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ORCIDLeslaw K. Bieniasz
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Journal Articles
- 2023
[j30]Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky
:
A reaction-diffusion system arising from electrochemistry. J. Comput. Appl. Math. 423: 114961 (2023)- 2022
- [j29]Leslaw K. Bieniasz, Sean McKee, Brian D. Sleeman:
A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry. J. Comput. Appl. Math. 407: 114090 (2022) - 2021
- [j28]Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz:
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. SIAM J. Appl. Math. 81(1): 208-232 (2021) - 2017
- [j27]Leslaw K. Bieniasz:
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions. J. Comput. Appl. Math. 323: 136-146 (2017) - 2015
- [j26]Mateusz Baran, Leslaw K. Bieniasz:
Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions. Appl. Math. Comput. 258: 206-219 (2015) - [j25]Navnit Jha, Leslaw K. Bieniasz:
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. 64(3): 898-913 (2015) - 2011
- [j24]Leslaw K. Bieniasz:
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations. Appl. Math. Comput. 217(12): 5622-5631 (2011) - [j23]Leslaw K. Bieniasz:
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}. J. Comput. Methods Sci. Eng. 11(5-6): 323-338 (2011) - 2010
- [j22]Leslaw K. Bieniasz:
An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals. Computing 87(1-2): 35-54 (2010) - 2008
- [j21]Leslaw K. Bieniasz:
Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs. Appl. Math. Comput. 195(1): 196-219 (2008) - [j20]Leslaw K. Bieniasz:
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. 198(2): 665-682 (2008) - [j19]Leslaw K. Bieniasz:
An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations. Computing 83(1): 25-39 (2008) - [j18]Leslaw K. Bieniasz:
Initialisation of the adaptive Huber method for solving the first kind Abel integral equation. Computing 83(4): 163-174 (2008) - [j17]Leslaw K. Bieniasz:
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. 8(1-2): 3-18 (2008) - 2007
- [j16]Leslaw K. Bieniasz:
A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids. Computing 81(1): 77-89 (2007) - 2004
- [j15]Leslaw K. Bieniasz:
Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov method. J. Comput. Chem. 25(8): 1075-1083 (2004) - [j14]Leslaw K. Bieniasz:
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. 25(12): 1515-1521 (2004) - 2003
- [j13]Leslaw K. Bieniasz:
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. 27(3): 315-325 (2003) - [j12]Leslaw K. Bieniasz:
Erratum. Computing 70(3): 275 (2003) - 2002
- [j11]Leslaw K. Bieniasz:
Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations. Comput. Chem. 26(6): 633-644 (2002) - 2001
- [j10]Leslaw K. Bieniasz:
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 67(4): 269-285 (2001) - 1997
- [j9]Leslaw K. Bieniasz:
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. 21(1): 1-12 (1997) - [j8]Leslaw K. Bieniasz, Ole Østerby, Dieter Britz:
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. 21(6): 391-401 (1997) - 1996
- [j7]Leslaw K. Bieniasz:
A Reaction Compiler for Electrochemical Kinetics. Comput. Chem. 20(4): 403-418 (1996) - 1995
- [j6]Leslaw K. Bieniasz, Ole Østerby, Dieter Britz:
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. 19(2): 121-135 (1995) - [j5]Leslaw K. Bieniasz, Ole Østerby, Dieter Britz:
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. 19(4): 351-355 (1995) - [j4]Leslaw K. Bieniasz, Ole Østerby, Dieter Britz:
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. 19(4): 357-370 (1995) - 1993
- [j3]Leslaw K. Bieniasz:
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. 17(4): 355-368 (1993) - 1992
- [j2]Leslaw K. Bieniasz:
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. 16(1): 11-14 (1992) - [j1]Leslaw K. Bieniasz:
An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry. Comput. Chem. 16(4): 311-317 (1992)
Coauthor Index
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