L. Bieniasz

发表

A specialised cyclic reduction algorithm for linear algebraic equation systems with quasi-tridiagonal matrices

L. Bieniasz, 2017, Journal of Mathematical Chemistry.

Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations

L. Bieniasz, 2000 .

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

L. Bieniasz, 2001 .

Numerical Solution Methods

L. Bieniasz, 2015 .

Theory of Potential Step Chronoamperometry at a Microband Electrode: Complete Explicit Semi-Analytical Formulae for the Faradaic Current Density and the Faradaic Current

L. Bieniasz, 2015 .

A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry

B. Sleeman, S. McKee, L. Bieniasz, 2022, J. Comput. Appl. Math..

Use of sensitivity analysis methods in the modelling of electrochemical transients.: Part 2. Model expansion and model reduction

B. Speiser, L. Bieniasz, Stefan Dümmling, 1998 .

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

L. Bieniasz, 2000 .

Integral equation-based simulation of transient electroanalytical experiments at spherical electrodes, for the catalytic EC’ mechanism with DO≠DR

L. Bieniasz, 2019, Electrochimica Acta.

Highly accurate, efficient, and automatic computation of reversible cyclic voltammograms, using double exponential formulas for numerical integration

L. Bieniasz, 2018 .

A reliable automatic simulation of singular electroanalytical transients, by the adaptive Huber method for Volterra integral equations

L. Bieniasz, 2017 .

Automatic solution of integral equations describing electrochemical transients under conditions of internal cylindrical diffusion

L. Bieniasz, 2013 .

Automatic solution of the Singh and Dutt integral equations for channel or tubular electrodes, by the adaptive Huber method

L. Bieniasz, 2013 .

Automatic simulation of electrochemical transients assuming finite diffusion space at planar interfaces, by the adaptive Huber method for Volterra integral equations

L. Bieniasz, 2012 .

Automatic solution of integral equations pertinent to diffusion with first order homogeneous reactions at cylindrical wire electrodes

L. Bieniasz, 2012 .

Extension of the Adaptive Huber Method for Solving Integral Equations Occurring in Electroanalysis, onto Kernel Function Representing Fractional Diffusion

L. Bieniasz, 2011 .

Automatic simulation of electrochemical transients at cylindrical wire electrodes, by the adaptive Huber method for Volterra integral equations

L. Bieniasz, 2011 .

Automatic simulation of electrochemical transients by the adaptive Huber method for Volterra integral equations involving Kernel terms exp[−α(t − τ)]erex{[β(t − τ)]1/2} and exp[−α(t − τ)]daw {[β(t − τ)]1/2}

L. Bieniasz, 2012, Journal of Mathematical Chemistry.

Automatic simulation of cyclic voltammograms by the adaptive Huber method for weakly singular second kind Volterra integral equations

L. Bieniasz, 2010 .

Electrocatalysis at Modified Microelectrodes: A Theoretical Approach to Cyclic Voltammetry

Á. Molina, L. Bieniasz, E. Laborda, 2010 .

Automatic simulation of cyclic voltammograms by the adaptive Huber method for systems of weakly singular Volterra integral equations

L. Bieniasz, 2010 .

Theory of linear sweep/cyclic voltammetry for the electrochemical reaction mechanism involving a redox catalyst couple attached to a spherical electrode

Á. Molina, L. Bieniasz, E. Laborda, 2010 .

An efficient numerical method of solving integral equations for cyclic voltammetry

L. Bieniasz, 1993 .

Kinetics of the oxygen electrode reaction in molten Li + Na carbonate eutectic: Part 2. Theory of linear scan voltammetry and potential-step chronoamperometry for the reaction m O + n e− ⇌ q R initially at equilibrium

L. Bieniasz, 1991 .

Use of potential-step formulae to reduce computational time in the simulation of linear voltammetry by orthogonal collocation

L. Bieniasz, 1986 .

Linear voltammetric current functions for a pseudo-first-order EC catalytic reaction scheme with DO ≠ DR: Series expansion algorithm

L. Bieniasz, 1985 .

Influence of diffusion coefficient ratio DODR on potential-step chronoamperometric and linear voltammetric current at stationary planar electrodes in the case of a pseudo-first-order EC catalytic reaction scheme

L. Bieniasz, 1984 .

A New Theory of Potential Step Chronoamperometry at Hemispheroidal Electrodes: Complete Explicit Semi-Analytical Formulae for the Faradaic Current Density and the Faradaic Current

L. Bieniasz, 2017 .

Chronopotentiometry at a microband electrode: simulation study using a Rosenbrock time integration scheme for differential–algebraic equations and a direct sparse solver

D. Britz, L. Bieniasz, 2001 .

Theory of chronoamperometry for the catalytic EC′ mechanism at a band electrode: Highly accurate and efficient computation of the Faradaic currents

L. Bieniasz, 2019, Journal of Electroanalytical Chemistry.

Highly accurate, inexpensive procedures for computing theoretical chronoamperometric currents at single straight electrode edges and at single microband electrodes

L. Bieniasz, 2016 .

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

L. Bieniasz, 1996 .

Highly accurate and inexpensive procedures for computing chronoamperometric currents for the catalytic EC' reaction mechanism at an inlaid disk electrode

L. Bieniasz, 2019, Electrochimica Acta.

An adaptive multicut-HDMR map generation

Mateusz Baran, L. Bieniasz, 2016 .

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

L. Bieniasz, 2004 .

Recent Developments in Digital Simulation of Electroanalytical Experiments

D. Britz, L. Bieniasz, 2004 .

Models Involving Two- and Three-Dimensional Diffusion

L. Bieniasz, 2015 .

An O(h5k) accurate finite difference method for the numerical solution of fourth order two point boundary value problems on geometric meshes

L. Bieniasz, Navnit Jha, 2016 .

Simulation of cyclic voltammetry for the linked mechanism of the hydrogen electrode reaction in molten carbonates

L. Bieniasz, L. Suski, 1988 .

Catalytic ErevCrev′ mechanism at cylindrical wire electrodes: Theory of controlled-potential transients assuming DO = DR, and highly accurate computation of chronoamperograms and cyclic voltammograms

L. Bieniasz, 2021 .

A highly accurate, inexpensive procedure for computing theoretical chronoamperometric current at cylindrical wire electrodes

L. Bieniasz, 2011 .

Comments on the paper by M. Rudolph, entitled “Digital simulations on unequally spaced grids. Part 1. Critical remarks on using the point method by discretisation on a transformed grid”

L. Bieniasz, 2003 .

Models Involving Transport Coupled with Homogeneous Reactions

L. Bieniasz, 2015 .

Modelling Electroanalytical Experiments by the Integral Equation Method

L. Bieniasz, 2014 .

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..

Models Involving One-Dimensional Diffusion

L. Bieniasz, 2015 .

Integral equation-based simulation of transient experiments for an EC2

S. McKee, M. Vynnycky, L. Bieniasz, 2022, Electrochimica Acta.

Models Involving Additional Complications

L. Bieniasz, 2015 .

Use of sensitivity analysis methods in the modelling of electrochemical transients Part 1. Gaining more insight into the behaviour of kinetic models

Bernd Speiser, L. K. Bieniasz, B. Speiser, 1998 .

Kinetics of the oxygen electrode reaction in molten Li + Na carbonate eutectic: Part 3. Quantitative analysis of the linear scan voltammetric curves for the first reduction process at Au electrodes

P. Tomczyk, L. Bieniasz, 1991 .

Models Involving Distributed and Localised Species

L. Bieniasz, 2015 .

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 problems with reaction layers at the electrodes

Lesław K. Bieniasz, L. Bieniasz, 1994 .

Highly accurate, inexpensive procedures for computing chronoamperometric current, integral transformation kernel, and related integrals, for an inlaid disk electrode

L. Bieniasz, 2018 .

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..

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..

Basic Assumptions and Equations of Electroanalytical Models

L. Bieniasz, 2015 .

Theory and highly accurate computation of nonlimiting chronoamperometric currents for the ErevCirr reaction mechanism at cylindrical wire electrodes

L. Bieniasz, 2021 .

Chronoamperometry for reversible charge transfers at cylindrical wire electrodes: Theory for DO ≠ DR, and a highly accurate computation of the current

L. Bieniasz, 2020 .

Value of the exponential current-time perturbation for achieving stationary polarisation curves at planar and spherical electrodes of any size

Á. Molina, L. Bieniasz, Joaquín González, 2010 .

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

L. Bieniasz, 2011 .

The combined unidirectional and local coupling in a spatially one-dimensional model of oscillatory metal electrodissolution. Patch-adaptive simulation study

A. Karantonis, L. Bieniasz, S. Nakabayashi, 2003 .

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

L. Bieniasz, 2002 .

Finite-difference electrochemical kinetic simulations using the Rosenbrock time integration scheme

Lesław K. Bieniasz, L. Bieniasz, 1999 .

A reliable automatic simulation of singular transients by the adaptive Huber method: The case of homogeneous reactions at planar and spherical electrodes

L. Bieniasz, 2019, Electrochimica Acta.

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..

Automatic solution of integral equations describing electrochemical transients at dropping mercury electrodes

L. Bieniasz, 2013 .

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..

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..

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.

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.

Analytical Solution Methods

L. Bieniasz, 2015 .

Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations: Part 16: Patch-adaptive strategy combined with the extended Numerov spatial discretisation

Lesław K. Bieniasz, L. Bieniasz, 2007 .

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

L. Bieniasz, 2002 .

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

L. Bieniasz, 2002 .

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

L. K. Bieniasz, L. Bieniasz, 2002 .

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.

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

L. Bieniasz, 2000 .

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 kinetic models with moving reaction fronts, in one-dimensional space geometry

L. K. Bieniasz, L. Bieniasz, Christophe Bureau, 2000 .

The von Neumann stability of finite-difference algorithms for the electrochemical kinetic simulation of diffusion coupled with homogeneous reactions

L. Bieniasz, 1993 .

Corrigendum to: “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. 529 (2002) 51–58]

L. Bieniasz, 2004 .

A Reaction Compiler for Electrochemical Kinetics

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

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

L. Bieniasz, 1996 .

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..

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..

Utility of super-time-stepping for electroanalytical digital simulations by explicit finite difference methods. Part 2: Spatially two- and three-dimensional models

L. Bieniasz, D. Barnaś, 2018, Journal of Electroanalytical Chemistry.

A highly accurate, inexpensive procedure for computing integral transformation kernel and its moment integrals for cylindrical wire electrodes

L. Bieniasz, 2011 .

Analytical formulae for chronoamperometry of a charge neutralisation process under conditions of linear migration and diffusion

L. Bieniasz, 2002 .

Efficient and highly accurate calculation of chronoamperometric currents for the Crev<

L. Bieniasz, 2023, Electrochimica Acta.

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

L. Bieniasz, 1994 .

Models Involving One-Dimensional Convection-Diffusion

L. Bieniasz, 2015 .

A reaction-diffusion system arising from electrochemistry

M. Vynnycky, L. Bieniasz, S. Mckee, 2022, J. Comput. Appl. Math..

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

Bernd Speiser, L. K. Bieniasz, B. Speiser, 1998 .

A procedure for rapid and highly accurate computation of Marcus–Hush–Chidsey rate constants

L. Bieniasz, 2012 .

Models Independent of Spatial Coordinates

L. Bieniasz, 2015 .

A new theory and automatic computation of reversible cyclic voltammograms at an inlaid disk electrode

L. Bieniasz, 2018 .

A new theory, and automatic computation of reversible cyclic voltammograms at a microband electrode

L. Bieniasz, 2016 .

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, L. Bieniasz, 2003, Comput. Biol. Chem..

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

L. Bieniasz, 1996 .

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..

Analytical Expressions for the Steady-State Concentrations of Glucose, Oxygen and Gluconic Acid in a Composite Membrane for Closed-Loop Insulin Delivery

Lakshmanan Rajendran, L. Bieniasz, 2013, The Journal of Membrane Biology.

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

Lesław K. Bieniasz, L. Bieniasz, 1993 .

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..

A singularity correction procedure for digital simulation of potential-step chronoamperometric transients in one-dimensional homogeneous reaction–diffusion systems

Lesław K. Bieniasz, L. Bieniasz, 2005 .

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..

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..

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.

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..

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..

A fourth-order accurate, three-point compact approximation of the boundary gradient, for electrochemical kinetic simulations by the extended Numerov method

L. Bieniasz, 2007 .

SSE-based Thomas algorithm for quasi-block-tridiagonal linear equation systems, optimized for small dense blocks

L. Bieniasz, D. Barnaś, 2017 .

Accelerated Thomas Solver for (Quasi-)Block-Tridiagonal Linear Algebraic Equation Systems, Using SSE/AVX Instruction Sets for Vectorizing Dense Block Operations

Dawid Barnaś, Lesław K. Bieniasz, L. Bieniasz, 2016 .

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..

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

L. Bieniasz, Navnit Jha, Lesław K. Bieniasz, 2014, Journal of Scientific Computing.

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..

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..