Leslaw K. Bieniasz
Scientific Publications

Book

L. K. Bieniasz
"Modelling of Electroanalytical Experiments by the Integral Equation Method".
Springer, Berlin, 2015.
For details please see the publisher page.

 

(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, Seattle, USA.
The Electrochemical Society, Seattle, Washington, 1999., Abstract No. 1000.

(A2) L. K. Bieniasz
" Computational Electrochemistry - A Challenge for the Electrochemical Community of the 21 st Century".
Abstracts of the 51 st Annual ISE Meeting, 3-8 September, 2000, Warsaw, Poland. (CD edition, contribution ID 350).

(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) Development of numerical methods and adaptive strategies for solving reaction-diffusion and electro-diffusion partial differential equations arising in electrochemistry, and related problems

(B1) 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.

(B2) 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.

(B3) 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.

(B4) 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.

(B5) 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.

(B6) 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.

(B7) 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.

(B8) 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.

(B9) L. K. Bieniasz
"Finite-Difference Electrochemical Kinetic Simulations Using the Rosenbrock Time Integration Scheme"
J. Electroanal. Chem., vol. 469 (1999) 97.

(B10) L. K. Bieniasz
"Use of Dynamically Adaptive Grid Techniques for the Solution of Electrochemical Kinetic Equations.
Part 5. A Finite-Difference, Adaptive Space/Time Grid Strategy Based on a Patch-Type
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).

(B11) 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).

(B12) 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).

(B13) L. K. Bieniasz
"Automatic Digital Simulation of Electroanalytical Experiments".
Abstracts of the 51 st Annual ISE Meeting, 3-8 September, 2000, Warsaw, Poland. (CD edition, contribution ID 671).

(B14) 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 ].

(B15) 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.

(B16) 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).

(B17) 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 ].

(B18) 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).

(B19) 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).

(B20) 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).

(B21) 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).

(B22) 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.

(B23) 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.

(B24) 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.

(B25) 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.

(B26) 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.

(B27) 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.

(B28) 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.

(B29) 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.

(B30) 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.

(B31) 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, Crete, Greece.
Lecture Series on Computer and Computational Sciences, Vol. 7A,  2006, p. 50.

(B32) 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.

(B33) 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.

(B34) 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. Eng., 8 (2008) 3.

(B35) 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.

(B36) 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.

(B37) 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.

(B38) L. K. Bieniasz
"A Highly Accurate, Inexpensive Procedure for Computing Theoretical
Chronoamperometric Current at Cylindrical Wire Electrodes"
Electrochim. Acta  56 (2011) 6982.

(B39) L. K. Bieniasz
"
A Procedure for Rapid and Highly Accurate Computation of Marcus-Hush-Chidsey Rate Constants"
J. Electroanal. Chem. 683 (2012) 112.

(B40) L. K. Bieniasz
"
Highly Accurate, Inexpensive Procedures for Computing Theoretical Chronoamperometric Currents
at Single Straight Electrode Edges and at Single Microband Electrodes"
J. Electroanal. Chem. 760 (2016) 71.

 

 

(C) Analysis of the numerical stability of finite-difference methods for solving diffusion and reaction-diffusion partial differential equations

(C1) 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.

(C2) 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.

(C3) 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.

(C4) 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.

(C5) 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.

 

(D) Development of numerical methods and adaptive strategies for solving integral equations arising in electrochemistry

(D1) L. K. Bieniasz
"An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry".
Comput. Chem., vol. 16 (1992) 311.

(D2) L. K. Bieniasz
"An Efficient Numerical Method of Solving Integral Equations for Cyclic Voltammetry".
J. Electroanal. Chem., vol. 347 (1993) 15.

(D3) 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.

(D4) L. K. Bieniasz
"Initialisation of the Adaptive Huber Method for Solving the First Kind Abel Integral Equations".
Computing, 83 (2008) 163.

(D5) 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.

(D6) 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

(D7) 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.

(D8) 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.

(D9) 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.

(D10) 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.

(D11) 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.

(D12) L. K. Bieniasz
"A Highly Accurate, Inexpensive Procedure for Computing Integral Transformation Kernel and
its Moment Integrals for Cylindrical Wire Electrodes"
J. Electroanal. Chem. 661 (2011) 280.

(D13) L. K. Bieniasz
"
Automatic Simulation of Electrochemical Transients at Cylindrical Wire Electrodes,
by the Adaptive Huber Method for Volterra Integral Equations"
J. Electroanal. Chem. 662 (2011) 371.

(D14) 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. Eng.  11 (2011) 323.

(D15) 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. 50 (2012) 765.

(D16) L. K. Bieniasz
"
Automatic Solution of Integral Equations Pertinent to Diffusion with
First Order Homogeneous Reactions at Cylindrical Wire Electrodes"
J. Electroanal. Chem. 674 (2012) 38.

(D17) L. K. Bieniasz
"
Automatic Simulation of Electrochemical Transients, Assuming Finite Diffusion Space
at Planar Interfaces, by the Adaptive Huber Method for Volterra Integral Equations"
J. Electroanal. Chem. 684 (2012) 20.

(D18) L. K. Bieniasz
"
Automatic Solution of the Singh and Dutt Integral Equations for Channel or Tubular Electrodes,
by the Adaptive Huber Method "
J. Electroanal. Chem. 693 (2013) 95.

(D19) L. K. Bieniasz
"
Automatic Solution of Integral Equations Describing Electrochemical Transients
under Conditions of Internal Spherical Diffusion "
J. Electroanal. Chem. 694 (2013) 104.

(D20) L. K. Bieniasz
"
Automatic Solution of Integral Equations Describing Electrochemical Transients
under Conditions of Internal Cylindrical Diffusion "
J. Electroanal. Chem. 700 (2013) 30.

(D21) L. K. Bieniasz
"
Automatic Solution of Integral Equations Describing Electrochemical Transients
at Dropping Mercury Electrodes"
J. Electroanal. Chem. 705 (2013) 44.

(D22) L. K. Bieniasz
"
A New Theory, and Automatic Computation of Reversible Cyclic Voltammograms at a Microband Electrode "
J. Electroanal. Chem. 767 (2016) 123.

(D23) L. K. Bieniasz
"
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions "
J. Comput. Appl. Math. 323 (2017) 136.

(D24) L. K. Bieniasz
"
A reliable automatic simulation of singular electroanalytical transients, by the adaptive Huber method for Volterra integral equations "
J. Electroanal. Chem. 799 (2017) 40.

 

 

(E) Development of computer-aided approaches to experimental data analysis in electrochemistry

(E1) 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.

(E2) 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.

(E3) 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.

(E4) 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, Seattle, USA.
The Electrochemical Society, Seattle, Washington, 1999., Abstract No. 1002.

(E5) L. K. Bieniasz and H. Rabitz
"High Dimensional Model Representation of Cyclic Voltammograms".
Anal. Chem., vol. 78 (2006) 1807.

(E6) 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.

(E7) 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, Crete, Greece.
Lecture Series on Computer and Computational Sciences, Vol. 7A,  2006, p. 54.

 

 

(F) Development of symbolic methods for electrochemical modelling

(F1) 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.

(F2) 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.

 

 

(G) Development of an universal Problem Solving Environment for the modelling of electro-analytical experiments

(G1) 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.

(G2) L. K. Bieniasz
"A Method Oriented Approach to the Formulation of Algorithms for Electrochemical Kinetic Simulations".
J. Electroanal. Chem., vol. 340 (1992) 19.

(G3) 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.

(G4) 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, Xiamen, China, 1995,
Extended Abstracts, vol. 1, abstract I-2-29.

(G5) 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.

(G6) L. K. Bieniasz
"A Reaction Compiler for Electrochemical Kinetics".
Comput. Chem., vol. 20 (1996) 403.

(G7) 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.

 

 

(H) Traditional theory of electro-analytical transient methods

(H1) 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.

(H2) 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).

(H3) 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.

(H4) 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.  

(H5) 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, Murcia, Spain]

(H6) 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, Murcia, Spain]

(H7) 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.

(H8) L. K. Bieniasz
"Theory of Potential Step Chronoamperometry at a Microband Electrode:
Complete Explicit Semi-Analytical Formulae for the Faradaic
Current Density and the Faradaic Current".
Electrochim. Acta., vol. 178 (2015) 25.

(H9) L. K. Bieniasz
"A New Theory of Potential Step Chronoamperometry at a Microdisk Electrode:
Complete Explicit Semi-Analytical Formulae for the Faradaic
Current Density and the Faradaic Current".
Electrochim. Acta., vol. 199 (2016) 1.

(H10) L. K. Bieniasz
"A New Theory of Potential Step Chronoamperometry at Hemispheroidal Electrodes:
Complete Explicit Semi-Analytical Formulae for the Faradaic
Current Density and the Faradaic Current".
J. Electroanal. Chem. vol. 784 (2017) 91.

 

 

(I) Studies of the kinetics of electro-catalytic hydrogen electrode reaction in molten carbonates

(I1) L. Suski, L. Bieniasz, A. Gil and J. Wyrwa
"Kinetics of Anodic Processes in Molten Carbonate Fuel Cell.
Part I. Voltammetry of Hydrogen on Pt Electrodes in Molten Carbonates + Solid Matrix Electrolytes".
Pol. J. Chem., vol. 56 (1982) 1465.

(I2) 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.

(I3) 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.

(I4) L. K. Bieniasz
"The Linked Mechanism of the Hydrogen Electrode Reaction in Molten Carbonates".
J. Electroanal. Chem., vol. 197 (1986) 387.

(I5) 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.

(I6) 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.

 

 

(J) Studies of the kinetics of electro-catalytic hydrogen electrode reaction in molten carbonates

(J1) 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.

(J2) P. Tomczyk and L. K. Bieniasz
"Kinetics of the Oxygen Electrode Reaction in Molten (Li / Na) Carbonate Eutectic.
Part III: Quantitative Analysis of the Linear Scan Voltammetric Curves for the First Reduction Process at Au Electrodes".
J. Electroanal. Chem., vol. 304 (1991) 111.

(J3) P. Tomczyk, L. Bieniasz and G. Mordarski
"Kinetics of the Oxygen Electrode Reaction at Golden Electrode in Molten (Li / Na) Carbonate Eutectic".
Molten Salt Chemistry and Technology, (Ed. M. Chemla and D. Deviliers),
Materials Science Forum, vol. 70-73, Trans. Tech. Publications, Switzerland-Germany-UK-USA, 1991, p. 617.

(J4) 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 NiO Electrodes".
J. Electroanal. Chem., vol. 353 (1993) 195.

 

 

(K) Simulation of pattern formation in electrochemical systems

(K1) A. Karantonis,  L. Bieniasz and S. Nakabayashi
"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.

 

 

(L) Other works, usually from the domain of computational science

(L1) L. Bieniasz, J. Moscinski, P. Nizegorodcew and Z. Rycerz
"Monte Carlo Simulation of the Emergency Shut-down System for the High-Temperature Pebble Bed Nuclear Reactor".
Ann. Nucl. Energy, vol. 10 (1983) 299.

(L2) L. Rajendran, L. K. Bieniasz
Analytical Expressions for the Steady-State Concentrations of Glucose, Oxygen and Gluconic Acid
in a Composite Membrane for Closed-Loop Insuline Delivery”
J. Membr. Biol., vol. 246 (2013) 121.    [please direct any queries about this paper to Prof. L. Rajendran, Madurai, India]

(L3) M. Baran, L. K. Bieniasz
"
Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions".
Appl. Math. Comput, vol. 258 (2015) 206.

(L4) N. Jha, L. K. Bieniasz
"A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of
Sixth Order Boundary Value Problems on Geometric Meshes ".
J. Sci. Comput, vol. 64 (2015) 893.   [please direct any queries about this paper to Prof. N. Jha, New Delhi, India]

(L5) M. Baran, L. K. Bieniasz
" An Adaptive Multicut-HDMR Map Generation ".
Amer. Inst. Phys. Conf. Proc., vol. 1738 (2016) 480055-1.

(L6) D. Barnaś, L. K. Bieniasz
"
Accelerated Thomas Solver for (Quasi-)Block-Tridiagonal Linear Algebraic Equation Systems,
Using SSE/AVX Instruction Sets for Vectorizing Dense Block Operations".
Intern. J. Comput. Meth., vol. 13 (2016) 
1750027.

(L7) N. Jha, L. K. Bieniasz
" An O(hk 5) Accurate Finite Difference Method for the Numerical Solution
of Fourth Order Two Point Boundary Value Problems on Geometric Meshes
".
Techn. Trans., vol. 1-NP (2016) 54-72   [please direct any queries about this paper to Prof. N. Jha, New Delhi, India]

(L8) L. K. Bieniasz
" A specialised cyclic reduction algorithm for linear algebraic equation systems with quasi-tridiagonal matrices ".
J. Math. Chem. (2017)  in press.

 

Last updated: 5th September,  2017.

 

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