Krylov projection framework for Fourier model reduction☆ Export

@article{citeulike:6060639, abstract = {This paper analyzes the Fourier model reduction (FMR) method from a rational Krylov projection framework and shows how the FMR reduced model, which has guaranteed stability and a global error bound, can be computed in a numerically efficient and robust manner. By monitoring the rank of the Krylov subspace that underlies the FMR model, the projection framework also provides an improved criterion for determining the number of Fourier coefficients that are needed, and hence the size of the resulting reduced-order model. The advantages of applying FMR in the rational Krylov projection framework are demonstrated on a simple example.}, author = {Gugercin, S. and Willcox, K.}, citeulike-article-id = {6060639}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.automatica.2007.05.007}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0005109807002610}, doi = {10.1016/j.automatica.2007.05.007}, issn = {00051098}, journal = {Automatica}, keywords = {dynamics, model, reduction, spectral}, month = {January}, number = {1}, pages = {209--215}, posted-at = {2009-11-03 16:27:51}, priority = {2}, title = {Krylov projection framework for Fourier model reduction☆}, url = {http://dx.doi.org/10.1016/j.automatica.2007.05.007}, volume = {44}, year = {2008} }

TY - JOUR ID - citeulike:6060639 L3 - citeulike-article-id:6060639 N2 - This paper analyzes the Fourier model reduction (FMR) method from a rational Krylov projection framework and shows how the FMR reduced model, which has guaranteed stability and a global error bound, can be computed in a numerically efficient and robust manner. By monitoring the rank of the Krylov subspace that underlies the FMR model, the projection framework also provides an improved criterion for determining the number of Fourier coefficients that are needed, and hence the size of the resulting reduced-order model. The advantages of applying FMR in the rational Krylov projection framework are demonstrated on a simple example. IS - 1 JF - Automatica SN - 00051098 EP - 215 TI - Krylov projection framework for Fourier model reduction☆ VL - 44 SP - 209 KW - dynamics KW - model KW - reduction KW - spectral AU - Gugercin, S AU - Willcox, K PY - 2008/01// UR - http://dx.doi.org/10.1016/j.automatica.2007.05.007 ER -