Relevant bibliographies by topics / Oblique boundary value problem

Academic literature on the topic 'Oblique boundary value problem'

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Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Oblique boundary value problem"

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Turmetov, Batirkhan, Maira Koshanova, and Moldir Muratbekova. "On some analogues of periodic problems for Laplace equation with an oblique derivative under boundary conditions." e-Journal of Analysis and Applied Mathematics 2020, no. 1 (January 1, 2020): 13–27. http://dx.doi.org/10.2478/ejaam-2020-0002.

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AbstractIn this paper, we study solvability of new classes of nonlocal boundary value problems for the Laplace equation in a ball. The considered problems are multidimensional analogues (in the case of a ball) of classical periodic boundary value problems in rectangular regions. To study the main problem, first, for the Laplace equation, we consider an auxiliary boundary value problem with an oblique derivative. This problem generalizes the well-known Neumann problem and is conditionally solvable. The main problems are solved by reducing them to sequential solution of the Dirichlet problem and the problem with an oblique derivative. It is proved that in the case of periodic conditions, the problem is conditionally solvable; and in this case the exact condition for solvability of the considered problem is found. When boundary conditions are specified in the anti-periodic conditions form, the problem is certainly solvable. The obtained general results are illustrated with specific examples.
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Nazarova, Kulzina Zh, Batirkhan Kh Turmetov, and Kairat Id Usmanov. "On a nonlocal boundary value problem with an oblique derivative." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 22, no. 1 (March 31, 2020): 81–93. http://dx.doi.org/10.15507/2079-6900.22.202001.81-93.

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The work studies the solvability of a nonlocal boundary value problem for the Laplace equation. The nonlocal condition is introduced using transformations in the Rn space carried out by some orthogonal matrices. Examples and properties of such matrices are given. To study the main problem, an auxiliary nonlocal Dirichlet-type problem for the Laplace equation is first solved. This problem is reduced to a vector equation whose elements are the solutions of the classical Dirichlet probem. Under certain conditions for the boundary condition coefficients, theorems on uniqueness and existence of a solution to a problem of Dirichlet type are proved. For this solution an integral representation is also obtained, which is a generalization of the classical Poisson integral. Further, the main problem is reduced to solving a non-local Dirichlet-type problem. Theorems on existence and uniqueness of a solution to the problem under consideration are proved. Using well-known statements about solutions of a boundary value problem with an oblique derivative for the classical Laplace equation, exact orders of smoothness of a problem's solution are found. Examples are also given of the cases where the theorem conditions are not fulfilled. In these cases the solution is not unique.
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Nazarov, A. I., and N. N. Uraltseva. "The oblique boundary-value problem for a quasilinear parabolic equation." Journal of Mathematical Sciences 77, no. 3 (November 1995): 3212–20. http://dx.doi.org/10.1007/bf02364713.

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Bauer, Frank. "Split operators for oblique boundary value problems." Applicable Analysis 87, no. 1 (January 2008): 45–57. http://dx.doi.org/10.1080/00036810701603029.

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Díaz, G., J. I. Díaz, and J. Otero. "On an oblique boundary value problem related to the Backus problem in Geodesy." Nonlinear Analysis: Real World Applications 7, no. 2 (April 2006): 147–66. http://dx.doi.org/10.1016/j.nonrwa.2005.01.001.

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Borsuk, Mikhail. "Boundary value problems for singular p- and p(x)- Laplacian equations in a domain with conical point on the boundary." Ukrainian Mathematical Bulletin 17, no. 4 (December 13, 2020): 455–83. http://dx.doi.org/10.37069/1810-3200-2020-17-4-1.

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This paper is a survey of our last results about solutions to the Dirichlet and Robin boundary problems, the Robin transmission problem for an elliptic quasilinear second-order equation with the constant p- and variable p(x)-Laplacians, as well as to the degenerate oblique derivative problem for elliptic linear and quasilinear second-order equations in a conical bounded n-dimensional domain.
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Macák, Marek, Zuzana Minarechová, and Karol Mikula. "A novel scheme for solving the oblique derivative boundary-value problem." Studia Geophysica et Geodaetica 58, no. 4 (May 8, 2014): 556–70. http://dx.doi.org/10.1007/s11200-013-0340-x.

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Doumic, Marie. "Boundary Value Problem for an Oblique Paraxial Model of Light Propagation." Methods and Applications of Analysis 16, no. 1 (2009): 119–38. http://dx.doi.org/10.4310/maa.2009.v16.n1.a7.

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Gutting, Martin. "Fast multipole accelerated solution of the oblique derivative boundary value problem." GEM - International Journal on Geomathematics 3, no. 2 (May 30, 2012): 223–52. http://dx.doi.org/10.1007/s13137-012-0038-1.

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Jiang, Feida, Neil S. Trudinger, and Ni Xiang. "On the Neumann Problem for Monge-Ampére Type Equations." Canadian Journal of Mathematics 68, no. 6 (December 1, 2016): 1334–61. http://dx.doi.org/10.4153/cjm-2016-001-3.

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AbstractIn this paper, we study the global regularity for regular Monge-Ampère type equations associated with semilinear Neumann boundary conditions. By establishing a priori estimates for second order derivatives, the classical solvability of the Neumann boundary value problem is proved under natural conditions. The techniques build upon the delicate and intricate treatment of the standard Monge-Ampère case by Lions, Trudinger, and Urbas in 1986 and the recent barrier constructions and second derivative bounds by Jiang, Trudinger, and Yang for the Dirichlet problem. We also consider more general oblique boundary value problems in the strictly regular case.
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Dissertations / Theses on the topic "Oblique boundary value problem"

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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission problem. This method uses a boundary integral operator, the rotation operator, which factorises the double layer potential operator. We prove spectral estimates for this rotation operator in finite energy norms using Hodge decompositions on weakly Lipschitz domains. To ensure that solutions to the Dirac transmission problem indeed solve Maxwell’s equations, we introduce an exterior/interior derivative operator acting in the trace space. By showing that this operator commutes with the two basic reflection operators, we are able to prove that the Maxwell transmission problem is well posed. We also prove well-posedness for a class of oblique Dirac transmission problems with a strongly Lipschitz interface, in the L_2 space on the interface. This is shown by employing the Rellich technique, which gives angular spectral estimates on the rotation operator.
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Fei, Zhiling. "Refinements of geodectic boundary value problem solutions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0019/NQ54776.pdf.

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Bondarenko, Oleksandr. "Optimal Control for an Impedance Boundary Value Problem." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136.

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We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface impedance so that a desired scattering amplitude is achieved. We formulate this control problem within the framework of the minimization of a Tikhonov functional. In particular, questions of the existence of an optimal solution and the derivation of the optimality conditions will be addressed.
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Harutjunjan, Gohar, and Bert-Wolfgang Schulze. "The Zaremba problem with singular interfaces as a corner boundary value problem." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2685/.

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We study mixed boundary value problems for an elliptic operator A on a manifold X with boundary Y
i.e., Au = f in int X, T±u = g± on int Y±, where Y is subdivided into subsets Y± with an interface Z and boundary conditions T± on Y± that are Shapiro-Lopatinskij elliptic up to Z from the respective sides. We assume that Z ⊂ Y is a manifold with conical singularity v. As an example we consider the Zaremba problem, where A is the Laplacian and T− Dirichlet, T+ Neumann conditions. The problem is treated as a corner boundary value problem near v which is the new point and the main difficulty in this paper. Outside v the problem belongs to the edge calculus as is shown in [3]. With a mixed problem we associate Fredholm operators in weighted corner Sobolev spaces with double weights, under suitable edge conditions along Z {v} of trace and potential type. We construct parametrices within the calculus and establish the regularity of solutions.
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Mbiock, Aristide. "Radiative heat transfer in furnaces : elliptic boundary value problem." Rouen, 1997. http://www.theses.fr/1997ROUEA002.

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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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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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Wintz, Nick. "Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions." Huntington, WV : [Marshall University Libraries], 2004. http://www.marshall.edu/etd/descript.asp?ref=414.

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Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.

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We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvable. The construction of such operator has much in common with that of the familiar Dirichlet to Neumann operator. In the case of linear problems we establish complete results.
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Tamasan, Alexandru Cristian. "A two dimensional inverse boundary value problem in radiation transport /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/5752.

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Stamic̆ar, Robert Nikola. "A free boundary problem modelling zoning in rocks /." *McMaster only, 1998.

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Books on the topic "Oblique boundary value problem"

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I͡Anushauskas, Alʹgimantas Ionosovich. The oblique derivative problem of potential theory. New York: Consultants Bureau, 1989.

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Popivanov, Peter R. The degenerate oblique derivative problem for elliptic and parabolic equations. Berlin: Akademie Verlag, 1997.

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1951-, Weber Roman, ed. Radiation in enclosures: Elliptic boundary value problem. Berlin: Springer, 2000.

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Govorov, N. V. Riemann's boundary problem with infinite index. Basel: Birkhäuser Verlag, 1994.

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Vuik, C. The solution of a one-dimensional Stefan problem. Amsterdam, Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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The Stefan problem. Berlin: Walter de Gruyter, 1992.

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Sansò, Fernando, and Michael G. Sideris. Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46358-2.

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Hartley, T. T. Insights into the fractional order initial value problem via semi-infinite systems. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Gelderen, Martin van. The geodetic boundary value problem in two dimensions and its iterative solution. Delft, The Netherlands: Nederlandse Commissie voor Geodesie, 1991.

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Tsaoussi, Lucia S. A simulation study of the overdetermined geodetic boundary value problem using collocation. Columbus, Ohio: Dept. of Geodetic Science and Surveying, Ohio State University, 1989.

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Book chapters on the topic "Oblique boundary value problem"

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary-Value Problem." In Handbook of Geomathematics, 1049–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-01546-5_35.

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary Value Problem." In Handbook of Mathematical Geodesy, 491–516. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-57181-2_6.

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary-Value Problem." In Handbook of Geomathematics, 2285–315. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-54551-1_35.

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary-Value Problem." In Handbook of Geomathematics, 1–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-27793-1_35-2.

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary-Value Problem." In Handbook of Geomathematics, 1–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-27793-1_35-3.

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Grothaus, Martin, and Thomas Raskop. "Oblique Stochastic Boundary-Value Problem." In Handbook of Geomathematics, 1–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-27793-1_35-4.

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Freeden, Willi, and Carsten Mayer. "Multiscale Solution of Oblique Boundary-Value Problems by Layer Potentials." In International Association of Geodesy Symposia, 90–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10735-5_12.

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Čunderlík, Róbert, Marek Macák, Matej Medl’a, Karol Mikula, and Zuzana Minarechová. "Numerical Methods for Solving the Oblique Derivative Boundary Value Problems in Geodesy." In Handbuch der Geodäsie, 1–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-46900-2_105-1.

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Čunderlík, Róbert, Marek Macák, Matej Medl’a, Karol Mikula, and Zuzana Minarechová. "Numerical Methods for Solving the Oblique Derivative Boundary Value Problems in Geodesy." In Mathematische Geodäsie/Mathematical Geodesy, 575–622. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55854-6_105.

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Bradji, Abdallah. "Note on the Convergence of a Finite Volume Scheme Using a General Nonconforming Mesh for an Oblique Derivative Boundary Value Problem." In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 149–57. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05684-5_13.

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Conference papers on the topic "Oblique boundary value problem"

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Nihei, Yasunori, Sota Sugimoto, Takashi Tsubogo, Weiguang Bao, and Takeshi Kinoshita. "Non-Linear Wave Loads Acting on Obliquely Slowly Advancing Platform." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79627.

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It is necessary to evaluate wave drift force for ships advancing obliquely. There are some approaches, for instance the strip method, solving the Navier-Stokes equation directly in the fluid domain (CFD), potential theory and so on. In the present study, the non-linear wave loads acting on the ship with constant oblique forward speed is considered based on the potential theory. Consistent perturbation expansion based on two parameters, i.e. the incident wave slope and the ratio of the forward speed compared to the phase velocity of the waves, is performed on a moving frame (body-fixed) coordinate system to simplify the problem. So obtained boundary value problems for each order of potentials is solved by means of the hybrid method. The fluid domain is divided into two regions by an artificial circular cylinder surrounding the body. The potential in the inner region is expressed by an integral over the boundary surface with a Rankin source as its Green function while it is expressed in the eigen function expansion for the outer region. Consequently, the boundary value problems can be solved efficiently. In the present paper, the authors will discuss the effects of the obliquely advancing on the wave drift force in a diffraction wave field up to the order proportional to the advancing speed. An ellipsoid model is used in the calculation and the wave drift force is evaluated for various Froude number.
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Arhrrabi, Elhoussain, Abdellah Taqbibt, M'hamed Elomari, Said Melliani, and Lalla saadia Chadli. "Fuzzy fractional boundary value problem." In 2021 7th International Conference on Optimization and Applications (ICOA). IEEE, 2021. http://dx.doi.org/10.1109/icoa51614.2021.9442654.

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Gera, Amos. "A nonlinear boundary value problem in control." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268836.

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Ashyralyev, Allaberen, and Mahmut Modanli. "Nonlocal boundary value problem for telegraph equations." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930504.

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Priyadi, A., N. Yorino, M. Eghbal, Y. Zoka, Y. Sasaki, H. Yasuda, and H. Kakui. "Transient stability assessment as boundary value problem." In Energy Conference (EPEC). IEEE, 2008. http://dx.doi.org/10.1109/epc.2008.4763304.

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Fung, Hei Tao, and Kevin J. Parker. "Image interpolation as a boundary value problem." In Visual Communications and Image Processing '96, edited by Rashid Ansari and Mark J. T. Smith. SPIE, 1996. http://dx.doi.org/10.1117/12.233195.

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Кац, Давид. "Riemann's boundary value problem for bianalytic functions." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh1t-2021-10-06.74.

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Torebek, Berikbol T., and Batirkhan Kh Turmetov. "On solvability of exterior boundary value problem with fractional boundary condition." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930522.

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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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Wessel-Berg, D. "Solution to Boundary Value Problem Relevant in Upscaling." In ECMOR VI - 6th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 1998. http://dx.doi.org/10.3997/2214-4609.201406658.

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Reports on the topic "Oblique boundary value problem"

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Menken, Hamza. On the Inverse Problem of the Scattering Theory Fora Boundary-Value Problem. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-226-236.

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Kunisch, K., and L. W. White. Identifiability under Approximation for an Elliptic Boundary Value Problem. Fort Belvoir, VA: Defense Technical Information Center, April 1985. http://dx.doi.org/10.21236/ada158542.

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Ferguson, Warren E., and Jr. Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem. Fort Belvoir, VA: Defense Technical Information Center, July 1986. http://dx.doi.org/10.21236/ada172582.

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Heitman, Joshua L., Alon Ben-Gal, Thomas J. Sauer, Nurit Agam, and John Havlin. Separating Components of Evapotranspiration to Improve Efficiency in Vineyard Water Management. United States Department of Agriculture, March 2014. http://dx.doi.org/10.32747/2014.7594386.bard.

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Vineyards are found on six of seven continents, producing a crop of high economic value with much historic and cultural significance. Because of the wide range of conditions under which grapes are grown, management approaches are highly varied and must be adapted to local climatic constraints. Research has been conducted in the traditionally prominent grape growing regions of Europe, Australia, and the western USA, but far less information is available to guide production under more extreme growing conditions. The overarching goal of this project was to improve understanding of vineyard water management related to the critical inter-row zone. Experiments were conducted in moist temperate (North Carolina, USA) and arid (Negev, Israel) regions in order to address inter-row water use under high and low water availability conditions. Specific objectives were to: i) calibrate and verify a modeling technique to identify components of evapotranspiration (ET) in temperate and semiarid vineyard systems, ii) evaluate and refine strategies for excess water removal in vineyards for moist temperate regions of the Southeastern USA, and iii) evaluate and refine strategies for water conservation in vineyards for semi-arid regions of Israel. Several new measurement and modeling techniques were adapted and assessed in order to partition ET between favorable transpiration by the grapes and potentially detrimental water use within the vineyard inter-row. A micro Bowen ratio measurement system was developed to quantify ET from inter-rows. The approach was successful at the NC site, providing strong correlation with standard measurement approaches and adding capability for continuous, non-destructive measurement within a relatively small footprint. The environmental conditions in the Negev site were found to limit the applicability of the technique. Technical issues are yet to be solved to make this technique sufficiently robust. The HYDRUS 2D/3D modeling package was also adapted using data obtained in a series of intense field campaigns at the Negev site. The adapted model was able to account for spatial variation in surface boundary conditions, created by diurnal canopy shading, in order to accurately calculate the contribution of interrow evaporation (E) as a component of system ET. Experiments evaluated common practices in the southeastern USA: inter-row cover crops purported to reduce water availability and thereby favorably reduce grapevine vegetative growth; and southern Israel: drip irrigation applied to produce a high value crop with maximum water use efficiency. Results from the NC site indicated that water use by the cover crop contributed a significant portion of vineyard ET (up to 93% in May), but that with ample rainfall typical to the region, cover crop water use did little to limit water availability for the grape vines. A potential consequence, however, was elevated below canopy humidity owing to the increased inter-row evapotranspiration associated with the cover crops. This creates increased potential for fungal disease occurrence, which is a common problem in the region. Analysis from the Negev site reveals that, on average, E accounts for about10% of the total vineyard ET in an isolated dripirrigated vineyard. The proportion of ET contributed by E increased from May until just before harvest in July, which could be explained primarily by changes in weather conditions. While non-productive water loss as E is relatively small, experiments indicate that further improvements in irrigation efficiency may be possible by considering diurnal shading effects on below canopy potential ET. Overall, research provided both scientific and practical outcomes including new measurement and modeling techniques, and new insights for humid and arid vineyard systems. Research techniques developed through the project will be useful for other agricultural systems, and the successful synergistic cooperation amongst the research team offers opportunity for future collaboration.
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