Abstract
A framework for the verified solution of nonlinear systems arising in the analysis and design of chemical processes is described. The framework combines a symbolic preprocessing step with an interval–based branch–and–bound solver whose efficiency is increased with several acceleration techniques. One of these methods is based on order–2 Taylor expansion; it is also discussed in this note.
This work was supported by the VolkswagenStiftung within the project “Konstruktive Methoden der Nichtlinearen Dynamik zum Entwurf verfahrenstechnischer Prozesse”, Geschäftszeichen I/79 288.
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Beelitz, T., Bischof, C., Lang, B., Althoff, K.S. (2004). Result-Verifying Solution of Nonlinear Systems in the Analysis of Chemical Processes. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds) Numerical Software with Result Verification. Lecture Notes in Computer Science, vol 2991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24738-8_11
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DOI: https://doi.org/10.1007/978-3-540-24738-8_11
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