Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation
作者: Dmitriy B. BergT. E. Simos
作者单位: 1Ural Federal University
2University of Peloponnese
刊名: Journal of Mathematical Chemistry, 2017, Vol.55 (5), pp.1213-1235
来源数据库: Springer Journal
DOI: 10.1007/s10910-017-0738-8
关键词: Schrödinger equationMultistep methodsMultistage methodsInterval of periodicityPhase-lagPhase-fittedDerivatives of the phase-lag65L05
英文摘要: For the first time in the literature we develop in this paper a three stages symmetric six-step scheme with twelfth algebraic and eliminated phase-lag and its first derivative. An additional characteristic of the new scheme is that the first and the second layer denote the approximation of the function on the point \(x_{n+3}\) . We also present a local truncation error analysis and a stability and interval of periodicity analysis and we compared the new scheme with the classical scheme (i.e. scheme with constant coefficients). Additionally, we examine in details the accuracy and computational efficiency of the new developed scheme on the numerical solution of the Schrödinger equation. The study and investigation which are presented in this paper, lead to the conclusion that the new...
原始语种摘要: For the first time in the literature we develop in this paper a three stages symmetric six-step scheme with twelfth algebraic and eliminated phase-lag and its first derivative. An additional characteristic of the new scheme is that the first and the second layer denote the approximation of the function on the point \(x_{n+3}\) . We also present a local truncation error analysis and a stability and interval of periodicity analysis and we compared the new scheme with the classical scheme (i.e. scheme with constant coefficients). Additionally, we examine in details the accuracy and computational efficiency of the new developed scheme on the numerical solution of the Schrödinger equation. The study and investigation which are presented in this paper, lead to the conclusion that the new...
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:1.226 (2012)

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关键词翻译
关键词翻译
  • equation 方程
  • solution 溶液
  • symmetric 对称的
  • dinger 铁道终点站站长
  • scheme 略图
  • constant 常数
  • first 第一
  • periodicity 周期性
  • interval 区间
  • effective 有效的