## Abstract

In the problem of numerical simulation of charged particles transportation and decay processes an effective algorithm is need for rather a fast and precise calculation of the values of the magnetic field in any point of the region under study. In this paper the calculation of the component of the magnetic field is suggested in the polynomial form. The choice of optimal value of the D{sub i,k} coefficients of the function P{sub i}(z),i=1-N was made via evolutional solution of a series of the nonlinear problem. The researching of the choice of optimal quantity of expansion coefficients was performed in the way of evolution of solving a set of nonlinear problems. For the programs simulating the decay processes and the charged particles transporation such an approach of computing the components of the magnetic field does not need a large memory capacity and computing time as well, but simultaneously gives quite full information about distribution of the magnetic field in the part of the region where its measurements were not performed. The accuracy estimations of the magnetic field approximations are given. 6 refs.; 5 figs.; 3 tabs.

## Citation Formats

Kirillov, D A, Kutov, A Ya, Lima, S, Panasik, V A, Polyakova, R V, and Yudin, I P.
Polynominal approximation of measured magnetic field components of EXCHARM spectrometer; Polinomial`noe predstavlenie komponent izmerennogo magnitnogo polya spektrometra EhKSChARM.
JINR: N. p.,
1992.
Web.

Kirillov, D A, Kutov, A Ya, Lima, S, Panasik, V A, Polyakova, R V, & Yudin, I P.
Polynominal approximation of measured magnetic field components of EXCHARM spectrometer; Polinomial`noe predstavlenie komponent izmerennogo magnitnogo polya spektrometra EhKSChARM.
JINR.

Kirillov, D A, Kutov, A Ya, Lima, S, Panasik, V A, Polyakova, R V, and Yudin, I P.
1992.
"Polynominal approximation of measured magnetic field components of EXCHARM spectrometer; Polinomial`noe predstavlenie komponent izmerennogo magnitnogo polya spektrometra EhKSChARM."
JINR.

@misc{etde_10109713,

title = {Polynominal approximation of measured magnetic field components of EXCHARM spectrometer; Polinomial`noe predstavlenie komponent izmerennogo magnitnogo polya spektrometra EhKSChARM}

author = {Kirillov, D A, Kutov, A Ya, Lima, S, Panasik, V A, Polyakova, R V, and Yudin, I P}

abstractNote = {In the problem of numerical simulation of charged particles transportation and decay processes an effective algorithm is need for rather a fast and precise calculation of the values of the magnetic field in any point of the region under study. In this paper the calculation of the component of the magnetic field is suggested in the polynomial form. The choice of optimal value of the D{sub i,k} coefficients of the function P{sub i}(z),i=1-N was made via evolutional solution of a series of the nonlinear problem. The researching of the choice of optimal quantity of expansion coefficients was performed in the way of evolution of solving a set of nonlinear problems. For the programs simulating the decay processes and the charged particles transporation such an approach of computing the components of the magnetic field does not need a large memory capacity and computing time as well, but simultaneously gives quite full information about distribution of the magnetic field in the part of the region where its measurements were not performed. The accuracy estimations of the magnetic field approximations are given. 6 refs.; 5 figs.; 3 tabs.}

place = {JINR}

year = {1992}

month = {Dec}

}

title = {Polynominal approximation of measured magnetic field components of EXCHARM spectrometer; Polinomial`noe predstavlenie komponent izmerennogo magnitnogo polya spektrometra EhKSChARM}

author = {Kirillov, D A, Kutov, A Ya, Lima, S, Panasik, V A, Polyakova, R V, and Yudin, I P}

abstractNote = {In the problem of numerical simulation of charged particles transportation and decay processes an effective algorithm is need for rather a fast and precise calculation of the values of the magnetic field in any point of the region under study. In this paper the calculation of the component of the magnetic field is suggested in the polynomial form. The choice of optimal value of the D{sub i,k} coefficients of the function P{sub i}(z),i=1-N was made via evolutional solution of a series of the nonlinear problem. The researching of the choice of optimal quantity of expansion coefficients was performed in the way of evolution of solving a set of nonlinear problems. For the programs simulating the decay processes and the charged particles transporation such an approach of computing the components of the magnetic field does not need a large memory capacity and computing time as well, but simultaneously gives quite full information about distribution of the magnetic field in the part of the region where its measurements were not performed. The accuracy estimations of the magnetic field approximations are given. 6 refs.; 5 figs.; 3 tabs.}

place = {JINR}

year = {1992}

month = {Dec}

}