An existing low complexity, black box artificial neural network model (ANN model) is investigated towards its more general applicability in the field of high isobaric–isothermal inactivation of enzymes. The use of this non-linear modeling technique makes it possible to describe accurately...

In this paper, we use the Box numerical method to compute implied bond and option prices starting from the general CKLS interest rate model based on Japanese interbank data. In particular, we compute numerically implied prices from the CKLS, Vasicek, Cox–Ingersoll–Ross and Brennan–Schwartz...

Many processes in automatic regulation, physics, mechanics, biology, economy, ecology etc. can be modelled by hereditary equations (see, e.g. [1–6]). One of the main problems for the theory of stochastic hereditary equations and their applications is connected with stability. Many stability...

The Korteweg–de Vries equation has been generalized by Rosenau and Hyman [Compactons: Solitons with finite wavelength, Phys. Rev. Lett. 70(5) (1993) 564] to a class of partial differential equations that has soliton solutions with compact support (compactons). Compactons are solitary waves...

Different numerical methods are developed for solving retarded differential equations [1, 9]. Multistep numerical methods for general functional differential equations (FDE) were elaborated in [5, 10]. In contrast to those works presented in this paper, multistep numerical methods are based on...

The in vivo variable fluorescence of chlorophyll a is used as a non-intrusive probe of the physiological state of intact leaves. It was established that the origin of this signal is the antenna system of photosystem II (PSII). The PSII population is heterogeneous with respect to antenna size,...

The analysis of light-rays penetrating transparent media like air and water constitutes a pertinent problem in climatic research and in the development of algorithms for the retrieval of bio-geo-chemical parameters of suspended matter and dissolved pollutants from remotely sensed ocean colour...

We discuss the evaluation of the stability, position and width of resonances in four-dimensional symplectic mappings. The approach presented in this paper is based on the computation of the resonant perturbative series carried out by the program ARES. This piece of code allows to perform the...

The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields using the Hubbard–Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This makes it possible to perform the stochastic simulation of...

The traditional Monte Carlo simulation of order transitions in a ferromagnet (or in a binary crystalline alloy) is carried out by generating a sequence of local swaps (spin reversals or exchanges of atoms) on a finite lattice, each of which in turn is accepted or rejected according to...