Digital Simulation in Electrochemistry

• Κύριοι συγγραφείς: Britz, Dieter (Συγγραφέας), Strutwolf, Jörg (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 4th ed. 2016.
• Σειρά: Monographs in Electrochemistry,
• Θέματα: Chemistry.; Analytical chemistry.; Chemoinformatics.; Chemometrics.; Electrochemistry.; Chemistry, Physical and theoretical.; Analytical Chemistry.; Theoretical and Computational Chemistry.; Math. Applications in Chemistry.; Computer Applications in Chemistry.

 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. 

 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.