Digital Simulation in Electrochemistry: Third Completely Revised and Extended Edition With Supplementary Electronic Material

✍ Scribed by Dieter Britz (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2005
• Tongue: English
• Leaves: 337
• Series: Lecture Notes in Physics 666
• Edition: 3
• Category: Library

✦ Synopsis

The book shows how to numerically solve the parabolic partial differential equations (pdes) encountered in electroanalytical chemistry. It does this in a didactic manner, by first introducing the basic equations to be solved and some model systems as text cases, for which solutions exist. Then it treats basic numerical approximation for derivatives and techniques for the numerical solution of ordinary differential equations, from which the more complicated methods for pdes can be derived. The major implicit methods are described in detail, and the handling of homogeneous chemical reactions, including coupled and nonlinear cases, is detailed. More advanced techniques are presented briefly, as well as some commercially available program packages.

This third edition, still the only text on the subject, is structured more didactically then the previous editions. It brings the coverage of electrochemical digital simulation up to date, including many new techniques developed since the early 1990s. A number of example procedures and programs are made available as supplementary material in the online version of this book.

✦ Table of Contents

Front Matter....Pages I-XIII
Introduction....Pages 1-4
Basic Equations....Pages 5-32
Approximations to Derivatives....Pages 33-49
Ordinary Differential Equations....Pages 51-71
The Explicit Method....Pages 73-83
Boundary Conditions....Pages 85-102
Unequal Intervals....Pages 103-117
The Commonly Used Implicit Methods....Pages 119-143
Other Methods....Pages 145-187
Adsorption....Pages 189-192
Effects Due to Uncompensated Resistance and Capacitance....Pages 193-199
Two-Dimensional Systems....Pages 201-233
Convection....Pages 235-246
Performance....Pages 247-272
Programming....Pages 273-275
Simulation Packages....Pages 277-279
A Tables and Formulae....Pages 281-287
B Some Mathematical Proofs....Pages 289-297
C Procedure and Program Examples....Pages 299-311
References....Pages 313-329
Electronic Supplementary Material....Pages 330-330
Erratum list for “ Digital Simulation in Electrochemistry ”....Pages E1-E4
Back Matter....Pages 331-338

✦ Subjects

Theoretical and Computational Chemistry;Physical Chemistry;Analytical Chemistry;Complexity;Math. Applications in Chemistry;Computational Intelligence