Research concentrates on electrochemical digital simulation; that is, the solution of Fick's diffusion equation, with the special boundary conditions given by the electrochemical context. Most 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.

We have provided accurate reference values of the current at the ultramicrodisk and ultramicroband electrodes (but now superseded by Bieniasz with far more accurate solutions). Past work includes simulation of the conical well electrode, the conical-tip electrode and accurate values of fluxes at cylindrical and capped cylindrical electrodes. An excursion outside electrochemistry dealt with the dynamics of thermal gas reactions. Publications have dealt with the optimisation of simulations of two-dimensional systems, comparing several transformations that have been suggested, investigating multi-point spatial derivative approximations, orthogonal collocation and the eigenvalue, -vector method. Some surprises were encountered in this work. Enzyme systems have been investigated, as were several ways to compute electric field effects, surface concentrations over a disk electrode, and the use of the Saul'yev method in two dimensions. There have been excursions into another field, simulating the kinetics of biochemical reactions important to diabetics. The behaviour of rectangular (including square) electrodes and arrays of square electrodes has been simulated, providing some steady state current values. In 2025, there was a collaboration of 15 authors on another biochemical paper, for which DB simulated the kinetics of a chain of reactions; the historical paper on the Sand equation and a Comment on a paper by Rajalakshmi et al on an enzyme reaction.

External collaborators

Dr. Jörg Strutwolf

Institute for Print and Media Technology, Chemnitz University of Technology, 09107 Chemnitz, Germany

The collaboration is in digital simulation and has been ongoing since 2000.

Dr. Leslaw Bieniasz

Faculty of Electrical and Computer Engineering, Cracow University of Technology.

Since about 1993 there has been fruitful collaboration in the field of digital simulation, especially on issues of numerical stability.

• Digital Simulation in Electrochemistry

  4th revised and extended edition, Heidelberg 2016
  Springer Verlag

• Fortran 90/95 bog på dansk

  kan downloades her
  



• Numerical Computation booklet.
  Download:

  • English
  
  
  • Dansk
  
  

  
  

  Publications for the last five years

• Comment on R. Rajalakshmi, S. Naganathan and L. Rajendran, ‘‘Transient analysis of reaction–diffusion dynamics in enzymatic biofuel cells of general geometry’’, in Electrochim. Acta 554 (2026) article number 148248.
  Dieter Britz, Jörg Strutwolf,
  in Electrochimica Acta 561 (2006) Article number 148705, 2 pp.




• Comments on A. Eswari and L. Rajendran, “Mathematical Modeling of Cyclic Voltammetry for EC Reaction” in Russ. J. Electrochem. 47 (2011) 195 and “Mathematical Modeling of Cyclic Voltammetry for EC2 Reaction”, in Russ. J. Electrochem. 47 (2011) 205.
  Dieter Britz, Jörg Strutwolf,
  Russ. J. Electrochem. 61(6) (2025) 239-242.




• History of the Sand equation in electrochemistry,
  D. Britz
  in Electroanal. Chem. 996 (2025) paper 119364.




• Reactivity-based metabolomics reveal cysteine has glyoxalase 1-like and glyoxalase 2-like activities M.D. Opfermann et many al incl. D. Britz, in Nature Chem. Biol. 21 (2025) 1397-1407




• Simulation of steady state limiting currents at arrays of square electrodes D. Britz, J. Strutwolf, O. Østerby, in Electrochim. Acta 462 (2023) 142728:1-5.




• Rectangular electrodes: Simulation of accurate steady state currents and the behaviour of square electrode arrays D. Britz, J. Strutwolf, O. Østerby, in Electrochim. Acta 404 (2022) 139750:1-7.

Full publication list