Evolutionary Derivation of Sixth-Order P-stable SDIRKN Methods for the Solution of PDEs with the Method of Lines

Chialiang Lin, Jwu Jenq Chen, T. E. Simos, Ch Tsitouras

Результат исследований: Вклад в журнал › Статья › Научно-исследовательская › рецензирование

8 Цитирования (Scopus)
Язык оригиналаАнглийский
Номер статьи69
Число страниц17
ЖурналMediterranean Journal of Mathematics
Том16
Номер выпуска3
DOI
СостояниеОпубликовано - 1 июн 2019

Отпечаток

Method of Lines
Implicit Method
Partial differential equation
Initial Value Problem
Stiff Problems
Oscillatory Solution

Ключевые слова

    Предметные области ASJC Scopus

    • Mathematics(all)

    Предметные области WoS

    • Математика, Прикладная
    • Математика

    Цитировать

    Lin, Chialiang ; Chen, Jwu Jenq ; Simos, T. E. ; Tsitouras, Ch. / Evolutionary Derivation of Sixth-Order P-stable SDIRKN Methods for the Solution of PDEs with the Method of Lines. В: Mediterranean Journal of Mathematics. 2019 ; Том 16, № 3.
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    keywords = "differential evolution, Initial value problem, P-stability, semi-discretization of PDEs, Primary 65L04, 65L06, PREDICTOR-CORRECTOR METHOD, RUNGE-KUTTA, NUMEROV-TYPE METHODS, SCHRODINGER-EQUATION, 90C59, HIGH-ORDER, VANISHED PHASE-LAG, NUMERICAL-SOLUTION, EFFICIENT INTEGRATION, KUTTA-NYSTROM METHODS, 4-STEP METHODS, Secondary 65M20",
    author = "Chialiang Lin and Chen, {Jwu Jenq} and Simos, {T. E.} and Ch Tsitouras",
    year = "2019",
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    doi = "10.1007/s00009-019-1336-8",
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    Lin, C, Chen, JJ, Simos, TE & Tsitouras, C 2019, 'Evolutionary Derivation of Sixth-Order P-stable SDIRKN Methods for the Solution of PDEs with the Method of Lines' Mediterranean Journal of Mathematics, том. 16, № 3, 69. https://doi.org/10.1007/s00009-019-1336-8

    Evolutionary Derivation of Sixth-Order P-stable SDIRKN Methods for the Solution of PDEs with the Method of Lines. / Lin, Chialiang; Chen, Jwu Jenq; Simos, T. E.; Tsitouras, Ch.

    В: Mediterranean Journal of Mathematics, Том 16, № 3, 69, 01.06.2019.

    Результат исследований: Вклад в журнал › Статья › Научно-исследовательская › рецензирование

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    AU - Lin, Chialiang

    AU - Chen, Jwu Jenq

    AU - Simos, T. E.

    AU - Tsitouras, Ch

    PY - 2019/6/1

    Y1 - 2019/6/1

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    KW - Initial value problem

    KW - P-stability

    KW - semi-discretization of PDEs

    KW - Primary 65L04

    KW - 65L06

    KW - PREDICTOR-CORRECTOR METHOD

    KW - RUNGE-KUTTA

    KW - NUMEROV-TYPE METHODS

    KW - SCHRODINGER-EQUATION

    KW - 90C59

    KW - HIGH-ORDER

    KW - VANISHED PHASE-LAG

    KW - NUMERICAL-SOLUTION

    KW - EFFICIENT INTEGRATION

    KW - KUTTA-NYSTROM METHODS

    KW - 4-STEP METHODS

    KW - Secondary 65M20

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    DO - 10.1007/s00009-019-1336-8

    M3 - Article

    VL - 16

    JO - Mediterranean Journal of Mathematics

    JF - Mediterranean Journal of Mathematics

    SN - 1660-5446

    IS - 3

    M1 - 69

    ER -

    Lin C, Chen JJ, Simos TE, Tsitouras C. Evolutionary Derivation of Sixth-Order P-stable SDIRKN Methods for the Solution of PDEs with the Method of Lines. Mediterranean Journal of Mathematics. 2019 Июнь 1;16(3). 69. https://doi.org/10.1007/s00009-019-1336-8

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