Study of new accurate supplementary energy modeling with multi-components based on newly developed high resolution scheme

Shieh, Tzong-Hann; Li, Meng-Rong; Li, Yu-Tso

doi:10.1016/j.icheatmasstransfer.2019.04.003

Cited by 5 publications

(2 citation statements)

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“…In the proposed nPRM procedure, we derive the solution to the differential equation of the nPRM and propose adequate economic explanations of κ . Additionally, when κ > 0 we control its value by a gradient control method [ 36 ], and the nPRM is therefore more suited to real markets.…”

Section: Resultsmentioning

confidence: 99%

“…A gradient control method [ 36 ] is proposed to control the values of the gradient in a reasonable range. The κ t is a one-dimensional gradient in the nPRM, and we apply this method to κ t and restrict its value as where κ t , Q 3 is the third quantile from previous values of κ i , for i = t − j , ⋯, t − 1 and j ≥ 100 in the series we obtained.…”

Section: Methodsmentioning

confidence: 99%

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Study of Asian indexes by a newly derived dynamic model

et al. 2022

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We take the stock prices as a dynamic system and characterize its movements by a newly derived dynamic model, called the new Price Reversion Model (nPRM), for which the solution is derived and carefully analyzed under different circumstances. We also develop a procedure of applying the nPRM to real daily closing prices of a stock index. This proposed procedure brings a different perspective to the study of stock prices based on thermodynamics, and the time varying coefficients in the nPRM offer economic meanings of the stock movements. More specifically, the average of smoothed historical data A in the nPRM, analogous to the environment temperature in the Newton’s law of cooling, represent an implied equilibrium price. The heat transfer coefficient κ is adapted to be either negative or positive, which illustrates the speed of convergence or divergence of stock prices, respectively. The empirical study of ten Asian stock indexes shows that the nPRM accurately characterizes and forecasts the market values.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%