Leslaw K. Bieniasz

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Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations

Leslaw K. Bieniasz, L. Bieniasz, 2002, Comput. Chem..

An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions

Leslaw K. Bieniasz, L. Bieniasz, 2017, J. Comput. Appl. Math..

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, L. Bieniasz, 2008, J. Comput. Methods Sci. Eng..

Improving the accuracy of the spatial discretization in finite‐difference electrochemical kinetic simulations, by means of the extended Numerov method

Leslaw K. Bieniasz, L. Bieniasz, 2004, J. Comput. Chem..

Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions

Mateusz Baran, Leslaw K. Bieniasz, Mateusz Baran, 2015, Appl. Math. Comput..

An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry

Leslaw K. Bieniasz, 1992, Comput. Chem..

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, L. Bieniasz, 2007, Computing.

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, L. Bieniasz, 1992, Comput. Chem..

An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations

Leslaw K. Bieniasz, L. Bieniasz, 2011, Appl. Math. Comput..

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, L. Bieniasz, 2004, J. Comput. Chem..

An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals

Leslaw K. Bieniasz, L. Bieniasz, 2010, Computing.

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, L. Bieniasz, 2008, Appl. Math. Comput..

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, L. Bieniasz, 1993, Comput. Chem..

A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes

Leslaw K. Bieniasz, Navnit Jha, L. Bieniasz, 2015, J. Sci. Comput..

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, L. Bieniasz, 2001, Computing.

Initialisation of the adaptive Huber method for solving the first kind Abel integral equation

Leslaw K. Bieniasz, L. Bieniasz, 2008, Computing.

An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations

Leslaw K. Bieniasz, L. Bieniasz, 2008, Computing.

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, L. Bieniasz, 2011, J. Comput. Methods Sci. Eng..

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

Ole Østerby, Leslaw K. Bieniasz, Dieter Britz, 1995, Comput. Chem..

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

Ole Østerby, Leslaw K. Bieniasz, Dieter Britz, 1995, Comput. Chem..

A Reaction Compiler for Electrochemical Kinetics

Leslaw K. Bieniasz, L. Bieniasz, 1996, Comput. Chem..

The Effect of the Discretization of the Mixed Boundary Conditions on the Numerical Stability of the Crank-Nicolson Algorithm of Electrochemical Kinetic Simulations

Ole Østerby, Leslaw K. Bieniasz, Dieter Britz, 1997, Comput. Chem..

Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs

Leslaw K. Bieniasz, L. Bieniasz, 2008, Appl. Math. Comput..

Numerical Stability of the Saul'yev Finite Difference Algorithms for Electrochemical Kinetic Simulations: Matrix Stability Analysis for an Example Problem Involving Mixed Boundary Conditions

Ole Østerby, Leslaw K. Bieniasz, Dieter Britz, 1995, Comput. Chem..

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, L. Bieniasz, 1997, Comput. Chem..