 | 2011 |
| 22 |  | Leslaw K. Bieniasz:
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations.
Applied Mathematics and Computation 217(12): 5622-5631 (2011) |
| 2010 |
| 21 |  | 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 |
| 20 |  | Leslaw K. Bieniasz:
Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs.
Applied Mathematics and Computation 195(1): 196-219 (2008) |
| 19 |  | 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.
Applied Mathematics and Computation 198(2): 665-682 (2008) |
| 18 |  | 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) |
| 17 |  | Leslaw K. Bieniasz:
Initialisation of the adaptive Huber method for solving the first kind Abel integral equation.
Computing 83(4): 163-174 (2008) |
| 2007 |
| 16 |  | 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 |
| 15 |  | 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.
Journal of Computational Chemistry 25(12): 1515-1521 (2004) |
| 14 |  | Leslaw K. Bieniasz:
Improving the accuracy of the spatial discretization in finite-difference electrochemical kinetic simulations, by means of the extended Numerov method.
Journal of Computational Chemistry 25(8): 1075-1083 (2004) |
| 2003 |
| 13 |  | 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.
Computational Biology and Chemistry 27(3): 315-325 (2003) |
| 12 |  | Leslaw K. Bieniasz:
Erratum.
Computing 70(3): 275-275 (2003) |
| 2002 |
| 11 |  | Leslaw K. Bieniasz:
Use of the Numerov Method to Improve the Accuracy of the Spatial Discretisation in Finite-difference Electrochemical Kinetic Simulations.
Computers & Chemistry 26(6): 633-644 (2002) |
| 2001 |
| 10 |  | 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 |
| 9 |  | 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.
Computers & Chemistry 21(1): 1-12 (1997) |
| 8 |  | 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.
Computers & Chemistry 21(6): 391-401 (1997) |
| 1996 |
| 7 |  | Leslaw K. Bieniasz:
A Reaction Compiler for Electrochemical Kinetics.
Computers & Chemistry 20(4): 403-418 (1996) |
| 1995 |
| 6 |  | 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.
Computers & Chemistry 19(2): 121-135 (1995) |
| 5 |  | 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.
Computers & Chemistry 19(4): 351-355 (1995) |
| 4 |  | 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.
Computers & Chemistry 19(4): 357-370 (1995) |
| 1993 |
| 3 |  | 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.
Computers & Chemistry 17(4): 355-368 (1993) |
| 1992 |
| 2 |  | 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.
Computers & Chemistry 16(1): 11-14 (1992) |
| 1 |  | Leslaw K. Bieniasz:
An Efficient Numerical Method of Solving the Abel Integral Equation for Cyclic Voltammetry.
Computers & Chemistry 16(4): 311-317 (1992) |