Digital Simulation in Electrochemistry
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[1] S. Bruckenstein,et al. Ring-disc electrodes. Part 4.—Diffusion layer titration curves , 1966 .
[2] B. F. Oscillator. Large-Signal Analysis of a Silicon Read Diode Oscillator , 1969 .
[3] L. Whiting,et al. A simple, fast numerical method for the solution of a wide variety of electrochemical diffusion problems , 1977 .
[4] Chen Ya Liu. An Introduction to Fluid Mechanics and Heat Transfer , 1975 .
[5] A. R. Gourlay,et al. The Solution of a Two-dimensional Time-dependent Diffusion Problem Concerned with Oxygen Metabolism in Tissues , 1977 .
[6] A. R. Gourlay,et al. The construction of hopscotch methods for parabolic and elliptic equations in two space dimensions with a mixed derivative , 1977 .
[7] J. Gillis,et al. Matrix Iterative Analysis , 1961 .
[8] N. A. Hampson,et al. The tube electrode and e.s.r.: Second order kinetics , 1977 .
[9] I. Kolthoff,et al. A Study of Diffusion Processes by Electrolysis with Microelectrodes , 1939 .
[10] Donald G. Miller. CERTAIN TRANSPORT PROPERTIES OF BINARY ELECTROLYTE SOLUTIONS AND THEIR RELATION TO THE THERMODYNAMICS OF IRREVERSIBLE PROCESSES , 1960 .
[11] John A. Nelder,et al. A Simplex Method for Function Minimization , 1965, Comput. J..
[12] W. Vielstich,et al. Investigations of fast electrode processes by means of a micro-ring electrode in turbulent pipe flow , 1978 .
[13] M. Rubinoff,et al. Numerical solution of differential equations , 1954, AIEE-IRE '54 (Eastern).
[14] J. Randles,et al. A cathode ray polarograph. Part II.—The current-voltage curves , 1948 .
[15] Koichi Aoki,et al. Diffusion-controlled current at the stationary finite disk electrode: Theory , 1981 .
[16] George Veronis,et al. A simple finite-difference grid with non-constant intervals , 1970 .
[17] S. Müller,et al. Zur Rührabhängigkeit des Grenzstromes an teilweise bedeckten rotierenden Scheibenelektroden bei relativ grossen Umdrehungszahlen , 1969 .
[18] M. Kramer,et al. Sensitivity Analysis in Chemical Kinetics , 1983 .
[19] G. Dahlquist. A special stability problem for linear multistep methods , 1963 .
[20] John K. Reid,et al. Some Design Features of a Sparse Matrix Code , 1979, TOMS.
[21] A. R. Gourlay,et al. Hopscotch: a Fast Second-order Partial Differential Equation Solver , 1970 .
[22] Heinrich Gröber,et al. Die Grundgesetze der Wärmeübertragung , 1955 .
[23] R. D. Levie,et al. On some problems of diffusion towards a circular disk , 1979 .
[24] H. J. Hickman. The liquid junction potential — the free diffusion junction , 1970 .
[25] J. Flanagan,et al. Digital simulation of tubular electrode response in stationary and flowing solution , 1974 .
[26] A. Bard,et al. Resistive effects in thin electrochemical cells: Digital simulations of current and potential steps in thin layer electrochemical cells , 1972 .
[27] K. Aoki,et al. Hydrodynamic voltammetry at channel electrodes: Part I. Catalytic currents , 1977 .
[28] C. Dalton,et al. Errors in the use of nonuniform mesh systems , 1971 .
[29] O. Karlqvist. Numerical Solution of Elliptic Difference Equations by Matrix Methods , 1952 .
[30] W. J. Albery,et al. Ring-disc electrodes: Part 2. - Theoretical and experimental collection efficiencies , 1966 .
[31] J. Flanagan,et al. Digital simulation of edge effects at planar disk electrodes , 1973 .
[32] J. Newman. Resistance for Flow of Current to a Disk , 1966 .
[33] J. Gillis,et al. Mixed boundary value problems in potential theory , 1966 .
[34] T. Kármán. Über laminare und turbulente Reibung , 1921 .
[35] R. S. Nicholson,et al. Theory of Stationary Electrode Polarography. Single Scan and Cyclic Methods Applied to Reversible, Irreversible, and Kinetic Systems. , 1964 .
[36] L. Padmanabhan,et al. An improved semi-implicit runge-kutta method for stiff systems , 1971 .
[37] A. Huber. Eine Näherungsmethode zur Auflösung Volterrascher Integralgleichungen , 1939 .
[38] D. Britz,et al. On the electrochemical observation of a second-order decay of radicals generated by flash photolysis or pulse radiolysis , 1974 .
[39] H. Matsuda. Zur Theorie der Elektrolyse mit Zwei Eng Benachbarten Elektroden in Strömungsanordnungen. Allgemeine Formel für die Übertragungsausbeute , 1968 .
[40] David R. Kincaid,et al. Numerical mathematics and computing , 1980 .
[41] R. D. Richtmyer,et al. A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .
[42] L. Bass. Electrical structures of interfaces in steady electrolysis , 1964 .
[43] Richard S. Nicholson,et al. Some Examples of the Numerical Solution of Nonlinear Integral Equations , 1965 .
[44] Carl E. Pearson,et al. Impulsive end condition for diffusion equation , 1965 .
[45] C. Tranter,et al. Integral Transforms in Mathematical Physics , 1971 .
[46] J. Newman. Numerical Solution of Coupled, Ordinary Differential Equations , 1968 .
[47] E. Grabner,et al. Application of Digital Simulation to a Mass Transport Problem: Calculation of the Velocity of Flow at a Rotating Disk , 1976 .
[48] L. Petzold. A description of dassl: a differential/algebraic system solver , 1982 .
[49] P. Schmidt,et al. Global spline collocation in the simulation of electrochemical diffusion equations , 1980 .
[50] S. Yen,et al. Simulation of voltammetry by orthogonal collocation , 1982 .
[51] Donald E. Smith,et al. On the influence of electrode curvature and growth in d.c. and a.c. polarography: The e.e. mechanism with amalgam formation , 1974 .
[52] Coulometric diffusion layer titrations using the ring-disk electrode with amperometric end point detection [4] , 1964 .
[53] M. Kakihana,et al. Diffusion current at microdisk electrodes—application to accurate measurement of diffusion coefficients , 1981 .
[54] Erich Rothe,et al. Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben , 1930 .
[55] Donald G. Miller. Application of Irreversible Thermodynamics to Electrolyte Solutions. I. Determination of Ionic Transport Coefficients lij for Isothermal Vector Transport Processes in Binary Electrolyte Systems1,2 , 1966 .
[56] A. Bard,et al. Rotating Ring‐Disk Electrodes I . Fundamentals of the Digital Simulation Approach. Disk and Ring Transients and Collection Efficiencies , 1970 .
[57] T. Mizushina,et al. The Electrochemical Method in Transport Phenomena , 1971 .
[58] A. Ševčík,et al. Oscillographic polarography with periodical triangular voltage , 1948 .
[59] Stephen W. Feldberg,et al. Optimization of explicit finite-difference simulation of electrochemical phenomena utilizing an exponentially expanded space grid , 1981 .
[60] J. A. Harrison,et al. Polymerisation of an electroactive species at the rotating disc electrode , 1970 .
[61] C. E. Treanor,et al. A Method for the Numerical Integration of Coupled First-Order Differential Equations with Greatly Different Time Constants , 1966 .
[62] L. Rampazzo. Diffusion to a plane with adsorption according to frumkin's isotherm☆ , 1969 .
[63] Jürgen Heinze,et al. Theory of Cyclic Voltammetry at Microdisk Electrodes , 1981 .
[64] D. Hartree,et al. The calculation of variable heat flow in solids , 1946, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[65] J. Newman,et al. Potentials of cells with liquid junctions , 1968 .
[66] S. Feldberg. Improvements on computer simulation of electrochemical phenomena involving hydrodynamics: The rotating disk and the dropping mercury electrode* , 1980 .
[67] W. J. Albery. Ring-disc electrodes. Part 1.—A new approach to the theory , 1966 .
[68] H. H. Rachford,et al. The Numerical Solution of Parabolic and Elliptic Differential Equations , 1955 .
[69] Kenneth Wright,et al. Chebyshev Collocation Methods for Ordinary Differential Equations , 1964, Comput. J..
[70] Curtis F. Gerald,et al. APPLIED NUMERICAL ANALYSIS , 1972, The Mathematical Gazette.
[71] J. Crank,et al. The treatment of boundary singularities in axially symmetric problems containing discs , 1977 .
[72] A. Macgillivray,et al. Nernst‐Planck Equations and the Electroneutrality and Donnan Equilibrium Assumptions , 1968 .
[73] D. Hartree,et al. A method for the numerical or mechanical solution of certain types of partial differential equations , 1937 .
[74] Z. Soos,et al. Derivation of the Chronoamperometric Constant for Unshielded, Circular, Planar Electrodes1 , 1964 .
[75] K. F. Riley,et al. Mathematical methods for the physical sciences , 1975 .
[76] Zahari Zlatev,et al. Y12M - Solution of Large and Sparse Systems of Linear Algebraic Equations , 1981, Lecture Notes in Computer Science.
[77] K. Aoki,et al. Hydrodynamic voltammetry at channel electrodes: Part II. Theory of first-order kinetic collection efficiencies , 1977 .
[78] J. Villadsen,et al. Solution of differential equation models by polynomial approximation , 1978 .
[79] J. Yamada,et al. Limiting diffusion currents in hydrodynamic voltammetry: III. Wall jet electrodes , 1971 .
[80] T. Chapman,et al. Rapid Computation of Current Distribution by Orthogonal Collocation , 1976 .
[81] Yukio Saito,et al. A Theoretical Study on the Diffusion Current at the Stationary Electrodes of Circular and Narrow Band Types , 1968 .
[82] J. Klinger,et al. Procedures for computer simulation of kinetics of eletrochemical surface processes , 1978, Comput. Chem..
[83] J. Cooley,et al. THE NUMERICAL SOLUTION OF THE TIME-DEPENDENT NERNST-PLANCK EQUATIONS. , 1965, Biophysical journal.
[84] J. Savéant,et al. Linear sweep voltammetry. Effect of uncompensated cell resistance and double layer charging on polarization curves , 1970 .
[85] C. W. Gear,et al. The automatic integration of stiff ordinary differential equations , 1968, IFIP Congress.
[86] M. Kakihana,et al. Chronoamperometric measurement of diffusion coefficients with a microdisk electrode , 1980 .
[87] Tunc Geveci,et al. Advanced Calculus , 2014, Nature.
[88] J. Savéant,et al. ECE and disproportionation: Part VI. General resolution. Application to potential step chronoamperometry , 1979 .
[89] S. Pons,et al. Simulation of the dropping mercury electrode by orthogonal collocation , 1982 .
[90] John R. Rice,et al. Numerical methods, software, and analysis , 1983 .
[91] M. Pikal. Theory of the Onsager transport coefficients lij and Rij for electrolyte solutions , 1971 .
[92] Eugenia Kálnay de Rivas. On the use of nonuniform grids in finite-difference equations , 1972 .
[93] Richard P. Buck,et al. Numerical solution of the Nernst-Planck and poisson equation system with applications to membrane electrochemistry and solid state physics , 1978 .
[94] Katepalli R. Sreenivasan,et al. Laminarescent, relaminarizing and retransitional flows , 1982 .
[95] S. Feldberg,et al. The heterogeneous equivalent: A method for digital simulation of electrochemical systems with compact reaction layers , 1974 .
[96] J. L. Jackson. Charge neutrality in electrolytic solutions and the liquid junction potential , 1974 .
[97] 100% ir compensation by damped positive feedback , 1980 .
[98] P. Henrici. Discrete Variable Methods in Ordinary Differential Equations , 1962 .
[99] K. B. Oldham. An algorithm for semiintegration, semidifferentiation and other instances of differintegration , 1981 .
[100] R. Compton,et al. Tube electrode and electron spin resonance. First-order kinetics , 1980 .
[101] K. Tokuda,et al. Voltammetry at partially covered electrodes: Part II. Linear potential sweep and cyclic voltammetry , 1979 .
[102] M. J. Eddowes. Numerical methods for the solution of the rotating disc electrode system , 1983 .
[103] Lars Onsager,et al. Irreversible Processes in Electrolytes. Diffusion, Conductance and Viscous Flow in Arbitrary Mixtures of Strong Electrolytes , 1931 .
[104] K. Tokuda,et al. Voltammetry at partially covered electrodes: Part I. Chronopotentiometry and chronoamperometry at model electrodes , 1978 .
[105] S. Bruckenstein. Physicochemical hydrodynamics , 1977, Nature.
[106] J. Flanagan,et al. Reactant adsorption in differential pulse polarography , 1977 .
[107] I. Ruić. Digital simulation of very rapid chemical reactions coupled by electrode reaction , 1983 .
[108] D. Hafemann. Charge Separation in Liquid Junctions , 1965 .
[109] D. E. Goldman. POTENTIAL, IMPEDANCE, AND RECTIFICATION IN MEMBRANES , 1943, The Journal of general physiology.
[110] Garry J. Tee,et al. Integration of Equations of Parabolic Type by the Method of Nets , 1964 .
[111] S. Perone,et al. Electrochemical studies of rapid photolytic processes. Theoretical and experimental evaluation of potentiostatic analysis in flash photolyzed solutions , 1968 .
[112] J. Douglas,et al. A general formulation of alternating direction methods , 1964 .
[113] Y. Pao,et al. Time‐Dependent Viscous Incompressible Flow past a Finite Flat Plate , 1969 .
[114] G. B. Hawthorne. Digital Simulation and Modelling. , 1968 .
[115] Ernst Hairer,et al. On the Instability of the BDF Formulas , 1983 .
[116] M. Planck,et al. Ueber die Erregung von Electricität und Wärme in Electrolyten , 1890 .
[117] G. Liebmann. The solution of transient heat flow and heat transfer problems by relaxation , 1955 .
[118] George G. O'Brien,et al. A Study of the Numerical Solution of Partial Differential Equations , 1950 .
[119] R. Seeber,et al. Explicit finite difference method in simulating electrode processes , 1981 .
[120] Andrew R. Mitchell,et al. On the Instability of the Crank Nicholson Formula Under Derivative Boundary Conditions , 1966, Comput. J..
[121] P. Lorenz. THE ONSAGER COEFFICIENT L12 IN TRANSPORT OF BINARY ELECTROLYTES , 1961 .
[122] D. Pletcher,et al. The digital simulation of electrode processes. Procedures for conserving computer time , 1974 .
[123] R. Landsberg,et al. Zur bestimmung des blockierungsgrades an teilweise blockierten festelektroden , 1970 .
[124] M. v. Stackelberg. Elektrochemische Kinetik , 1962 .
[125] M. Levy,et al. Étude théorique d'une électrode tournante à double anneau: Partie I. Recherche du facteur d'efficacité par une méthode de simulation numérique , 1974 .
[126] Colin W. Cryer. On the instability of high order backward-difference multistep methods , 1972 .
[127] Graeme Fairweather,et al. A New Alternating Direction Method for Parabolic Equations in Three Space Variables , 1965 .
[128] A. Szabó,et al. Chronoamperometric current at finite disk electrodes , 1982 .
[129] H. Gerischer,et al. Elektrolyse im strömungskanal: Ein verfahren zur untersuchung von reaktions und zwischenprodukten , 1965 .
[130] R. Miller,et al. Numerische Lösung für ein gemischtes Modell der diffusions-kinetik-kontrollierten Adsorption , 1980 .
[131] C F Curtiss,et al. Integration of Stiff Equations. , 1952, Proceedings of the National Academy of Sciences of the United States of America.
[132] B. Lindberg. On smoothing and extrapolation for the trapezoidal rule , 1971 .
[133] Kenneth Levenberg. A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .
[134] K. Lunkenheimer,et al. Ein Modell für die diffusionskontrollierte Adsorption von Tensidgemischen an fluiden Phasengrenzen , 1979 .
[135] Donald G. Miller. THERMODYNAMICS OF IRREVERSIBLE PROCESSES: THE EXPERIMENTAL VERIFICATION OF THE ONSAGER RECIPROCAL RELATIONS , 1959 .
[136] B. Zeldin,et al. Laminar flows in inlet sections of tubes and ducts , 1969 .
[137] A. Bard,et al. Rotating Ring‐Disk Electrodes II . Digital Simulation of First and Second‐Order Following Chemical Reactions , 1970 .
[138] S. Frankel,et al. Stability conditions in the numerical treatment of parabolic differential equations , 1953 .
[139] D. P. Gregory,et al. 731. Transport to the surface of a rotating disc , 1956 .
[140] J. L. Gregg,et al. Heat transfer from a rotating disk to fluids of any prandtl number , 1959 .
[141] S. Pons,et al. Orthogonal collocation simulation of the rotating disc electrode , 1982 .
[142] L. Rosenhead. Conduction of Heat in Solids , 1947, Nature.
[143] P. J. Lingane. Chronopotentiometry and Chronoamperometry with Unshielded Planar Electrodes. , 1964 .
[144] A. R. Gourlay,et al. The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II , 1978 .
[145] S. Chandrasekhar. Stochastic problems in Physics and Astronomy , 1943 .
[146] J. D. Lawson. Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants , 1967 .
[147] S. Feldberg,et al. Model for Current Reversal Chronopotentiometry with Second-Order Kinetic Complications. , 1964 .
[148] G. Bontempelli,et al. A comparison of some recently developed procedures for digital simulation in electroanalytical research , 1983 .
[149] J. J. Douglas. Alternating direction methods for three space variables , 1962 .
[150] Z. Galus. Fundamentals of electrochemical analysis , 1976 .
[151] H. Weber. Ueber die Besselschen Functionen und ihre Anwendung auf die Theorie der elektrischen Ströme. , 1873 .
[152] J. Newman. Effect of Ionic Migration on Limiting Currents , 1966 .
[153] J. M. Watt. Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .
[154] Rolf Rannacher,et al. On the smoothing property of the crank-nicolson scheme , 1982 .
[155] A. Booth. Numerical Methods , 1957, Nature.
[156] Keith B. Oldham,et al. Edge effects in semiinfinite diffusion , 1981 .
[157] P. Henderson. Zur Thermodynamik der Flüssigkeitsketten , 1907 .
[158] Robert L. Lee,et al. Don''t suppress the wiggles|they''re telling you something! Computers and Fluids , 1981 .
[159] Roland W. Lewis,et al. A comparison of time marching schemes for the transient heat conduction equation , 1975 .
[160] D. Marquardt. An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .
[161] K. Tokuda,et al. Voltammetry at partially covered electrodes: Part III. Faradaic impedance measurements at model electrodes , 1979 .
[162] S. Müller,et al. Gesetzmässigkeit für den Diffusionsgrenzstrom an teilweise blockierten Modellelektroden , 1968 .
[163] Reinhard Miller. On the solution of diffusion controlled adsorption kinetics for any adsorption isotherms , 1981 .
[164] Jürgen Heinze,et al. Diffusion processes at finite (micro) disk electrodes solved by digital simulation , 1981 .
[165] A. J. Bellamy,et al. The use of linear sweep voltammetry to study the addition of electrogenerated –CH2CN to aromatic carbonyl compounds , 1978 .
[166] J. Savéant,et al. Charge transfer at partially blocked surfaces , 1983 .
[167] H. L. Stone. ITERATIVE SOLUTION OF IMPLICIT APPROXIMATIONS OF MULTIDIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS , 1968 .
[168] J. Savéant,et al. Disproportionation and ECE mechanisms—I. Theoretical analysis. Relationships for linear sweep voltammetry☆ , 1968 .
[169] S. Bruckenstein,et al. Ring-disc electrodes: Part 3. - Current-voltage curves at the ring electrode with simultaneous currents at the disc electrode , 1966 .
[170] A. R. Gourlay,et al. Linear Combinations of Generalized Crank Nicolson Schemes , 1981 .
[171] J. Newman. Current Distribution on a Rotating Disk below the Limiting Current , 1966 .
[172] C. Brett,et al. The wall-jet ring-disc electrode , 1983 .