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Автор: Grafiati
Опубліковано: 30 травня 2022
Оновлено: 31 травня 2022

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Статті в журналах з теми "Initial boundary"

1

Solonnikov, V. A. "Initial-boundary value problem for generalized Stokes equations." Mathematica Bohemica 126, no. 2 (2001): 505–19. http://dx.doi.org/10.21136/mb.2001.134018.

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2

Palencia, C., and I. Alonso Mallo. "Abstract initial boundary value problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124, no. 5 (1994): 879–908. http://dx.doi.org/10.1017/s0308210500022393.

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Анотація:
We consider abstract initial boundary value problems in a spirit similar to that of the classical theory of linear semigroups. We assume that the solution u at time t is given by u(t) = S(t) ξ + V(t)g, where ξ and g are respectively the initial and boundary data and S(t) and V(t) are linear operators. We take as a departing point the functional equations satisfied by the propagators S and V. We discuss conditions under which a pair (S, V) describes the solution of an abstract differential initial boundary value problem. Several examples are provided of parabolic and hyperbolic problems that can be accommodated within the abstract theory. We study the backward Euler's method for the time integration of the problems considered.
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3

Khabibullin, I. T. "Integrable initial-boundary-value problems." Theoretical and Mathematical Physics 86, no. 1 (January 1991): 28–36. http://dx.doi.org/10.1007/bf01018494.

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4

de Brito, Eliana Henriques. "Nonlinear initial-boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 11, no. 1 (January 1987): 125–37. http://dx.doi.org/10.1016/0362-546x(87)90031-9.

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5

Meister, E., and L. Meister. "Some initial boundary problems in electrodynamics for canonical domains in quaternions." Mathematica Bohemica 126, no. 2 (2001): 429–42. http://dx.doi.org/10.21136/mb.2001.134024.

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6

Stahel, Andreas. "Hyperbolic initial boundary value problems with nonlinear boundary conditions." Nonlinear Analysis: Theory, Methods & Applications 13, no. 3 (March 1989): 231–57. http://dx.doi.org/10.1016/0362-546x(89)90052-7.

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7

Brevdo, Leonid. "Initial-Boundary-Value Stability Problem for the Blasius Boundary Layer." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 75, no. 5 (1995): 371–78. http://dx.doi.org/10.1002/zamm.19950750506.

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8

Nordström, Jan, and Thomas M. Hagstrom. "The Number of Boundary Conditions for Initial Boundary Value Problems." SIAM Journal on Numerical Analysis 58, no. 5 (January 2020): 2818–28. http://dx.doi.org/10.1137/20m1322571.

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9

Morachkovskii, O. K., and Yu V. Romashov. "Solving initial–boundary-value creep problems." International Applied Mechanics 45, no. 10 (October 2009): 1061–70. http://dx.doi.org/10.1007/s10778-010-0247-y.

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10

Radomirskaya, K. A. "Spectral and Initial-Boundary Conjugation Problems." Journal of Mathematical Sciences 250, no. 4 (September 21, 2020): 660–82. http://dx.doi.org/10.1007/s10958-020-05033-3.

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Дисертації з теми "Initial boundary"

1

Mugnolo, Delio. "Second order abstract initial-boundary value problems." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=971647674.

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2

Zhao, Kun. "Initial-boundary value problems in fluid dynamics modeling." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31778.

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Анотація:
Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.
Committee Chair: Pan, Ronghua; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Gangbo, Wilfrid; Committee Member: Yeung, Pui-Kuen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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3

Al-Kharafi, Abdulmohsen A. H. "Finite element solution of initial/boundary value problems." Thesis, Loughborough University, 1986. https://dspace.lboro.ac.uk/2134/32335.

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Анотація:
In the last few decades, the Finite Element Method (F.E.M.) has become one of the best techniques used to solve a vast variety of the world's initial/boundary value problems. When such a powerful method is facilitated by a 'user friendly' computer program that possess both pre- and post-processors together with an automatic mesh generation and refinement processor, it becomes indeed a powerful tool to solve a wide range of problems in Applied Mathematics and Engineering. This thesis is an attempt to show the potential of the method which is implemented by a general purpose program used to solve problems governed by partial differential equations (P.D.E.s).
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4

Qin, Jingsheng. "Initial boundary value problems associated with a spinning string." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq23465.pdf.

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5

Forgoston, Eric T. "Initial-Value Problem for Perturbations in Compressible Boundary Layers." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195810.

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Анотація:
An initial-value problem is formulated for a three-dimensional perturbation in a compressible boundary layer flow. The problem is solved using a Laplace transform with respect to time and Fourier transforms with respect to the streamwise and spanwise coordinates. The solution can be presented as a sum of modes consisting of continuous and discrete spectra of temporal stability theory. Two discrete modes, known as Mode S and Mode F, are of interest in high-speed flows since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed numerically for a hypersonic flow. A comprehensive study of the spectrum is performed, including Reynolds number, Mach number and temperature factor effects. A specific disturbance consisting of an initial temperature spot is considered, and the receptivity to this initial temperature spot is computed for both the two-dimensional and three-dimensional cases. Using the analysis of the discrete and continuous spectrum, the inverse Fourier transform is computed numerically. The two-dimensional inverse Fourier transform is calculated for Mode F and Mode S. The Mode S result is compared with an asymptotic approximation of the Fourier integral, which is obtained using a Gaussian model as well as the method of steepest descent. Additionally, the three-dimensional inverse Fourier transform is found using an asymptotic approximation. Using the inverse Fourier transform computations, the development of the wave packet is studied, including effects due to Reynolds number, Mach number and temperature factor.
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6

Bozkaya, Canan. "Boundary Element Method Solution Of Initial And Boundary Value Problems In Fluid Dynamics And Magnetohydrodynamics." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609552/index.pdf.

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In this thesis, the two-dimensional initial and boundary value problems invol-ving convection and diffusion terms are solved using the boundary element method (BEM). The fundamental solution of steady magnetohydrodynamic (MHD) flow equations in the original coupled form which are convection-diffusion type is established in order to apply the BEM directly to these coupled equations with the most general form of wall conductivities. Thus, the solutions of MHD flow in rectangular ducts and in infinite regions with mixed boundary conditions are obtained for high values of Hartmann number, M. For the solution of transient convection-diffusion type equations the dual reciprocity boundary element method (DRBEM) in space is combined with the differential quadrature method (DQM) in time. The DRBEM is applied with the fundamental solution of Laplace equation treating all the other terms in the equation as nonhomogeneity. The use of DQM eliminates the need of iteration and very small time increments since it is unconditionally stable. Applications include unsteady MHD duct flow and elastodynamic problems. The transient Navier-Stokes equations which are nonlinear in nature are also solved with the DRBEM in space - DQM in time procedure iteratively in terms of stream function and vorticity. The procedure is applied to the lid-driven cavity flow for moderate values of Reynolds number. The natural convection cavity flow problem is also solved for high values of Rayleigh number when the energy equation is added.
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7

Kalimeris, Konstantinos. "Initial and boundary value problems in two and three dimensions." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/225180.

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Анотація:
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an equilateral triangle; (c) computes the eigenvalues and eigenfunctions of the Laplace operator in the interior of an equilateral triangle for a variety of boundary conditions; (d) discusses the solution of several BVPs for the non-linear Schrödinger equation on the half line. In 1967 the Inverse Scattering Transform method was introduced; this method can be used for the solution of the initial value problem of certain integrable equations including the celebrated Korteweg-de Vries and nonlinear Schrödinger equations. The extension of this method from initial value problems to BVPs was achieved by Fokas in 1997, when a unified method for solving BVPs for both integrable nonlinear PDEs, as well as linear PDEs was introduced. This thesis applies "the Fokas method" to obtain the results mentioned earlier. For linear PDEs, the new method yields a novel integral representation of the solution in the spectral (transform) space; this representation is not yet effective because it contains certain unknown boundary values. However, the new method also yields a relation, known as "the global relation", which couples the unknown boundary values and the given boundary conditions. By manipulating the global relation and the integral representation, it is possible to eliminate the unknown boundary values and hence to obtain an effective solution involving only the given boundary conditions. This approach is used to solve several BVPs for elliptic equations in two dimensions, as well as the heat equation in the interior of an equilateral triangle. The implementation of this approach: (a) provides an alternative way for obtaining classical solutions; (b) for problems that can be solved by classical methods, it yields novel alternative integral representations which have both analytical and computational advantages over the classical solutions; (c) yields solutions of BVPs that apparently cannot be solved by classical methods. In addition, a novel analysis of the global relation for the Helmholtz equation provides a method for computing the eigenvalues and the eigenfunctions of the Laplace operator in the interior of an equilateral triangle for a variety of boundary conditions. Finally, for the nonlinear Schrödinger on the half line, although the global relation is in general rather complicated, it is still possible to obtain explicit results for certain boundary conditions, known as "linearizable boundary conditions". Several such explicit results are obtained and their significance regarding the asymptotic behavior of the solution is discussed.
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8

Mantzavinos, Dionyssios. "Initial-boundary value problems for linear and integrable nonlinear evolution PDEs." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610568.

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9

Ran, Yu. "Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/47930.

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Анотація:
The dissertation focuses on the initial boundary value problems (IBVPs) of a class of nonlinear Schrodinger equations posed on a half plane R x R+ and on a strip domain R x [0,L] with Dirichlet nonhomogeneous boundary data in a two-dimensional plane. Compared with pure initial value problems (IVPs), IBVPs over part of entire space with boundaries are more applicable to the reality and can provide more accurate data to physical experiments or practical problems. Although there is less research that has been made for IBVPs than that for IVPs, more attention has been paid for IBVPs recently. In particular, this thesis studies the local well-posedness of the equation for the appropriate initial and boundary data in Sobolev spaces H^s with non-negative s and investigates the global well-posedness in the H^1-space. The main strategy, especially for the local well-posedness, is to derive an equivalent integral equation (whose solution is called mild solution) from the original equation by semi-group theory and then perform the Banach fixed-point argument. However, along the process, it is essential to select proper auxiliary function spaces and prepare all the corresponding norm estimates to complete the argument. In fact, the IBVP posed on R x R+ and the one posed on R x [0,L] are two independent problems because the techniques adopted are different. The first problem is more related to the initial value problem (IVP) posed on the whole plane R^2 and the major ingredients are Strichartz's estimate and its generalized theory. On the other hand, the second problem can be studied as an IVP over a half-line and periodic domain, which is established on the analysis for series inspired by Bourgain's work. Moreover, the corresponding smoothing properties and regularity conditions of the solution are also considered.
Ph. D.
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10

Thornburg, Jonathan. "Coordinates and boundary conditions for the general relativistic initial data problem." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25060.

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Techniques for numerically constructing initial data in the 3+1 formalism of general relativity (GR) are studied, using the theoretical framework described in Bowen and York (1980), Physical Review D 21(8), 2047-2056. The two main assumptions made are maximal slicing and 3-conformal flatness of the generated spaces. For ease of numerical solution, axisymmetry is also assumed, but all the results should extend without difficulty to the non-axisymmetric case. The numerical code described in this thesis may be used to construct vacuum spaces containing arbitrary numbers of black holes, each with freely specifyable (subject to the axisymmetry assumption) position, mass, linear momentum, and angular momentum. It should be emphasised that the time evolution of these spaces has not yet been attempted. There are two significant innovations in this work: the use of a new boundary condition for the surfaces of the black holes, and the use of multiple coordinate patches in the numerical solution. The new boundary condition studied herein requires the inner boundary of the numerical grid to be a marginally trapped surface. This is in contrast to the approach used in much previous work on this problem area, which requires the constructed spaces to be conformally isometric under a "reflection mapping" which interchanges the interior of a specified black hole with the remainder of the space. The new boundary condition is found to be easy to implement, even for multiple black holes. It may also prove useful in time evolution problems. The coordinate choice scheme introduced in this thesis uses multiple coordinate patches in the numerical solution, each with a coordinate system suited to the local physical symmetries of the region of space it covers. Because each patch need only cover part of the space, the metrics on the individual patches can be kept simple, while the overall patch system still covers a complicated topology. The patches are linked together by interpolation across the interpatch boundaries. Bilinear interpolation suffices to give accuracy comparable with that of common second order difference schemes used in numerical GR. This use of multiple coordinate patches is found to work very well in both one and two black hole models, and should generalise to a wide variety of other numerical GR problems. Patches are also found to be a useful (if somewhat over-general) way of introducing spatially varying grid sizes into the numerical code. However, problems may arise when trying to use multiple patches in time evolution problems, in that the interpatch boundaries must not become spurious generators or reflectors of gravitational radiation, due to the interpolation errors. These problems have not yet been studied. The code described in this thesis is tested against Schwarzschild models and against previously published work using the Bowen and York formalism, reproducing the latter within the limits of error of the codes involved. A number of new spaces containing one and two black holes with linear or angular momentum are also constructed to demonstrate the code, although little analysis of these spaces has yet been done.
Science, Faculty of
Physics and Astronomy, Department of
Graduate
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Книги з теми "Initial boundary"

1

Koroński, Jan. Polyparabolic initial-boundary problems. Cracow: Cracow University of Technology, 1991.

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2

Leis, Rolf. Initial boundary value problems in mathematical physics. Stuttgart: B.G. Teubner, 1986.

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3

Sod, Gary A. Numerical methods in fluid dynamics: Initial and initial boundary-value problems. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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4

Leis, Rolf. Initial Boundary Value Problems in Mathematical Physics. Wiesbaden: Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-663-10649-4.

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5

Dyszlewicz, Janusz. Boundary and initial-boundary value problems of the micropolar theory of elasticity. Wrocław: Oficyna Wydawnicza Politechniki Wrocławskiej, 1997.

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6

Taira, Kazuaki. Analytic semigroups and semilinear initial boundary value problems. Cambridge: Cambridge University Press, 1995.

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7

Neta, Beny. Solution of linear initial value problems on a hypercube. Monterey, Calif: Naval Postgraduate School, 1988.

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8

Kreiss, H. Initial-boundary value problems and the Navier-Stokes equations. Boston: Academic Press, 1989.

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9

1949-, Lorenz Jens, and Society for Industrial and Applied Mathematics., eds. Initial-boundary value problems and the Navier-Stokes equations. Philadelphia, Pa: SIAM, 2004.

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10

Mee, C. V. M. van der and Protopopescu Vladimir, eds. Boundary value problems in abstract kinetic theory. Basel: Birkhäuser Verlag, 1987.

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Частини книг з теми "Initial boundary"

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Ibrahimbegovic, Adnan, and Naida Ademovicć. "Initial boundary value problem." In Nonlinear Dynamics of Structures Under Extreme Transient Loads, 1–21. First edition. | Boca Raton, FL : CRC Press/Taylor & Francis Group, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9781351052504-1.

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2

Zhou, Jian Guo. "Boundary and Initial Conditions." In Lattice Boltzmann Methods for Shallow Water Flows, 53–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08276-8_6.

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3

Griffiths, David F., John W. Dold, and David J. Silvester. "Boundary and Initial Data." In Springer Undergraduate Mathematics Series, 11–25. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22569-2_2.

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4

Krüger, Timm, Halim Kusumaatmaja, Alexandr Kuzmin, Orest Shardt, Goncalo Silva, and Erlend Magnus Viggen. "Boundary and Initial Conditions." In The Lattice Boltzmann Method, 153–230. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44649-3_5.

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5

Leach, J. A., and D. J. Needham. "The Initial-Boundary Value Problem." In Springer Monographs in Mathematics, 177–211. London: Springer London, 2004. http://dx.doi.org/10.1007/978-0-85729-396-1_8.

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6

Diersch, Hans-Jörg G. "Initial, Boundary and Constraint Conditions." In FEFLOW, 193–226. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38739-5_6.

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Sashegyi, Keith D., and Rangarao V. Madala. "Initial Conditions and Boundary Conditions." In Mesoscale Modeling of the Atmosphere, 1–12. Boston, MA: American Meteorological Society, 1994. http://dx.doi.org/10.1007/978-1-935704-12-6_1.

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Przeworska-Rolewicz, Danuta. "Initial and boundary value problems." In Algebraic Analysis, 219–305. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-1427-8_4.

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Gürlebeck, Klaus, Klaus Habetha, and Wolfgang Sprößig. "Some initial-boundary value problems." In Application of Holomorphic Functions in Two and Higher Dimensions, 265–301. Basel: Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-0348-0964-1_8.

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10

Heikkila, Walter J. "Initial condition for plasma transfer events." In Earth's Low-Latitude Boundary Layer, 157–68. Washington, D. C.: American Geophysical Union, 2003. http://dx.doi.org/10.1029/133gm16.

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Тези доповідей конференцій з теми "Initial boundary"

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Simões, N., A. Tadeu, and W. Mansur. "Conduction heat transfer with nonzero initial conditions using the Boundary Element Method in the frequency domain." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06015.

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2

Lu, Bo, and Guanxiu Yuan. "Initial boundary problem of nonlinear dispersion equation." In 2011 International Conference on Electronics, Communications and Control (ICECC). IEEE, 2011. http://dx.doi.org/10.1109/icecc.2011.6066600.

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Fedorov, Alexander, and Anatoli Tumin. "Initial value problem for hypersonic boundary layer flows." In 15th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-2781.

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4

Escher, Joachim, and Zhaoyang Yin. "Initial boundary value problems of the Degasperis-Procesi equation." In Parabolic and Navier–Stokes equations. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-10.

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5

Archibasov, Alexey A. "Reduction in initial boundary value problem for HIV evolution model." In International Conference Information Technology and Nanotechnology 2016. Samara State Aerospace University, Image Processing Systems Institute, Russian Academy of Sciences, 2016. http://dx.doi.org/10.18287/1613-0073-2016-1638-508-514.

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Walker, David, and Luciano Castillo. "The effect of the initial conditions on turbulent boundary layers." In 15th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-2912.

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Novozhilov, Vasily. "Effects of initial and boundary conditions on thermal explosion development." In ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972706.

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Zhu, Lei, and Ma Li. "Liver Contour Extraction using Snake and Initial Boundary Auto-Generation." In 2008 2nd International Conference on Bioinformatics and Biomedical Engineering (ICBBE '08). IEEE, 2008. http://dx.doi.org/10.1109/icbbe.2008.999.

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Velmisov, Petr, Andrey Ankilov, and Yulia Pokladova. "Stability of solutions of initial-boundary value problems in aerohydroelasticity." In PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5082083.

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Ogbureke, Kalu U., and Julie Carson-Berndsen. "Improving initial boundary estimation for HMM-based automatic phonetic segmentation." In Interspeech 2009. ISCA: ISCA, 2009. http://dx.doi.org/10.21437/interspeech.2009-267.

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Звіти організацій з теми "Initial boundary"

1

deRada, Sergio, and Igor Shulman. Evaluation of Global HYCOM Initial and Boundary Conditions. Fort Belvoir, VA: Defense Technical Information Center, September 2008. http://dx.doi.org/10.21236/ada533587.

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2

Pullen, Julie. HYCOM Initial and Boundary Conditions for Coupled COAMPS/NCOM. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada631041.

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3

Kindle, John, and Julie Pullen. Global HYCOM Initial and Boundary Conditions for Regional and Coastal Models. Fort Belvoir, VA: Defense Technical Information Center, September 2007. http://dx.doi.org/10.21236/ada573419.

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4

Behling, S. R. Computer code calculations of the TMI-2 accident: initial and boundary conditions. Office of Scientific and Technical Information (OSTI), May 1985. http://dx.doi.org/10.2172/5745654.

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5

Wagnild, Ross Martin, Neal Bitter, Jeffrey A. Fike, and Micah Howard. Direct Numerical Simulation of Hypersonic Turbulent Boundary Layer Flow using SPARC: Initial Evaluation. Office of Scientific and Technical Information (OSTI), September 2019. http://dx.doi.org/10.2172/1569350.

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6

Ott, L. J. Development of the BWR Dry Core Initial and Boundary Conditions for the SNL XR2 Experiments. Office of Scientific and Technical Information (OSTI), January 1994. http://dx.doi.org/10.2172/787733.

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7

Brower, R. W., L. J. Fackrell, D. W. Golden, M. L. Harris, and C. L. Olaveson. ICBC Version 3. 1: TMI-2 (Three Mile Island) Initial and Boundary Conditions data base. Office of Scientific and Technical Information (OSTI), January 1988. http://dx.doi.org/10.2172/5226177.

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8

R. Axford. Applications of Lie Groups and Gauge Functions to the Construction of Exact Difference Equations for Initial and Two-Point Boundary Value Problems. Office of Scientific and Technical Information (OSTI), August 2002. http://dx.doi.org/10.2172/810261.

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9

GA Young, R Najafabadi, W Strohmayer, J Vollmer, C Thompson, W Hamm, C Geller, et al. Applications of Ab Initio Modeling to Materials Science: Grain Boundary Cohesion and Solid State Diffusion. Office of Scientific and Technical Information (OSTI), May 2004. http://dx.doi.org/10.2172/824871.

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10

Matte, S., M. Constantin, and R. Stevenson. Mineralogical and geochemical characterisation of the Kipawa syenite complex, Quebec: implications for rare-earth element deposits. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329212.

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Анотація:
The Kipawa rare-earth element (REE) deposit is located in the Parautochton zone of the Grenville Province 55 km south of the boundary with the Superior Province. The deposit is part of the Kipawa syenite complex of peralkaline syenites, gneisses, and amphibolites that are intercalated with calc-silicate rocks and marbles overlain by a peralkaline gneissic granite. The REE deposit is principally composed of eudialyte, mosandrite and britholite, and less abundant minerals such as xenotime, monazite or euxenite. The Kipawa Complex outcrops as a series of thin, folded sheet imbricates located between regional metasediments, suggesting a regional tectonic control. Several hypotheses for the origin of the complex have been suggested: crustal contamination of mantle-derived magmas, crustal melting, fluid alteration, metamorphism, and hydrothermal activity. Our objective is to characterize the mineralogical, geochemical, and isotopic composition of the Kipawa complex in order to improve our understanding of the formation and the post-formation processes, and the age of the complex. The complex has been deformed and metamorphosed with evidence of melting-recrystallization textures among REE and Zr rich magmatic and post magmatic minerals. Major and trace element geochemistry obtained by ICP-MS suggest that syenites, granites and monzonite of the complex have within-plate A2 type anorogenic signatures, and our analyses indicate a strong crustal signature based on TIMS whole rock Nd isotopes. We have analyzed zircon grains by SEM, EPMA, ICP-MS and MC-ICP-MS coupled with laser ablation (Lu-Hf). Initial isotopic results also support a strong crustal signature. Taken together, these results suggest that alkaline magmas of the Kipawa complex/deposit could have formed by partial melting of the mantle followed by strong crustal contamination or by melting of metasomatized continental crust. These processes and origins strongly differ compare to most alkaline complexes in the world. Additional TIMS and LA-MC-ICP-MS analyses are planned to investigate whether all lithologies share the same strong crustal signature.
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