Continuous and discrete homotopy operators: A theoretical approach made concrete

W. Hereman, B. Deconinck and L.D. Poole

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 4, 352-360

Abstract: Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those in terms of Euler operators obtained from the variational complex.

Keywords: Homotopy operator; Exactness; Conservation law; Computer algebra (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:4:p:352-360

DOI: 10.1016/j.matcom.2006.10.012

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