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International Journal of Computer Mathematics Volume 73, 1999 - Issue 1
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Original Articles

Explicit pseudo two-step runge-kutta methods for parallel computersFootnote∗

Nguyen Huu Cong Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Sciences 90 Nguyen Trai, Dong Da , Hanoi, Vietnam
Pages 77-91 | Received 30 Sep 1998, Published online: 19 Mar 2007

Citations (10)

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Read on this site (2)

N. S. Hoang. (2021) Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems. International Journal of Computer Mathematics 98:12, pages 2423-2444.
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Nguyen Huu Cong & Le Ngoc Xuan. (2003) Parallel-Iterated RK-Type PC Methods With Continuous Output Formulas * This work was partly supported by N.R.P.F.S.. International Journal of Computer Mathematics 80:8, pages 1025-1035.
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Articles from other publishers (8)

Yonglei Fang, Xianfa Hu & Jiyong Li. (2020) Explicit pseudo two-step exponential Runge–Kutta methods for the numerical integration of first-order differential equations. Numerical Algorithms 86:3, pages 1143-1163.
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N.S. Hoang. (2015) Functionally-fitted explicit pseudo two-step Runge–Kutta–Nyström methods. Applied Numerical Mathematics 92, pages 111-131.
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Nguyen Huu Cong & Nguyen Thu Thuy. (2014) Parallel-iterated pseudo two-step Runge–Kutta methods with step size control. Japan Journal of Industrial and Applied Mathematics 31:2, pages 441-460.
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Nguyen Huu Cong & Nguyen Thu Thuy. (2011) Two-step-by-two-step PIRK-type PC methods based on Gauss–Legendre collocation points. Journal of Computational and Applied Mathematics 236:2, pages 225-233.
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Nguyen S. Hoang & Roger B. Sidje. (2009) Functionally fitted explicit pseudo two-step Runge?Kutta methods. Applied Numerical Mathematics 59:1, pages 39-55.
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Nguyen Huu Cong & Le Ngoc Xuan. (2008) Twostep-by-twostep PIRK-type PC methods with continuous output formulas. Journal of Computational and Applied Mathematics 221:1, pages 165-173.
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Nguyen Huu Cong & Le Ngoc Xuan. (2008) Improved parallel-iterated pseudo two-step RK methods for nonstiff IVPs. Applied Numerical Mathematics 58:2, pages 160-170.
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Nguyen Huu Cong & Taketomo Mitsui. (2003) Parallel predictor-corrector iteration of pseudo two-step RK methods for nonstiff IVPs. Japan Journal of Industrial and Applied Mathematics 20:1, pages 51-64.
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