Automatic simulation of electrochemical transients at cylindrical wire electrodes, by the adaptive Huber method for Volterra integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2011.09.010 ◽

2011 ◽

Vol 662 (2) ◽

pp. 371-378 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation ◽

Cylindrical Wire

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Automatic simulation of electrochemical transients by the adaptive Huber method for Volterra integral equations involving Kernel terms exp[−α(t − τ)]erex{[β(t − τ)]1/2} and exp[−α(t − τ)]daw {[β(t − τ)]1/2}

Journal of Mathematical Chemistry ◽

10.1007/s10910-011-9923-3 ◽

2011 ◽

Vol 50 (4) ◽

pp. 765-781 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation

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Automatic simulation of cyclic voltammograms by the adaptive Huber method for systems of weakly singular Volterra integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.02.029 ◽

2010 ◽

Vol 642 (2) ◽

pp. 127-134 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Cyclic Voltammograms ◽

Weakly Singular ◽

Huber Method ◽

Automatic Simulation

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Automatic simulation of cyclic voltammograms by the adaptive Huber method for weakly singular second kind Volterra integral equations

Electrochimica Acta ◽

10.1016/j.electacta.2009.09.022 ◽

2010 ◽

Vol 55 (3) ◽

pp. 721-728 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Cyclic Voltammograms ◽

Weakly Singular ◽

Huber Method ◽

Automatic Simulation

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Automatic simulation of electrochemical transients assuming finite diffusion space at planar interfaces, by the adaptive Huber method for Volterra integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2012.08.019 ◽

2012 ◽

Vol 684 ◽

pp. 20-31 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation

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A reliable automatic simulation of singular electroanalytical transients, by the adaptive Huber method for Volterra integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2017.05.027 ◽

2017 ◽

Vol 799 ◽

pp. 40-52 ◽

Author(s):

L.K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Huber Method ◽

Automatic Simulation

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An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.12.040 ◽

2011 ◽

Vol 217 (12) ◽

pp. 5622-5631 ◽

Author(s):

L.K. Bieniasz

Keyword(s):

Linear Systems ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular ◽

Huber Method ◽

Non Linear Systems

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Singular transients in the presence of homogeneous reactions at cylindrical wire electrodes: simulation by the adaptive Huber method for integral equations

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2022.116027 ◽

2022 ◽

pp. 116027

Author(s):

L.K. Bieniasz

Keyword(s):

Integral Equations ◽

Huber Method ◽

Homogeneous Reactions ◽

Cylindrical Wire

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An adaptive Huber method for weakly singular second kind Volterra integral equations with non-linear dependencies between unknowns and their integrals

Computing ◽

10.1007/s00607-009-0074-3 ◽

2009 ◽

Vol 87 (1-2) ◽

pp. 35-54 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular ◽

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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)]1/2} and exp [−α(t-τ)] daw {[β(t-τ)]1/2}

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2011-0391 ◽

2011 ◽

Vol 11 (5-6) ◽

pp. 323-338 ◽

Author(s):

Lesław K. Bieniasz

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Electroanalytical Chemistry ◽

Convolution Kernels ◽

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An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.018 ◽

2017 ◽

Vol 323 ◽

pp. 136-146 ◽

Author(s):

L.K. Bieniasz

Keyword(s):

Nonlinear Systems ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

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