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International Journal of Computer Mathematics Volume 69, 1998 - Issue 1-2
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Original Articles

Non-dissipative extended one-step methods for oscillatory problems

M. M. Chawla Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait
&
M. A. Al-Zanaidi Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait
Pages 85-100 | Received 14 May 1997, Published online: 30 Mar 2007

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K. Murugesan, D. Paul Dhayabaran, E.C. Henry Amirtharaj & DavidJ. Evans. (2001) A comparison of extended runge-kutta formulae based on variety of means to solve system of ivps. International Journal of Computer Mathematics 78:2, pages 225-252.
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S. Sallam. (2001) Sixth order non-dissipative C 1 spline collocation method for oscillatory ordinary initial value problems. International Journal of Computer Mathematics 76:4, pages 537-547.
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M.M Chawla, M.A Al-Zanaidi & D.J Evans. (2000) Non-dissipative time-integration schemes for the linear advection equation. International Journal of Computer Mathematics 73:4, pages 503-515.
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A. A. Karaballi. (1999) High-accuracy non-dissipative extended one-step methods for oscillatory problems. International Journal of Computer Mathematics 72:2, pages 253-269.
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Marina A. Medvedeva & T. E. Simos. (2021) A singularly P-stable two-step method with improved characteristics for problems in chemistry. Journal of Mathematical Chemistry 60:1, pages 70-91.
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Maxim A. Medvedev & T. E. Simos. (2021) A phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry. Journal of Mathematical Chemistry 60:1, pages 1-48.
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Marina A. Medvedeva & T. E. Simos. (2021) An economical two-step method with optimal phase and stability properties for problems in chemistry. Journal of Mathematical Chemistry 59:8, pages 1938-1975.
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Xingyuan Li, Chia-Liang Lin & T. E. Simos. (2021) A new method with improved phase-lag and stability properties for problems in quantum chemistry - an economical case. Journal of Mathematical Chemistry 59:7, pages 1571-1602.
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Mikhail Y. Borodulin. (2021) Explicit Runge-Kutta Methods with an Extended Stability Region: Accuracy Analysis and Applicability for Dynamic Simulation of Large Power Systems. Explicit Runge-Kutta Methods with an Extended Stability Region: Accuracy Analysis and Applicability for Dynamic Simulation of Large Power Systems.
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Zenggui Wang & T. E. Simos. (2021) New FD methods with phase-lag and its derivatives equal to zero for periodic initial value problems. Journal of Mathematical Chemistry 59:3, pages 641-675.
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Xing Tong & T. E. Simos. (2020) A complete in phase FinitDiff procedure for DiffEquns in chemistry. Journal of Mathematical Chemistry 58:2, pages 407-438.
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Sheng Hao & T. E. Simos. (2019) A phase fitted FinDiff process for DifEquns in quantum chemistry. Journal of Mathematical Chemistry 58:2, pages 353-381.
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Junjie Huang, Junlai Qiu & T. E. Simos. Symmetric seven–stages multistep perfect in phase embedded pairs (S7S2mSEMB). Symmetric seven–stages multistep perfect in phase embedded pairs (S7S2mSEMB).
Yu-Yu Ma, Chia-Liang Lin & T. E. Simos. (2019) An integrated in phase FD procedure for DiffEqns in chemical problems. Journal of Mathematical Chemistry 58:1, pages 6-28.
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Marina A. Medvedeva & T. E. Simos. (2019) An accomplished phase FD process for DEs in chemistry. Journal of Mathematical Chemistry 57:10, pages 2208-2228.
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Junlai Qiu, Junjie Huang & T. E. Simos. (2019) A perfect in phase FD algorithm for problems in quantum chemistry. Journal of Mathematical Chemistry 57:9, pages 2019-2048.
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