TY - JOUR
DP - National Agricultural Library
DB - PubAg
JO - Industrial & Engineering Chemistry Research
TI - Nonlinear Homotopic Continuation Methods: A Chemical Engineering Perspective Review
A1 - Jiménez-Islas, Hugo
A4 - Jiménez-Islas, Hugo
A4 - Martínez-González, Gloria M.
A4 - Navarrete-Bolaños, José
L.
A4 - Botello-Álvarez, José E.
A4 - Oliveros-Muñoz, J. Manuel
EP - 2013 v.52 no.42
KW - chemical engineering
KW - chemistry
KW - mathematical theory
KW - sustainable engineering
KW - topology
AN - 5375964
AB - It is difficult to imagine mathematics or engineering to date without nonlinear algebraic systems; these topics have deserved more diverse and vigorous interest over the years. In fact, one of the most important modern branches of mathematics originated in this context, topology, which has been inseparable from homotopy theory, describes a powerful intuitive tool to solve nonlinear algebraic systems. In the present work, we attempt to briefly summarize the theoretical beginnings of homotopy, its eventual transformation into a numerical method, its most reiterative applications in chemical engineering, and some current challenges in this field from an engineering-friendly perspective, especially approachable for chemical engineers.
PY - 2013
LA -
DA - 2013-10-23
VL - v. 52
IS - no. 42
SP - pp. 14729-14742
DO - 10.1021/ie402418e
ER -