Significance and Broader Impact
The novel approach of hierarchical matrices is of significant importance
within its own field of numerical analysis and also with respect to
practical large-scale computing challenges that scientists are
currently facing. Examples for applications include models for
magnetic fusion, accelerator design, electrochemical processes
or the growth of ceramic nanostructures.
H-matrices have first been introduced in 1998 and analysed for
"well-conditioned" model problems.
Since then, it has been a very active field of research.
The encouraging results motivate the study
of H-matrices applied to very complex models where
an efficient solution strategy for large systems
of equations will represent a significant progress.
The proposed project will enhance the infrastructure for research
and education at Tennessee Technological University,
bringing together faculty and students of the Departments
of Mathematics, Physics, Computer Science and Mechanical Engineering.
Graduate and undergraduate students will participate in modern
research and software development, acquire teamwork
and a broad range of research skills and be inspired to
continue with graduate school and choose research careers.
The project will establish an international collaboration between
leading researchers at Tennessee Technological
University, Oak Ridge National Laboratory,
Columbia University, and the Max-Planck-Institute for
Mathematics in the Sciences in Leipzig, Germany.