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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