The Laboratory for Applied Mathematics, Numerical Software, and Statistics (LANS) group provides a hub for Argonne Computing activities in computational mathematics, data-driven methods, numerical analysis, and mathematical libraries. We work with researchers throughout Argonne and the scientific and engineering communities in exploiting ways to improve the effectiveness of scientists in solving challenging problems. Our name reflects three important emphases:
Mathematical modeling, numerical analysis, and theory provide a foundation for all scientific and engineering problems. Our research covers the complete spectrum from formulation to algorithm design and analysis to software implementation and interoperability to collaboration with domain scientists in solving large-scale problems.
New technologies -- numerical solvers, interfaces, and libraries -- are essential to meet the needs of computational scientists. We are dedicated to incorporating new numerical methods into portable, high-performance software and testing it in large-scale simulations of interest to the scientific community.
Analysis, design, and operation under uncertainty are increasingly vital for achieving new scientific insights and robust decision making. We are exploring state-of-the-art data-driven techniques that will incorporate statistical techniques, fully exploit high-performance computing, and increase trust in results from models spanning artificial intelligence, mathematical simulation, and physical experimentation.