Journal articles on the topic 'Implicit Runge-Kutta method'
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Liu, M. Y., L. Zhang, and C. F. Zhang. "Study on Banded Implicit Runge–Kutta Methods for Solving Stiff Differential Equations." Mathematical Problems in Engineering 2019 (October 10, 2019): 1–8. http://dx.doi.org/10.1155/2019/4850872.
Full textHasan, M. Kamrul, M. Suzan Ahamed, M. S. Alam, and M. Bellal Hossain. "An Implicit Method for Numerical Solution of Singular and Stiff Initial Value Problems." Journal of Computational Engineering 2013 (September 26, 2013): 1–5. http://dx.doi.org/10.1155/2013/720812.
Full textMuhammad, 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 (October 13, 2020): 743–48. http://dx.doi.org/10.33003/fjs-2020-0402-256.
Full textAhmad, S. Z., F. Ismail, N. Senu, and 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.
Full textIMAI, Yohsuke, Takayuki Aoki, and 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.
Full textJanezic, Dusanka, and Bojan Orel. "Implicit Runge-Kutta method for molecular dynamics integration." Journal of Chemical Information and Modeling 33, no. 2 (March 1, 1993): 252–57. http://dx.doi.org/10.1021/ci00012a011.
Full textChauhan, Vijeyata, and 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 (April 1, 2019): 375–86. http://dx.doi.org/10.33889/ijmems.2019.4.2-030.
Full textGardner, David J., Jorge E. Guerra, François P. Hamon, Daniel R. Reynolds, Paul A. Ullrich, and Carol S. Woodward. "Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models." Geoscientific Model Development 11, no. 4 (April 17, 2018): 1497–515. http://dx.doi.org/10.5194/gmd-11-1497-2018.
Full textHuang, Juntao, and 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 (March 2017): 549–79. http://dx.doi.org/10.1142/s0218202517500099.
Full textCong, Y. H., and 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.
Full textNguyen Thu, Thuy. "Parallel iteration of two-step Runge-Kutta methods." Journal of Science Natural Science 66, no. 1 (March 2021): 12–24. http://dx.doi.org/10.18173/2354-1059.2021-0002.
Full textDo, Nguyen B., Aldo A. Ferri, and Olivier A. Bauchau. "Efficient Simulation of a Dynamic System with LuGre Friction." Journal of Computational and Nonlinear Dynamics 2, no. 4 (March 18, 2007): 281–89. http://dx.doi.org/10.1115/1.2754304.
Full textGhawadri, Nizam, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail, and Zarina Ibrahim. "Diagonally Implicit Runge–Kutta Type Method for Directly Solving Special Fourth-Order Ordinary Differential Equations with Ill-Posed Problem of a Beam on Elastic Foundation." Algorithms 12, no. 1 (December 29, 2018): 10. http://dx.doi.org/10.3390/a12010010.
Full textBUTCHER, J. C. "PRACTICAL RUNGE–KUTTA METHODS FOR SCIENTIFIC COMPUTATION." ANZIAM Journal 50, no. 3 (January 2009): 333–42. http://dx.doi.org/10.1017/s1446181109000030.
Full textButcher, J. C., and D. J. L. Chen. "A new type of singly-implicit Runge–Kutta method." Applied Numerical Mathematics 34, no. 2-3 (July 2000): 179–88. http://dx.doi.org/10.1016/s0168-9274(99)00126-9.
Full textQiu, Ruofan, Rongqian Chen, and Yancheng You. "An implicit-explicit finite-difference lattice Boltzmann subgrid method on nonuniform meshes." International Journal of Modern Physics C 28, no. 04 (April 2017): 1750045. http://dx.doi.org/10.1142/s0129183117500450.
Full textNataliya Bondarenko and Vasiliy Pechuk. "CONSTRUCTION OF EXPLICIT RUNGE-KUTTA METHODS FOR MODELING OF DYNAMIC SYSTEMS WITH DELAY." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 99 (December 17, 2020): 16–27. http://dx.doi.org/10.32347/0131-579x.2020.99.16-27.
Full textWu, Jie, Xianbin Du, Yijiang Ma, and Peng Ren. "Research of Precise Time Integration Method and its Derived Formats on Helicopter Rotor Dynamics." International Journal of Computational Methods 17, no. 08 (July 9, 2019): 1950059. http://dx.doi.org/10.1142/s0219876219500592.
Full textAhmad, N. A., N. Senu, Z. B. Ibrahim, and M. Othman. "Stability Analysis of Diagonally Implicit Two Derivative Runge-Kutta methods for Solving Delay Differential Equations." Malaysian Journal of Mathematical Sciences 16, no. 2 (April 29, 2022): 215–35. http://dx.doi.org/10.47836/mjms.16.2.04.
Full textSenu, Norazak, Mohamed Suleiman, Fudziah Ismail, and Norihan Md Arifin. "New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs." Discrete Dynamics in Nature and Society 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/324989.
Full textSenu, Norazak, Nur Amirah Ahmad, Zarina Bibi Ibrahim, and Mohamed Othman. "Numerical Study on Phase-Fitted and Amplification-Fitted Diagonally Implicit Two Derivative Runge-Kutta Method for Periodic IVPS." Sains Malaysiana 50, no. 6 (June 30, 2021): 1799–814. http://dx.doi.org/10.17576/jsm-2021-5006-25.
Full textWilliams, Russell, Kevin Burrage, Ian Cameron, and Minnie Kerr. "A four-stage index 2 Diagonally Implicit Runge–Kutta method." Applied Numerical Mathematics 40, no. 3 (February 2002): 415–32. http://dx.doi.org/10.1016/s0168-9274(01)00090-3.
Full textXie, Dexuan. "An improved approximate Newton method for implicit Runge–Kutta formulas." Journal of Computational and Applied Mathematics 235, no. 17 (July 2011): 5249–58. http://dx.doi.org/10.1016/j.cam.2011.05.027.
Full textMahmoud, Sayed, and Xiaojun Chen. "A verified inexact implicit Runge–Kutta method for nonsmooth ODEs." Numerical Algorithms 47, no. 3 (February 19, 2008): 275–90. http://dx.doi.org/10.1007/s11075-008-9180-0.
Full textJator, S. N. "Implicit third derivative Runge-Kutta-Nyström method with trigonometric coefficients." Numerical Algorithms 70, no. 1 (November 15, 2014): 133–50. http://dx.doi.org/10.1007/s11075-014-9938-5.
Full textAttili, Basem S., Khalid Furati, and Muhammed I. Syam. "An efficient implicit Runge–Kutta method for second order systems." Applied Mathematics and Computation 178, no. 2 (July 2006): 229–38. http://dx.doi.org/10.1016/j.amc.2005.11.044.
Full textBaker, Donald L. "A Second-Order Diagonally Implicit Runge-Kutta Time-Stepping Method." Ground Water 31, no. 6 (November 1993): 890–95. http://dx.doi.org/10.1111/j.1745-6584.1993.tb00861.x.
Full textSommeijer, B. P. "A note on a diagonally implicit Runge-Kutta-Nyström method." Journal of Computational and Applied Mathematics 19, no. 3 (September 1987): 395–99. http://dx.doi.org/10.1016/0377-0427(87)90208-1.
Full textBruder, Jürgen. "Numerical results for a parallel linearly-implicit Runge-Kutta method." Computing 59, no. 2 (June 1997): 139–51. http://dx.doi.org/10.1007/bf02684476.
Full textIavernaro, Felice, and Francesca Mazzia. "A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods." Mathematics 9, no. 10 (May 13, 2021): 1103. http://dx.doi.org/10.3390/math9101103.
Full textRahim, Y. F., and M. E. H. Hafidzuddin. "THREE POINTS BLOCK EMBEDDED DIAGONALLY IMPLICIT RUNGE-KUTTA METHOD FOR SOLVING ODES." Advances in Mathematics: Scientific Journal 10, no. 11 (November 23, 2021): 3449–60. http://dx.doi.org/10.37418/amsj.10.11.6.
Full textHonda, Ryuma, Hiroki Suzuki, and Shinsuke Mochizuki. "Impact of difference between explicit and implicit second-order time integration schemes on isotropic/anisotropic steady incompressible turbulence field." Journal of Physics: Conference Series 2090, no. 1 (November 1, 2021): 012145. http://dx.doi.org/10.1088/1742-6596/2090/1/012145.
Full textUllrich, Paul, and Christiane Jablonowski. "Operator-Split Runge–Kutta–Rosenbrock Methods for Nonhydrostatic Atmospheric Models." Monthly Weather Review 140, no. 4 (April 2012): 1257–84. http://dx.doi.org/10.1175/mwr-d-10-05073.1.
Full textGorgey, Annie, and Nor Azian Aini Mat. "Efficiency of Runge-Kutta Methods in Solving Simple Harmonic Oscillators." MATEMATIKA 34, no. 1 (May 28, 2018): 1–12. http://dx.doi.org/10.11113/matematika.v34.n1.1039.
Full textHằng, Phạm Thị Thu. "PREDICTOR-CORRECTOR TECHNIQUE FOR IMPLEMENTING AN SIXTH ORDER IMPLICIT RUNGE-KUTTA METHOD." TNU Journal of Science and Technology 226, no. 15 (November 30, 2021): 60–67. http://dx.doi.org/10.34238/tnu-jst.5230.
Full textSharifi, Mohammad, Ali Abdi, Michal Braś, and Gholamreza Hojjati. "HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES." Mathematical Modelling and Analysis 28, no. 1 (January 19, 2023): 53–70. http://dx.doi.org/10.3846/mma.2023.16102.
Full textVan Hecke, T., M. Van Daele, G. Vanden Berghe, and H. De Meyer. "A mono-implicit Runge-Kutta-Nyström modification of the Numerov method." Journal of Computational and Applied Mathematics 78, no. 1 (February 1997): 161–77. http://dx.doi.org/10.1016/s0377-0427(96)00139-2.
Full textJanezic, Dusanka, and Roman Trobec. "Parallelization of an Implicit Runge-Kutta Method for Molecular Dynamics Integration." Journal of Chemical Information and Modeling 34, no. 3 (May 1, 1994): 641–46. http://dx.doi.org/10.1021/ci00019a025.
Full textCîrulis, T., and O. Lietuvietis. "DEGENERATE MATRIX METHOD FOR SOLVING NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS." Mathematical Modelling and Analysis 3, no. 1 (December 15, 1998): 45–56. http://dx.doi.org/10.3846/13926292.1998.9637085.
Full textABDULLE, ASSYR, and GILLES VILMART. "COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS." Mathematical Models and Methods in Applied Sciences 22, no. 06 (April 26, 2012): 1250002. http://dx.doi.org/10.1142/s0218202512500029.
Full textLi, Qin, and Xu Yang. "Exponential Runge-Kutta Methods for the Multispecies Boltzmann Equation." Communications in Computational Physics 15, no. 4 (April 2014): 996–1011. http://dx.doi.org/10.4208/cicp.010113.160813s.
Full textOje, Eric Augustine, and Aggrey Eric Majuk. "SEMI-IMPLICIT RATIONAL RUNGE-KUTTA METHOD OF SOLVING SECOND ORDER DIFFERENTIAL EQUATION." International Journal of Engineering Applied Sciences and Technology 04, no. 09 (January 30, 2020): 104–15. http://dx.doi.org/10.33564/ijeast.2020.v04i09.011.
Full textImoni, S. O., F. O. Otunta, and T. R. Ramamohan. "Embedded implicit Runge–Kutta Nyström method for solving second-order differential equations." International Journal of Computer Mathematics 83, no. 11 (November 2006): 777–84. http://dx.doi.org/10.1080/00207160601084505.
Full textOzawa, Kazufumi. "A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method." Japan Journal of Industrial and Applied Mathematics 22, no. 3 (October 2005): 403–27. http://dx.doi.org/10.1007/bf03167492.
Full textLiao, Wenyuan, and Yulian Yan. "Singly diagonally implicit runge-kutta method for time-dependent reaction-diffusion equation." Numerical Methods for Partial Differential Equations 27, no. 6 (April 26, 2010): 1423–41. http://dx.doi.org/10.1002/num.20589.
Full textLi, Liang, and Songping Wu. "A Hybrid Time Integration Scheme for the Discontinuous Galerkin Discretizations of Convection-Dominated Problems." Energies 13, no. 8 (April 11, 2020): 1870. http://dx.doi.org/10.3390/en13081870.
Full textLee, Hyun Geun. "Stability Condition of the Second-Order SSP-IMEX-RK Method for the Cahn–Hilliard Equation." Mathematics 8, no. 1 (December 19, 2019): 11. http://dx.doi.org/10.3390/math8010011.
Full textVan Lent, Jan, and Stefan Vandewalle. "Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs." SIAM Journal on Scientific Computing 27, no. 1 (January 2005): 67–92. http://dx.doi.org/10.1137/030601144.
Full textTong, T. O., M. C. Kekana, M. Y. Shatalov, and S. P. Moshokoa. "Accuracy Tests on Built-In Algorithms Applied to the Lorenz System." Journal of Computational and Theoretical Nanoscience 16, no. 10 (October 1, 2019): 4064–71. http://dx.doi.org/10.1166/jctn.2019.8486.
Full textYu, Jui-Ling. "Adaptive Optimal -Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems." Journal of Applied Mathematics 2011 (2011): 1–25. http://dx.doi.org/10.1155/2011/389207.
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