Monday April 3rd HP Component Frameworks and Solver Interoperability: Two Years Later Organizer and chairman: Robert Clay, SNL Two years ago we previewed the beginnings of several efforts involving component architectures and standards-based integration; namely, the CCA and ESI standards efforts. The critical issues are reviewed in the context of the current efforts, and calling out what we've learned in the preceding two years. Industry, government, and university interest in this area has grown steadily. There are far more participants, and it's core part of the ASCI strategy for software interoperability. Two years ago we were a bunch of researchers exploring what seemed a promising technology. Now, we have built this into our core, long-term software strategy, and we are actively building components and component-based frameworks. Indeed, we are practically in the midst of a revolution. The purpose of this workshop is to discuss issues pertaining to HP component architecture, frameworks, and applications. +++++++++++++++++++++++++++++++++++++++++++++++++++++++ Tuesday April 4 Multi-level preconditioning techniques Organizer: Wei-Pai Tang (Univ Waterloo) Talks by: Yousef Saad* Henk van der Vorst* Charles Tong* and Ray Tuminaro Robert Bridson* and Wei-Pai Tang * is the speaker More and more computational experience indicates that a good preconditioner holds the key to an effective iterative solver. However, many effective conventional preconditioning techniques (such as ILU, approximate inverse, etc..) still suffer from lack of scalability, when the size of the problems grows. Multi-level or multi-resolution technique offer promises when they are combined with these conventional techniques. In this workshop, the leading experts in this areas will discuss their new results and ideas for a powerful preconditioner. +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Wednesday April 5 Optimization Workshop Organizers: Tim Kelley (NCSU)and Homer Walker (WPI) The workshop on iterative methods for optimization will include two aspects of the field. Large scale optimization problems having thousands or millions of variables require new methods for linear and nonlinear equations and preconditioning as well as new algorithms for the optimization itself. Problems with multiple local minima, nonsmooth or discontinuous optimization landscapes, and nonlinear constraints whose violation can only be detected when the function fails to return a value require new optimization technology and raise basic questions about iterative methods such as termination and error estimation.