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A new multistage multistep full in phase algorithm with optimized characteristics for problems in chemistry

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Abstract

In this paper and for the first time in this research discipline we form a new multistage multistep complete in phase method with meliorated properties. A theoretical, computational and numerical contemplation is also presented. The sufficiency of the new scheme is tried on using systems of coupled differential equations which represent quantum chemistry problems.

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Fuqing Branch of Fujian Normal University, Fuqing, 350300, People’s Republic of China

    Zhong Chen

  2. Department of Computer Science and Technology, Neusoft Institute Guangdong, Foshan, 528228, People’s Republic of China

    Chenglian Liu

  3. Economics and Management College, Zhaoqing University, Zhaoqing, 526061, People’s Republic of China

    Chieh-Wen Hsu

  4. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia

    T. E. Simos

  5. Group of Modern Computational Methods, Ural Federal University, 620002, 19 Mira Street, Ekaterinburg, Russian Federation

    T. E. Simos

  6. Department of Automation Engineering, TEI of Sterea Hellas, Psachna Campus, 34400, Psachna, Greece

    T. E. Simos

  7. Section of Mathematics, Department of Civil Engineering, Democritus University of Thrace, Xanthi, Greece

    T. E. Simos

  8. 10 Konitsis Street, Amfithea - Paleon Faliron, 175 64, Athens, Greece

    T. E. Simos

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  1. Zhong Chen
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Chen, Z., Liu, C., Hsu, CW. et al. A new multistage multistep full in phase algorithm with optimized characteristics for problems in chemistry. J Math Chem 57, 1112–1139 (2019). https://doi.org/10.1007/s10910-019-01011-6

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