Browsing Faculty Works, Department of Mathematics by Subject "approximation"
Now showing items 17 of 7

An effective method for parameter estimation with pde constraints with multiple righthand sides
(Siam Publications, 2012)Often, parameter estimation problems of parameterdependent PDEs involve multiple righthand sides. The computational cost and memory requirements of such problems increase linearly with the number of righthand sides. For ... 
H2 model reduction for largescale linear dynamical systems
(Siam Publications, 2008)The optimal H2 model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focusing either on solution of Lyapunov equations ... 
Interpolatory projection methods for parameterized model reduction
(Siam Publications, 2011)We provide a unifying projectionbased framework for structurepreserving interpolatory model reduction of parameterized linear dynamical systems, i.e., systems having a structured dependence on parameters that we wish to ... 
Model reduction of descriptor systems by interpolatory projection methods
(Siam Publications, 2013)In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the ... 
Preconditioners for generalized saddlepoint problems
(Siam Publications, 2006)We propose and examine blockdiagonal preconditioners and variants of indefinite preconditioners for block twobytwo generalized saddlepoint problems. That is, we consider the nonsymmetric, nonsingular case where the ( ... 
Recycling BICG with an application to model reduction
(Siam Publications, 2012)Science and engineering problems frequently require solving a sequence of dual linear systems. Besides having to store only a few Lanczos vectors, using the biconjugate gradient method (BiCG) to solve dual linear systems ... 
Transfer function approach to output specification in certain linear distributed parameter systems
(American Institute of Mathematical Sciences, 2003)We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their ...