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Digital Simulation in Electrochemistry

  • Book
  • © 2005

Overview

Authors:
  1. Dieter Britz

    1. Kemisk Institut, Århus Universitet, Århus C, Denmark

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  • The only concise text on the subject
  • Complete restructuring and simplification of the methods since publication of the 2nd edition
  • Supplementary material available in the online version

Part of the book series: Lecture Notes in Physics (LNP, volume 666)

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Table of contents (22 chapters)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. Introduction

    • Dieter Britz
    Pages 1-4

  3. Basic Equations

    • Dieter Britz
    Pages 5-32

  4. Approximations to Derivatives

    • Dieter Britz
    Pages 33-49

  5. Ordinary Differential Equations

    • Dieter Britz
    Pages 51-71

  6. The Explicit Method

    • Dieter Britz
    Pages 73-83

  7. Boundary Conditions

    • Dieter Britz
    Pages 85-102

  8. Unequal Intervals

    • Dieter Britz
    Pages 103-117

  9. The Commonly Used Implicit Methods

    • Dieter Britz
    Pages 119-143

  10. Other Methods

    • Dieter Britz
    Pages 145-187

  11. Adsorption

    • Dieter Britz
    Pages 189-192

  12. Effects Due to Uncompensated Resistance and Capacitance

    • Dieter Britz
    Pages 193-199

  13. Two-Dimensional Systems

    • Dieter Britz
    Pages 201-233

  14. Convection

    • Dieter Britz
    Pages 235-246

  15. Performance

    • Dieter Britz
    Pages 247-272

  16. Programming

    • Dieter Britz
    Pages 273-275

  17. Simulation Packages

    • Dieter Britz
    Pages 277-279

  18. A Tables and Formulae

    • Dieter Britz
    Pages 281-287

  19. B Some Mathematical Proofs

    • Dieter Britz
    Pages 289-297

  20. C Procedure and Program Examples

    • Dieter Britz
    Pages 299-311
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About this book

This book is an extensive revision of the earlier 2nd Edition with the same title, of 1988. The book has been rewritten in, I hope, a much more did- tic manner. Subjects such as discretisations or methods for solving ordinary di?erential equations are prepared carefully in early chapters, and assumed in later chapters, so that there is clearer focus on the methods for partial di?erential equations. There are many new examples, and all programs are inFortran90/95,whichallows amuchclearerprogrammingstylethanearlier Fortran versions. In the years since the 2nd Edition, much has happened in electrochemical digital simulation. Problems that ten years ago seemed insurmountable have been solved, such as the thin reaction layer formed by very fast homogeneous reactions, or sets of coupled reactions. Two-dimensional simulations are now commonplace, and with the help of unequal intervals, conformal maps and sparse matrix methods, these too can be solved within a reasonable time. Techniques have been developed that make simulation much more e?cient, so that accurate results can be achieved in a short computing time. Stable higher-order methods have been adapted to the electrochemical context. The book is accompanied (on the webpage www.springerlink.com/ openurl.asp?genre=issue&issn=1616-6361&volume=666) by a number of - ample procedures and programs, all in Fortran 90/95. These have all been veri?edasfaraspossible.Whilesomeerrorsmightremain,theyarehopefully very few.

Authors and Affiliations

  • Kemisk Institut, Århus Universitet, Århus C, Denmark

    Dieter Britz

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