Relevant bibliographies by topics / Boundary value problems Interval analysis

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Boundary value problems Interval analysis'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Boundary value problems Interval analysis"

1

Weili, Zhao. "Singularly perturbed nonlinear boundary value problems on infinite interval." Journal of Differential Equations 81, no. 2 (1989): 340–67. http://dx.doi.org/10.1016/0022-0396(89)90128-9.

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Mitrea, Irina, and Warwick Tucker. "Interval analysis techniques for boundary value problems of elasticity in two dimensions." Journal of Differential Equations 233, no. 1 (2007): 181–98. http://dx.doi.org/10.1016/j.jde.2006.10.010.

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Rontó, Miklós, and Yana Varha. "Successive approximations and interval halving for integral boundary value problems." Miskolc Mathematical Notes 16, no. 2 (2015): 1129–52. http://dx.doi.org/10.18514/mmn.2015.1708.

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Bo, Fang-zhen, and Ji-jun Ao. "The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/175489.

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A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of the domain interval, and the boundary conditions (including the transmission conditions) given.
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Rodriguez, Jesus, and Daniel Sweet. "Discrete boundary value problems on infinite intervals." Journal of Difference Equations and Applications 7, no. 3 (2001): 435–43. http://dx.doi.org/10.1080/10236190108808280.

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Henderson, Johnny. "Best Interval Lengths for Boundary Value Problems for Third Order Lipschitz Equations." SIAM Journal on Mathematical Analysis 18, no. 2 (1987): 293–305. http://dx.doi.org/10.1137/0518023.

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Graef, John R., and Lingju Kong. "Existence results for nonlinear periodic boundary-value problems." Proceedings of the Edinburgh Mathematical Society 52, no. 1 (2009): 79–95. http://dx.doi.org/10.1017/s0013091507000788.

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AbstractWe study a class of second-order nonlinear differential equations on a finite interval with periodic boundary conditions. The nonlinearity in the equations can take negative values and may be unbounded from below. Criteria are established for the existence of non-trivial solutions, positive solutions and negative solutions of the problems under consideration. Applications of our results to related eigenvalue problems are also discussed. Examples are included to illustrate some of the results. Our analysis relies mainly on topological degree theory.
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Ma, Ruyun, Chenghua Gao, and Youji Xu. "Bifurcation interval for positive solutions to discrete second-order boundary value problems." Journal of Difference Equations and Applications 17, no. 9 (2011): 1251–65. http://dx.doi.org/10.1080/10236190903158982.

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Yurko, Vjacheslav Anatoljevich. "Spectral analysis for differential operators with singularities." Abstract and Applied Analysis 2004, no. 2 (2004): 165–82. http://dx.doi.org/10.1155/s1085337504310055.

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Nonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen- and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics.
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YUAN, CHENGJUN. "MULTIPLE POSITIVE SOLUTIONS FOR SEMIPOSITONE (n, p)-TYPE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS." Analysis and Applications 09, no. 01 (2011): 97–112. http://dx.doi.org/10.1142/s0219530511001753.

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In this paper, we consider the (n, p)-type boundary value problem of nonlinear fractional differential equation [Formula: see text] where λ is a parameter, α ∈ (n - 1, n] is a real number and n ≥ 3, 1 ≤ p ≤ α - 1 is fixed and integer, [Formula: see text] is the Riemann–Liouville's fractional derivative, and f is continuous and semipositone. We derive an interval of λ such that any λ lying in this interval, the semipositone boundary value problem has multiple positive solutions.
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Dissertations / Theses on the topic "Boundary value problems Interval analysis"

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Kuhn, Wolfgang. "Rigorous and reasonable error bounds for the numerical solution of dynamical systems." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/28941.

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Fogelklou, Oswald. "Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations." Doctoral thesis, Uppsala universitet, Analys och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-161314.

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This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. The problem in the first paper is one-dimensional; with one boundary condition given by an integral. The problem in the second paper is three-dimensional, and Dirichlet boundary conditions are used. Both problems have their origins in fluid dynamics. Paper III describes an inverse problem for the heat equation. Given the solution, a solution
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Sriskandasingam, Mayuran. "Non-homogeneous Boundary Value Problems of a Class of Fifth Order Korteweg-de Vries Equation posed on a Finite Interval." University of Cincinnati / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1626357151760691.

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Duong, Thanh-Binh, and mikewood@deakin edu au. "Application of real and functional analysis to solve boundary value problems." Deakin University. School of Computing and Mathematics, 2002. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20050915.111630.

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This thesis is about using appropriate tools in functional analysis arid classical analysis to tackle the problem of existence and uniqueness of nonlinear partial differential equations. There being no unified strategy to deal with these equations, one approaches each equation with an appropriate method, depending on the characteristics of the equation. The correct setting of the problem in appropriate function spaces is the first important part on the road to the solution. Here, we choose the setting of Sobolev spaces. The second essential part is to choose the correct tool for each equation.
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Chan, Kwok Cheung. "Shooting method for singularly perturbed two-point boundary value problems." HKBU Institutional Repository, 1998. http://repository.hkbu.edu.hk/etd_ra/274.

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Stanley, Lisa Gayle. "Computational Methods for Sensitivity Analysis with Applications to Elliptic Boundary Value Problems." Diss., Virginia Tech, 1999. http://hdl.handle.net/10919/28510.

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Sensitivity analysis is a useful mathematical tool for many designers, engineers and mathematicians. This work presents a study of sensitivity equation methods for elliptic boundary value problems posed on parameter dependent domains. The current focus of our efforts is the construction of a rigorous mathematical framework for sensitivity analysis and the subsequent development of efficient, accurate algorithms for sensitivity computation. In order to construct the framework, we use the classical theory of partial differential equations along with the method of mappings and the Implicit Funct
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Croft, Anthony C. "Sequence transformations and the solution of boundary value problems on unbounded domains." Thesis, Keele University, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278633.

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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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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 p
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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
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Kästner, Markus. "Advanced Numerical Modelling of Discontinuities in Coupled Boundary Value Problems." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-205475.

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Industrial development processes as well as research in physics, materials and engineering science rely on computer modelling and simulation techniques today. With increasing computer power, computations are carried out on multiple scales and involve the analysis of coupled problems. In this work, continuum modelling is therefore applied at different scales in order to facilitate a prediction of the effective material or structural behaviour based on the local morphology and the properties of the individual constituents. This provides valueable insight into the structure-property relations whi
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Books on the topic "Boundary value problems Interval analysis"

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Donal, O'Regan, ed. Infinite interval problems for differential, difference, and integral equations. Kluwer Academic Publishers, 2001.

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2

Baker, A. J. Analysis of boundary conditions for SSME subsonic internal viscous flow analysis. Computational Mechanics Corporation, 1986.

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Baker, A. J. Analysis of boundary conditions for SSME subsonic internal viscous flow analysis. Computational Mechanics Corporation, 1986.

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Fourier analysis and boundary value problems. Academic Pres, 1995.

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5

Area, Iván, Alberto Cabada, José Ángel Cid, et al., eds. Nonlinear Analysis and Boundary Value Problems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26987-6.

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Capogna, Luca, and Loredana Lanzani, eds. Harmonic Analysis and Boundary Value Problems. American Mathematical Society, 2001. http://dx.doi.org/10.1090/conm/277.

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Golden, John M. Boundary Value Problems in Linear Viscoelasticity. Springer Berlin Heidelberg, 1988.

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Gürlebeck, Klaus. Quaternionic analysis and elliptic boundary value problems. Akademie-Verlag, 1989.

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Gürlebeck, Klaus, and Wolfgang Sprößig. Quaternionic Analysis and Elliptic Boundary Value Problems. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7295-9.

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R, MacCluer C., ed. Boundary value problems and Fourier expansions. Dover Publications, 2004.

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Book chapters on the topic "Boundary value problems Interval analysis"

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Calderón, Lucila, María T. Martín, and Victoria Vampa. "Wavelet B-Splines Bases on the Interval for Solving Boundary Value Problems." In Applications of Wavelet Multiresolution Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61713-4_2.

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Reddy, B. Daya. "Elliptic boundary value problems." In Introductory Functional Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0575-3_9.

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Reddy, B. Daya. "Variational boundary value problems." In Introductory Functional Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0575-3_10.

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Agarwal, Ravi P., and Donal O’Regan. "Second Order Boundary Value Problems." In Infinite Interval Problems for Differential, Difference and Integral Equations. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0718-4_1.

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Agarwal, Ravi P., and Donal O’Regan. "Higher Order Boundary Value Problems." In Infinite Interval Problems for Differential, Difference and Integral Equations. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0718-4_2.

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Jovanović, Boško S., and Endre Süli. "Elliptic Boundary-Value Problems." In Analysis of Finite Difference Schemes. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-5460-0_2.

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

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Rogosin, Sergei V. "2D Free Boundary Value Problems." In Advances in Applied Analysis. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0417-2_6.

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Jacques, Ian, and Colin Judd. "Ordinary differential equations: boundary value problems." In Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-017-5471-2_8.

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Jacques, Ian, and Colin Judd. "Ordinary differential equations: boundary value problems." In Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3157-2_8.

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Conference papers on the topic "Boundary value problems Interval analysis"

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Vasilyev, Vladimir. "On discrete boundary value problems." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000647.

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Lagoudas, Dimitris C., Bjoern Kiefer, and Alicia J. Broederdorf. "Accurate Interpretation of Magnetic Shape Memory Alloy Experiments Utilizing Coupled Magnetostatic Analysis." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-15296.

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In order to build a reliable constitutive model for magnetic shape memory alloys (MSMAs) the availability of accurate experimental data for calibration and validation purposes is essential. However, the demagnetization effect and the resulting sample shape-dependent difference between the applied field and the internal field makes measurements of MSMAs properties difficult to interpret. Since for non-ellipsoidal specimen the internal magnetic field and thus the induced magnetization is nonuniform, standard demagnetization factors can not be applied without evaluation of the expected error. Fol
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Ashyralyev, Allaberen. "Nonlocal Boundary-Value Problems for PDE:Well-Posedness." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814746.

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"Modification of interval arithmetic in modeling uncertainty of boundary conditions in boundary value problems." In 23rd International Congress on Modelling and Simulation (MODSIM2019). Modelling and Simulation Society of Australia and New Zealand, 2019. http://dx.doi.org/10.36334/modsim.2019.a6.kapturczak.

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Skeel, Robert D., Ruijun Zhao, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Solving Geometric Two-Point Boundary Value Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636663.

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GNITKO, VASYL I., ARTEM O. KARAIEV, NEELAM CHOUDHARY, and ELENA A. STRELNIKOVA. "BOUNDARY ELEMENT METHOD ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH PERIODIC BOUNDARY CONDITIONS." In BEM/MRM44. WIT Press, 2021. http://dx.doi.org/10.2495/be440031.

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Zieniuk, Eugeniusz, Marta Kapturczak, and Krzysztof Szerszen. "Interval Arithmetics in Modeling and Solving Uncertainly Defined Boundary Value Problems of Elasticity." In 2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2019. http://dx.doi.org/10.1109/synasc49474.2019.00040.

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Grekov, Mikhail A. "Mathematical models of boundary value problems in nanomechanics." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992351.

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Kutaiba, Shaban, and Vladimir Vasilyev. "On solutions of certain limit boundary value problems." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026562.

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Tarasova, Oksana, and Vladimir Vasilyev. "On digital approximations for elliptic boundary value problems." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026573.

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