Skip to main content
SpringerLink
Log in

Towards Computational Electrochemistry - a Kineticist’s Perspective

  • Chapter
Modern Aspects of Electrochemistry

Part of the book series: Modern Aspects of Electrochemistry ((MAOE,volume 35))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. W. Feldberg in: Electroanalytical Chemistry, A. J. Bard, ed., vol. 3, p. 199, Marcel Dekker, New York, 1969.

    Google Scholar 

  2. A. J. Bard and L. R. Faulkner, Electrochemical Methods-Fundamentals and Applications, Wiley, New York, 1980.

    Google Scholar 

  3. G. A. Prentice and C. W. Tobias, J. Electrochem. Soc. 129 (1982) 72.

    CAS  Google Scholar 

  4. D. N. Bennion, A.I.Ch.E Symp. Ser. 79 (1983) 25.

    CAS  Google Scholar 

  5. S. Pons, in: Electroanalytical Chemistry, A. J. Bard, ed., vol. 13, p. 115, Marcel Dekker, New York, 1984.

    Google Scholar 

  6. D. Britz, Digital Simulation in Electrochemistry (second edn.), Springer, Berlin, 1988.

    Google Scholar 

  7. O. Prentice in: Techniques for Characterization of Electrodes and Electrochemical Processes, R. Varma and J. R. Selman, eds., p. 649, Wiley, New York, 1991.

    Google Scholar 

  8. K. Scott in: Modern Aspects of Electrochemistry, R. E. White, J. O≐M. Bockris, and B. E. Conway, eds., vol. 27, p. 1, Plenum Press, New York, 1995.

    Google Scholar 

  9. J. T. Maloy in: Laboratory Techniques in Electroanalytical Chemistry (second edn.), P. T. Kissinger and W. R. Heineman, eds., p. 583, Marcel Dekker, New York, 1996.

    Google Scholar 

  10. B. Speiser, in: Electroanalytical Chemistry, A. J. Bard and I. Rubinstein, eds., vol. 19, p. 1, Marcel Dekker, New York, 1996.

    Google Scholar 

  11. D. Britz, Studia Universitatis Babes-Bolyai, Ser. Chemia 41(2) (1996) 31.

    CAS  Google Scholar 

  12. M. A. Lemos, Portug. Electrochim. Acta 15 (1997) 163.

    CAS  Google Scholar 

  13. L. Meites, CRC Crit. Rev. Anal Chem. 8 (1979) 1.

    CAS  Google Scholar 

  14. J. F. Rusling, CRC Crit. Rev. Anal Chem. 21 (1989) 49.

    CAS  Google Scholar 

  15. I. Lavagnini, P. Pastore, and F. Magno, Anal Chim. Acta 223 (1989) 193.

    Article  Google Scholar 

  16. Z. Nagy, in: Modern Aspects of Electrochemistry, R.E. White, J. O’M. Bockris, and B. E. Conway, eds., vol. 21, p. 237, Plenum Press, New York, 1990.

    Google Scholar 

  17. T. H. Ridgway and H. B. Mark, Jr., in: Comprehensive Treatise of Electrochemistry, R. E. White, J. O’M. Bockris, B. E. Conway, and E. Yeager, eds., vol. 8, p. 99, Plenum Press, New York, 1984.

    Google Scholar 

  18. A. J. S. McNeil and P. J. Mitchell, Surf. Technol. 25 (1985) 195.

    Article  CAS  Google Scholar 

  19. H. Gunasingham in: Electrochemistry, Past and Present, J. T. Stock and M. V. Oma, eds., ACS Symposium Series, vol. 390, p. 236, American Chemical Society, Washington, 1989.

    Google Scholar 

  20. A. M. Bond and M. Švestka, Collect. Czech. Chem. Commun. 58 (1993) 2769.

    Article  CAS  Google Scholar 

  21. J. S. Mattson, H. B. Mark, and Jr., H. C. MacDonald, Jr., eds., Computers in Chemistry and Instrumentation, vol. 2, Electrochemistry-Calculations, Simulation and Instrumentation, Marcel Dekker, New York, 1972.

    Google Scholar 

  22. P. He and L. R. Faulkner, J. Chem. Inf. Comput. Sci. 25 (1985) 275.

    Article  CAS  Google Scholar 

  23. F. Magno, S. Daniele, G. Bontempelli, and P. Pastore, Ann. Chim. (Rome) 76 (1986) 233.

    CAS  Google Scholar 

  24. R. Seeber, M. I. Pilo, and G. Sanna in: Molecular Electrochemistry of Inorganic, Bioinorganic and Organometallic Compounds, A. J. L. Pombeiro and J. A. McCleverty, eds., p. 453, NATO ASI Series C, Kluwer Publishers, Dordrecht, 1993.

    Google Scholar 

  25. Z. H. Qiu, L. C. Wrobel, and H. Power, J. Appl. Electrochem. 27 (1997) 1333.

    Article  CAS  Google Scholar 

  26. Computational Electrochemistry Group; http://wwwtw.vub.ac.be/ond/etec/ceg/english/cegIndex.html.

  27. Prof. R. G. Compton Research Group Pages; http://physchem.ox.ac.uk/currres/RGC.html.

  28. Group of Prof. G. A. Voth; http://voth.chem.utah.edu, http://voth.chem.utah.edu/het_et.html.

  29. E. A. Jackson, A First Look at the Second Metamorphosis of Science, Working Paper 95-01-001, Santa Fe Institute, Santa Fe, N.M., 1995.

    Google Scholar 

  30. L. L. Smarr, Science 228 (1985) 403.

    Google Scholar 

  31. D. L. Bunker, Sci. Am. 211 (1964) 100.

    Article  Google Scholar 

  32. S. A. Levin, B. Grenfell, A. Hastings, and A. S. Perelson, Science 275 (1997) 334.

    Article  CAS  Google Scholar 

  33. D. E. Stevenson, Commun. ACM 37 (1994) 85.

    Article  Google Scholar 

  34. P. Coveney and R. Highfield, Frontiers of Complexity, The Search for Order in a Chaotic World, A Fawcett Columbine Book, New York, 1995.

    Google Scholar 

  35. C. Truesdell, An Idiot’s Fugitive Essays on Science. Methods, Criticism, Training, Circumstances., Springer, New York, 1984, p. 594.

    Google Scholar 

  36. D. Turnipseed and M. Burns, Int. J. Comput. Appl. Technol. 8 (1995) 405.

    Google Scholar 

  37. J. L. Gay-Lussac, Mem. Soc. Arcueil 2 (1808) 207.

    Google Scholar 

  38. P. A. M. Dirac, Proc. Roy. Soc. London 123 (1929) 714.

    CAS  Google Scholar 

  39. J. D. Bolcer and R. B. Hermann, in: Reviews in Computational Chemistry, K. B. Lipkowitz and D. B. Boyd, eds., vol. 5, p. 1, VCH Publishers, New York, 1994.

    Google Scholar 

  40. D. B. Boyd, in: Reviews in Computational Chemistry, K. B. Lipkowitz and D. B. Boyd, eds., vol. 2, p. 461, VCH Publishers, New York, 1991.

    Google Scholar 

  41. K. B. Lipkowitz and D. B. Boyd, in: Reviews in Computational Chemistry, K. B. Lipkowitz and D. B. Boyd, eds., vol. 1, p. vii, VCH Publishers, New York, 1990.

    Google Scholar 

  42. S. S. Grover, Catal. Rev. 1 (1967) 153.

    CAS  Google Scholar 

  43. B. Mentzen, Chim. Industr. Génie Chim. 102 (1969) 37.

    CAS  Google Scholar 

  44. T. R. Crossley and M. A. Slifkin, in: Progress in Reaction Kinetics, G. Porter, ed., p. 409, Pergamon Press, Oxford, 1970.

    Google Scholar 

  45. D. Garfinkel, L. Garfinkel, M. Pring, S. B. Green, and B. Chance, Ann. Rev. Biochem. 39 (1970) 473.

    CAS  Google Scholar 

  46. D. Edelson, J. Phys. Chem. 81 (1977) 2309.

    Article  CAS  Google Scholar 

  47. L. Garfinkel, M. C. Kohn, and D. Garfinkel, Crit. Rev. Bioenerg. 2 (1977) 329.

    CAS  Google Scholar 

  48. D. Edelson, Science 214 (1981) 981.

    CAS  Google Scholar 

  49. G. M. CΩe in: Comprehensive Chemical Kinetics, C. H. Bamford and C. F. H. Tipper, eds., vol. 24, p. 249, Elsevier, Amsterdam, 1983.

    Google Scholar 

  50. J. I. Ramos,Math. Comp. Simulation 25 (1983) 538.

    Google Scholar 

  51. J. I. Ramos in: Annual Review of Numerical Fluid Mechanics and Heat Transfer, T. C. Chawla, ed., vol. 1, p. 150, Hemisphere, Washington, 1987.

    Google Scholar 

  52. J.T. Hwang, in: Chemical Kinetics of Small Organic Radicals, Vol. 2, Correlation and Calculation Methods, Z. B. Alfassi, ed., p. 149, CRC Press, Boca Raton, 1988.

    Google Scholar 

  53. R. Kapral, J. Math. Chem. 6 (1991) 113.

    Article  CAS  Google Scholar 

  54. P. Mendes and D. B. Kell, in: BioThermoKinetics of the Living Cell, H. V. Westerhoff; J. L. Snoep, J. Wijker, F. E. Sluse, and B. N. Kholodenko, eds., p. 245, BioThermoKinetics Press, Amsterdam, 1996.

    Google Scholar 

  55. R. Larter and K. Showalter, in: Reviews in Computational Chemistry, K. B. Lipkowitz and D. B. Boyd, eds., vol. 10, p. 177, VCH Publishers, New York, 1997.

    Google Scholar 

  56. B. Chance, J. Biol Chem. 151 (1943) 553.

    CAS  Google Scholar 

  57. J. E. B. Randles, Trans. Farad. Soc. 44 (1948) 327.

    CAS  Google Scholar 

  58. A. Ševčik, Coll. Czech. Chem. Comm. 13 (1948) 349.

    Google Scholar 

  59. J. Weber, H. Huber and H. P. Weber, Chimia 46 (1992) 84.

    Google Scholar 

  60. F. J. Vesely, Computational Physics, An Introduction, Plenum Press, New York, 1994.

    Google Scholar 

  61. D. Benton, Trends Biotechnol. 14 (1996) 261.

    Article  CAS  Google Scholar 

  62. D. Boyd and K. Lipkowitz, in: Reviews in Computational Chemistry, K. B. Lipkowitz and D. B. Boyd, eds., vol. 4, p. v, VCH Publishers, New York, 1993.

    Google Scholar 

  63. G. Wiggins, Chemical Informatics Home Page at Indiana University; http://www.indiana.edu/∼cheminfo/informatics/cinformhome.html.

  64. D. L. Massart, B. G. M. Vandeginste, S. N. Deming, Y. Michotte, and L. Kaufman, Chemometrics: a textbook, Elsevier, Amsterdam, 1988.

    Google Scholar 

  65. S. D. Brown, S. T. Sum, F. Despagne, and B. K. Lavine, Anal. Chem. 68 (1996) 21R.

    Google Scholar 

  66. P. Lanteri and R. Longeray, Analusis 24(2) (1996) M17.

    CAS  Google Scholar 

  67. D. B. Boyd, personal communication, November 1997.

    Google Scholar 

  68. R. R. Sokal and F. J. Rohlf, Biometry, The Principles and Practice of Statistics in Biological Research, 3rd edn., Freeman and Co., New York, 1995.

    Google Scholar 

  69. W. J. Hurst, ed., Automation in the Laboratory, VCH Publishers, New York, 1995.

    Google Scholar 

  70. R. D. McDowall, Chemometr. Intell. Lab. Syst. Lab. Inform. Manag., 17 (1992) 265.

    CAS  Google Scholar 

  71. R. D. McDowall, Chemometr. Intell. Lab. Syst. Lab. Inform. Manag., 13 (1991) 121.

    CAS  Google Scholar 

  72. T. L. Isenhour, S. E. Eckert, and J. C. Marshall, Anal. Chem. 61 (1989) 805A.

    CAS  Google Scholar 

  73. F. H. Zenie, Fresenius J. Anal. Chem. 339 (1991) 797.

    Article  Google Scholar 

  74. R. D. McDowall, Lab. Inf. Manag. 26 (1994) 37.

    Google Scholar 

  75. J. Liscouski, J.Autom. Chem. 17 (1995) 191.

    Google Scholar 

  76. A. Sameh and J. Riganati, IEEE Computer, October 1993, p. 8.

    Google Scholar 

  77. A. Sameh, IEEE Comp. Sci. Eng. 2(1) (1995) 1.

    Google Scholar 

  78. A. Sameh, ACM Comput. Surv. 28 (1996) 810.

    Article  Google Scholar 

  79. D. E. Stevenson, IEEE Comp. Sci. Eng. 4(2) (1997) 49.

    Google Scholar 

  80. G. Cybenko and H. Wijshoff, IEEE Comp. Sci. Eng. 3(3) (1996) 1.

    Google Scholar 

  81. R. H. Landau and M. J. Páez Mejiá, Computational Physics, Problem Solving-with Computers, Wiley, New York, 1997.

    Google Scholar 

  82. D. G. Truhlar, IEEE Comp. Sci. Eng. 1(3) (1994) 80.

    Google Scholar 

  83. D. P. O’ Leary, IEEE Comp. Sci. Eng. 4(2) (1997) 13.

    Google Scholar 

  84. A. Sameh, IEEE Comp. Sci. Eng. 2(4) (1995) 1.

    Google Scholar 

  85. J. R. Rice, Comput. Res. News, January 1991, p. 11.

    Google Scholar 

  86. J. R. Rice, IEEE Comp. Sci. Eng. 1(1) (1994) 13.

    Google Scholar 

  87. E. Gallopoulos and A. Sameh, IEEE Comp. Sci. Eng. 4(2) (1997) 39.

    Google Scholar 

  88. B. Ford and F. Chatelin, eds., Problem Solving Environments for Scientific Computing, North-Holland, Amsterdam, 1987.

    Google Scholar 

  89. E. Gallopoulos, E. Houstis, and J. R. Rice, IEEE Comp. Sci. Eng. 1(2) (1994) 11.

    Google Scholar 

  90. J. R. Rice and R. F. Boisvert, IEEE Comp. Sci. Eng. 3(3) (1996) 44.

    Google Scholar 

  91. E. Gallopoulos, E. N. Houstis, and J. R. Rice, ACM Comput. Surv. 27 (1995) 277.

    Article  Google Scholar 

  92. E. Gallopoulos, E. Houstis, and J. R. Rice, Future Research Directions in Problem Solving Environments for Computational Science, Tech. Report CSD TR-92-032, Computer Sciences Dept, Purdue Univ., W. Lafayette, Ind., 1992. Available from http://www.cs.purdue.edu/research/cse/publications/tr/92/.

    Google Scholar 

  93. J. R. Rice, Scalable Scientific Software Libraries and Problem Solving Environments, Tech, Report CSD TR-96-001, Computer Sciences Dept., Purdue Univ., W. Lafayette, Ind., 1996. Available from http://www.cs.purdue.edu/research/cse/publications/tr/96/.

    Google Scholar 

  94. J. R. Rice, IEEE Comp. Set. Eng. 4(2) (1997) 44.

    Google Scholar 

  95. E.N. Houstis, J. R. Rice, S. Markus, and S. Weerawarana, HPCU News 1(1) (1997); http://www.hpcu.org/hpcunews/voll/issue1/netswp.html.

  96. A. Joshi, S. Weerawarana, N. Ramakrishnan, E.N. Houstis, and J. R. Rice, IEEE Comp. Sci. Eng. 3(1) (1996) 44.

    Google Scholar 

  97. E. N. Houstis, A. Joshi, J. R. Rice, T. Drashansky, and S. Weerawarana, HPCU News 1(1) (1997); http://www.hpcu.org/hpcunews/voll/issue1/mpse.html.

  98. E. N. Houstis, A. Joshi, J. R. Rice, and S. Weerawarana, MPSE: Multidisciplinary Problem Solving Environments, in: America in the Age of Information: A Forum, National Science and Technology Council, Committee on Information and Communications White Paper, 1995; http://www.cs.purdue.edu/homes/joshi/resch/.

  99. H. S. McFaddin and J. R. Rice, Appl. Numer. Math. 10 (1992) 279.

    Article  Google Scholar 

  100. M. Mu and J. R. Rice, Contemp. Math. 180 (1994) 427.

    Google Scholar 

  101. H. de Jong and A. Rip, Artif. Intell. 91 (1997) 225.

    Google Scholar 

  102. H. A. Simon, R. E. Valdés-Pérez, and D. H. Sleeman, Artif. Intell. 91 (1997) 177.

    Article  Google Scholar 

  103. P. Langley, H. A Simon, G. L. Bradshaw, and J. MŻytkow, Scientific Discovery, Computational Explorations of the Creative Processes, The MIT Press, Cambridge, MA, 1987.

    Google Scholar 

  104. J. Żytkow, ed., Machine Discovery, Kluwer Publishers, Dordrecht, 1997.

    Google Scholar 

  105. R. E. Valdés-Pérez, J. Comput. Chem. 15 (1994) 1266.

    Google Scholar 

  106. J. Glanz, Science 269 (1995) 1363.

    CAS  Google Scholar 

  107. G. Cybenko, IEEE Comp. Sci. Eng. 4(2) (1997) 1.

    Google Scholar 

  108. P. F. Dubois, Comput. Phys. 11 (1997) 168.

    Google Scholar 

  109. K. Leutwyler, Sci. Am. 277(1) (1997) 19.

    Google Scholar 

  110. S. R. McKay and W. Christian, Comput. Phys. 11 (1997) 257.

    Google Scholar 

  111. L. M. Holmes, ed., Comput. Phys. 11 (1997) 542.

    Google Scholar 

  112. J. C. Browne, Comput. Phys. 10 (1996) 5.

    Google Scholar 

  113. N. Gershenfeld, Phys. Today 48 (1995) 50.

    Google Scholar 

  114. I. Ugi, M. Heilingbrunner, and B. Gruber, Nachr. Chem. Tech. Lab. 45 (1997) 507.

    Google Scholar 

  115. L. Hood, in: The Code of Codes, Scientific and Social Issues in the Human Genome Project, D. J. Kevles and L. Hood, eds., p. 136, Harvard University Press, Cambridge, MA, 1993.

    Google Scholar 

  116. D. Tsichritzis in: Beyond Calculation, The Next Fifty Years of Computing, P. J. Denning and R. M. Metcalfe, eds., p. 259, Copernicus, New York, 1997.

    Google Scholar 

  117. D. G. Bobrow and P. J. Hayes, Artif. Intell. 25 (1985) 3.

    Article  Google Scholar 

  118. International Union of Pure and Applied Chemistry, Analytical Chemistry Division, Commission on Electroanalytical Chemistry, Pure Appl. Chem. 45 (1976) 81.

    Google Scholar 

  119. Z. Galus, Fundamentals of Electrochemical Analysis (second edn.), Horwood, New York, and Polish Scientific Publishers PWN, Warsaw, 1994, and references cited therein.

    Google Scholar 

  120. P. T. Kissinger and W. R. Heineman, eds., Laboratory Techniques in Electroanalytical Chemistry (second edn.), Marcel Dekker, New York, 1996.

    Google Scholar 

  121. I. Rubinstein, ed., Physical Electrochemistry-Principles, Methods, and Applications, Marcel Dekker, New York, 1995.

    Google Scholar 

  122. M. Frenklach in: Combustion Chemistry, W. C. Gardiner, Jr., ed., p. 423, Springer, New York, 1984.

    Google Scholar 

  123. J. T. Hwang, Proc. Nat. Sci. Counc. A (ROC) 11 (1987) 1.

    CAS  Google Scholar 

  124. R. S. Nicholson and I. Shain, Anal. Chem. 36 (1964) 706.

    Article  CAS  Google Scholar 

  125. B. Speiser, Anal. Chem. 57 (1985) 1390.

    Article  CAS  Google Scholar 

  126. B. Scharbert and B. Speiser, J. Chemom. 3 (1988) 61.

    CAS  Google Scholar 

  127. B. Speiser, J. Electroanal Chem. 301 (1991) 15.

    Article  CAS  Google Scholar 

  128. E. G. Jäger and M. Rudolph, J. Electroanal. Chem. 434 (1997) 1.

    Google Scholar 

  129. C. Amatore, L. Nadjo and J. M. Saveant, J. Electroanal Chem. 90 (1978) 321.

    Article  CAS  Google Scholar 

  130. A. M. Bond, T. L. E. Henderson and K. B. Oldham, J. Electroanal. Chem. 191 (1985) 75.

    Article  CAS  Google Scholar 

  131. C. G. Zoski, K. B. Oldham, P. J. Mahon, T. L. E. Henderson, and A. M. Bond, J. Electroanal. Chem. 297 (1991) 1.

    Article  CAS  Google Scholar 

  132. J. R. MacDonald, J. Schoonman, and A. P. Lehnen, J. Electroanal Chem. 131 (1982) 77.

    Article  CAS  Google Scholar 

  133. P. Żóltowski, J. Electroanal. Chem.424 (1997) 173.

    Google Scholar 

  134. T. J. VanderNoot and I. Abrahams, J. Electroanal. Chem. 448 (1998) 17.

    Article  CAS  Google Scholar 

  135. S. W. Feldberg and C. Auerbach, Anal Chem. 36 (1964) 505.

    Article  CAS  Google Scholar 

  136. J. M. Hale, J. Electroanal. Chem. 6 (1963) 187.

    Article  CAS  Google Scholar 

  137. S. Srinivasan and E. Gileadi, Electrochim. Acta 11 (1966) 321.

    Article  CAS  Google Scholar 

  138. P. Stonehart, H. A. Kozlowska, and B. E. Conway, Proc. Roy. Soc. A 310 (1969) 541.

    CAS  Google Scholar 

  139. E. Laviron, Electrochim. Acta 16 (1971) 409.

    Article  CAS  Google Scholar 

  140. F. G. Lether and P. R. Wenston, Comput. Chem. 11 (1987) 179.

    Article  Google Scholar 

  141. F. G. Lether and V. Shivpuri, Comput. Chem. 14 (1990) 177.

    Article  Google Scholar 

  142. A. Natarajan and N. Mohankumar, Comput. Chem. 21 (1997) 315.

    Article  CAS  Google Scholar 

  143. R. S. Nicholson and M. L. Olmstead, in: Computers in Chemistry and Instrumentation, vol. 2, Electrochemistry-Calculations, Simulation and Instrumentation, J. S. Mattson, H. B. Mark, Jr., and H. C. MacDonald, Jr., eds., p. 119, Marcel Dekker, New York, 1972.

    Google Scholar 

  144. M. V. Mirkin and A. J. Bard, J. Electroanal Chem. 323 (1992) 1.

    CAS  Google Scholar 

  145. M. V. Mirkin and A. J. Bard, J. Electroanal Chem. 323 (1992) 29.

    CAS  Google Scholar 

  146. W. H. Reinmuth, Anal. Chem. 33 (1961) 1793.

    CAS  Google Scholar 

  147. K. B. Oldham, J. Electroanal. Chem. 105 (1979) 373.

    Article  CAS  Google Scholar 

  148. J. C. Myland and K. B. Oldham, Anal. Chem. 66 (1994) 1866.

    Article  CAS  Google Scholar 

  149. D. K. Cope, Anal. Chem. 69 (1997) 1465.

    Article  CAS  Google Scholar 

  150. K. B. Oldham and J. Spanier, The Fractional Calculus, Academic Press, Orlando, 1974.

    Google Scholar 

  151. D. Bustin, J. Mocak, and J. Garaj, Chem. Listy 81 (1987) 1009.

    CAS  Google Scholar 

  152. G. Anger, Inverse Problems in Differential Equations, Akademie-Verlag, Berlin, 1990.

    Google Scholar 

  153. U. Nowak and P. Deuflhard in: Progress in Scientific Computing, vol. 2, Numerical Treatment of Inverse Problems in Differential and Integral Equations, P. Deuflhard and E. Hairer, eds., p. 13, Birkhäuser, Boston, 1983.

    Google Scholar 

  154. A. A. B. Pritsker, Simulation 33(2) (1979) 61.

    Google Scholar 

  155. J. Klinger, B. E. Conway, and H. Angerstein-Kozlowska, Comput. Chem. 2 (1978) 117.

    Article  CAS  Google Scholar 

  156. W. J. Cook and U. Landau, Proc. Electrochem. Soc. 86-8 (1986) 29.

    Google Scholar 

  157. J. Mager, Prace Naukowe Instytutu Chemii Nieorganicznej i Metalurgii Pierwiastków Rzadkich Politechniki Wroclawskiej, 55 (1986) 205.

    CAS  Google Scholar 

  158. Condesim Simulation Software, EG & G Princeton Applied Research, Princeton, New York 08543-2565, P.O. Box 2565.

    Google Scholar 

  159. B. Speiser, Comput. Chem. 14 (1990) 127.

    Article  CAS  Google Scholar 

  160. B. Speiser in: Software-Entwicklung in der Chemie 3, G. Gauglitz, ed., p. 321, Springer, Berlin, 1989.

    Google Scholar 

  161. G. Sánchez, G. Codina, and A. Aldaz, J. Chem. Educ. 68 (1991) 489.

    Article  Google Scholar 

  162. D. K. Gosser and F. Zhang, Talanta 38 (1991) 715.

    Article  CAS  Google Scholar 

  163. D. K. Gosser, Jr., Cyclic Voltammetry, Simulation and Analysis of Reaction Mechanisms, VCH Publishers, New York, 1993.

    Google Scholar 

  164. D. K. Gosser, Jr., in: Modern Techniques in Electroanalysis, Chemical Analysis Series, P. Vanýsek, ed., vol. 139, p. 313, Wiley, New York, 1996.

    Google Scholar 

  165. L. K. Bieniasz, Comput. Chem. 16 (1992) 11.

    CAS  Google Scholar 

  166. L. K. Bieniasz, Comput. Chem. 17 (1993) 355.

    Article  CAS  Google Scholar 

  167. L. K. Bieniasz, Comput. Chem. 20 (1996) 403.

    Article  CAS  Google Scholar 

  168. L. K. Bieniasz, Comput. Chem. 21 (1997) 1.

    CAS  Google Scholar 

  169. J. Penar, A. Persona, and A. Stawiński, Pol. J. Chem. 67 (1993) 529.

    CAS  Google Scholar 

  170. M. Rudolph, D. P. Reddy, and S. W. Feldberg, Anal. Chem. 66 (1994) 589A.

    CAS  Google Scholar 

  171. M. Rudolph in: Physical Electrochemistry-Principles, Methods, and Applications, I. Rubinstein, ed., p. 81, Marcel Dekker, New York, 1995.

    Google Scholar 

  172. A. W. Bott, S. W. Feldberg, and M. Rudolph, Curr. Sep. 15(2) (1996) 67.

    CAS  Google Scholar 

  173. M. W. Verbrugge and H. Gu, Proc. Electrochem. Soc. 94 (1994) 153.

    Google Scholar 

  174. W. Huang and B. Hibbert, Comput. Chem. 19 (1995) 433.

    CAS  Google Scholar 

  175. W. Huang, 49 th ISE Meeting, Extended Abstracts, abstract P-l-15-13, Kitakyushu, Japan, 1998.

    Google Scholar 

  176. P. He and M. Chen, 46 th ISE Meeting, Extended Abstracts, vol. 1, abstract I-3-06., Xiamen University Press, Xiamen, China, 1995.

    Google Scholar 

  177. C. M. Villa and T. W. Chapman, Ind. Eng. Chem. Res. 34 (1995) 3445.

    Article  CAS  Google Scholar 

  178. M. Kolár; http://www.pangea.ca/~kolar/software/index.html.

  179. C. Nervi; http://chpc06.ch.unito.it/esp_manual.html.

  180. U. Biader Cerpidor, S. Ferraro, P. Passamonti, and F. Pucciarelli, Ann. Chim. (Rome) 88 (1998) 13.

    Google Scholar 

  181. G. Nelissen and P. F. Vankeirsbilck in: Modern Software Tools for Scientific Computing, E. Arge, A. M. Bruaset, and H. P. Langtangen, eds., p. 81, Birkhauser, Boston, 1997.

    Google Scholar 

  182. J. A. Alden and R. G. Compton, J. Phys. Chem. B, 101 (1997) 8941.

    CAS  Google Scholar 

  183. J. A. Alden and R. G. Compton, J. Phys. Chem. B, 101 (1997) 9606.

    CAS  Google Scholar 

  184. M. Bos, E. Hoogendam, and W. E. van der Linden, Anal. Chim. Acta 211 (1988) 61.

    Article  CAS  Google Scholar 

  185. M. Palys, M. Bos, and W. E. van der Linden, Anal. Chim. Acta231 (1990) 59.

    CAS  Google Scholar 

  186. M. Palys, M. Bos, and W. E. van der Linden, Anal. Chim. Acta248 (1991) 429.

    Article  CAS  Google Scholar 

  187. M.J. Palys, M. Bos, and W. E. van der Linden, Anal. Chim. Acta283 (1993) 811.

    Article  CAS  Google Scholar 

  188. M.J. Palys, M. Bos, and W. E. van der Linden, Anal Chim. Acta284 (1993) 107.

    Article  CAS  Google Scholar 

  189. I. Ruisánchez, M. S. Larrechi, F. X. Rius, and M. Esteban, Trends Anal. Chem. 11 (1992) 135.

    Google Scholar 

  190. M. Esteban, I. Ruisánchez, M. S. Larrechi, and F. X. Rius. Anal Chim. Acta 268 (1992) 95.

    CAS  Google Scholar 

  191. M. Esteban, I. Ruisánchez, M. S. Larrechi, and F. X. Rius, Anal. Chim. Acta 268 (1992) 107.

    CAS  Google Scholar 

  192. M. Esteban, C. Ariño, I. Ruisánchez, M. S. Larrechi, and F. X. Rius, Anal. Chim. Acta 284 (1993) 435.

    Article  CAS  Google Scholar 

  193. M. Esteban, C. Ariño, I. Ruisánchez, M. S. Larrechi, and F. X. Rius, Anal. Chim. Acta 285 (1994) 193.

    CAS  Google Scholar 

  194. M. Esteban, C. Ariño, I. Ruisánchez, M. S. Larrechi, and F. X Rius, Anal Chim. Acta 285 (1994) 377.

    CAS  Google Scholar 

  195. J. A. Alden and R. G. Compton, J. Phys. Chem. B 101 (1997) 9741.

    CAS  Google Scholar 

  196. J. A. Alden and R. G. Compton, Electroanalysis 10 (1998) 207.

    Article  CAS  Google Scholar 

  197. P. He, J. P. Avery, and L. R. Faulkner, Anal. Chem. 54 (1982) 1313A.

    CAS  Google Scholar 

  198. Z. Nagy, L. A. Curtiss, N. C. Hung, D. J. Zurawski, and R. M. Yonco, J. Electroanal. Chem. 325 (1992) 313.

    Article  CAS  Google Scholar 

  199. S. Zurita, J. Rubio, and F. Illas, Electrochim. Acta 41 (1996) 2275.

    Article  CAS  Google Scholar 

  200. J. B. Straus, A. Calhoun, and G. A. Voth. J. Chem. Phys. 102 (1993) 529.

    Google Scholar 

  201. C. Bureau, M. Defranceschi, J. Delhalle, G. Deniau, J. Tanguy, and G. Lécayon, Surf. Set. 311 (1994) 349.

    CAS  Google Scholar 

  202. C. Bureau, G. Deniau, F. Valin, M. J. Guittet, G. Lécayon, and J. Delhalle, Surf.Sci. 355 (1996) 177.

    Article  CAS  Google Scholar 

  203. G. M. Torrie and J. P. Valleau, J. Phys. Chem. 86 (1982) 3251.

    Article  CAS  Google Scholar 

  204. D. Y. Li and J. A. Szpunar, Electrochim. Acta 42 (1997) 47.

    CAS  Google Scholar 

  205. J. N. Glosli and M. R. Philpott, Electrochim. Acta 41 (1996) 2145.

    Article  CAS  Google Scholar 

  206. E. Spohr, G. Tóth, and K. Heinzinger,.Electrochim. Acta 41 (1996) 2131.

    Article  CAS  Google Scholar 

  207. J. W. Halley, Electrochim. Acta 41 (1996) 2229.

    Article  CAS  Google Scholar 

  208. P. A. Rikvold, J. Zhang, Y. E. Sung, and A. Wieckowski, Electrochim. Acta 41 (1996) 2175.

    Article  CAS  Google Scholar 

  209. P. Meakin and B. Sapoval, Phys. Rev. A 46 (1992) 1022.

    CAS  Google Scholar 

  210. G. Yusem and P. N. Pintauro, J. Appl. Electrochem. 27 (1997) 1157.

    Article  CAS  Google Scholar 

  211. L. K. Bieniasz, J. Electroanal. Chem. 406 (1996) 33.

    CAS  Google Scholar 

  212. L. K. Bieniasz, J. Electroanal Chem. 406 (1996) 45.

    CAS  Google Scholar 

  213. W. Luo, S. W. Feldberg, and M. Rudolph, J. Electroanal. Chem. 368 (1994) 109.

    Article  CAS  Google Scholar 

  214. L. K. Bieniasz, J. Electroanal. Chem. 340 (1992) 19.

    Article  CAS  Google Scholar 

  215. L. K. Bieniasz and D. Britz, Anal. Chim. Acta 278 (1993) 59.

    Article  CAS  Google Scholar 

  216. L. K. Bieniasz, J. Electroanal Chem. 404 (1996) 195.

    Article  CAS  Google Scholar 

  217. W. G. Bardsley and N. Prasad, Comput. Chem. 21 (1997) 71.

    Article  CAS  Google Scholar 

  218. M. A. N. D. A. Lemos and A. J. L. Pombeiro in: Molecular Electrochemistry of Inorganic, Bioinorganic and Organometallic Compounds, A. J. L. Pombeiro and J. A. McCleverty, eds., p. 477, NATO ASI Series C, Kluwer Publishers, Dordrecht, 1993.

    Google Scholar 

  219. V. K. Saul’ yev, Integration of Equations of Parabolic Type by the Method of Nets, Pergamon Press, Oxford, 1964.

    Google Scholar 

  220. B.T Marques da Silva, L. A. Avaca, and E. R. Gonzáles, J. Electroanal. Chem. 250 (1988) 457.

    Google Scholar 

  221. B. Marques da Silva, L. A. Avaca, and E. R. Gonzáles, J. Electroanal. Chem. 269 (1989) 1.

    Google Scholar 

  222. D. Britz, B. Marques da Silva, L. A. Avaca, and E. R. Gonzáles, Anal. Chim. Acta 239 (1990) 87.

    Article  CAS  Google Scholar 

  223. D. Britz and M. F. Nielsen, Collect. Czech. Chem. Commun. 56 (1991) 20.

    CAS  Google Scholar 

  224. F. Magno, G. Bontempelli, and D. Perosa, Anal. Chim. Acta 147 (1983) 65.

    Article  CAS  Google Scholar 

  225. K. B. Su and B. Speiser, poster at the Journées d’Électrochimie, Dijon, France, 1987.

    Google Scholar 

  226. L, K. Bieniasz and D. Britz, Acta Chem. Scand. 47 (1993) 757.

    Article  CAS  Google Scholar 

  227. L. K. Bieniasz and D. Britz, Acta Chem. Scand. 48 (1994) 609.

    CAS  Google Scholar 

  228. R. Courant, K. Friedrichs, and H. Levy, Math. Ann. 100 (1928) 32.

    Article  Google Scholar 

  229. D. Britz, J. Electroanal Chem. 240 (1988) 17.

    CAS  Google Scholar 

  230. J. Crank and P. Nicolson, Proc. Cambridge Phil. Soc. 43 (1947) 50.

    Article  Google Scholar 

  231. C. P. Andrieux, J. M. Dumas-Bouchiat, and J. M. Savéant, J. Electroanal. Chem. 87 (1978)39.

    CAS  Google Scholar 

  232. S. U. Pedersen and B. Svensmark, Acta Chem. Scand. A40 (1986) 607.

    CAS  Google Scholar 

  233. B. Speiser, Acta Chem. Scand. 47 (1993) 1238., and references cited therein.

    Article  CAS  Google Scholar 

  234. F. B. Hildebrand, Finite-Difference Equations and Simulations, Prentice-Hall, Englewood Cliffs, N. J., 1968, p. 202.

    Google Scholar 

  235. A. R. Mitchell and D. F. Griffiths, The Finite Difference Method in Partial Differential Equations, Wiley, Chichester, 1985.

    Google Scholar 

  236. L. Lapidus and G. F. Pinder, Numerical Solution of Partial Differential Equations in Science and Engineering, Wiley, New York, 1982.

    Google Scholar 

  237. G. D. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods (3 rd edn.), Clarendon Press, Oxford, 1985.

    Google Scholar 

  238. M. Thuné in: PDE Software: Modules, Interfaces and Systems, B. Engquist and T. Smedsaas, eds., p. 89, Elsevier, Amsterdam, 1984.

    Google Scholar 

  239. E. V. Vorozhtsov and S. I. Mazurik, Sov. Math. Dokl. 39 (1989) 564.

    Google Scholar 

  240. L. K Bieniasz, J. Electroanal. Chem. 345 (1993) 13.

    Article  CAS  Google Scholar 

  241. J. Von Neumann and R. D. Richtmyer, J. Appl. Phys. 21 (1950) 232.

    Google Scholar 

  242. G. G. O’Brien, M. A. Hyman, and S. Kaplan, J. Math, and Phys. 29 (1950) 223.

    Google Scholar 

  243. O. Østerby, in: Proceedings of the 2nd International Colloquium on Numerical Analysis, D. Bainov and V. Covachev, eds., p. 165, VSP, Plovdiv, Bulgaria, 1994.

    Google Scholar 

  244. I. Ružić and D. Britz, Acta Chem. Scand.45 (1991) 1087.

    Google Scholar 

  245. E. C. Du Fort and S. P. Frankel, Math. Tables Other Aids Comput. 7 (1953) 135.

    Google Scholar 

  246. P. Laasonen, ActaMath. 81 (1949) 309.

    Google Scholar 

  247. K. E. Reinert and H. Berg, Monatber. Deutsch. Akad. Wiss. Berlin 4 (1962) 26.

    CAS  Google Scholar 

  248. D. Britz and O. Østerby, J. Electroanal Chem. 368 (1994) 143.

    Article  CAS  Google Scholar 

  249. L. K. Bieniasz, O. Østerby, and D. Britz, Comput. Chem. 19 (1995) 121.

    CAS  Google Scholar 

  250. L. K. Bieniasz, O. Østerby, and D. Brilz, Comput. Chem. 19 (1995) 351.

    CAS  Google Scholar 

  251. L. K. Bieniasz, O. Østerby, and D. Britz, Comput. Chem. 19 (1995) 357.

    CAS  Google Scholar 

  252. L. K. Bieniasz, O. Østerby, and D. Britz, Comput. Chem. 21 (1997) 391.

    CAS  Google Scholar 

  253. G. W. Batten, Jr., Math. Comput. 17 (1963) 405.

    Google Scholar 

  254. D. Britz, Anal. Chim. Acta 193 (1987) 277.

    Article  CAS  Google Scholar 

  255. W. L. Wood and R. W. Lewis, Int. J. Num. Meth. Eng. 9 (1975) 679.

    Article  Google Scholar 

  256. M. Störzbach and J. Heinze, J. Electroanal. Chem. 346 (1993) 1.

    Google Scholar 

  257. M. M. Nicholson, J. Am. Chem. Soc. 79 (1957) 7.

    Article  CAS  Google Scholar 

  258. S. W. Feldberg, C. I. Goldstein, and M. Rudolph, J. Electroanal. Chem. 413 (1996) 25.

    Article  CAS  Google Scholar 

  259. D. Britz, Comput. Chem. 21 (1997) 97.

    Article  CAS  Google Scholar 

  260. K. Johannsen and D. Britz, Comput. Chem. 23 (1999) 33.

    Article  CAS  Google Scholar 

  261. J. Mocak and S. W. Feldberg, J. Electroanal. Chem. 378 (1994) 31.

    Article  CAS  Google Scholar 

  262. S. W. Feldberg and C. I. Goldstein, J. Electroanal. Chem. 397 (1995) 1.

    Article  CAS  Google Scholar 

  263. R. D. Richtmyer and K. W. Morton, Difference Methods for Initial Value Problems (second edn.), Interscience, New York, 1967.

    Google Scholar 

  264. D. Britz, Comput. Chem. 22 (1998) 237.

    CAS  Google Scholar 

  265. J. D. Lawson and J. Ll. Morris, SIAM J. Numer. Anal. 15 (1978) 1212.

    Google Scholar 

  266. A. R. Gourlay and J. Ll. Morris, SIAM J. Numer. Anal. 17 (1980) 641.

    Article  Google Scholar 

  267. J. Strutwolf and W. W. Schoeller, Electroanalysis 9 (1997) 1403.

    Article  CAS  Google Scholar 

  268. C. T. M. Baker, The Numerical Treatment of Integral Equations, Clarendon Press, Oxford, 1978.

    Google Scholar 

  269. L. K. Bieniasz, Comput. Chem. 16 (1992) 311.

    CAS  Google Scholar 

  270. M. Krasnov, A. Kiselev, and G. Makarenko, Problems and Exercises in Integral Equations, Mir Publishers, Moscow, 1971, p. 166.

    Google Scholar 

  271. N. V. Kopchenova and I. A. Maron, Computational Mathematics, Worked Examples and Problems with Elements of Theory, Mir Publishers, Moscow, 1981, p. 323.

    Google Scholar 

  272. L. K. Bieniasz, J. Electroanal. Chem. 347 (1993) 15.

    Article  CAS  Google Scholar 

  273. T. Joslin and D. Fletcher, J. Electroanal. Chem. 49 (1974) 171.

    Article  CAS  Google Scholar 

  274. S. W. Feldberg, J. Electroanal. Chem. 127 (1981) 1.

    Article  CAS  Google Scholar 

  275. R. Seeber and S. Stefani, Anal. Chem. 53 (1981) 1011.

    CAS  Google Scholar 

  276. S. C. Yen and T. W. Chapman, J. Electroanal. Chem. 135 (1982) 305.

    Article  CAS  Google Scholar 

  277. P. Urban and B. Speiser, J. Electroanal. Chem. 241 (1988) 17.

    Article  CAS  Google Scholar 

  278. A. C. Hindmarsh and L R. Petzold, Comput. Phys. 9(2) (1995) 148.

    Article  Google Scholar 

  279. J. F. Thompson, Appl. Numer. Math 1 (1985) 3.

    Article  Google Scholar 

  280. J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin, J. Comput. Phys. 47 (1982) 1.

    Article  Google Scholar 

  281. L. K. Bieniasz, J.Electroanal. Chem. 360(1993) 119.

    Article  CAS  Google Scholar 

  282. L. K. Bieniasz, J. Electroanal. Chem. 374 (1994) 1.

    CAS  Google Scholar 

  283. L. K. Bieniasz, J. Electroanal. Chem. 374 (1994) 23.

    CAS  Google Scholar 

  284. L. K Bieniasz, J. Electroanal. Chem. 379 (1994) 71.

    Article  CAS  Google Scholar 

  285. J. G. Blom, J. M. Sanz-Serna, and J. G. Verwer, J. Comput. Phys. 74 (1988) 191.

    Article  Google Scholar 

  286. J. G. Verwer, J. G. Blom, and J. M. Sanz-Serna, J. Comput. Phys. 82 (1989) 454.

    Article  Google Scholar 

  287. W. Pankiewicz, Commun. ACM 13 (1970) 259.

    Article  Google Scholar 

  288. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970, p. 181.

    Google Scholar 

  289. L. K. Bieniasz and B. Speiser, J. Electroanal. Chem. 441 (1998) 271.

    Article  CAS  Google Scholar 

  290. L. K. Bieniasz, S. Dümmling, B. Speiser, and M. Würde, J. Electroanal. Chem. 447 (1998) 173.

    Article  CAS  Google Scholar 

  291. L. K. Bieniasz and B. Speiser, J. Electroanal. Chem. 458 (1998) 209.

    Article  CAS  Google Scholar 

  292. H. Rabitz, Comput. Chem. 5 (1981) 167.

    Article  CAS  Google Scholar 

  293. J. W. Tilden, V. Costanza, G. J. McRae, and J. H. Seinfeld, Springer Ser. Chem. Phys. 18 (1981)69.

    CAS  Google Scholar 

  294. H. Rabitz, M. Kramer, and D. Dacol, Ann. Rev. Phys. Chem. 34 (1983) 419.

    Article  CAS  Google Scholar 

  295. H. Rabitz, Lect. Notes Math. 1086 (1983) 77.

    Google Scholar 

  296. H. Rabitz, Springer Proc. Phys. 1 (1984) 196.

    CAS  Google Scholar 

  297. H. Rabitz in: Frontiers in Applied Mathematics, The Mathematics of Combustion, J. Buckmaster, ed., p. 47, SIAM, Philadelphia, 1985.

    Google Scholar 

  298. H. Rabitz, Chem. Rev. 87 (1987) 101.

    Article  CAS  Google Scholar 

  299. T. Turányi, J. Math. Chem. 5 (1990) 203.

    Google Scholar 

  300. L. K. Bieniasz, ELSIM v. 3.0 User’s Manual, Kraków, 1996 (unpublished).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physical Chemistry of the Polish Academy of Sciences, Molten Salts Laboratory, ul. Zagrody 13, 30-318, Cracow, Poland

    L. K. Bieniasz

Authors
  1. L. K. Bieniasz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Ottawa, Ottawa, Ontario, Canada

    Brian E. Conway

  2. University of South Carolina, Columbia, South Carolina

    Ralph E. White

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Bieniasz, L.K. (2002). Towards Computational Electrochemistry - a Kineticist’s Perspective. In: Conway, B.E., White, R.E. (eds) Modern Aspects of Electrochemistry. Modern Aspects of Electrochemistry, vol 35. Springer, Boston, MA. https://doi.org/10.1007/0-306-47604-5_3

Download citation

  • DOI: https://doi.org/10.1007/0-306-47604-5_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46776-9

  • Online ISBN: 978-0-306-47604-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation