LSV modelling of electrochemical systems through numerical inversion of Laplace transforms. I - The GS-LSV algorithm

Journal of Electroanalytical Chemistry

Volumn 614, Issue 1-2, 2008, Pages 121-130

  Montella, C ^a  

^a LEPMI   (France)

Author keywords

Convolution; Gaver Stehfest algorithm; Modelling; Numerical inversion of Laplace transforms; Voltammetry

Indexed keywords

ALGORITHMS; CONVOLUTION; NUMERICAL METHODS; VOLTAMMETRY;

LAPLACE TRANSFORM; NUMERICAL INVERSION;

ELECTROCHEMICAL ELECTRODES;

EID: 39649084472     PISSN: 15726657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jelechem.2007.11.010     Document Type: Article

References (49)

1. Myland J.C., and Oldham K.B. J. Electroanal. Chem. 568 (2004) 101
2. Nicholson R.S., and Shain I. Anal. Chem. 36 (1964) 706
3. Savéant J.-M., and Vianello E. Electrochim. Acta 8 (1963) 905
4. Savéant J.-M., and Vianello E. Electrochim. Acta 12 (1967) 629
5. Mastragostino M., Nadjo L., and Savéant J.-M. Electrochim. Acta 13 (1968) 721
6. Nadjo L., and Savéant J.-M. J. Electroanal. Chem. 48 (1973) 113
7. Oldham K.B. Anal. Chem. 58 (1986) 2296
8. Mahon P.J., and Oldham K.B. J. Electroanal. Chem. 445 (1998) 179
9. Mahon P.J., and Oldham K.B. J. Electroanal. Chem. 464 (1999) 1
10. Mahon P.J., and Oldham K.B. Electrochim. Acta 46 (2001) 953
11. Mahon P.J., Myland J.C., and Oldham K.B. J. Electroanal. Chem. 537 (2002) 1
12. Mahon P.J., and Oldham K.B. Electrochim. Acta 49 (2004) 5049
13. Woodward F.E., Gooding R.D., and Kinlen P.J. Anal. Chem. 56 (1984) 1920
14. Vieil E., and Lopez C. J. Electroanal. Chem. 466 (1999) 218
15. Diard J.-P., Le Gorrec B., and Montella C. Cinétique Électrochimique (1996), Hermann, Paris
16. Stehfest H. Comm. ACM 13 (1970) 47 and 624
17. A. Mallet, Numerical Inversion of Laplace Transform, 2000, Mathematica package, http://library.wolfram.com/infocenter/Mathsource/2691/.
18. C. Montella, Thèse d'Etat, Grenoble, 1989.
19. Rangarajan S.K. J. Electroanal. Chem. 55 (1974) 297
20. Bard A.J., and Faulkner L.R. Electrochemical Methods. Fundamentals and Applications. second ed. (2001), John Wiley & Sons Inc., New York
21. IUPAC, M. Sluyters-Rehbach (Ed.), Pure Appl. Chem. 66 (1994) 1831.
22. Nicholson R.S., and Olmstead M.L. In: Mattson J.S., Mark H.B., and MacDonald H.C. (Eds). Computers in Chemistry and Instrumentation vol. 2 (1972), Marcel Dekker Inc., New York
23. Chen J.S., Durand R., and Montella C. J. Chim. Phys. 91 (1994) 383
24. Diard J.-P., Le Gorrec B., and Montella C. J. Electrochem. Soc. 147 (2000) 296
25. Diard J.-P., Glandut N., Le Gorrec B., and Montella C. J. Electroanal. Chem. 566 (2004) 269
26. Diard J.-P., Glandut N., Montella C., and Sanchez J.-Y. J. Electroanal. Chem. 578 (2005) 247
27. Diard J.-P., and Montella C. J. Electroanal. Chem. 557 (2003) 19
28. Compte A., and Metzler R. J. Phys. A: Math. Gen. 30 (1997) 7277
29. Bisquert J., and Compte A. J. Electroanal. Chem. 499 (2001) 112
30. Floriano J.B., Ticianelli E.A., and Gonzalez E.R. J. Electroanal. Chem. 367 (1994) 157
31. Ogata Y., Sakka T., and Iwasaki M. J. Appl. Electrochem. 25 (1995) 41
32. Barsoukov E., Hyun Kim J., Hun Kim J., Yoon C.O., and Lee H. Solid State Ionics 116 (1999) 249
33. Honeychurch M.J. Simulating electrochemical reactions with Mathematica (2006), IBNH, St Lucia, Australia
34. P.P. Valkó, B.L. Vojta, The List, 2001, http://www.pe.tamu.edu/valko/.
35. Abate J., and Valkó P.P. Int. J. Numer. Eng. 60 (2004) 979
36. Valkó P.P., and Abate J. Comput. Math. Appl. 48 (2004) 629
37. Abate J., and Whitt W. Informs J. Comput. 18 (2006) 408
38. Montella C., Michel R., and Diard J.-P. J. Electroanal. Chem. 608 (2007) 37
39. Spanier J., and Oldham K.B. An Atlas of Functions (1987), Hemisphere, Springer-Verlag, New York, Berlin
40. Aoki K., Tokuda K., and Matsuda H. J. Electroanal. Chem. 146 (1983) 417
41. Aoki K., Tokuda K., and Matsuda H. J. Electroanal. Chem. 160 (1984) 33
42. Barral G., Diard J.-P., and Montella C. Electrochim. Acta 30 (1985) 585
43. C. Montella, Part II, in preparation.
44. Jacobsen T., and West K. Electrochim. Acta 40 (1995) 255
45. J.-P. Diard, B. Le Gorrec, C. Montella, Handbook of Electrochemical Impedance Spectroscopy, http://www.bio-logic.info/potentiostat/notes.html.
46. Warburg E. Ann. Phys. 67 (1899) 493
47. J. LLopis, F. Colom, in: Proceedings of the Eighth Meeting of the C.I.T.C.E, Butterworths, London, 1958, p. 414.
48. Ho C., Raistrick I.D., and Huggins R.A. J. Electrochem. Soc. 127 (1980) 343
49. Barral G., Diard J.-P., and Montella C. Electrochim. Acta 29 (1984) 239