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Relevant bibliographies by topics / PERTURBED PROBLEM

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Academic literature on the topic 'PERTURBED PROBLEM'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "PERTURBED PROBLEM"

1

Vrábeľ, Róbert. "Quasilinear and quadratic singularly perturbed Neumann's problem." Mathematica Bohemica 123, no. 4 (1998): 405–10. http://dx.doi.org/10.21136/mb.1998.125970.

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Yarka, Ulyana, Solomiia Fedushko, and Peter Veselý. "The Dirichlet Problem for the Perturbed Elliptic Equation." Mathematics 8, no. 12 (2020): 2108. http://dx.doi.org/10.3390/math8122108.

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In this paper, the authors consider the construction of one class of perturbed problems to the Dirichlet problem for the elliptic equation. The operators of both problems are isospectral, which makes it possible to construct solutions to the perturbed problem using the Fourier method. This article focuses on the Dirichlet problem for the elliptic equation perturbed by the selected variable. We established the spectral properties of the perturbed operator. In this work, we found the eigenvalues and eigenfunctions of the perturbed task operator. Further, we proved the completeness, minimal spann

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3

Nurgabyl, D. N., and S. S. Nazhim. "Recovery problem for a singularly perturbed differential equation with an initial jump." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 100, no. 4 (2020): 125–35. http://dx.doi.org/10.31489/2020m4/125-135.

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The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump. Asymptotic estimates of the solution of the reconstruction problem are obtained for singularly perturbed second-order equations with an initial jump. The rules for the restoration of boundary conditions and the right parts of the original and degenerate problems are established. The asymptotic estimates of the solution of the perturbed problem are d

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4

Vrbik, Jan. "Two-body perturbed problem revisited." Canadian Journal of Physics 73, no. 3-4 (1995): 193–98. http://dx.doi.org/10.1139/p95-027.

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Quaternion formulation of a perturbed two-body problem is extended to include nonconservative forces, and the resulting algorithm is demonstrated using the classical example of the precession of apses.

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5

Gekeler, E. W. "On the Perturbed Eigenvalue Problem." Journal of Mathematical Analysis and Applications 191, no. 3 (1995): 540–46. http://dx.doi.org/10.1006/jmaa.1995.1147.

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6

Vrábeľ, Róbert. "Upper and lower solutions for singularly perturbed semilinear Neumann's problem." Mathematica Bohemica 122, no. 2 (1997): 175–80. http://dx.doi.org/10.21136/mb.1997.125912.

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7

Akmatov, A. "The Regularization Method of Solutions a Bisingularly Perturbed Problem in the Generalized Functions Space." Bulletin of Science and Practice 8, no. 2 (2022): 10–17. http://dx.doi.org/10.33619/2414-2948/75/01.

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When singularly perturbed problems are investigated, in the case of a change in stability, all work was performed in the space of analytical functions. Naturally, questions will arise whether it is possible to obtain an estimate of solutions to a singularly perturbed problem without moving to the complex plane. In the work, the first results obtained are the solutions of the singularly motivated task, not moving into the complex plane. For this purpose, a method of regularization in the space of generalized functions has been developed and corresponding estimates have been obtained. If we choo

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8

Han, Xinli, and Lijun Pan. "The Perturbed Riemann Problem with Delta Shock for a Hyperbolic System." Advances in Mathematical Physics 2018 (September 5, 2018): 1–11. http://dx.doi.org/10.1155/2018/4925957.

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In this paper, we study the perturbed Riemann problem with delta shock for a hyperbolic system. The problem is different from the previous perturbed Riemann problems which have no delta shock. The solutions to the problem are obtained constructively. From the solutions, we see that a delta shock in the corresponding Riemann solution may turn into a shock and a contact discontinuity under a perturbation of the Riemann initial data. This shows the instability and the internal mechanism of a delta shock. Furthermore, we find that the Riemann solution of the hyperbolic system is instable under thi

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9

PERJAN, ANDREI, and GALINA RUSU. "Two parameter singular perturbation problems for sine-Gordon type equations." Carpathian Journal of Mathematics 38, no. 1 (2021): 201–15. http://dx.doi.org/10.37193/cjm.2022.01.16.

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In the real Sobolev space $H_0^1(\Omega)$ we consider the Cauchy-Dirichlet problem for sine-Gordon type equation with strongly elliptic operators and two small parameters. Using some {\it a priori} estimates of solutions to the perturbed problem and a relationship between solutions in the linear case, we establish convergence estimates for the difference of solutions to the perturbed and corresponding unperturbed problems. We obtain that the solution to the perturbed problem has a singular behavior, relative to the parameters, in the neighbourhood of $t=0.$

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PERJAN, ANDREI, and GALINA RUSU. "Abstract linear second order differential equations with two small parameters and depending on time operators." Carpathian Journal of Mathematics 33, no. 2 (2017): 233–46. http://dx.doi.org/10.37193/cjm.2017.02.10.

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In a real Hilbert space H consider the following singularly perturbed Cauchy problem. We study the behavior of solutions uεδ to this problem in two different cases: ε → 0 and δ ≥ δ0 > 0; ε → 0 and δ → 0, relative to solution to the corresponding unperturbed problem. We obtain some a priori estimates of solutions to the perturbed problem, which are uniform with respect to parameters, and a relationship between solutions to both problems. We establish that the solution to the perturbed problem has a singular behavior, relative to the parameters, in the neighbourhood of t = 0. We show the boun

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Dissertations / Theses on the topic "PERTURBED PROBLEM"

1

Nguyen, Thi Phong. "Direct and inverse solvers for scattering problems from locally perturbed infinite periodic layers." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX004/document.

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Nous sommes intéressés dans cette thèse par l'analyse de la diffraction directe et inverse des ondes par des couches infinies périodiques localement perturbées à une fréquence fixe. Ce problème a des connexions avec le contrôle non destructif des structures périodiques telles que des structures photoniques, des fibres optiques, des réseaux, etc. Nous analysons d'abord le problème direct et établissons certaines conditions sur l'indice de réfraction pour lesquelles il n'existe pas de modes guidés. Ce type de résultat est important car il montre les cas pour lesquels les mesures peuvent être eff

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2

Kunert, Gerd. "Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes." Universitätsbibliothek Chemnitz, 2001. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100011.

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Singularly perturbed problems often yield solutions ith strong directional features, e.g. with boundary layers. Such anisotropic solutions lend themselves to adapted, anisotropic discretizations. The quality of the corresponding numerical solution is a key issue in any computational simulation. To this end we present a new robust error estimator for a singularly perturbed reaction-diffusion problem. In contrast to conventional estimators, our proposal is suitable for anisotropic finite element meshes. The estimator is based on the solution of a local problem, and yields error bounds uniformly

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3

Kunert, Gerd. "A note on the energy norm for a singularly perturbed model problem." Universitätsbibliothek Chemnitz, 2001. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100062.

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A singularly perturbed reaction-diffusion model problem is considered, and the choice of an appropriate norm is discussed. Particular emphasis is given to the energy norm. Certain prejudices against this norm are investigated and disproved. Moreover, an adaptive finite element algorithm is presented which exhibits an optimal error decrease in the energy norm in some simple numerical experiments. This underlines the suitability of the energy norm.

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4

Robert, Kieran Jean-Baptiste. "New approach to solving a spectral problem in a perturbed periodic waveguide." Thesis, Cardiff University, 2008. http://orca.cf.ac.uk/54692/.

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This thesis presents a numerical investigation of a problem on a semi infinite waveguide. The domain considered here is of a much more general form than those that have been considered using classical techniques. The motivation for this work originates from the work in 28, where unlike here, a perturbation technique was used to solve a simpler problem.

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5

Adkins, Jacob. "A Robust Numerical Method for a Singularly Perturbed Nonlinear Initial Value Problem." Kent State University Honors College / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=ksuhonors1513331499579714.

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6

Grosman, Serguei. "Robust local problem error estimation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600475.

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Singularly perturbed reaction-diffusion problems exhibit in general solutions with anisotropic features, e.g. strong boundary and/or interior layers. This anisotropy is reflected in the discretization by using meshes with anisotropic elements. The quality of the numerical solution rests on the robustness of the a posteriori error estimator with respect to both the perturbation parameters of the problem and the anisotropy of the mesh. An estimator that has shown to be one of the most reliable for reaction-diffusion problem is the <i>equilibrated residual method</i> and its modification done by

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7

Kunert, Gerd. "A posteriori H^1 error estimation for a singularly perturbed reaction diffusion problem on anisotropic meshes." Universitätsbibliothek Chemnitz, 2001. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100730.

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The paper deals with a singularly perturbed reaction diffusion model problem. The focus is on reliable a posteriori error estimators for the H^1 seminorm that can be applied to anisotropic finite element meshes. A residual error estimator and a local problem error estimator are proposed and rigorously analysed. They are locally equivalent, and both bound the error reliably. Furthermore three modifications of these estimators are introduced and discussed. Numerical experiments for all estimators complement and confirm the theoretical results.

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8

FUSE', ALESSANDRA. "ON THE STABILITY OF THE PERTURBED CENTRAL MOTION PROBLEM: A QUASICONVEXITY AND A NEKHOROSHEV TYPE RESULT." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/565234.

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The aim of this thesis is the study of the dynamics of small perturbations of the spatial central motion problem. Our main result consists in proving that if the central potential is analytic, then, except for the Harmonic and the Keplerian case, the unperturbed system written in action angle variables is quasiconvex. Thus, when it is perturbed, one can apply a Nekhoroshev type theorem ensuring the stability over exponentially long times of the modulus of the angular momentum and of the energy of the unperturbed system. Being a \emph{superintegrable} system, namely, a system which admit

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9

Dalla, Riva Matteo. "Potential theoretic methods for the analysis of singularly perturbed problems in linearized elasticity." Doctoral thesis, Università degli studi di Padova, 2008. http://hdl.handle.net/11577/3426270.

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The dissertation is made of two chapters. The first chapter is dedicated to the investigation of some properties of the layer potentials of a constant coefficient elliptic partial differential operator. In the second chapter, we focus our attention to the Lamè equations, which are related to the physic of an isotropic homogeneous elastic body. In particular, in the first chapter, we investigate the dependence of the single layer potential upon perturbation of the density, the support and the coefficients of the corresponding operator. Under some more restrictive assumptions on the operator,

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10

Zhang, Ningyi. "Inverse problem for wave propagation in a perturbed layered half-space and orthogonality relations in poroelastic materials." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 120 p, 2007. http://proquest.umi.com/pqdweb?did=1342733281&sid=1&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Books on the topic "PERTURBED PROBLEM"

1

Boglaev, Igor. Domain decomposition in boundary layers for a singularly perturbed parabolic problem. Faculty of Information and Mathematical Sciences, Massey University, 1997.

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2

Dalla Riva, Matteo, Massimo Lanza de Cristoforis, and Paolo Musolino. Singularly Perturbed Boundary Value Problems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76259-9.

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3

Barbu, Luminiţa, and Gheorghe Moroşanu. Singularly Perturbed Boundary-Value Problems. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8331-2.

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4

Gheorghe, Moroșanu, ed. Singularly perturbed boundary-value problems. Birkhäuser Verlag, 2007.

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5

Weak convergence methods and singularly perturbed stochastic control and filtering problems. Birkhäuser, 1990.

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6

Kushner, Harold J. Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4612-4482-0.

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7

Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8432-7.

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Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8434-1.

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9

Mazia, V. G. Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Springer Basel, 2000.

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10

Mazʹi︠a︡, V. G. Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Birkhäuser Verlag, 2000.

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Book chapters on the topic "PERTURBED PROBLEM"

1

Rummel, C., H. Hofmann, and J. Ankerhold. "Extensions of the Perturbed SPA." In The Nuclear Many-Body Problem 2001. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0460-2_30.

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2

Dalla Riva, Matteo, Massimo Lanza de Cristoforis, and Paolo Musolino. "A Dirichlet Problem in a Domain with Two Small Holes." In Singularly Perturbed Boundary Value Problems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76259-9_10.

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3

Dalla Riva, Matteo, Massimo Lanza de Cristoforis, and Paolo Musolino. "A Dirichlet Problem in a Domain with a Small Hole." In Singularly Perturbed Boundary Value Problems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76259-9_8.

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4

Wasow, Wolfgang. "A Singularly Perturbed Turning Point Problem." In Linear Turning Point Theory. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-1090-0_11.

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5

Deuring, Paul. "Resolvent Estimates for a Perturbed Oseen Problem." In Functional Analysis and Evolution Equations. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_11.

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6

Kushner, Harold J. "The Nonlinear Filtering Problem." In Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4612-4482-0_6.

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7

Cai, Chenxiao, Zidong Wang, Jing Xu, and Yun Zou. "The Sensitivity-Shaping Problem for Singularly Perturbed Systems." In Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45405-4_6.

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8

Salmon, G., J. J. Strodiot, and V. H. Nguyen. "A Perturbed Auxiliary Problem Method for Paramonotone Multivalued Mappings." In Nonconvex Optimization and Its Applications. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4613-0279-7_33.

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9

Banasiak, Jacek, and Mirosław Lachowicz. "Asymptotic Expansion Method in a Singularly Perturbed McKendrick Problem." In Methods of Small Parameter in Mathematical Biology. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05140-6_5.

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10

Rai, Pratima, and Kapil K. Sharma. "Singularly Perturbed Convection-Diffusion Turning Point Problem with Shifts." In Mathematical Analysis and its Applications. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2485-3_31.

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Conference papers on the topic "PERTURBED PROBLEM"

1

Armellin, Roberto, David Gondelach, and Juan Felix San Juan. "Multi-revolution perturbed Lambert problem." In 2018 Space Flight Mechanics Meeting. American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-1968.

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2

Tokmagambetov, Niyaz, and Gulzat Nalzhupbayeva. "Operator perturbed Cauchy problem for the Gellerstedt equation." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930524.

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3

Dalla Riva, M., and M. Lanza de Cristoforis. "Singularly perturbed loads for a nonlinear traction boundary value problem on a singularly perturbed domain." In Proceedings of the 7th International ISAAC Congress. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814313179_0004.

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4

"Asymptotics of solving a singularly perturbed boundary value problem." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.136.

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5

Vedula, Lalit, and N. Sri Namachchivaya. "Stochastically Perturbed Rotating Shafts." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21450.

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Abstract The objective of this work is to study the long term effects of small symmetry-breaking, dissipative and noisy perturbations on the dynamics of a rotating shaft. Hamilton’s principle is used to derive the equations of motion and a one mode Galerkin approximation is applied to obtain a two-degree-of-freedom (four dimensional) model. A stochastic averaging method is developed to reduce the dimension of this four dimensional system. Making use of the interaction between the gyroscopic and dissipative forces and the separation of time scales, the original system is reduced to a one dimens

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6

Myshkov, Stanislav K., and Vladimir V. Karelin. "Minimax control in the singularly perturbed linear-quadratic stabilization problem." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342130.

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7

Zhao, Yali, Qian Zhang, and Shuyi Zhang. "Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem." In 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/amms-17.2017.9.

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Sobolev, Vladimir. "Decomposition of Traveling Wave Existence Problem for Singularly Perturbed Equations." In 2020 International Conference on Information Technology and Nanotechnology (ITNT). IEEE, 2020. http://dx.doi.org/10.1109/itnt49337.2020.9253204.

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9

BOGLAEV, IGOR. "FINITE DIFFERENCE DOMAIN DECOMPOSITION FOR A SINGULARLY PERTURBED PARABOLIC PROBLEM." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0050.

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10

Kuznetsov, Evgenii, Sergey Leonov, and Katherine Tsapko. "On the exact solution of a singularly perturbed aerodynamic problem." In COMPUTATIONAL MECHANICS AND MODERN APPLIED SOFTWARE SYSTEMS (CMMASS’2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135674.

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Reports on the topic "PERTURBED PROBLEM"

1

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

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2

Garbey, M., and H. G. Kaper. Heterogeneous domain decomposition for singularly perturbed elliptic boundary value problems. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/510563.

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3

Kushner, Harold J. Functional Occupation Measures and Ergodic Cost Problems for Singularly Perturbed Stochastic Systems. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada208578.

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4

Adjerid, Slimane, Mohammed Aiffa, and Joseph E. Flaherty. High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada290410.

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Flaherty, Joseph E., and Robert E. O'Malley. Asymptotic and Numerical Methods for Singularly Perturbed Differential Equations with Applications to Impact Problems. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada169251.

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