Leslaw K. Bieniasz - researchr alias

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Viewing Publication 1 - 29 from 29

2023

A reaction-diffusion system arising from electrochemistryLeslaw K. Bieniasz, Sean McKee, Michael Vynnycky. jcam, 423:114961, 2023. [doi]

2022

A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistryLeslaw K. Bieniasz, Sean McKee, Brian D. Sleeman. jcam, 407:114090, 2022. [doi]

2017

An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutionsLeslaw K. Bieniasz. jcam, 323:136-146, 2017. [doi]

2015

Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functionsM. Baran, Leslaw K. Bieniasz. amc, 258:206-219, 2015. [doi]

A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric MeshesNavnit Jha, Leslaw K. Bieniasz. jscic, 64(3):898-913, 2015. [doi]

2011

An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equationsLeslaw K. Bieniasz. amc, 217(12):5622-5631, 2011. [doi]

1/2}Leslaw K. Bieniasz. jcmse, 11(5-6):323-338, 2011. [doi]

2010

An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integralsLeslaw K. Bieniasz. computing, 87(1-2):35-54, 2010. [doi]

2008

Initialisation of the adaptive Huber method for solving the first kind Abel integral equationLeslaw K. Bieniasz. computing, 83(4):163-174, 2008. [doi]

Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEsLeslaw K. Bieniasz. amc, 195(1):196-219, 2008. [doi]

An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equationsLeslaw K. Bieniasz. computing, 83(1):25-39, 2008. [doi]

Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid h-refinementLeslaw K. Bieniasz. amc, 198(2):665-682, 2008. [doi]

Two new compact finite-difference schemes for the solution of boundary value problems in second-order non-linear ordinary differential equations, using non-uniform gridsLeslaw K. Bieniasz. jcmse, 8(1-2):3-18, 2008. [doi]

2007

A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform gridsLeslaw K. Bieniasz. computing, 81(1):77-89, 2007. [doi]

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 geometryLeslaw K. Bieniasz. jcc, 25(12):1515-1521, 2004. [doi]

Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov methodLeslaw K. Bieniasz. jcc, 25(8):1075-1083, 2004. [doi]

2003

ErratumLeslaw K. Bieniasz. computing, 70(3):275-275, 2003. [doi]

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 geometryLeslaw K. Bieniasz. CANDC, 27(3):315-325, 2003. [doi]

2002

Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic SimulationsLeslaw K. Bieniasz. CANDC, 26(6):633-644, 2002. [doi]

2001

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 DimensionsLeslaw K. Bieniasz. computing, 67(4):269-285, 2001. [doi]

1997

The Effect of the Discretization of the Mixed Boundary Conditions on the Numerical Stability of the Crank-Nicolson Algorithm of Electrochemical Kinetic SimulationsLeslaw K. Bieniasz, Ole Østerby, Dieter Britz. CANDC, 21(6):391-401, 1997. [doi]

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 GeometryLeslaw K. Bieniasz. CANDC, 21(1):1-12, 1997. [doi]

1996

A Reaction Compiler for Electrochemical KineticsLeslaw K. Bieniasz. CANDC, 20(4):403-418, 1996. [doi]

1995

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 ConditionsLeslaw K. Bieniasz, Ole Østerby, Dieter Britz. CANDC, 19(2):121-135, 1995. [doi]

Numerical Stability of the Saul yev Finite Difference Algorithms for Electrochemical Kinetic Simulations: Matrix Stability Analysis for an Example Problem Involving Mixed Boundary ConditionsLeslaw K. Bieniasz, Ole Østerby, Dieter Britz. CANDC, 19(4):357-370, 1995. [doi]

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 ElectroLeslaw K. Bieniasz, Ole Østerby, Dieter Britz. CANDC, 19(4):351-355, 1995. [doi]

1993

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 MethodsLeslaw K. Bieniasz. CANDC, 17(4):355-368, 1993. [doi]

1992

An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic VoltammetryLeslaw K. Bieniasz. CANDC, 16(4):311-317, 1992. [doi]

ELSIM - A User-friendly PC Program for Electrochemical Kinetic Simulations. Version 1.0 - Solution of Integral Equations for Linear Scan and Cyclic VoltammetryLeslaw K. Bieniasz. CANDC, 16(1):11-14, 1992. [doi]

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