Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation

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Simos, T. E. “Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation”. Acta Applicandae Mathematicae, vol. 110, no. 3, 2009, pp. 1331-52, https://doi.org/10.1007/s10440-009-9513-6.
Simos, T. E. (2009). Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation. Acta Applicandae Mathematicae, 110(3), 1331-1352. https://doi.org/10.1007/s10440-009-9513-6
Simos, T. E. “Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation”. Acta Applicandae Mathematicae 110, no. 3 (2009): 1331-52. https://doi.org/10.1007/s10440-009-9513-6.
Simos TE. Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation. Acta Applicandae Mathematicae. 2009;110(3):1331-52.
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Category Category Repetition
Science: Mathematics6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Science: Physics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
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Citations
Title Journal Journal Categories Citations Publication Date
On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation Journal of Difference Equations and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 7 2021
A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation

 Open Mathematics
  • Science: Mathematics
  • Science: Mathematics
 2 2021
Explicit, Eighth-Order, Four-Step Methods for Solving $$y^{\prime \prime }=f(x,y)$$ Bulletin of the Malaysian Mathematical Sciences Society
  • Science: Mathematics
 9 2020
A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems

 Journal of Mathematics
  • Science: Mathematics
  • Science: Mathematics
 2 2020
Hybrid, phase–fitted, four–step methods of seventh order for solving x″(t) = f(t,x)

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 19 2019
Citations Analysis
Category Category Repetition
Science: Mathematics133
Science: Chemistry: General. Including alchemy92
Science: Chemistry92
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods24
Science: Physics5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science3
Technology: Engineering (General). Civil engineering (General)3
Science: Science (General)2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
The category Science: Mathematics 133 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A new two-step hybrid method for the numerical solution of the Schrödinger equation and was published in 2009. The most recent citation comes from a 2021 study titled A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation. This article reached its peak citation in 2018, with 25 citations. It has been cited in 20 different journals, 35% of which are open access. Among related journals, the Journal of Mathematical Chemistry cited this research the most, with 92 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year