Littérature scientifique sur le sujet « Implicit Runge-Kutta method »
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Articles de revues sur le sujet "Implicit Runge-Kutta method"
Liu, M. Y., L. Zhang et C. F. Zhang. « Study on Banded Implicit Runge–Kutta Methods for Solving Stiff Differential Equations ». Mathematical Problems in Engineering 2019 (10 octobre 2019) : 1–8. http://dx.doi.org/10.1155/2019/4850872.
Texte intégralHasan, M. Kamrul, M. Suzan Ahamed, M. S. Alam et M. Bellal Hossain. « An Implicit Method for Numerical Solution of Singular and Stiff Initial Value Problems ». Journal of Computational Engineering 2013 (26 septembre 2013) : 1–5. http://dx.doi.org/10.1155/2013/720812.
Texte intégralMuhammad, Raihanatu. « THE ORDER AND ERROR CONSTANT OF A RUNGE-KUTTA TYPE METHOD FOR THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ». FUDMA JOURNAL OF SCIENCES 4, no 2 (13 octobre 2020) : 743–48. http://dx.doi.org/10.33003/fjs-2020-0402-256.
Texte intégralAhmad, S. Z., F. Ismail, N. Senu et M. Suleiman. « Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems ». Abstract and Applied Analysis 2013 (2013) : 1–10. http://dx.doi.org/10.1155/2013/136961.
Texte intégralIMAI, Yohsuke, Takayuki Aoki et Tetsuya Kobara. « Implicit IDO scheme by using Runge-Kutta method ». Proceedings of The Computational Mechanics Conference 2003.16 (2003) : 151–52. http://dx.doi.org/10.1299/jsmecmd.2003.16.151.
Texte intégralJanezic, Dusanka, et Bojan Orel. « Implicit Runge-Kutta method for molecular dynamics integration ». Journal of Chemical Information and Modeling 33, no 2 (1 mars 1993) : 252–57. http://dx.doi.org/10.1021/ci00012a011.
Texte intégralChauhan, Vijeyata, et Pankaj Kumar Srivastava. « Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations ». International Journal of Mathematical, Engineering and Management Sciences 4, no 2 (1 avril 2019) : 375–86. http://dx.doi.org/10.33889/ijmems.2019.4.2-030.
Texte intégralGardner, David J., Jorge E. Guerra, François P. Hamon, Daniel R. Reynolds, Paul A. Ullrich et Carol S. Woodward. « Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models ». Geoscientific Model Development 11, no 4 (17 avril 2018) : 1497–515. http://dx.doi.org/10.5194/gmd-11-1497-2018.
Texte intégralHuang, Juntao, et Chi-Wang Shu. « A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model ». Mathematical Models and Methods in Applied Sciences 27, no 03 (mars 2017) : 549–79. http://dx.doi.org/10.1142/s0218202517500099.
Texte intégralCong, Y. H., et C. X. Jiang. « Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order ». Scientific World Journal 2014 (2014) : 1–7. http://dx.doi.org/10.1155/2014/147801.
Texte intégralThèses sur le sujet "Implicit Runge-Kutta method"
Roberts, Steven Byram. « Multimethods for the Efficient Solution of Multiscale Differential Equations ». Diss., Virginia Tech, 2021. http://hdl.handle.net/10919/104872.
Texte intégralDoctor of Philosophy
Almost all time-dependent physical phenomena can be effectively described via ordinary differential equations. This includes chemical reactions, the motion of a pendulum, the propagation of an electric signal through a circuit, and fluid dynamics. In general, it is not possible to find closed-form solutions to differential equations. Instead, time integration methods can be employed to numerically approximate the solution through an iterative procedure. Time integration methods are of great practical interest to scientific and engineering applications because computational modeling is often much cheaper and more flexible than constructing physical models for testing. Large-scale, complex systems frequently combine several coupled processes with vastly different characteristics. Consider a car where the tires spin at several hundred revolutions per minute, while the suspension has oscillatory dynamics that is orders of magnitude slower. The brake pads undergo periods of slow cooling, then sudden, rapid heating. When using a time integration scheme for such a simulation, the fastest dynamics require an expensive and small timestep that is applied globally across all aspects of the simulation. In turn, an unnecessarily large amount of work is done to resolve the slow dynamics. The goal of this dissertation is to explore new "multimethods" for solving differential equations where a single time integration method using a single, global timestep is inadequate. Multimethods combine together existing time integration schemes in a way that is better tailored to the properties of the problem while maintaining desirable accuracy and stability properties. This work seeks to overcome limitations on current multimethods, further the understanding of their stability, present new applications, and most importantly, develop methods with improved efficiency.
Ijaz, Muhammad. « Implicit runge-kutta methods to simulate unsteady incompressible flows ». Texas A&M University, 2007. http://hdl.handle.net/1969.1/85850.
Texte intégralBiehn, Neil David. « Implicit Runge-Kutta Methods for Stiff and Constrained Optimal Control Problems ». NCSU, 2001. http://www.lib.ncsu.edu/theses/available/etd-20010322-165913.
Texte intégralThe purpose of the research presented in this thesis is to better understand and improve direct transcription methods for stiff and state constrained optimal control problems. When some implicit Runge-Kutta methods are implemented as approximations to the dynamics of an optimal control problem, a loss of accuracy occurs when the dynamics are stiff or constrained. A new grid refinement strategy which exploits the variation of accuracy is discussed. In addition, the use of a residual function in place of classical error estimation techniques is proven to work well for stiff systems. Computational experience reveals the improvement in efficiency and reliability when the new strategies are incorporated as part of a direct transcription algorithm. For index three differential-algebraic equations, the solutions of some implicit Runge-Kutta methods may not converge. However, computational experience reveals apparent convergence for the same methods used when index three state inequality constraints become active. It is shown that the solution chatters along the constraint boundary allowing for better approximations. Moreover, the consistency of the nonlinear programming problem formed by a direct transcription algorithm using an implicit Runge-Kutta approximation is proven for state constraints of arbitrary index.
Al-Harbi, Saleh M. « Implicit Runge-Kutta methods for the numerical solution of stiff ordinary differential equation ». Thesis, University of Manchester, 1999. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.488322.
Texte intégralWood, Dylan M. « Solving Unsteady Convection-Diffusion Problems in One and More Dimensions with Local Discontinuous Galerkin Methods and Implicit-Explicit Runge-Kutta Time Stepping ». The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461181441.
Texte intégralSantos, Ricardo Dias dos. « Uma formulação implícita para o método Smoothed Particle Hydrodynamics ». Universidade do Estado do Rio de Janeiro, 2014. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=6751.
Texte intégralEm uma grande gama de problemas físicos, governados por equações diferenciais, muitas vezes é de interesse obter-se soluções para o regime transiente e, portanto, deve-se empregar técnicas de integração temporal. Uma primeira possibilidade seria a de aplicar-se métodos explícitos, devido à sua simplicidade e eficiência computacional. Entretanto, esses métodos frequentemente são somente condicionalmente estáveis e estão sujeitos a severas restrições na escolha do passo no tempo. Para problemas advectivos, governados por equações hiperbólicas, esta restrição é conhecida como a condição de Courant-Friedrichs-Lewy (CFL). Quando temse a necessidade de obter soluções numéricas para grandes períodos de tempo, ou quando o custo computacional a cada passo é elevado, esta condição torna-se um empecilho. A fim de contornar esta restrição, métodos implícitos, que são geralmente incondicionalmente estáveis, são utilizados. Neste trabalho, foram aplicadas algumas formulações implícitas para a integração temporal no método Smoothed Particle Hydrodynamics (SPH) de modo a possibilitar o uso de maiores incrementos de tempo e uma forte estabilidade no processo de marcha temporal. Devido ao alto custo computacional exigido pela busca das partículas a cada passo no tempo, esta implementação só será viável se forem aplicados algoritmos eficientes para o tipo de estrutura matricial considerada, tais como os métodos do subespaço de Krylov. Portanto, fez-se um estudo para a escolha apropriada dos métodos que mais se adequavam a este problema, sendo os escolhidos os métodos Bi-Conjugate Gradient (BiCG), o Bi-Conjugate Gradient Stabilized (BiCGSTAB) e o Quasi-Minimal Residual (QMR). Alguns problemas testes foram utilizados a fim de validar as soluções numéricas obtidas com a versão implícita do método SPH.
In a wide range of physical problems governed by differential equations, it is often of interest to obtain solutions for the unsteady state and therefore it must be employed temporal integration techniques. One possibility could be the use of an explicit methods due to its simplicity and computational efficiency. However, these methods are often only conditionally stable and are subject to severe restrictions for the time step choice. For advective problems governed by hyperbolic equations, this restriction is known as the Courant-Friedrichs-Lewy (CFL) condition. When there is the need to obtain numerical solutions for long periods of time, or when the computational cost for each time step is high, this condition becomes a handicap. In order to overcome this restriction implicit methods can be used, which are generally unconditionally stable. In this study, some implicit formulations for time integration are used in the Smoothed Particle Hydrodynamics (SPH) method to enable the use of larger time increments and obtain a strong stability in the time evolution process. Due to the high computational cost required by the particles tracking at each time step, the implementation will be feasible only if efficient algorithms were applied for this type of matrix structure such as Krylov subspace methods. Therefore, we carried out a study for the appropriate choice of methods best suited to this problem, and the methods chosen were the Bi-Conjugate Gradient (BiCG), the Bi-Conjugate Gradient Stabilized (BiCGSTAB) and the Quasi-Minimal Residual(QMR). Some test problems were used to validate the numerical solutions obtained with the implicit version of the SPH method.
Scandurra, Leonardo. « Numerical Methods for All Mach Number flows for Gas Dynamics ». Doctoral thesis, Università di Catania, 2017. http://hdl.handle.net/10761/4042.
Texte intégralAbuAlSaud, Moataz. « Simulation of 2-D Compressible Flows on a Moving Curvilinear Mesh with an Implicit-Explicit Runge-Kutta Method ». Thesis, 2012. http://hdl.handle.net/10754/244571.
Texte intégralRoskovec, Filip. « Numerické řešení nelineárních problémů konvekce-difuze pomocí adaptivních metod ». Master's thesis, 2014. http://www.nusl.cz/ntk/nusl-340765.
Texte intégralFRASCA, CACCIA GIANLUCA. « A new efficient implementation for HBVMs and their application to the semilinear wave equation ». Doctoral thesis, 2015. http://hdl.handle.net/2158/992629.
Texte intégralLivres sur le sujet "Implicit Runge-Kutta method"
Keeling, Stephen L. On implicit Runge-Kutta methods for parallel computations. Hampton, Va : ICASE, 1987.
Trouver le texte intégralCenter, Langley Research, dir. On implicit Runge-Kutta methods for parallel computations. Hampton, Va : National Aeronautics and Space Administration, Langley Research Center, 1987.
Trouver le texte intégralCenter, Langley Research, dir. On implicit Runge-Kutta methods for parallel computations. Hampton, Va : National Aeronautics and Space Administration, Langley Research Center, 1987.
Trouver le texte intégralLoon, M. van. Time-step enlargement for Runge-Kutta integration algorithms by implicit smoothing. Amsterdam : National Aerospace Laboratory, 1991.
Trouver le texte intégralDavidson, Lars. Implementation of a semi-implicit k-e turbulence model into an explicit Runge-Kutta Navier-Stokes code. Toulouse : CERFACS, 1990.
Trouver le texte intégralUnited States. National Aeronautics and Space Administration., dir. Flow simulations about steady-complex and unsteady moving configurations using structured-overlapped and unstructured grids : Abstract. [Washington, D.C : National Aeronautics and Space Administration, 1995.
Trouver le texte intégralNguyen, Hung. Interpolation and error control schemes for algebraic differential equations using continuous implicit Runge-Kutta methods. Toronto : University of Toronto, Dept. of Computer Science, 1995.
Trouver le texte intégralChapitres de livres sur le sujet "Implicit Runge-Kutta method"
Hecke, T., M. Daele, G. Berghe et H. Meyer. « P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method ». Dans Lecture Notes in Computer Science, 536–45. Berlin, Heidelberg : Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62598-4_135.
Texte intégralBouhamidi, A., et K. Jbilou. « A Fast Block Krylov Implicit Runge–Kutta Method for Solving Large-Scale Ordinary Differential Equations ». Dans Optimization, Simulation, and Control, 319–30. New York, NY : Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5131-0_20.
Texte intégralHairer, Ernst, et Gerhard Wanner. « Runge–Kutta Methods, Explicit, Implicit ». Dans Encyclopedia of Applied and Computational Mathematics, 1282–85. Berlin, Heidelberg : Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_144.
Texte intégralHairer, Ernst, et Gerhard Wanner. « Construction of Implicit Runge-Kutta Methods ». Dans Springer Series in Computational Mathematics, 71–90. Berlin, Heidelberg : Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-05221-7_5.
Texte intégralHairer, Ernst, et Gerhard Wanner. « Implementation of Implicit Runge-Kutta Methods ». Dans Springer Series in Computational Mathematics, 118–30. Berlin, Heidelberg : Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-05221-7_8.
Texte intégralStrehmel, Karl, et Rüdiger Weiner. « Linear-implizite Runge-Kutta-Methoden ». Dans Teubner-Texte zur Mathematik, 120–88. Wiesbaden : Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-10673-9_4.
Texte intégralStrehmel, Karl, et Rüdiger Weiner. « Partitionierte linear-implizite Runge-Kutta-Methoden ». Dans Teubner-Texte zur Mathematik, 189–236. Wiesbaden : Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-10673-9_5.
Texte intégralTrobec, Roman, Bojan Orel et Boštjan Slivnik. « Coarse-grain parallelisation of multi-implicit Runge-Kutta methods ». Dans Lecture Notes in Computer Science, 498–504. Berlin, Heidelberg : Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62598-4_131.
Texte intégralLindblad, E., D. M. Valiev, B. Müller, J. Rantakokko, P. Lütstedt et M. A. Liberman. « Implicit-explicit Runge-Kutta methods for stiff combustion problems ». Dans Shock Waves, 299–304. Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85168-4_47.
Texte intégralCordero-Carrión, Isabel, et Pablo Cerdá-Durán. « Partially Implicit Runge-Kutta Methods for Wave-Like Equations ». Dans Advances in Differential Equations and Applications, 267–78. Cham : Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06953-1_26.
Texte intégralActes de conférences sur le sujet "Implicit Runge-Kutta method"
Ma, Can, Xinrong Su, Jinlan Gou et Xin Yuan. « Runge-Kutta/Implicit Scheme for the Solution of Time Spectral Method ». Dans ASME Turbo Expo 2014 : Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26474.
Texte intégralKalogiratou, Zacharoula, Theodore Monovasilis et T. E. Simos. « A sixth order symmetric and symplectic diagonally implicit Runge-Kutta method ». Dans INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2014 (ICCMSE 2014). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4897862.
Texte intégralZhang, Zhizhu, et Yun Cai. « A Numerical Solution to the Point Kinetic Equations Using Diagonally Implicit Runge Kutta Method ». Dans 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60011.
Texte intégralKalogiratou, Z., Th Monovasilis, T. E. Simos, Theodore E. Simos, George Psihoyios, Ch Tsitouras et Zacharias Anastassi. « A Diagonally Implicit Symplectic Runge-Kutta Method with Minimum Phase-lag ». Dans NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011 : International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637001.
Texte intégralDo, Nguyen B., Aldo A. Ferri et Olivier Bauchau. « Efficient Simulation of a Dynamic System With LuGre Friction ». Dans ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85339.
Texte intégralSENU, N., M. SULEIMAN, F. ISMAIL et M. OTHMAN. « A SINGLY DIAGONALLY IMPLICIT RUNGE-KUTTA-NYSTRÖM METHOD WITH DISPERSION OF HIGH ORDER ». Dans Special Edition of the International MultiConference of Engineers and Computer Scientists 2011. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814390019_0009.
Texte intégralLiu, P. F., H. Wei, B. Li et B. Zhou. « Transient stability constrained optimal power flow using 2-stage diagonally implicit Runge-Kutta method ». Dans 2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC). IEEE, 2013. http://dx.doi.org/10.1109/appeec.2013.6837193.
Texte intégralWing, Moo Kwong, Norazak Senu, Mohamed Suleiman et Fudziah Ismail. « A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag ». Dans INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 : (ICFAS2012). AIP, 2012. http://dx.doi.org/10.1063/1.4757486.
Texte intégralFranco, Michael, Per-Olof Persson, Will Pazner et Matthew J. Zahr. « An Adjoint Method using Fully Implicit Runge-Kutta Schemes for Optimization of Flow Problems ». Dans AIAA Scitech 2019 Forum. Reston, Virginia : American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-0351.
Texte intégralZhang, Yining, Haochun Zhang, Yang Su et Guangbo Zhao. « A Comparative Study of 10 Different Methods on Numerical Solving of Point Reactor Neutron Kinetics Equations ». Dans 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67275.
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