Digital Simulation in Electrochemistry

This book explains how the partial differential equations (pdes) in electroanalytical chemistry can be solved numerically. It guides the reader through the topic in a very didactic way, by first introducing and discussing the basic equations along with some model systems as test cases systematically...

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Bibliographic Details
Main Authors: Britz, Dieter, Strutwolf, Jörg (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:4th ed. 2016
Series:Monographs in Electrochemistry
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Digital Simulation in Electrochemistry  |h Elektronische Ressource  |c by Dieter Britz, Jörg Strutwolf 
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505 0 |a Introduction -- Basic Equations -- Approximations to Derivatives -- Ordinary Differential Equations -- The Explicit Method -- Boundary Conditions -- Arbitrary Intervals -- The Commonly Used Implicit Methods -- Other Methods -- Adsorption -- Uncompensated Resistance and Capacitance -- Two-Dimensional Systems -- Migration -- Convection -- Performance -- Programming -- Simulation Packages -- Appendices: Some Mathematical Proofs -- Useful Procedures -- Example Programs 
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653 |a Analytical Chemistry 
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653 |a Electrochemistry 
653 |a Analytical chemistry 
653 |a Electrochemistry 
653 |a Theoretical and Computational Chemistry 
653 |a Computer Applications in Chemistry 
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520 |a This book explains how the partial differential equations (pdes) in electroanalytical chemistry can be solved numerically. It guides the reader through the topic in a very didactic way, by first introducing and discussing the basic equations along with some model systems as test cases systematically. Then it outlines basic numerical approximations for derivatives and techniques for the numerical solution of ordinary differential equations. Finally, more complicated methods for approaching the pdes are derived. The authors describe major implicit methods in detail and show how to handle homogeneous chemical reactions, even including coupled and nonlinear cases. On this basis, more advanced techniques are briefly sketched and some of the commercially available programs are discussed. In this way the reader is systematically guided and can learn the tools for approaching his own electrochemical simulation problems. This new fourth edition has been carefully revised, updated and extended compared to the previous edition (Lecture Notes in Physics Vol. 666). It contains new material describing migration effects, as well as arrays of ultramicroelectrodes. It is thus the most comprehensive and didactic introduction to the topic of electrochemical simulation