On convergence by computer solving of partial differential equations

Věra Preiningerová

Aplikace matematiky (1967)

  • Volume: 12, Issue: 3, page 171-184
  • ISSN: 0862-7940

Abstract

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The paper deals with problems of convergence when solving partial differential equations by computers. Practical experiences are given concerning calculations of heat transfer through solving temperature and velocity fields in vertical cooling ducts of transformer windings. This problem leads to a system to two elliptic simultaneous partial differential equations with boundary conditions of Dirichlet's or Neumann's type. For solving the net-point method and the overrelaxation method with constant as well as variable value of the overrelaxation coefficient was used. In the paper there are many examples together with the convergence of their solutions for different procedures of solution and different values of the overrelaxation coefficient.

How to cite

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Preiningerová, Věra. "Otázky konvergence při řešení parciálních diferenciálních rovnic pomocí samočinných počítačů." Aplikace matematiky 12.3 (1967): 171-184. <http://eudml.org/doc/14469>.

@article{Preiningerová1967,
author = {Preiningerová, Věra},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {3},
pages = {171-184},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Otázky konvergence při řešení parciálních diferenciálních rovnic pomocí samočinných počítačů},
url = {http://eudml.org/doc/14469},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Preiningerová, Věra
TI - Otázky konvergence při řešení parciálních diferenciálních rovnic pomocí samočinných počítačů
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 3
SP - 171
EP - 184
LA - cze
KW - numerical analysis
UR - http://eudml.org/doc/14469
ER -

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