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Theodore E. Simos. (2024) Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor–Corrector Algorithms. Symmetry 16:5, pages 508.
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Marina A. Medvedeva & T. E. Simos. (2024) An exceedingly effective and inexpensive two-step, fourteenth-order phase-fitting method for solving quantum chemical issues. Journal of Mathematical Chemistry 62:3, pages 761-801.
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Theodore Simos. (2024) A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions. Mathematics 12:4, pages 504.
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Yu Du, Chia-Liang Lin, Bin Sun & T. E. Simos. (2023) Solution of quantum chemical problems using an extremely successful and reasonably cost two-step, fourteenth-order phase-fitting approach. Journal of Mathematical Chemistry 61:10, pages 2045-2078.
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Marina A. Medvedeva & T. E. Simos. (2023) Solution of quantum chemical problems by a very effective and relatively inexpensive two-step, fourteenth-order, phase-fitting procedure. Journal of Mathematical Chemistry 61:9, pages 1888-1915.
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Wei Bao, Chia-Liang Lin, Bin Sun & T. E. Simos. (2023) Two-step, fourteenth-order, phase-fitting procedure with high efficiency and minimal cost for chemical problems. Journal of Mathematical Chemistry 61:8, pages 1797-1823.
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Chia-Liang Lin & T. E. Simos. (2023) Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry. Journal of Mathematical Chemistry 61:7, pages 1545-1569.
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Chia-Liang Lin & T. E. Simos. (2023) Phase-fitting, singularly P-stable, cost-effective two-step approach to solving problems in quantum chemistry with vanishing phase-lag derivatives up to order 6. Journal of Mathematical Chemistry 61:6, pages 1414-1452.
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Bin Sun, Chia-Liang Lin & T. E. Simos. (2022) Solution to quantum chemistry problems using a phase-fitting, singularly P-stable, cost-effective two-step approach with disappearing phase-lag derivatives up to order 5. Journal of Mathematical Chemistry 61:3, pages 455-489.
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Chia-Liang Lin & T. E. Simos. (2022) A Phase-Fitting Singularly P-Stable Cost-Effective Two-Step Method for Solving Chemistry Problems. Journal of Mathematical Chemistry 60:10, pages 2094-2124.
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Chia-Liang Lin & T. E. Simos. (2022) A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry. Journal of Mathematical Chemistry 60:8, pages 1632-1657.
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Bin Sun, Chia-Liang Lin & T. E. Simos. (2022) A phase-fitting, first and second derivatives phase-fitting singularly P-stable economical two-step method for problems in chemistry. Journal of Mathematical Chemistry 60:8, pages 1480-1504.
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Maxim A. Medvedev & T. E. Simos. (2022) A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry. Journal of Mathematical Chemistry 60:7, pages 1383-1404.
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Marina A. Medvedeva & T. E. Simos. (2022) A multistep method with optimal phase and stability properties for problems in quantum chemistry. Journal of Mathematical Chemistry 60:6, pages 937-968.
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Chia-Liang Lin & T. E. Simos. (2022) A multistep conditionally P-stable method with phase properties of high order for problems in quantum chemistry. Journal of Mathematical Chemistry 60:4, pages 637-665.
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Dmitry Generalov, Ekaterina Tsvetova, Ruslan Fedorov, Vladislav Kovalnogov & T. E. Simos. (2022) A two-step singularly P-stable method with high phase and large stability properties for problems in chemistry. Journal of Mathematical Chemistry 60:3, pages 475-501.
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Marina A. Medvedeva & T. E. Simos. (2021) A two-step method singularly P-stable with improved properties for problems in quantum chemistry. Journal of Mathematical Chemistry 60:2, pages 311-336.
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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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Maxim A. Medvedev & T. E. Simos. (2021) Two-step method with vanished phase-lag and its derivatives for problems in quantum chemistry: an economical case. Journal of Mathematical Chemistry 59:8, pages 1880-1916.
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Marina A. Medvedeva & T. E. Simos. (2021) An economical two-step method with improved phase and stability properties for problems in chemistry. Journal of Mathematical Chemistry 59:7, pages 1704-1737.
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Zheng Mingliang & T. E. Simos. (2021) A new improved economical finite difference method for problems in quantum chemistry. Journal of Mathematical Chemistry 59:7, pages 1738-1766.
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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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Yu-Yu Ma, Chia-Liang Lin & T. E. Simos. (2021) A new economical method with eliminated phase-lag and its derivative for problems in chemistry. Journal of Mathematical Chemistry 59:6, pages 1395-1428.
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Chia-Liang Lin & T. E. Simos. (2021) A new method with vanished phase-lag and its derivatives of the highest order for problems in quantum chemistry. Journal of Mathematical Chemistry 59:5, pages 1155-1200.
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Maxim A. Medvedev & T. E. Simos. (2021) A new FinDiff numerical scheme with phase-lag and its derivatives equal to zero for periodic initial value problems. Journal of Mathematical Chemistry 59:5, pages 1201-1233.
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Chia-Liang Lin & T. E. Simos. (2021) A new finite difference method with optimal phase and stability properties for problems in chemistry. Journal of Mathematical Chemistry 59:4, pages 951-984.
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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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Maxim A. Medvedev & T. E. Simos. (2021) Efficient FinDiff algorithm with optimal phase properties for problems in quantum chemistry. Journal of Mathematical Chemistry 59:3, pages 597-640.
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Maxim A. Medvedev & T. E. Simos. (2020) New FD scheme with vanished phase-lag and its derivatives up to order six for problems in chemistry. Journal of Mathematical Chemistry 58:10, pages 2324-2360.
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Zenggui Wang & T. E. Simos. (2020) A new algorithm with eliminated phase-lag and its derivatives up to order five for problems in quantum chemistry. Journal of Mathematical Chemistry 58:10, pages 2361-2398.
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Maxim A. Medvedev & T. E. Simos. (2020) A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry. Journal of Mathematical Chemistry 58:9, pages 2024-2060.
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Chia-Liang Lin & T. E. Simos. (2020) Complete in phase method for problems in chemistry. Journal of Mathematical Chemistry 58:9, pages 1785-1814.
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Zenggui Wang & T. E. Simos. (2020) A finite difference method with zero phase-lag and its derivatives for quantum chemistry problems. Journal of Mathematical Chemistry 58:8, pages 1680-1710.
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Marina A. Medvedeva & T. E. Simos. (2020) Phase fitted algorithm for problems in quantum chemistry. Journal of Mathematical Chemistry 58:8, pages 1499-1530.
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Jun Luo, Zhen Zhao, Chia-Liang Lin & T. E. Simos. (2020) Phase fitted method for quantum chemistry problems. Journal of Mathematical Chemistry 58:7, pages 1313-1336.
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Zhen Zhao, Jun Luo, Chia-Liang Lin & T. E. Simos. (2020) Full in phase finite difference algorithm for differential equations in quantum chemistry. Journal of Mathematical Chemistry 58:6, pages 1197-1218.
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Chia-Liang Lin & T. E. Simos. (2020) A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry. Journal of Mathematical Chemistry 58:6, pages 1091-1132.
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Xiaoping Chen & T. E. Simos. (2020) A phase fitted FiniteDiffr process for DiffrntEqutns in chemistry. Journal of Mathematical Chemistry 58:6, pages 1059-1090.
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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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Xunying Zhang & T. E. Simos. (2019) A multiple stage absolute in phase scheme for chemistry problems. Journal of Mathematical Chemistry 57:9, pages 2049-2074.
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Lidia Aceto, Paolo Ghelardoni & Cecilia Magherini. (2012)
PGSCM: A family of
-stable Boundary Value Methods for second-order initial value problems
. Journal of Computational and Applied Mathematics 236:16, pages 3857-3868.
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