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Wyszukujesz frazę "matrix method" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
The J-matrix method: numerical computations
Autorzy:
Syty, P.
Powiązania:
https://bibliotekanauki.pl/articles/1954523.pdf
Data publikacji:
1999
Wydawca:
Politechnika Gdańska
Tematy:
atomic physics
scattering theory
J-matrix method
numerical computations
Opis:
Numerical calculations of scattering phase shifts have been done using J-matrix method (both non-relativistic and relativistic versions). Results of computations for some simple potentials are described and discussed in this paper. In particularly, it has been shown, that successive numerical approximations converge to results obtained using an analytical formula.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1999, 3, 3; 269-276
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
JMATRIX - package for relativistic J-MATRIX calculations in elastic scattering of electrons from model potentials
Autorzy:
Syty, P.
Sienkiewicz, J. E.
Powiązania:
https://bibliotekanauki.pl/articles/1940696.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
J-matrix method
relativistic
electron elastic scattering
phase shifts
Dirac partial-waves analysis
differential
total
momentum transfer
spin polarization cross sections
Opis:
We present a software package JMATRIX, consisting of two computer codes written in FORTRAN 95 and parallelized with OpenMP, implementing the so-called J-matrix method, applied to elastic scattering of electrons on the radial potential, vanishing faster than the Coulomb potential. In the J-matrix method, the physical scattering problem is replaced by using a well-defined model which is solved analytically. The presented software implements both non-relativistic and relativistic versions of the method, and allows calculations of scattering phase shifts as well as cross sections, in cases when the scattering potential is given through an analytical formula. We performed test calculations for the scattering potential modeled as a truncated Coulomb potential. We show that the numerical phase shifts to converge as we increase the size of the basis used to truncate the scattering potential, and that the method is suitable for calculating the total differential momentum transfer and spin polarization cross sections, using the partial-wave analysis.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 1; 17-42
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Torsion of restrained thin-walled bars of open constant bisymmetric cross-section
Autorzy:
Kujawa, M.
Powiązania:
https://bibliotekanauki.pl/articles/1933993.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska
Tematy:
thin-walled bars
elastic stiffness matrix
geometric stiffness matrix
restrained torsion
Castigliano’s method
torsional buckling
Opis:
Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric cross-section. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power series. Numerical examples were taken from Kujawa M 2009 Static and Sensitivity Analysis of Grids. . . 97, GUT Publishing House, and Szymczak C 1978 Engineering Transaction 26 323. Convergence of the solutions was analyzed using the matrices derived for torsion angles, warping, bimoments and critical forces.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 1-2; 5-15
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distorsional analysis of I-section beam
Autorzy:
Kujawa, M.
Powiązania:
https://bibliotekanauki.pl/articles/1933992.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska
Tematy:
distortion
thin-walled I-section beam
elastic stiffness matrix
energetic approach
Castigliano’s method
Opis:
An elastic stiffness matrix was derived in the case of distortion of a restrained thin- walled I-section beam using the minimum total stationary elastic energy condition (Przemie- niecki J S 1968 Theory of Matrix Structural Analysis, McGraw-Hill, NY). The function describ- ing the angle of distortion was adopted form the solution of differential equation in the case of restrained distortion. The example presented in the paper helps to assess the correctness of the proposed solution. The proposed elastic stiffness matrix is applicable for solving distortion problems of bar structures composed of thin-walled members.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 1-2; 17-22
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calculation methods of interaction of electromagnetic waves with objects of complex geometries
Autorzy:
Shopa, M.
Powiązania:
https://bibliotekanauki.pl/articles/1938589.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
light scattering
Mie theory
Direct dipole approximation
finite difference time domain method
T-matrix
Opis:
Modeling of the electromagnetic interaction with different homogeneous or inhomogeneous objects is a fundamental and important problem. It is relatively easy to solve Maxwell equations analytically when the scattering object is spherical or cylindrical, for example. However, when it loses these properties all that is left for us is to use approximation models, to acquire the solution we need. Modeling of complex, non-spherical, asymmetric particles is used to study cosmic, cometary dust, aerosols, atmospheric pollution etc. Few analytical, surface-based and volume-based methods of light scattering modeling, most commonly used by scientists, are reviewed here.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 231-240
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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