Digital Simulation in Electrochemistry

Front Cover
Springer Science & Business Media, Feb 22, 2005 - Science - 338 pages
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.
 

Contents

I
1
II
5
III
6
IV
7
V
8
VI
9
VII
10
IX
12
LXXXIX
148
XCI
151
XCII
152
XCIII
154
XCIV
156
XCV
158
XCVI
159
XCVII
165

XI
14
XIII
24
XIV
25
XV
28
XVI
33
XVIII
34
XIX
36
XX
38
XXI
39
XXIII
43
XXIV
44
XXV
47
XXVI
48
XXIX
51
XXXI
52
XXXIV
54
XXXV
56
XXXVII
57
XXXVIII
58
XXXIX
61
XL
62
XLI
64
XLII
65
XLIII
67
XLIV
70
XLV
71
XLVI
73
XLVIII
74
XLIX
76
L
77
LI
79
LII
80
LIII
81
LIV
85
LVI
86
LIX
90
LX
93
LXI
94
LXII
100
LXIII
101
LXIV
103
LXV
104
LXVI
105
LXVII
107
LXIX
110
LXXI
111
LXXII
112
LXXIV
113
LXXV
116
LXXVI
119
LXXVII
121
LXXIX
122
LXXX
124
LXXXI
126
LXXXII
127
LXXXIII
131
LXXXIV
134
LXXXV
135
LXXXVI
140
LXXXVII
145
XCIX
167
C
170
CI
172
CII
173
CIII
180
CV
182
CVI
184
CVII
185
CVIII
186
CIX
187
CX
189
CXI
190
CXII
191
CXIII
193
CXIV
195
CXV
197
CXVI
201
CXVII
202
CXVIII
208
CXIX
209
CXX
210
CXXI
212
CXXII
213
CXXIII
221
CXXIV
232
CXXV
235
CXXVII
239
CXXIX
240
CXXX
241
CXXXI
242
CXXXII
247
CXXXIV
250
CXXXV
251
CXXXVII
252
CXXXVIII
254
CXXXIX
260
CXL
261
CXLI
263
CXLII
264
CXLIII
266
CXLIV
270
CXLV
273
CXLVII
274
CXLVIII
275
CXLIX
277
CL
281
CLI
282
CLIV
283
CLV
284
CLVI
285
CLVIII
289
CLIX
290
CLX
295
CLXI
299
CLXIII
301
CLXIV
302
CLXV
304
CLXVII
313
CLXVIII
331
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Page 329 - Michelsen, Solution of Differential Equation Models by Polynomial Approximation.
Page 327 - Numerical Solution of Partial Differential Equations," Oxford University Press, Oxford, England, 1965, pp.