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Barnaś D, Bieniasz L. Utility of super-time-stepping for electroanalytical digital simulations by explicit finite difference methods. Part 1: Spatially one-dimensional models. J Electroanal Chem (Lausanne) 2018. [DOI: 10.1016/j.jelechem.2018.03.006] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Gerbino L, Baruzzi AM, Iglesias RA. Catalytic EC′ reaction at a thin film modified electrode. Electrochim Acta 2013. [DOI: 10.1016/j.electacta.2012.10.043] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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3
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Martínez-Ortiz F, Molina A, Laborda E. Electrochemical digital simulation with highly expanding grid four point discretization: Can Crank–Nicolson uncouple diffusion and homogeneous chemical reactions? Electrochim Acta 2011. [DOI: 10.1016/j.electacta.2011.04.043] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Fang H, Chen HY. A strategy to improve the accuracy of digital simulation for electroanalytical chemistry. CHINESE J CHEM 2010. [DOI: 10.1002/cjoc.19970150309] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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A study on mutual interaction between atomistic and macroscopic phenomena during electrochemical processes using coupled finite difference – kinetic Monte Carlo model: Application to potential step test in simple copper sulfate bath. J Electroanal Chem (Lausanne) 2006. [DOI: 10.1016/j.jelechem.2006.01.002] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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6
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Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. J Electroanal Chem (Lausanne) 2002. [DOI: 10.1016/s0022-0728(02)00941-5] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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7
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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]
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Strutwolf J, Williams DE. Digital Simulation of Two-Dimensional Mass Transfer Problems in Electrochemistry Using the Extrapolation Method. ELECTROANAL 1999. [DOI: 10.1002/(sici)1521-4109(199906)11:7<487::aid-elan487>3.0.co;2-k] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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9
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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]
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Johannsen K, Britz D. Matrix stability of the backward differentiation formula in electrochemical digital simulation. ACTA ACUST UNITED AC 1999. [DOI: 10.1016/s0097-8485(98)00021-7] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Britz D. Stability of the backward differentiation formula (FIRM) applied to electrochemical digital simulation. ACTA ACUST UNITED AC 1997. [DOI: 10.1016/s0097-8485(96)00020-4] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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12
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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]
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Kontturi AK, Kontturi K, Murtomäki L, Schiffrin DJ. A new simple voltammetric analysis of the kinetics of homogeneous reactions following the EC mechanism: oxidation of Cu(I) by hydrogen peroxide. J Electroanal Chem (Lausanne) 1996. [DOI: 10.1016/s0022-0728(96)04774-2] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Feldberg SW, Goldstein CI, Rudolph M. A stability criterion for accurate simulation of electrochemical diffusion-kinetic phenomena at the rotating disk electrode and implications for simulation of diffusion-migration and other problems. J Electroanal Chem (Lausanne) 1996. [DOI: 10.1016/0022-0728(96)04625-6] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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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]
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16
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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]
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17
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Feldberg SW, Goldstein CI. Examination of the behavior of the fully implicit finite-difference algorithm with the Richtmyer modification: behavior with an exponentially expanding time grid. J Electroanal Chem (Lausanne) 1995. [DOI: 10.1016/0022-0728(95)04161-1] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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18
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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]
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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]
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Britz D, Østerby O. Some numerical investigations of the stability of electrochemical digital simulation, particularly as affected by first-order homogeneous reactions. J Electroanal Chem (Lausanne) 1994. [DOI: 10.1016/0022-0728(93)03085-4] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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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]
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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]
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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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