FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2058089453> ?p ?o ?g. }

• W2058089453 endingPage "115" @default.
• W2058089453 startingPage "97" @default.
• W2058089453 abstract "Temporal integration based on multistep backward differentiation formulae may not be the best choice for finite-difference electrochemical kinetic simulations. A one-step, highly accurate, unconditionally stable and non-oscillatory implicit time scheme that also provides temporal error estimates, would be more desirable. The Lawson–Morris–Gourlay extrapolation (LMGE) method, suggested by Strutwolf and Schoeller, partially satisfies these requirements, but it is computationally rather expensive, especially for nonlinear governing equations. The Rosenbrock method, thus far unused in electrochemical simulations, is shown here to be competitive. By combining a three-stage ROWDA3 Rosenbrock method for differential–algebraic equations (DAEs), with a finite-difference spatial discretization of the governing equations, an effective simulation algorithm can be obtained. This is demonstrated for three example kinetic models represented by a single reaction–diffusion equation in one space dimension: potential step experiment, linear sweep voltammetry for a first- and second-order irreversible heterogeneous charge transfer, and linear sweep voltammetry for an enzymatic catalytic reaction mechanism. Numerical properties of the algorithm are compared in calculations with those of the finite-difference methods based on first- and second-order backward differentiation formulae, the Crank–Nicolson (CN) method, and the second-order LMGE method. Fixed, uniform grids are used. Under conditions of a large temporal-to-spatial grid step ratio, important for electrochemical simulations, the third-order accurate ROWDA3 integration proves more efficient than the second-order extrapolation method. In one case it is also more efficient than the method based on the second-order (two-step) backward differentiation formula." @default.
• W2058089453 created "2016-06-24" @default.
• W2058089453 creator A5011127615 @default.
• W2058089453 date "1999-07-01" @default.
• W2058089453 modified "2023-09-30" @default.
• W2058089453 title "Finite-difference electrochemical kinetic simulations using the Rosenbrock time integration scheme" @default.
• W2058089453 cites W103322099 @default.
• W2058089453 cites W115699066 @default.
• W2058089453 cites W1481563812 @default.
• W2058089453 cites W1487893212 @default.
• W2058089453 cites W1515525975 @default.
• W2058089453 cites W1585788360 @default.
• W2058089453 cites W1592991017 @default.
• W2058089453 cites W1601025205 @default.
• W2058089453 cites W1963572184 @default.
• W2058089453 cites W1969875725 @default.
• W2058089453 cites W1976172429 @default.
• W2058089453 cites W1976313973 @default.
• W2058089453 cites W1977087017 @default.
• W2058089453 cites W1977747049 @default.
• W2058089453 cites W1980782128 @default.
• W2058089453 cites W1981068439 @default.
• W2058089453 cites W1984081117 @default.
• W2058089453 cites W1984776194 @default.
• W2058089453 cites W1984929416 @default.
• W2058089453 cites W1987963033 @default.
• W2058089453 cites W1988438829 @default.
• W2058089453 cites W1990264568 @default.
• W2058089453 cites W1990274573 @default.
• W2058089453 cites W1990880230 @default.
• W2058089453 cites W1991424184 @default.
• W2058089453 cites W1994609663 @default.
• W2058089453 cites W1996609509 @default.
• W2058089453 cites W2002447843 @default.
• W2058089453 cites W2003147761 @default.
• W2058089453 cites W2003269515 @default.
• W2058089453 cites W2003628939 @default.
• W2058089453 cites W2004168614 @default.
• W2058089453 cites W2007724454 @default.
• W2058089453 cites W2010059449 @default.
• W2058089453 cites W2014823019 @default.
• W2058089453 cites W2016898164 @default.
• W2058089453 cites W2018356291 @default.
• W2058089453 cites W2026880525 @default.
• W2058089453 cites W2027170487 @default.
• W2058089453 cites W2031045189 @default.
• W2058089453 cites W2031907294 @default.
• W2058089453 cites W2035987650 @default.
• W2058089453 cites W2038050248 @default.
• W2058089453 cites W2041444276 @default.
• W2058089453 cites W2042355428 @default.
• W2058089453 cites W2045352055 @default.
• W2058089453 cites W2047019026 @default.
• W2058089453 cites W2054508342 @default.
• W2058089453 cites W2055490230 @default.
• W2058089453 cites W2059330316 @default.
• W2058089453 cites W2062304966 @default.
• W2058089453 cites W2063173852 @default.
• W2058089453 cites W2066021858 @default.
• W2058089453 cites W2068582366 @default.
• W2058089453 cites W2073933504 @default.
• W2058089453 cites W2077424134 @default.
• W2058089453 cites W2079728363 @default.
• W2058089453 cites W2084978979 @default.
• W2058089453 cites W2085227212 @default.
• W2058089453 cites W2087799365 @default.
• W2058089453 cites W2089058614 @default.
• W2058089453 cites W2089273866 @default.
• W2058089453 cites W2090661399 @default.
• W2058089453 cites W2090981546 @default.
• W2058089453 cites W2092862415 @default.
• W2058089453 cites W2093977971 @default.
• W2058089453 cites W2094029153 @default.
• W2058089453 cites W2095188620 @default.
• W2058089453 cites W2098168282 @default.
• W2058089453 cites W2123851103 @default.
• W2058089453 cites W2151672012 @default.
• W2058089453 cites W2160307327 @default.
• W2058089453 cites W2160364651 @default.
• W2058089453 cites W2167657634 @default.
• W2058089453 cites W2316739686 @default.
• W2058089453 cites W2334837923 @default.
• W2058089453 cites W4229767827 @default.
• W2058089453 cites W4237724529 @default.
• W2058089453 cites W4246241682 @default.
• W2058089453 cites W4293515545 @default.
• W2058089453 cites W4300451678 @default.
• W2058089453 cites W2055103821 @default.
• W2058089453 doi "https://doi.org/10.1016/s0022-0728(99)00181-3" @default.
• W2058089453 hasPublicationYear "1999" @default.
• W2058089453 type Work @default.
• W2058089453 sameAs 2058089453 @default.
• W2058089453 citedByCount "42" @default.
• W2058089453 countsByYear W20580894532012 @default.
• W2058089453 countsByYear W20580894532014 @default.
• W2058089453 countsByYear W20580894532015 @default.
• W2058089453 countsByYear W20580894532016 @default.
• W2058089453 countsByYear W20580894532020 @default.

• next