Mathematical and Computational Sciences Division
Information Technology Laboratory
National Institute of Standards and Technology
U. S. Department of Commerce
January 2008
This report summarizes the technical work of the Mathematical and Computational Sciences Division (MCSD) of NIST’s Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Division’s activities, including highlights of technical accomplishments during the previous year. Part II (Features) provides further details on eight particular projects of particular note this year. This is followed in Part III (Project Summaries) by brief summaries of all technical projects active during the past year. Part IV (Activity Data) provides listings of publications, technical talks, and other professional activities in which Division staff members have participated. The reporting period covered by this document is October 2006 through December 2007.
Download complete report (4.8 Mbytes), or individual sections below.
Part I : Overview | 9 |
Introduction | 11 |
Highlights | 14 |
Technical Accomplishments | 14 |
Technology Transfer and Professional Acctivities | 16 |
Staff News | 17 |
Recognition | 18 |
Passings | 20 |
Part II - Features | 21 |
Parallel Adaptive Multilevel Finite Elements | 23 |
Computable Error Bounds for Delay Differential Equations | 25 |
Making Optical "Schroedinger Cat" States | 28 |
Modeling the Rheological Properties of Suspensions | 30 |
Computation, Visualization of Nano-structures and Nano-optics | 33 |
Error Correction for Electromagnetic Motion Tracking Systems | 36 |
Automated Combinatorial Testing for Software Systems | 38 |
Math Search | 40 |
Part III - Project Summaries | 43 |
Mathematics of Metrology | 45 |
The Lipschitz Exponent as an Image Metrology Tool | 45 |
Systems Identification and Parameter Estimation | 46 |
Sparse Representations in High Dimensional Geometry | 47 |
Sequential Importance Sampling and the Markov Chain Monte Carlo Method | 47 |
Quantum Information | 49 |
Quantum Computing with Ion Traps | 49 |
Quantum Computing Theory | 50 |
Preparing Ancillary States for Quantum Computation | 50 |
Adaptive Finite Element Modeling of Two Confined and Interacting Atoms | 51 |
Fundamental Mathematical Software Development and Testing | 52 |
OOF: Finite Element Analysis of Material Microstructures | 52 |
Sparse BLAS Standardization | 53 |
TNT: Object Oriented Numerical Programming | 53 |
SciMark, a Web-based Benchmark for Numerical Computing in Java | 53 |
Mathematical Knowledge Management | 55 |
Digital Library of Mathematical Functions | 55 |
Cultivating (Legacy) Mathematical Data | 57 |
Visualization of Complex Function Data | 58 |
High Performance Computing | 59 |
High Precision Hy-CI Variational Calculations on Small Atomic Systems | 59 |
Screen Saver Science | 60 |
Computational Modeling of Cement Paste Hydration and Microstructure Development | 60 |
Physics Models for Transport in Compound Semiconductors | 61 |
High Performance Visualization | 63 |
Virtual Cement and Concrete Testing Laboratory | 63 |
Visualization of Cement Paste Hydration and Microstructure Development | 63 |
Three-D Desktop | 64 |
Visualization of Network Dynamics | 65 |
Monitoring Change in Lung Tumors | 66 |
Mathematical Applications: Mechanical Systems and Processes | 69 |
Application of Optimization Techniques to Design for Multi-Hazard Conditions | 69 |
Instability in Pipe Flow | 69 |
Materials Data and Metrology for Applications to Machining Processes, Frangible Ammunition, and Body Armor | 70 |
Mathematical Applications: Electromagnetic Systems | 72 |
Micromagnetic Modeling | 72 |
Time-Domain Algorithms for Computational Electromagnetics | 73 |
Laser Pulse Shape Measurement for Laser Guidance and Range Finding | 73 |
Modeling of Optical Spectra | 75 |
Mathematical Applications: Chemistry and Biology | 76 |
Modeling of Photochemical Reactions in a Focused Laser Beam | 76 |
Optical Coherence Tomography for Biomedical Imaging | 76 |
Accuracy and Standards for X-ray Measurements of Bone Mineral Density | 77 |
Monitoring and Modeling Change in Lung Tumors | 78 |
Computational Biology and Cell Imaging | 81 |
Mathematical Applications: Information Technology | 76 |
Foundations of Measurement Science for Information Systems | 82 |
Methods for Characterizing Massive Networks | 83 |
Analysis of a Distributed Protocol for Network Control | 84 |
Standard Reference Data for Complex Network Research | 84 |
Part IV - Activity Data | 87 |
Publications | 89 |
Presentations | 93 |
Software Released | 96 |
Conferences, Minisymposia, Lecture Series, Short-courses | 96 |
Other Professional Activities | 97 |
External Contacts | 98 |
Part V - Appendices | 101 |
Staff | 103 |
Glossary of Acronyms | 106 |
Disclaimer. Identification of commercial products in this report does not imply recommendation or endorsement by NIST.
This page was created on 11 February 2008. Direct questions or comments to boisvert@nist.gov.