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For: Bieniasz LK. A method-oriented approach to the formulation of algorithms for electrochemical kinetic simulations. J Electroanal Chem (Lausanne) 1992;340:19-34. [DOI: 10.1016/0022-0728(92)80286-d] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Number Cited by Other Article(s)
1
Bieniasz L. Finite-difference electrochemical kinetic simulations using the Rosenbrock time integration scheme. J Electroanal Chem (Lausanne) 1999. [DOI: 10.1016/s0022-0728(99)00181-3] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
2
On the influence of RRC and RSC dimerizations on the shape of semi-integrated voltammograms: a mixed asymptotic and numerical analysis. Electrochim Acta 1999. [DOI: 10.1016/s0013-4686(99)00061-4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
3
Bieniasz LK. 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. ACTA ACUST UNITED AC 1997. [DOI: 10.1016/s0097-8485(96)00016-2] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
4
The effect of the discretization of the mixed boundary conditions on the numerical stability of the Crank-Nicolson algorithm of electrochemical kinetic simulations. ACTA ACUST UNITED AC 1997. [DOI: 10.1016/s0097-8485(97)00033-8] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
5
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. J Electroanal Chem (Lausanne) 1996. [DOI: 10.1016/0022-0728(95)04366-7] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
6
Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions. ACTA ACUST UNITED AC 1995. [DOI: 10.1016/0097-8485(95)00047-v] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
7
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. ACTA ACUST UNITED AC 1995. [DOI: 10.1016/0097-8485(94)00054-i] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
8
Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. J Electroanal Chem (Lausanne) 1994. [DOI: 10.1016/0022-0728(94)87126-4] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
9
Bieniasz LK. Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. J Electroanal Chem (Lausanne) 1994. [DOI: 10.1016/0022-0728(94)03347-1] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
10
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 and orthogonal collocation methods. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0097-8485(93)85015-5] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
11
Bieniasz LK. Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. J Electroanal Chem (Lausanne) 1993. [DOI: 10.1016/0022-0728(93)87008-j] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
12
Electrochemical kinetic simulations of mixed diffusion/homogeneous reaction problems by the Saul'yev finite difference algorithms. Anal Chim Acta 1993. [DOI: 10.1016/0003-2670(93)80085-y] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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