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7.22) ELSIM: Numerical stability of finite-difference simulation techniques:




Description

This article is from the Electrochemistry FAQ, by Zoltan Nagy nagy@anl.gov with numerous contributions by others.

7.22) ELSIM: Numerical stability of finite-difference simulation techniques:


1) L. K. Bieniasz
"The von Neumann Stability of Finite Difference Algorithms for
the Electrochemical Kinetic Simulation of Diffusion Coupled
with Homogeneous Reactions".
J. Electroanal. Chem., vol. 345 (1993) 13.

2) L. K. Bieniasz, O. Osterby and D. Britz
"Numerical Stability of Finite Difference Algorithms for
Electrochemical Kinetic Simulations: Matrix Stability Analysis
of the Classic Explicit, Fully Implicit and Crank-Nicolson
Methods and Typical Problems Involving Mixed Boundary
Conditions".
Computers. Chem., vol. 19 (1995) 121.

3) L. K. Bieniasz, O. Osterby and D. Britz
"Numerical Stability of Finite Difference Algorithms for
Electrochemical Kinetic Simulations: Matrix Stability Analysis
of the Classic Explicit, Fully Implicit and Crank-Nicolson
Methods Extended to the 3- and 4- point Gradient Approximation
at the Electrodes".

Computers. Chem., vol. 19 (1995) 351.

4) L. K. Bieniasz, O. Osterby and D. Britz
"Numerical Stability of the Saul'yev Finite Difference
Algorithms for Electrochemical Kinetic Simulations: Matrix
Stability Analysis of an Example Problem Involving Mixed
Boundary Conditions".
Computers. Chem., vol. 19 (1995) 357.

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

For further information regarding the conditions of availability
of ELSIM, please contact the author at the address:

Dr. L. K. Bieniasz,
Institute of Physical Chemistry of the Polish Academy of
Sciences,
Molten Salts Department, ul. Zagrody 13, 30-318 Cracow, Poland.
tel./fax.: (+ 48 12) 266-03-41.
E-mail: nbbienia@cyf-kr.edu.pl
URL: http://www.cyf-kr.edu.pl/~nbbienia

*******************************************************************************

This program is courtesy of L. K. Bieniasz, Institute of Physical Chemistry,
Polish Academy of Sciences. With problems/questions contact:
nbbienia@cyf-kr.edu.pl

 

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