Leslaw K. Bieniasz
Scientific Publications
(A) General Discussions of Computational Electrochemistry
(A1) L. K. Bieniasz
"Computational Electrochemistry - An Emerging Branch of Electrochemical
Science".
Meeting Abstracts of the 195 th
Meeting of the Electrochemical Society, Inc., May 2-6, 1999,
The Electrochemical Society,
(A2) L. K. Bieniasz
" Computational Electrochemistry - A
Challenge for the Electrochemical Community of the
Abstracts of the
(A3) L. K. Bieniasz
"Towards Computational Electrochemistry - a Kineticist's
Perspective"
in: B. E. Conway and R. E. White (Eds.), Modern Aspects of Electrochemistry,
vol. 35,
Kluwer Academic / Plenum Publishers, New York, 2002,
pp. 135-195.
(A4) L. K. Bieniasz and D. Britz
"Recent Developments in Digital Simulation of Electroanalytical
Experiments (Review)"
Pol. J. Chem., vol. 78 (2004) 1195.
(A5) L. K. Bieniasz
"A Unifying View of Computational Electrochemistry"
in: Computational Methods in Science and Engineering. Theory and Computation:
Old Problems and New Challenges.
Lectures Presented at the International Conference on Computational Methods in
Science and Engineering 2007
(ICCMSE 2007): Vol. 1. AIP Conference Proceedings, Vol. 963, 2007, pp. 481-486.
(B) Traditional theory of electroanalytical
transient methods
(B1) L. Bieniasz
"Influence of Diffusion Coefficient Ratio DO /DR on Potential-step Chronoamperometric and
Linear Voltammetric Current at Stationary Planar
Electrodes in the Case of a Pseudo-first-order EC Catalytic Reaction
Scheme".
J. Electroanal. Chem., vol. 170
(1984) 77.
(B2) L. Bieniasz
"Solution of the Kinetic Equations for the Electrochemical Reaction
Coupled with the Chemical Catalytic Reaction".
Materials of the V-th Conference of the Socialistic Countries on the Chemistry
of Molten Salts.
Kijev, Naukova Dumka, 1984, p. 6 (in Russian).
(B3) L. K. Bieniasz
"Linear Voltammetric Current Functions for a
Pseudo-first-order EC Catalytic Reaction Scheme with
DO != DR : Series Expansion Algorithm".
J. Electroanal. Chem., vol. 188
(1985) 13.
(B4) L. K. Bieniasz
"Analytical Formulae for Chronoamperometry of
a Charge Neutralisation Process under
Conditions of Linear Migration and
Diffusion".
Electrochem. Commun. , vol. 4 (2002) 917.
(B5) Á. Molina,
J. González, E. Laborda,
F. Martínez-Ortiz, L. K. Bieniasz
"Electrocatalysis at Modified
Microelectrodes: A Theoretical Approach to Cyclic Voltammetry”.
J. Phys. Chem. C, vol. 114 (2010) 14542. [please direct any
queries about this paper to Prof. A. Molina,
(B6) Á. Molina,
J. González, C. M. Soto,
L. K. Bieniasz
"Value of the Exponential Current-Time Perturbation for Achieving
Stationary
Polarisation Curves at Planar and Spherical
Electrodes of Any Size”.
Electrochim. Acta, 55 (2010) 9010. [please direct any
queries about this paper to Prof. A. Molina,
(B7) L. K. Bieniasz, J. González,
Á. Molina, E. Laborda
"Theory of Linear Sweep / Cyclic
Voltammetry for the Electrochemical Reaction
Mechanism
Involving a Redox Catalyst Couple Attached to a
Spherical Electrode”.
Electrochim. Acta, vol. 56 (2010) 543.
(C) Development of various modelling methods
and strategies for electrochemical kinetics
(C1) L. K. Bieniasz
"Use of the Potential-Step Formulae to Reduce Computational Time in the
Simulation of
Linear Voltammetry
by Orthogonal Collocation".
J. Electroanal. Chem., vol. 208
(1986) 165.
(C2) L. K. Bieniasz
"An Efficient Numerical Method of Solving the Abel Integral Equation
for Cyclic Voltammetry".
Comput.
Chem., vol. 16 (1992) 311.
(C3) L. K. Bieniasz
"An Efficient Numerical Method of Solving Integral Equations for Cyclic
Voltammetry".
J. Electroanal. Chem., vol. 347
(1993) 15.
(C4) L.
K. Bieniasz and D. Britz
"Electrochemical Kinetic Simulations of Mixed Diffusion / Homogeneous
Reaction Problems
by the Saul’yev Finite Difference Algorithms".
Anal. Chim. Acta, vol. 278 (1993) 59.
(C5) L.
K. Bieniasz and D. Britz
"Efficiency of Electrochemical Kinetic Simulations by Orthogonal
Collocation and Finite Difference Methods - a Comparison".
Acta Chem.
Scand., vol. 47 (1993) 757.
(C6) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 1. Introductory
Exploration of the Finite Difference Adaptive Moving Grid Solution of the
One-dimensional, Fast Homogeneous Reaction-Diffusion Problem with a
Reaction Layer".
J. Electroanal. Chem., vol. 360
(1993) 119.
(C7) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 2. An Improved Finite
Difference Adaptive Moving Grid Technique for One-dimensional,
Fast Homogeneous Reaction-Diffusion Problem with Reaction Layers at the
Electrodes".
J. Electroanal. Chem., vol. 374
(1994) 1.
(C8) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of Electrochemical
Kinetic Equations.
Part 3. An Adaptive Moving
Grid / Adaptive Time Step Strategy for Problems with Discontinuous Boundary
Conditions at the Electrodes".
J. Electroanal. Chem., vol. 374
(1994) 23.
(C9) L.
K. Bieniasz and D. Britz
"Efficiency of Electrochemical Kinetic Simulations by Orthogonal
Collocation and Finite Difference Methods
- a Comparison. Responses to the Comments by
B. Speiser".
Acta Chem.
Scand., vol. 48 (1994) 609.
(C10) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 4. The Adaptive
Moving Grid Solution of One-dimensional, Fast Homogeneous Reaction-Diffusion
Problems with Extremely Thin Reaction Zones Away from the
Electrodes".
J. Electroanal. Chem., vol. 379
(1994) 71.
(C11) L.
K. Bieniasz and B. Speiser
"Use of Sensitivity Analysis Methods in the Modelling
of Electrochemical Transients.
Part 1. Gaining more
Insight into the Behaviour of Kinetic Models".
J. Electroanal. Chem., vol. 441
(1998) 271.
(C12) L. K. Bieniasz, S. Du"mmling, B. Speiser and M. Wu"rde
"Use of Sensitivity Analysis Methods in the Modelling
of Electrochemical Transients.
Part 2. Model Expansion
and Model Reduction".
J. Electroanal. Chem., vol. 447
(1998) 173.
(C13) L.
K. Bieniasz and B. Speiser
"Use of Sensitivity Analysis Methods in the Modelling
of Electrochemical Transients.
Part 3. Statistical
Error/Uncertainty Propagation in Simulation and in Nonlinear Least-Squares
Parameter Estimation"
J. Electroanal. Chem.,
vol. 458 (1998) 209.
(C14) L.
K. Bieniasz
"Sensitivity Analysis of Electrochemical Responses-Principles and
Advantages of the
Methodology".
Meeting Abstracts of the 195 th
Meeting of the Electrochemical Society, Inc., May 2-6, 1999,
The Electrochemical Society,
(C15) L.
K. Bieniasz
"Finite-Difference Electrochemical Kinetic Simulations Using the Rosenbrock Time Integration Scheme"
J. Electroanal. Chem., vol.
469 (1999) 97.
(C16) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part
Local Uniform Spatial Grid Refinement, for Kinetic Models in One-Dimensional
Space Geometry".
J. Electroanal. Chem., vol.
481 (2000) 115 and vol. 565 (2004) 131 (corrigendum).
(C17) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 6. Testing of the Finite-Difference,
Patch-Adaptive Strategy on Example Models with
Solution Difficulties at the Electrodes, in One-Dimensional Space
Geometry".
J. Electroanal. Chem., vol.
481 (2000) 134 and vol. 565 (2004) 133 (corrigendum).
(C18) L.
K. Bieniasz and C. Bureau
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 7. Testing of the Finite-Difference,
Patch-Adaptive Strategy on Example Models with
Moving Reaction Fronts, in One-Dimensional Space Geometry".
J. Electroanal. Chem., vol.
481 (2000) 152 and vol. 565 (2004) 135 (corrigendum).
(C19) L. K. Bieniasz
"Automatic Digital Simulation of Electroanalytical
Experiments".
Abstracts of the
(C20) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Patch-adaptive Simulation of Moving Fronts in Non-Linear
Diffusion Models of the Switching of Conductive Polymers".
Electrochem. Commun.,
vol. 3 (2001) 149. [ should be regarded
as Part 8 of the series ].
(C21) L. K. Bieniasz and D. Britz
"Chronopotentiometry at a Microband
Electrode: Simulation Study Using a Rosenbrock Time
Integration Scheme
for Differential-Algebraic Equations, and a Direct Sparse Solver"
J. Electroanal. Chem., vol.
503 (2001) 141.
(C22) L. K. Bieniasz
"Extension of the Thomas Algorithm to a Class of Algebraic Linear
Equation Systems Involving Quasi-Block-Tridiagonal
Matrices
with Isolated Block-Pentadiagonal Rows, Assuming
Variable Block Dimensions"
Computing, vol. 67 (2001) 269 and vol. 70 (2003) 275 (erratum).
(C23) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Advantage of Time Step Adaptation, Using Example of
Current Spikes in Linear Potential Sweep
Voltammograms for the EqrevEqrev-DISP
Reaction Mechanism".
Electrochem. Commun.,
vol. 4 (2002) 5. [ should be regarded as
Part 9 of the series ].
(C24) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 10. Extension of the
Patch-Adaptive Strategy to Kinetic Models Involving Spatially Localised Unknowns at the Boundaries,
Multiple Space Intervals, and Non-Local Boundary Conditions, in
One-Dimensional Space Geometry"
J. Electroanal. Chem., vol.
527 (2002) 1 and vol. 565 (2004) 137 (corrigendum).
(C25) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 11. Patch_Adaptive
Simulation of Example Transient Experiments Described by Kinetic Models
Involving Simultaneously
Distributed and Localised Unknowns, in One-Dimensional
Space Geometry"
J. Electroanal. Chem., vol.
527 (2002) 11 and vol. 565 (2004) 139 (corrigendum).
(C26) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 12. Patch-Adaptive
Simulation of Example Transient Experiments Described by Kinetic Models Defined
Over Multiple
Space Intervals in One-Dimensional Space Geometry"
J. Electroanal. Chem., vol.
527 (2002) 21 and vol. 565 (2004) 141 (corrigendum).
(C27) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 13. Patch-Adaptive
Simulation of Wave Propagation Along Ring Electrodes. One-Dimensional Approximation"
J. Electroanal. Chem., vol. 529 (2002) 51 and vol. 565 (2004) 143
(corrigendum).
(C28) L.
K. Bieniasz
"Use of the Numerov Method to Improve the
Accuracy of the Spatial Discretisation in
Finite-Difference Electrochemical Kinetic Simulations"
Comput. Chem., vol.
26 (2002) 633.
(C29) L. K. Bieniasz
"High-Order Accurate One Sided Finite-Difference Approximations to
Concentration Gradients at the Boundaries,
for the Simulation of Electrochemical Reaction-Diffusion Problems in
One-Dimensional Space Geometry".
Comput.
Biol. Chem., vol. 27 (2003) 315.
(C30) L. K. Bieniasz
"Comments on the paper by M. Rudolph, entitled "Digital
Simulations on Unequally Spaced Grids. Part 1.
Critical Remarks on Using the Point Methods by Discretisation on a Transformed Grid" [J. Electroanal. Chem. 529
(2002) 97]"
J. Electroanal. Chem., vol. 558 (2003) 167.
(C31) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 14. Extension of the Patch-Adaptive
Strategy to Time-Dependent Models Involving Migration-Diffusion Transport
in One-Dimensional Space Geometry, and its Application to Example Transient Experiments Described by
Nernst-Planck-Poisson Equations".
J. Electroanal. Chem., vol. 565
(2004) 251.
(C32) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 15. Patch-Adaptive
Simulation of Example Transient
Experiments Described by Nernst-Planck-Electroneutrality
Equations
in One-Dimensional Space Geometry".
J. Electroanal. Chem., vol.
565 (2004) 273.
(C33) L.
K. Bieniasz
"Improving the Accuracy of the Spatial Discretisation
in Finite-Difference Electrochemical Kinetic Simulations,
by Means of the Extended Numerov Method".
J. Comput. Chem., vol.
25 (2004) 1075.
(C34) L. K. Bieniasz
"A Fourth-Order Accurate, Numerov-Type,
Three-Point Finite-Difference Discretisation of
Electrochemical Reaction-Diffusion Equations on Non-Uniform (Exponentially
Expanding)
Spatial Grids in One-Dimensional Space Geometry".
J. Comput. Chem., vol.
25 (2004) 1515.
(C35) L. K. Bieniasz
"A Singularity Correction Procedure for Digital Simulation of
Potential-Step
Chronoamperometric Transients in One-Dimensional Homogeneous Reaction-Diffusion
Systems".
Electrochim. Acta,
vol. 50 (2005) 3253.
(C36) L.
K. Bieniasz and H. Rabitz
"High Dimensional Model Representation of Cyclic Voltammograms".
Anal. Chem., vol. 78 (2006) 1807.
(C37) L. K. Bieniasz
"A Fourth-Order Accurate, Three-Point Compact Approximation of the
Boundary Gradient, for
Electrochemical Kinetic Simulations by the Extended Numerov
Method".
Electrochim. Acta, vol. 52 (2007) 2203.
(C38) L. K. Bieniasz and H. Rabitz
"Extraction of Parameters and their Error Distributions from Cyclic Voltammograms Using Bootstrap
Re-sampling Enhanced by Solution Maps: A Computational Study".
Anal. Chem., vol. 78 (2006) 8430.
(C39) L. K. Bieniasz
"Development of an Adaptive Finite-Difference Strategy for the Automatic
Simulation of
Transient Experiments in Electrochemical Kinetics".
In: T. Simos and G. Maroulis
(Eds.), Recent Progress in Computational Sciences and Engineering,
Proceedings of the International Conference of Computational Methods in
Sciences and Engineering
(ICCMSE) 2006, Chania,
Lecture Series on Computer and Computational Sciences, Vol. 7A, 2006, p. 50.
(C40) L.
K. Bieniasz and H. Rabitz
"A Solution Mapping Technique for the Rapid Computation of Theoretical
Cyclic Voltammograms
for Experimental Data Analysis in Electrochemical Kinetics".
In: T. Simos and G. Maroulis
(Eds.), Recent Progress in Computational Sciences and Engineering,
Proceedings of the International Conference of Computational Methods in
Sciences and Engineering
(ICCMSE) 2006, Chania,
Lecture Series on Computer and Computational Sciences, Vol. 7A, 2006, p. 54.
(C41) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of
Electrochemical Kinetic Equations.
Part 16. Patch-Adaptive Strategy
Combined with the Extended Numerov Spatial Discretization".
Electrochim. Acta, vol. 52 (2007) 3929.
(C42) L. K. Bieniasz
"A Set of Compact Finite-Difference Approximations to First and Second
Derivatives, Related to the
Extended Numerov Method of Chawla
on Non-Uniform Grids".
Computing, 81 (2007) 77.
(C43) L. K. Bieniasz
"Two New Compact Finite-Difference Schemes for the Solution of Boundary
Value Problems in
Second-Order Non-linear Ordinary Differential Equations, Using Non-uniform
Grids".
J. Comput. Meth. Sci.
(C44) L. K. Bieniasz
"Experiments with a Local Adaptive Grid h-Refinement for the
Finite-Difference Solution of
BVPs in Singularly Perturbed Second-Order ODEs".
Appl. Math. Comput., 195
(2008) 196.
(C45) L.
K. Bieniasz
"Adaptive Solution of BVPs in Singularly
Perturbed Second-Order ODEs, by the Extended Numerov Method
Combined with an Iterative Local Grid h-Refinement".
Appl. Math. Comput., 198
(2008) 665.
(C46) L. K. Bieniasz
"An Adaptive Huber Method with Local Error Control, for the Numerical
Solution of the First
Kind Abel Integral Equations".
Computing, 83 (2008) 25.
(C47) L. K. Bieniasz
"Initialisation of the Adaptive Huber Method
for Solving the First Kind Abel Integral Equations".
Computing, 83 (2008) 163.
(C48) L. K. Bieniasz
"Cyclic Voltammetric Current Functions
Determined with a Prescribed Accuracy
by the Adaptive Huber Method for Abel Integral Equations".
Anal. Chem., 80 (2008)
9659.
(C49) L. K. Bieniasz
"Development of Adaptive Methods for Reaction-Diffusion and other
Transport Problems Arising in Electrochemistry",
in Proceedings of the KomPlasTech 2009
Conference, Krynica-Zdrój, January 11-14, 2009,
Comput. Meth. Material Sci., 9 (2009)
296.
(C50) L. K. Bieniasz
"An Adaptive Huber Method for Weakly Singular Second Kind Volterra Integral Equations
with Non-linear
Dependencies Between Unknowns and their Integrals".
Computing, 87 (2010) 35
(C51) L. K. Bieniasz
"Automatic Simulation of Cyclic Voltammograms
by the Adaptive Huber Method for Weakly
Singular
Second Kind Volterra Integral Equations".
Electrochim. Acta 55
(2010) 721.
(C52) L. K. Bieniasz
"An Adaptive Huber Method for Non-Linear Systems of Weakly Singular
Second Kind Volterra Integral Equations".
Appl. Math. Comput. 217 (2011) 5622.
(C53) L. K. Bieniasz
"Automatic Simulation of Cyclic Voltammograms
by the Adaptive Huber Method for Systems of Weakly Singular
Volterra
Integral Equations".
J. Electroanal. Chem.
642 (2010) 127.
(C54) L. K. Bieniasz
"Analysis of the Applicability of the Integral
Equation Method in the Theory of Transient Electroanalytical
Experiments for Homogeneous Reaction-Diffusion Systems. The Case of Planar Electrodes".
J. Electroanal. Chem.
657 (2011) 91.
(C55) L. K. Bieniasz
"Extension of the Adaptive Huber Method for Solving Integral Equations
Occurring in
Electro-Analysis onto Kernel Function
Representing Fractional Diffusion".
Electroanalysis 23 (2011) 1506.
(C56) L.
K. Bieniasz
"A Highly Accurate, Inexpensive Procedure for Computing Theoretical
Chronoamperometric Current at Cylindrical
Wire Electrodes"
Electrochim. Acta 56 (2011) 6982.
(C57) L.
K. Bieniasz
"A Highly Accurate, Inexpensive Procedure for Computing Integral
Transformation Kernel and
its Moment Integrals for Cylindrical Wire Electrodes"
J. Electroanal. Chem. , in press.
(C58) L. K. Bieniasz
"Extension of the Adaptive Huber Method for Volterra
Integral Equations Arising in Electroanalytical
Chemistry, to Convolution Kernels exp[-a(t-t)]erex{[b(t-t)]1/2} and exp[-a(t-t)]daw{[b(t-t)]1/2}"
J. Comput. Meth. Sci.
(C59) L.
K. Bieniasz
"Automatic Simulation of Electrochemical
Transients at Cylindrical Wire Electrodes,
by the Adaptive Huber Method for Volterra
Integral Equations"
J. Electroanal. Chem. , in press.
(C60) L. K. Bieniasz
"Automatic Simulation of Electrochemical
Transients by the Adaptive Huber Method
for Volterra Integral Equations Involving Kernel Terms
exp[-a(t-t)]erex{[b(t-t)]1/2} and exp[-a(t-t)]daw{[b(t-t)]1/2}"
J. Math. Chem. , in press.
(D) Investigations of the numerical stability of simulation methods used
in electrochemistry
(D1) L. K. Bieniasz
"The von Neumann Stability of Finite Difference Algorithms for the Electrochemical
Kinetic Simulation
of Diffusion Coupled with Homogeneous Reactions".
J. Electroanal. Chem., vol. 345
(1993) 13.
(D2) L. K. Bieniasz, O. Řsterby and D. Britz
"Numerical Stability of Finite Difference Algorithms for
Electrochemical Kinetic Simulations:
Matrix Stability Analysis of the Classic Explicit, Fully Implicit and
Crank-Nicolson Methods
and Typical Problems Involving Mixed Boundary Conditions".
Comput.
Chem., vol. 19 (1995) 121.
(D3) L. K. Bieniasz, O. Řsterby and D. Britz
"Numerical Stability of the Saul'yev Finite
Difference Algorithms for Electrochemical Kinetic Simulations:
Matrix Stability Analysis of an Example Problem Involving Mixed Boundary
Conditions".
Comput.
Chem., vol. 19 (1995) 357.
(D4) L. K. Bieniasz, O. Řsterby and D. Britz
"Numerical Stability of Finite Difference Algorithms for
Electrochemical Kinetic Simulations:
Matrix Stability Analysis of the Classic Explicit, Fully Implicit and
Crank-Nicolson Methods Extended to
the 3- and 4- point Gradient Approximation at the Electrodes".
Comput.
Chem., vol. 19 (1995) 351.
(D5) L.
K. Bieniasz, O. Řsterby and
D. Britz
"The Effect of the Discretization of the
Mixed Boundary Conditions on the Numerical Stability of the
Crank-Nicolson Algorithm of Electrochemical Kinetic Simulations ".
Comput.
Chem., vol. 21 (1997) 391.
(E) Development of a universal Problem Solving Environment for the modelling of electrochemical transients
(E1) L. K. Bieniasz
"ELSIM - A User-friendly PC Program for Electrochemical Kinetic Simulations.
Version 1.0 - Solution of Integral Equations for Linear Scan and Cyclic Voltammetry".
Comput.
Chem., vol. 16 (1992) 11.
(E2) L. K. Bieniasz
"A Method Oriented Approach to the Formulation of Algorithms for
Electrochemical Kinetic Simulations".
J. Electroanal. Chem., vol. 340
(1992) 19.
(E3) L. K. Bieniasz
"ELSIM - A PC Program for Electrochemical Kinetic Simulations
Version 2.0 -Solution of the Sets of Kinetic Partial Differential Equations
in One-dimensional Geometry,
Using Finite Difference and Orthogonal Collocation Methods".
Comput.
Chem., vol. 17 (1993) 355.
(E4) L. K. Bieniasz
"Design Issues of ELSIM - A Programming Problem Solving Environment for
Electrochemical Kinetic Simulations, and Related Research".
International Society of Electrochemistry, 46 th Annual Meeting,
Extended Abstracts, vol. 1, abstract I-2-29.
(E5) L. K. Bieniasz
"A Method Oriented Approach to the Formulation of Algorithms for
Electrochemical Kinetic Simulations.
Part 2. Extension to kinetic problems
characterized by the simultaneous presence of bulk and interfacial
species".
J. Electroanal. Chem., vol. 404
(1996) 195.
(E6) L. K. Bieniasz
"Automatic Derivation of the Governing Equations that Describe a
Transient Electrochemical Experiment,
Given a Reaction Mechanism of Arbitrary Complexity.
Part 1. Problem Parameters
and Initial Conditions".
J. Electroanal. Chem., vol. 406
(1996) 33.
(E7) L. K. Bieniasz
"Automatic Derivation of the Governing Equations that Describe a
Transient Electrochemical Experiment,
Given a Reaction Mechanism of Arbitrary Complexity.
Part 2. Governing
Equations in One-dimensional Geometry".
J. Electroanal. Chem., vol. 406
(1996) 45.
(E8) L. K. Bieniasz
"A Reaction Compiler for Electrochemical Kinetics".
Comput.
Chem., vol. 20 (1996) 403.
(E9) L. K. Bieniasz
"ELSIM - A Problem Solving Environment for Electrochemical Kinetic
Simulations.
Version 3.0 - Solution of Governing Equations Associated with Interfacial
Species,
Independent of Spatial Coordinates or in
One-Dimensional Space Geometry".
Comput.
Chem., vol. 21(1997) 1.
(F) Modelling of electrochemical oscillators /
pattern formation phenomena
(F1) A. Karantonis, L. Bieniasz and
"The Combined Unidirectional and Local Coupling in a Spatially
One-Dimensional Model of Oscillatory Metal Electrodissolution.
Patch-Adaptive Simulation Study"
Phys. Chem. Chem. Phys., vol. 5 (2003) 1831.
(G) Studies of the kinetics of the hydrogen electrode in molten
carbonates
(G1) L. Suski,
L. Bieniasz, A. Gil and J. Wyrwa
"Kinetics of Anodic Processes in Molten Carbonate Fuel Cell.
Pol. J. Chem., vol. 56 (1982) 1465.
(G2) L. Bieniasz
and L. Suski
"Kinetics of Anodic Processes in Molten Carbonate Fuel Cell.
Part II. Equations for Non-stationary Diffusion Controlled Second Order
Electrochemical Process:
Red+A = Ox1 +Ox2 +ne".
Pol. J. Chem., vol. 57 (1983) 161.
(G3) L. K. Bieniasz
"The Potential-Step Method Theory for a Linked Mechanism Involving an
Adsorption Step, a Charge-Transfer Step
and Diffusion in the Case of Very Low Coverages of
the Intermediate".
J. Electroanal. Chem., vol. 195
(1985) 419.
(G4) L. K. Bieniasz
"The Linked Mechanism of the Hydrogen Electrode Reaction in Molten
Carbonates".
J. Electroanal. Chem., vol. 197
(1986) 387.
(G5) L. Bieniasz
and L. Suski
"Simulation of Cyclic Voltammetry for the
Linked Mechanism of the Hydrogen Electrode Reaction in Molten Carbonates".
J. Electroanal. Chem., vol. 249
(1988) 155.
(G6) L. Bieniasz
"Computer Simulation of the Hydrogen Electrode Kinetics in Molten
Carbonates, for the Linked Mechanism (Adsorption-Activation)".
Materials of the IX th
Symposium of Electrochemical Section of Polish Chemical Society - Karniowice near Cracow-June 1-3,
1987,
Ed. Pawel Nowak, Drukarnia Narodowa w Krakowie, Kraków 1988, p. 89.
(H) Studies of the kinetics of the oxygen electrode reaction in molten
carbonates
(H1) L. K. Bieniasz
"Kinetics of the Oxygen Electrode Reaction in Molten (Li / Na)
Carbonate Eutectic.
Part II: Theory of Linear Scan Voltammetry and
Potential Step Chronoamperometry for the Reaction mO + ne = qR Initially at Equilibrium".
J. Electroanal. Chem., vol. 304
(1991) 101.
(H2) P. Tomczyk
and L. K. Bieniasz
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Carbonate Eutectic.
Part III: Quantitative Analysis of the Linear Scan Voltammetric
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(H3) P. Tomczyk,
L. Bieniasz and G. Mordarski
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Molten Salt Chemistry and Technology, (Ed. M. Chemla
and D. Deviliers),
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(H4) L. K. Bieniasz and P. Tomczyk
"Kinetics of the Oxygen Electrode Reaction in Molten (Li / Na)
Carbonate Eutectic.
Part VI: Quantitative Analysis of the Linear Scan Voltammetric
Curves for the First Reduction Process at Monocrystalline
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(I) Other
(I1) L. Bieniasz,
J. Moscinski, P. Nizegorodcew
and Z. Rycerz
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High-Temperature Pebble Bed Nuclear Reactor".
Ann. Nucl. Energy, vol. 10 (1983)
299.
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