ELSIM - A User-friendly PC Program for Electrochemical Kinetic Simulations. Version 1.0 - Solution of Integral Equations for Linear Scan and Cyclic Voltammetry. - Leslaw K. Bieniasz (Comput. Chem., 1992)

An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry. - Leslaw K. Bieniasz (Comput. Chem., 1992)

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, Orthogonal Collocation Methods. - Leslaw K. Bieniasz (Comput. Chem., 1993)

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. - Leslaw K. Bieniasz; Ole Østerby; Dieter Britz (Comput. Chem., 1995)

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. - Leslaw K. Bieniasz; Ole Østerby; Dieter Britz (Comput. Chem., 1995)

Numerical Stability of the Saul'yev Finite Difference Algorithms for Electrochemical Kinetic Simulations: Matrix Stability Analysis for an Example Problem Involving Mixed Boundary Conditions. - Leslaw K. Bieniasz; Ole Østerby; Dieter Britz (Comput. Chem., 1995)

A Reaction Compiler for Electrochemical Kinetics. - Leslaw K. Bieniasz (Comput. Chem., 1996)

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. - Leslaw K. Bieniasz (Comput. Chem., 1997)

The Effect of the Discretization of the Mixed Boundary Conditions on the Numerical Stability of the Crank-Nicolson Algorithm of Electrochemical Kinetic Simulations. - Leslaw K. Bieniasz; Ole Østerby; Dieter Britz (Comput. Chem., 1997)

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. - Leslaw K. Bieniasz (Computing, 2001)

Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations. - Leslaw K. Bieniasz (Comput. Chem., 2002)

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. - Leslaw K. Bieniasz (Comput. Biol. Chem., 2003)

Erratum. - Leslaw K. Bieniasz (Computing, 2003)

Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov method. - Leslaw K. Bieniasz (J. Comput. Chem., 2004)

A fourth-order accurate, Numerov-type, three-point finite-difference discretization of electrochemical reaction-diffusion equations on nonuniform (exponentially expanding) spatial grids in one-dimensional space geometry. - Leslaw K. Bieniasz (J. Comput. Chem., 2004)

A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids. - Leslaw K. Bieniasz (Computing, 2007)

Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs. - Leslaw K. Bieniasz (Appl. Math. Comput., 2008)

Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid h-refinement. - Leslaw K. Bieniasz (Appl. Math. Comput., 2008)

An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations. - Leslaw K. Bieniasz (Computing, 2008)

Initialisation of the adaptive Huber method for solving the first kind Abel integral equation. - Leslaw K. Bieniasz (Computing, 2008)

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. - Leslaw K. Bieniasz (J. Comput. Methods Sci. Eng., 2008)

An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals. - Leslaw K. Bieniasz (Computing, 2010)

An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations. - Leslaw K. Bieniasz (Appl. Math. Comput., 2011)

Extension of the adaptive Huber method for Volterra integral equations arising in electroanalytical chemistry, to convolution kernels exp [-α (t-τ)] erex {[β(t-τ)]1/2} and exp [-α(t-τ)] daw {[β(t-τ)]1/2}. - Leslaw K. Bieniasz (J. Comput. Methods Sci. Eng., 2011)

Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions. - Mateusz Baran; Leslaw K. Bieniasz (Appl. Math. Comput., 2015)

A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes. - Navnit Jha; Leslaw K. Bieniasz (J. Sci. Comput., 2015)

An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions. - Leslaw K. Bieniasz (J. Comput. Appl. Math., 2017)

A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. - Michael Vynnycky; Sean McKee; Leslaw K. Bieniasz (SIAM J. Appl. Math., 2021)

A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry. - Leslaw K. Bieniasz; Sean McKee; Brian D. Sleeman (J. Comput. Appl. Math., 2022)

A reaction-diffusion system arising from electrochemistry. - Leslaw K. Bieniasz; Sean McKee; Michael Vynnycky (J. Comput. Appl. Math., 2023)