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A new four-stages two-step phase fitted scheme for problems in quantum chemistry

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Abstract

In this paper and for the first time in this research area we formulate a new multistage multistep full 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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  1. T. E. Simos

    Present address: , 10 Konitsis Street, Amfithea - Paleon Faliron, 17564, Athens, Greece

Authors and Affiliations

  1. Economics and Management College, Zhaoqing University, Zhaoqing, 526061, China

    Chieh-Wen Hsu

  2. Quanzhou Institute of Technology, Jinjiang, 362200, China

    Chialiang Lin

  3. School of Art, Ningbo Polytechnic, Ningbo, 315800, China

    Chialiang Lin

  4. Department of Computer Science and Technology, Neusoft Institute Guangdong, Foshan, 528228, China

    Chenglian Liu

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

    T. E. Simos

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

    T. E. Simos

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

    T. E. Simos

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

    T. E. Simos

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Hsu, CW., Lin, C., Liu, C. et al. A new four-stages two-step phase fitted scheme for problems in quantum chemistry. J Math Chem 57, 1201–1229 (2019). https://doi.org/10.1007/s10910-019-01018-z

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