Leslaw K. Bieniasz
Orcid: 0000-0002-3937-2050
According to our database1,
Leslaw K. Bieniasz
authored at least 30 papers
between 1992 and 2023.
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Bibliography
2023
J. Comput. Appl. Math., 2023
2022
A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry.
J. Comput. Appl. Math., 2022
2021
SIAM J. Appl. Math., 2021
2017
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions.
J. Comput. Appl. Math., 2017
2015
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., 2015
Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions.
Appl. Math. Comput., 2015
2011
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)]<sup>1/2</sup>} and exp [-α(t-τ)] daw {[β(t-τ)]<sup>1/2</sup>}.
J. Comput. Methods Sci. Eng., 2011
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations.
Appl. Math. Comput., 2011
2010
An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals.
Computing, 2010
2008
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., 2008
Initialisation of the adaptive Huber method for solving the first kind Abel integral equation.
Computing, 2008
An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations.
Computing, 2008
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., 2008
Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs.
Appl. Math. Comput., 2008
2007
A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids.
Computing, 2007
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 geometry.
J. Comput. Chem., 2004
Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov method.
J. Comput. Chem., 2004
2003
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., 2003
2002
Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations.
Comput. Chem., 2002
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 Dimensions.
Computing, 2001
1997
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., 1997
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., 1997
1996
1995
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., 1995
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., 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 Conditions.
Comput. Chem., 1995
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 Methods.
Comput. Chem., 1993
1992
An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry.
Comput. Chem., 1992
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., 1992