Leslaw K. Bieniasz

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 6

Top Topics

Numerical Solution

Texture Synthesis

Cellular Automaton

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

SIAM J. Appl. Math.

J. Sci. Comput.

Publications

Leslaw K. Bieniasz, Sean McKee, Michael Vynnycky
A reaction-diffusion system arising from electrochemistry. J. Comput. Appl. Math. 423 (2023)
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 (2022)
Michael Vynnycky, Sean McKee, Leslaw K. Bieniasz
A NonLinear Transient Reaction-Diffusion Problem from Electroanalytical Chemistry. SIAM J. Appl. Math. 81 (1) (2021)
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 (2017)
Mateusz Baran, Leslaw K. Bieniasz
Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions. Appl. Math. Comput. 258 (2015)
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) (2015)
Leslaw K. Bieniasz
}. J. Comput. Methods Sci. Eng. 11 (5-6) (2011)
Leslaw K. Bieniasz
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations. Appl. Math. Comput. 217 (12) (2011)
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) (2010)
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) (2008)
Leslaw K. Bieniasz
Initialisation of the adaptive Huber method for solving the first kind Abel integral equation. Computing 83 (4) (2008)
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) (2008)
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) (2008)
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) (2008)
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) (2007)
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) (2004)
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) (2004)
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) (2003)
Leslaw K. Bieniasz
Erratum. Computing 70 (3) (2003)
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) (2002)
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) (2001)
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) (1997)
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) (1997)
Leslaw K. Bieniasz
A Reaction Compiler for Electrochemical Kinetics. Comput. Chem. 20 (4) (1996)
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) (1995)
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) (1995)
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) (1995)
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) (1993)
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) (1992)
Leslaw K. Bieniasz
An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry. Comput. Chem. 16 (4) (1992)