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Статті в журналах з теми "Singularly Perturbed Differential Equation"
Kanth, A. S. V. Ravi, and P. Murali Mohan Kumar. "A Numerical Technique for Solving Nonlinear Singularly Perturbed Delay Differential Equations." Mathematical Modelling and Analysis 23, no. 1 (February 12, 2018): 64–78. http://dx.doi.org/10.3846/mma.2018.005.
Повний текст джерелаYüzbaşı, Şuayip, and Mehmet Sezer. "Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/493204.
Повний текст джерелаBattelli, Flaviano, and Michal Fečkan. "Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case." Mathematics 9, no. 19 (October 2, 2021): 2449. http://dx.doi.org/10.3390/math9192449.
Повний текст джерелаYUZBASI, SUAYIP, and NURCAN BAYKUS SAVASANERIL. "HERMITE POLYNOMIAL APPROACH FOR SOLVING SINGULAR PERTURBATED DELAY DIFFERENTIAL EQUATIONS." Journal of Science and Arts 20, no. 4 (December 30, 2020): 845–54. http://dx.doi.org/10.46939/j.sci.arts-20.4-a06.
Повний текст джерелаEt. al., M. Adilaxmi ,. "Solution Of Singularly Perturbed Delay Differential Equations Using Liouville Green Transformation." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 4 (April 11, 2021): 325–35. http://dx.doi.org/10.17762/turcomat.v12i4.510.
Повний текст джерелаDuressa, Gemechis File, Imiru Takele Daba, and Chernet Tuge Deressa. "A Systematic Review on the Solution Methodology of Singularly Perturbed Differential Difference Equations." Mathematics 11, no. 5 (February 22, 2023): 1108. http://dx.doi.org/10.3390/math11051108.
Повний текст джерелаBobodzhanov, A., B. Kalimbetov, and N. Pardaeva. "Construction of a regularized asymptotic solution of an integro-differential equation with a rapidly oscillating cosine." Journal of Mathematics and Computer Science 32, no. 01 (July 21, 2023): 74–85. http://dx.doi.org/10.22436/jmcs.032.01.07.
Повний текст джерелаSharip, B., and А. Т. Yessimova. "ESTIMATION OF A BOUNDARY VALUE PROBLEM SOLUTION WITH INITIAL JUMP FOR LINEAR DIFFERENTIAL EQUATION." BULLETIN Series of Physics & Mathematical Sciences 69, no. 1 (March 10, 2020): 168–73. http://dx.doi.org/10.51889/2020-1.1728-7901.28.
Повний текст джерелаZhumanazarova, Assiya, and Young Im Cho. "Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem." Mathematics 8, no. 2 (February 7, 2020): 213. http://dx.doi.org/10.3390/math8020213.
Повний текст джерелаVrábeľ, Róbert. "Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation." Mathematica Bohemica 121, no. 1 (1996): 73–76. http://dx.doi.org/10.21136/mb.1996.125946.
Повний текст джерелаДисертації з теми "Singularly Perturbed Differential Equation"
Mbroh, Nana Adjoah. "On the method of lines for singularly perturbed partial differential equations." University of the Western Cape, 2017. http://hdl.handle.net/11394/5679.
Повний текст джерелаMany chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions. Thus, it is necessary to recourse to numerical approaches to determine suitable approximations to the solution of such equations. For solutions possessing sharp spatial transitions (such as boundary or interior layers), standard numerical methods have shown limitations as they fail to capture large gradients. The method of lines (MOL) is one of the numerical methods used to solve PDEs. It proceeds by the discretization of all but one dimension leading to systems of ordinary di erential equations. In the case of time-dependent PDEs, the MOL consists of discretizing the spatial derivatives only leaving the time variable continuous. The process results in a system to which a numerical method for initial value problems can be applied. In this project we consider various types of singularly perturbed time-dependent PDEs. For each type, using the MOL, the spatial dimensions will be discretized in many different ways following fitted numerical approaches. Each discretisation will be analysed for stability and convergence. Extensive experiments will be conducted to confirm the analyses.
Song, Xuefeng. "Dynamic modeling issues for power system applications." Texas A&M University, 2003. http://hdl.handle.net/1969.1/1591.
Повний текст джерелаIragi, Bakulikira. "On the numerical integration of singularly perturbed Volterra integro-differential equations." University of the Western Cape, 2017. http://hdl.handle.net/11394/5669.
Повний текст джерелаEfficient numerical approaches for parameter dependent problems have been an inter- esting subject to numerical analysts and engineers over the past decades. This is due to the prominent role that these problems play in modeling many real life situations in applied sciences. Often, the choice and the e ciency of the approaches depend on the nature of the problem to solve. In this work, we consider the general linear first-order singularly perturbed Volterra integro-differential equations (SPVIDEs). These singularly perturbed problems (SPPs) are governed by integro-differential equations in which the derivative term is multiplied by a small parameter, known as "perturbation parameter". It is known that when this perturbation parameter approaches zero, the solution undergoes fast transitions across narrow regions of the domain (termed boundary or interior layer) thus affecting the convergence of the standard numerical methods. Therefore one often seeks for numerical approaches which preserve stability for all the values of the perturbation parameter, that is "numerical methods. This work seeks to investigate some "numerical methods that have been used to solve SPVIDEs. It also proposes alternative ones. The various numerical methods are composed of a fitted finite difference scheme used along with suitably chosen interpolating quadrature rules. For each method investigated or designed, we analyse its stability and convergence. Finally, numerical computations are carried out on some test examples to con rm the robustness and competitiveness of the proposed methods.
Davis, Paige N. "Localised structures in some non-standard, singularly perturbed partial differential equations." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/201835/1/Paige_Davis_Thesis.pdf.
Повний текст джерелаAdkins, 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.
Повний текст джерелаHöhne, Katharina. "Analysis and numerics of the singularly perturbed Oseen equations." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-188322.
Повний текст джерелаReibiger, Christian. "Optimal Control Problems with Singularly Perturbed Differential Equations as Side Constraints: Analysis and Numerics." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-162862.
Повний текст джерелаKaiser, Klaus [Verfasser], Sebastian [Akademischer Betreuer] Noelle, Jochen [Akademischer Betreuer] Schütz, and Claus-Dieter [Akademischer Betreuer] Munz. "A high order discretization technique for singularly perturbed differential equations / Klaus Kaiser ; Sebastian Noelle, Jochen Schütz, Claus-Dieter Munz." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1187251372/34.
Повний текст джерелаReibiger, Christian [Verfasser], Hans-Görg [Akademischer Betreuer] Roos, and Gert [Akademischer Betreuer] Lube. "Optimal Control Problems with Singularly Perturbed Differential Equations as Side Constraints: Analysis and Numerics / Christian Reibiger. Gutachter: Hans-Görg Roos ; Gert Lube. Betreuer: Hans-Görg Roos." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://d-nb.info/106909658X/34.
Повний текст джерелаRoos, Hans-Görg, and Martin Schopf. "Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales." Cambridge University Press, 2015. https://tud.qucosa.de/id/qucosa%3A39046.
Повний текст джерелаКниги з теми "Singularly Perturbed Differential Equation"
Scroggs, Jeffrey S. Shock-layer bounds for a singularly perturbed equation. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1990.
Знайти повний текст джерелаRoos, Hans-Görg, Martin Stynes, and Lutz Tobiska. Numerical Methods for Singularly Perturbed Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03206-0.
Повний текст джерелаF, Mishchenko E., ed. Asymptotic methods in singularly perturbed systems. New York: Consultants Bureau, 1994.
Знайти повний текст джерелаHomogenization in time of singularly perturbed mechanical systems. Berlin: Springer-Verlag, 1998.
Знайти повний текст джерелаMazʹi︠a︡, V. G. Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Basel: Birkhäuser Verlag, 2000.
Знайти повний текст джерелаBoglaev, Igor. Domain decomposition in boundary layers for a singularly perturbed parabolic problem. Palmerston North, N.Z: Faculty of Information and Mathematical Sciences, Massey University, 1997.
Знайти повний текст джерелаWang, Kelei. Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33696-6.
Повний текст джерелаRoos, Hans-Görg. Numerical methods for singularly perturbed differential equations: Convection-diffusion and flow problems. Berlin: Springer-Verlag, 1996.
Знайти повний текст джерелаAsymptotic behavior of monodromy: Singularly perturbed differential equations on a Riemann surface. Berlin: Springer-Verlag, 1991.
Знайти повний текст джерелаMazia, V. G. Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Basel: Springer Basel, 2000.
Знайти повний текст джерелаЧастини книг з теми "Singularly Perturbed Differential Equation"
Sharkovsky, A. N., Yu L. Maistrenko, and E. Yu Romanenko. "Singularly Perturbed Differential-Difference Equations." In Difference Equations and Their Applications, 239–72. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1763-0_10.
Повний текст джерелаO’Malley, Robert E. "Singularly Perturbed Initial Value Problems." In Singular Perturbation Methods for Ordinary Differential Equations, 22–91. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0977-5_2.
Повний текст джерелаO’Malley, Robert E. "Singularly Perturbed Boundary Value Problems." In Singular Perturbation Methods for Ordinary Differential Equations, 92–200. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0977-5_3.
Повний текст джерелаBauer, S. M., S. B. Filippov, A. L. Smirnov, P. E. Tovstik, and R. Vaillancourt. "Singularly Perturbed Linear Ordinary Differential Equations." In Asymptotic methods in mechanics of solids, 155–237. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18311-4_4.
Повний текст джерелаWang, Kelei. "The Limit Equation of a Singularly Perturbed System." In Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations, 95–105. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33696-6_7.
Повний текст джерелаFruchard, Augustin, and Reinhard Schäfke. "Composite Expansions and Singularly Perturbed Differential Equations." In Composite Asymptotic Expansions, 81–118. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34035-2_5.
Повний текст джерелаHaber, S., and N. Levinson. "A Boundary Value Problem for A Singularly Perturbed Differential Equation." In Selected Papers of Norman Levinson, 376–83. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-5332-7_35.
Повний текст джерелаLevinson, N. "A Boundary Value Problem for A Singularly Perturbed Differential Equation." In Selected Papers of Norman Levinson, 384–95. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-5332-7_36.
Повний текст джерелаHaber, S., and N. Levinson. "A Boundary Value Problem for a Singularly Perturbed Differential Equation." In Selected Papers of Norman Levinson Volume 1, 376–83. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-5341-9_35.
Повний текст джерелаLevinson, N. "A Boundary Value Problem for a Singularly Perturbed Differential Equation." In Selected Papers of Norman Levinson Volume 1, 384–95. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-5341-9_36.
Повний текст джерелаТези доповідей конференцій з теми "Singularly Perturbed Differential Equation"
GELFREICH, V., and L. M. LERMAN. "SLOW MANIFOLDS IN A SINGULARLY PERTURBED HAMILTONIAN SYSTEM." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0146.
Повний текст джерелаThang Nguyen and Zoran Gajic. "Solving the singularly perturbed matrix differential Riccati equation: A Lyapunov equation approach." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5530936.
Повний текст джерелаArora, Geeta, and Mandeep Kaur. "Numerical simulation of singularly perturbed differential equation with small shift." In RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES: RAFAS2016. Author(s), 2017. http://dx.doi.org/10.1063/1.4990346.
Повний текст джерелаWARD, MICHAEL J. "SPIKES FOR SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS AND CARRIER’S PROBLEM." In Differential Equations & Asymptotic Theory in Mathematical Physics. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702395_0003.
Повний текст джерелаButuzov, Valentin Fedorovich. "Singularly perturbed ODEs with multiple roots of the degenerate equation." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Moscow: Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc22964.
Повний текст джерелаDemir, Duygu Dönmez, and Erhan Koca. "The shooting method for the second order singularly perturbed differential equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952091.
Повний текст джерелаYadav, S., and S. Ganesan. "SPDE-ConvNet: Predict stabilization parameter for Singularly Perturbed Partial Differential Equation." In 8th European Congress on Computational Methods in Applied Sciences and Engineering. CIMNE, 2022. http://dx.doi.org/10.23967/eccomas.2022.258.
Повний текст джерелаDOELMAN, A., D. IRON, and Y. NISHIURA. "EDGE BIFURCATIONS IN SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS: A CASE STUDY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0130.
Повний текст джерелаDrǎgan, Vasile F., and Achim Ioniţǎ. "Exponential stability for singularly perturbed systems with state delays." In The 6'th Colloquium on the Qualitative Theory of Differential Equations. Szeged: Bolyai Institute, SZTE, 1999. http://dx.doi.org/10.14232/ejqtde.1999.5.6.
Повний текст джерелаMacutan, Y. O. "Formal solutions of scalar singularly-perturbed linear differential equations." In the 1999 international symposium. New York, New York, USA: ACM Press, 1999. http://dx.doi.org/10.1145/309831.309879.
Повний текст джерелаЗвіти організацій з теми "Singularly Perturbed Differential Equation"
Yan, Xiaopu. Singularly Perturbed Differential/Algebraic Equations. Fort Belvoir, VA: Defense Technical Information Center, October 1994. http://dx.doi.org/10.21236/ada288365.
Повний текст джерелаFlaherty, Joseph E., and Robert E. O'Malley. Asymptotic and Numerical Methods for Singularly Perturbed Differential Equations with Applications to Impact Problems. Fort Belvoir, VA: Defense Technical Information Center, May 1986. http://dx.doi.org/10.21236/ada169251.
Повний текст джерела