Implicit digital simulation

Many advances in digital simulation have taken place since the publication of the first edition. Some of these advances have occurred in hardware through the development of the personal computer. Others have taken place by the development of commercial software that will perform specific simulations or will create a computer environment (e.g., a spreadsheet) that will allow one to do simulations without having to write a computer program. Finally, there have been theoretical advances where newer implicit algorithms are used to solve the necessary partial differential equations more efficiently than is possible using the more intuitive explicit methods described herein. 

Rudolph, M. (1991) A fast implicit finite difference algorithm for the digital simulation of electrochemical processes, JJElectroanal.Chem. 314, 13-22. 

Rudolph M (1995) Digital simulations with the fast implicit finite difference algorithm - the development of a general simulator for electrochemical processes. In Rubinstein I (ed) Physical electrochemistry. Principles, methods, and applications. Marcel Dekker, New York, pp 81-129... 

Britz D, Heinze J, Mortensen J, Storzbach M (1988) Implicit calculation of boundary values in digital simulation, applied to several electrochemical experimental types. J Electroanal Chem 240 27. 

Heinze J, Storzbach M, Mortensen J (1984) Digital simulation of cyclic voltammetric curves by the implicit Crank-Nicolson technique. 

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