@misc{SchlegelMarquardtEhrigetal., author = {Schlegel, Martin and Marquardt, Wolfgang and Ehrig, Rainald and Nowak, Ulrich}, title = {Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7052}, number = {02-38}, abstract = {In this work we present an approach for the sensitivity analysis of linearly-implicit differential-algebraic equation systems. Solutions for both, states and sensitivities are obtained by applying an extrapolated linearly implicit Euler discretization scheme. This approach is compared to the widely used sensitivity extensions of multi-step BDF methods by means of case studies. Especially, we point out the benefit of this method in the context of dynamic optimization using the sequential approach.}, language = {en} } @article{SchlegelMarquardtEhrigetal.2004, author = {Schlegel, Martin and Marquardt, Wolfgang and Ehrig, Rainald and Nowak, Ulrich}, title = {Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation}, series = {Applied Numerical Mathematics}, journal = {Applied Numerical Mathematics}, number = {48}, pages = {83 -- 102}, year = {2004}, language = {en} } @article{GroschBriesenWulkowetal.2007, author = {Grosch, R. and Briesen, Heiko and Wulkow, Michael and Marquardt, Wolfgang}, title = {Generalization and numerical investigation of QMOM for crystallization processes}, series = {AIChE J.}, volume = {53}, journal = {AIChE J.}, pages = {207 -- 227}, year = {2007}, language = {en} }