Research activities

Research concentrates mainly on electrochemical digital simulation; that is, the solution of Fick's diffusion equation, with the special boundary conditions given by the electrochemical context. In recent times, some of the major problems have been solved, such as that of fast homogeneous reactions, coupled reactions, and stability in this context has been examined. We now have a handle on most of these problems and the publications list reflects activity on these fronts.

The above holds for one-dimensional systems, and the thrust is now in 2-D systems, in particular that for the microelectrodes, that are now ubiquitous. We must be able to simulate these systems efficiently, in order to, for example, measure reaction rates. Some preliminary work indicates that there may be unexpected stability problems here, and these need examination. "Brute force" has been tried but now abandoned in favour of sparse matrix solvers such as MA28. Crank-Nicolson's oscillations have been tamed, and the BDF method investigated. Higher-order derivative approximations have been developed, increasing efficiency, and reference values computed for current at an ultramicrodisk and -band electrodes.

ADI methods are often used for convenience, rather than sparse matrices, to solve these 2D systems, and the most commonly used method, that of Peaceman and Rachford, is prone to the same oscillations as Crank-Nicolson. We have worked on this and a paper has been published in which we show how to eliminate the oscillations, by five different approaches. We have also recently provided accurate reference values of the current at the ultramicrodisk and ultramicroband electrodes. Recent work includes simulation of the conical well electrode, the conical-tip electrode and accurate values of fluxes at cylindrical and capped cylindrical electrodes. Presently work is in progress on the use of the Saul'yev method for these two-dimensional systems.

External collaborators

Recent publications


  • Digital Simulation in Electrochemistry, Fourth edition, Dieter Britz and Jörg Strutwolf,
    Springer Verlag, Heidelberg 2005. ISBN: 978-3-319-30290-4 (E-book), 978-3-319-30290-8 (Hard cover).
    The book comes with programming examples.
  • Fortran 90/95 bog på dansk (Fortran 90/95 text in Danish),
    kan downloades her.
  • Num. Comp. notes, in Danish and English,
    Download here.

    Papers of the last 5 years, in reverse order:

  • Use of the Saul'yev method for the digital simulation of chronoamperometry and linear sweep voltammetry at the ultramicrodisk electrode, D. Britz, J. Strutwolf and O. Østerby,
    Electrochim. Acta 256 (2017), 17-23.
  • Non-Enzymatic Aldol Reaction of Acetoacetate and Methylglyoxal Leads to Novel Metabolite during Diabetic Ketosis, T.Salomon, C. Sibbersen, J. Hansen1, D. Britz, M. Vandsted Svart, T. Schmidt Voss, N. Møller, N. Gregersen, K. A. Jørgensen, J. Palmfeldt, T. B. Poulsen and M. Johannsen,
    Cell Chem. Biol. 24 (2017), 935-943.
  • Surface concentration nonuniformities resulting from chronoamperometry of a reversible reaction at an ultramicrodisk electrode D. Britz, J. Strutwolf, J. Electroanal. Chem. 776 (2016) 202-205.
  • Digital simulation of chronoamperometry at a disk electrode under a flat polymer film containing an enzyme D. Britz, J. Strutwolf, Electrochim. Acta 152 (2015) 302-307.
  • Several ways to simulate time dependent liquid junction potentials by finite differences D. Britz, O. J. Strutwolf, Electrochim. Acta 137 (2014) 328-335.
  • Digital simulation of Electrochemistry at Microelectrodes D. Britz, O. J. Strutwolf, in Microelelectrodes (Ed.: K.F. Lei) (2014) 1-85, Nova Science Publishers, New York.
  • Digital simulation of chronoamperometry at an electrode within a hemispherical polymer drop containing an enzyme: Comparison of a hemispherical with a flat disk electrode D. Britz, O. J. Strutwolf, Biosensors Bioelectronics 50 (2013) 269-277.
  • Full publication list

    Download, Fortran 90/95, lærebog på dansk

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