Numerical Analysis, Centre for Mathematical Sciences
Lund University, Sweden
Abstract: Adaptive methods are of cruical importance to efficiency in scientific computing. However, it is still very common that strategies for adaptation used in practice are heuristic or less well supported by analysis. In this talk we review some advances with a focus on time-stepping, where we show that ideas from control theory and digital signal processing can be used to construct efficient techniques for adaptive time-stepping, and that these techniques have an impact on the regularity of the computed solutions as well as on the stability of the computed results. If time permits, we will also have a look at new adaptive methods for Hamiltonian problems, which require that the adaptivity is time-reversible and symmetric, without losing important conservation properties and long-time behavior.
Pieter J. Mosterman
Senior Research Scientist
The MathWorks, Inc.
Natick, MA 01760
The analysis and design of engineered systems has a long relied on conceptual models, typically of a computational nature. Increasing complexity of systems under design as witnessed over the past two decades has been the driver to support modeling in two directions: (i) provide more sophisticated modeling languages and (ii) facilitate automation by means of computer aided design tools. Model-Based Design exploits the use of models in many facets of system design; as an executable specification derived from requirements, during early design stages, in prototyping in various forms, for detailed component-level and system-level design, for production code generation, to perform calibration and test design, etc. Each of these usages pose different requirements on the modeling languages and tool support. In addition, enterprise-wide use of modeling has presented a need to combine, integrate, and reconcile models of different views on the same system under design. The resulting use of modeling and simulation has put forward a new set of research challenges. In particular, tool infrastructure has become critical to the design of modern engineered systems. This presentation provides an overview of tool infrastructure that is essential for the successful adoption of Model-Based Design at an enterprise-wide level. The resulting challenges are argued to be important drivers in directing research in the field of modeling and simulation to help elevate the industrial design process to the next level.
Pieter J. Mosterman is a senior research scientist at The MathWorks, Inc. in Natick, MA. Before, he was a research associate at the German Aerospace Center (DLR) in Oberpfaffenhofen. He has a Ph.D. degree in Electrical and Computer Engineering from Vanderbilt University in Nashville, TN, and a M.Sc. degree in Electrical Engineering from the University of Twente, Netherlands. His primary research interests are in Computer Automated Multiparadigm Modeling (CAMPAM) with principal applications in training systems and fault detection, isolation, and reconfiguration. For this, he designed several modeling and simulation environments such as the Electronics Laboratory Simulator, which was nominated for The Computerworld Smithsonian Award by Microsoft Corporation, and HYBRSIM. He was awarded the IMechE Donald Julius Groen Prize for his paper "HYBRSIM-A Modeling and Simulation Environment for Hybrid Bond Graphs".
Dr. Mosterman is currently Editor-in-Chief of Simulation: Transactions of The Society for Modeling and Simulation International for the Methodology section, and Associate Editor of IEEE Transactions on Control System Technology and of Applied Intelligence. He was Mechatronics Area Editor of Simulation: Transactions of The Society for Modeling and Simulation International and Guest Editor of special issues of ACM Transactions on Modeling and Computer Simulation and IEEE Transactions on Control Systems Technology on the topic of CAMPAM. Dr. Mosterman co-chaired the 14th International Workshop on Principles of Diagnosis (2003) and the annual International Bellairs CAMPaM Workshop since 2004. He was the Invited Sessions Chair of the 2006 IEEE International Symposium on Computer Aided Control System Design, and Program Chair of the 2007 International Conference on High Level Simulation Languages and Applications as well as the track on Model-Based Design for Embedded Systems at the 2007 and 2008 Design Automation and Test in Europe Conference and of the track on Computational Modeling and Simulation of Embedded Systems at the 2007 Summer Computer Simulation Conference.