Skip to navigation Skip to content
Careers | Phone Book | A - Z Index
Applied Numerical Algorithms Group

ASCR Applied Mathematics Base Program

The goal of this DoE ASCR Applied Math project is to develop new algorithms for simulating complex systems that are represented by solutions to partial differential equations (PDE). Such systems are characterized by the presence of multiple physical processes, complex geometries, and multiple length and time scales. In our previous work, we have developed a number of new methods that are required to simulate a variety of complex systems. These include methods for treating problems with multiple time scales; accurate and robust finite-volume discretizations; methods for adaptively concentrating computational effort where it is most needed; general, flexible methods for representing complex geometries; and high-performance scalable parallel solvers for elliptic PDE. The focus for our research will be provided by the requirements for simulation in the applications areas of importance to the DOE. Current work includes the fundamental algorithmic research required to support such applications, including high-order methods for adaptive grids, both in Cartesian and spherical geometries; higher-order accurate embedded boundary methods; and highly scalable methods for Poisson's equation.

ANAG members

About Berkeley Lab

Founded in 1931 on the belief that the biggest scientific challenges are best addressed by teams, Lawrence Berkeley National Laboratory and its scientists have been recognized with 16 Nobel Prizes. Today, Berkeley Lab researchers develop sustainable energy and environmental solutions, create useful new materials, advance the frontiers of computing, and probe the mysteries of life, matter, and the universe. Scientists from around the world rely on the Lab’s facilities for their own discovery science. Berkeley Lab is a multiprogram national laboratory, managed by the University of California for the U.S. Department of Energy’s Office of Science.

DOE’s Office of Science is the single largest supporter of basic research in the physical sciences in the United States, and is working to address some of the most pressing challenges of our time. For more information, please visit