expanded Abstracts 2000. Society of Exploration Geophysicists, 2000. http://dx.doi.org/10.1190/1.1816201.

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Sollid, A., and B. Arntsen. "Wavefield extrapolators for cost-effective 3D depth migration." In 55th EAEG Meeting. European Association of Geoscientists & Engineers, 1993. http://dx.doi.org/10.3997/2214-4609.201411519.

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Graves, Robert W., and Robert W. Clayton. "Wide‐angle wave field propagation using paraxial extrapolators." In SEG Technical Program Expanded Abstracts 1988. Society of Exploration Geophysicists, 1988. http://dx.doi.org/10.1190/1.1892516.

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Mousa, Wail A. "Accurate & efficient wavefield extrapolators using IIR F - X filters." In 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2010. http://dx.doi.org/10.1109/icassp.2010.5495391.

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Mousa, W. A., D. C. McLernon, S. Boussakta, and M. Van der Baan. "The design of wavefield extrapolators using projections onto convex sets." In SEG Technical Program Expanded Abstracts 2005. Society of Exploration Geophysicists, 2005. http://dx.doi.org/10.1190/1.2148110.

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Ferguson, Robert J., and Gary F. Margrave. "A comparison of two wavefield extrapolators: PSPI plus correction verses an efficient Fourier operator." In SEG Technical Program Expanded Abstracts 2003. Society of Exploration Geophysicists, 2003. http://dx.doi.org/10.1190/1.1817438.

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Duquet, Bertrand, Benoit Lavaud, and Frank Prat. "Improving GSP extrapolator." In SEG Technical Program Expanded Abstracts 2003. Society of Exploration Geophysicists, 2003. http://dx.doi.org/10.1190/1.1817476.

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MUSCH, B. U. "UNCERTAINTY BANDS FOR CHIRAL EXTRAPOLATIONS." In Proceedings of the 5th International Workshop on Chiral Dynamics, Theory and Experiment. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812790804_0080.

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Reports on the topic "Extrapolators"

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Mihalczo, J. T., and M. S. Wyatt. Extrapolations to critical for systems with large inherent sources. Office of Scientific and Technical Information (OSTI), July 1997. http://dx.doi.org/10.2172/633994.

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Mazumdar, S., F. Guo, D. Guo, K.-C. Ung, and J. T. Gammel. Infinite Volume Extrapolations of Finite Cluster Calculations-How Correct Are These. Fort Belvoir, VA: Defense Technical Information Center, May 1993. http://dx.doi.org/10.21236/ada265648.

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Boschen, Jeffery. Where to draw the line: Chasing energy extrapolations, cluster convergence, and molecular trajectories. Office of Scientific and Technical Information (OSTI), May 2017. http://dx.doi.org/10.2172/1417979.

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Sinpurwalla, Nozer D., and Jingxian Chen. Filtering, Smoothing, and Extrapolations in Dose-Response Experiments: With Application to Data on Respiratory Tumor in Rats. Fort Belvoir, VA: Defense Technical Information Center, January 1990. http://dx.doi.org/10.21236/ada293968.

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