Search results for: SCALAR GREEN,S FUNCTION

• Green`s function methods for Mathematical modeling of unidirectional diffusion process in isothermal metals bonding process

  Publication

  • M. Suchecka
  • A. Borisovich
  • W. Serbiński

  - Year 2005

  Podano wykorzystanie funkcji Greena w rozwiązaniu matematycznego modelu dyfuzji jednowymiarowej podczas izotermicznego łączenia metali.

• Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function

  Publication

  • R. Szmytkowski

  - PHYSICAL REVIEW A - Year 2002

  We utilize the Sturmian expansion of the Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997)] to obtain components of the dynamic dipole polarizability tensor of the relativistic hydrogenlike atom in the ground state. It is found that the tensor may be expressed in terms of two independent quantities: a scalar polarizability and a vector polarizability, the latter being of the relativistic origin. In the static...

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• FDTD-Compatible Green's function based on scalar discrete Green's function and multidimensional Z-transform

  Publication

  • T. Stefański

  - Year 2015

  In this contribution, a new formulation of the discrete Green's function (DGF) is presented for the finitedifference time-domain (FDTD) grid. Recently, dyadic DGF has been derived from the impulse response of the discretized scalar wave equation (i.e., scalar DGF) with the use of the multidimensional Z-transform. Its software implementation is straightforward because only elementary functions are involved and a single function...

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• The Rayleigh model of the multipath fading channel

  Open Research Data

  open access

  • B. Pałczyńska
  • K. M. Noga

  - series: Simulations of multipath fading channels using the Monte-Carlo method

  The dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The Rayleigh fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.

• The Weibull model of the multipath fading channel

  Open Research Data

  open access

  • B. Pałczyńska
  • K. M. Noga

  - series: Simulations of multipath fading channels using the Monte-Carlo method

  The dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The Weibull fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.

• The α-µ model of the multipath fading channel

  Open Research Data

  open access

  • B. Pałczyńska
  • K. M. Noga

  - series: Simulations of multipath fading channels using the Monte-Carlo method

  The dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The envelope of the α-µ fading process is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.

• Green function diagonal for a class of heat equations

  Publication

  • G. Kwiatkowski
  • S. Leble

  - APPLIED MATHEMATICS AND COMPUTATION - Year 2013

  A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented...

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• GREEN CHEMISTRY

  Journals

  ISSN: 1463-9262 , eISSN: 1463-9270

• Scalar- and vector-source wave equations

  Publication

  • H. Lasota

  - Year 2009

  W analizie zjawisk akustyki liniowej i obliczeniach pola, powszechnie stosowane są równania falowe skalarne dotyczące ciśnienia akustycznego lub potencjału prędkości, natomiast rzadko są choćby tylko wspominane równania wektorowe operujące prędkością cząstek. Jest to przejaw asymetrii w traktowaniu skalarnych i wektorowych wielkości akustycznych. Artykuł przypomina dwa zestawy dualnych równań falowych, jednorodnych i niejednorodnych,...

• The generalized Suzuki model of the multipath fading channel

  Open Research Data

  open access

  • B. Pałczyńska
  • K. M. Noga

  - series: Simulations of multipath fading channels using the Monte-Carlo method

  The dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel.  The generalized Suzuki fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.