Leslaw K. Bieniasz

30 papers Journal 30
YearRankTypeTitle / Venue / Authors
2023 J jnl
A reaction-diffusion system arising from electrochemistry.
J. Comput. Appl. Math.
Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky
2022 J jnl
A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry.
J. Comput. Appl. Math.
Leslaw K. Bieniasz, Sean McKee, Brian D. Sleeman
2021 J jnl
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry.
SIAM J. Appl. Math.
Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz
2017 J jnl
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions.
J. Comput. Appl. Math.
Leslaw K. Bieniasz
2015 J jnl
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.
Navnit Jha, Leslaw K. Bieniasz
2015 J jnl
Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions.
Appl. Math. Comput.
Mateusz Baran, Leslaw K. Bieniasz
2011 J jnl
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations.
Appl. Math. Comput.
Leslaw K. Bieniasz
2011 J jnl
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)]
J. Comput. Methods Sci. Eng.
Leslaw K. Bieniasz
2010 J jnl
An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals.
Computing
Leslaw K. Bieniasz
2008 J jnl
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.
Leslaw K. Bieniasz
2008 J jnl
An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations.
Computing
Leslaw K. Bieniasz
2008 J jnl
Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs.
Appl. Math. Comput.
Leslaw K. Bieniasz
2008 J jnl
Initialisation of the adaptive Huber method for solving the first kind Abel integral equation.
Computing
Leslaw K. Bieniasz
2008 J jnl
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. Methods Sci. Eng.
Leslaw K. Bieniasz
2007 J jnl
A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids.
Computing
Leslaw K. Bieniasz
2004 J jnl
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.
J. Comput. Chem.
Leslaw K. Bieniasz
2004 J jnl
Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov method.
J. Comput. Chem.
Leslaw K. Bieniasz
2003 J jnl
Erratum.
Computing
Leslaw K. Bieniasz
2003 J jnl
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.
Leslaw K. Bieniasz
2002 J jnl
Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations.
Comput. Chem.
Leslaw K. Bieniasz
2001 J jnl
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
Leslaw K. Bieniasz
1997 J jnl
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.
Leslaw K. Bieniasz
1997 J jnl
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.
Leslaw K. Bieniasz, Ole Østerby, Dieter Britz
1996 J jnl
A Reaction Compiler for Electrochemical Kinetics.
Comput. Chem.
Leslaw K. Bieniasz
1995 J jnl
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.
Leslaw K. Bieniasz, Ole Østerby, Dieter Britz
1995 J jnl
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.
Leslaw K. Bieniasz, Ole Østerby, Dieter Britz
1995 J jnl
Numerical Stability of the Saul'yev Finite Difference Algorithms for Electrochemical Kinetic Simulations: Matrix Stability Analysis for an Example Problem Involving Mixed Boundary Conditions.
Comput. Chem.
Leslaw K. Bieniasz, Ole Østerby, Dieter Britz
1993 J jnl
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.
Comput. Chem.
Leslaw K. Bieniasz
1992 J jnl
An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry.
Comput. Chem.
Leslaw K. Bieniasz
1992 J jnl
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.
Leslaw K. Bieniasz