The latter has been especially thoroughly studied as a central paradigm of nonequilibrium dynamics since it is well characterized both experimentally and mathematically. Research at Duke in nonequilibrium physics is enriched by the Center for Nonlinear and Complex Studies, an interdisciplinary group of faculty and graduate students involving members of the Biology, Chemistry, Computer Science, Mathematics, and Physics Departments, and the School of Engineering. Numerical solution of nonlinear algebraic and differential equations, numerical linear algebra, scientific computing. Scientific computing is the synthesis of the mathematics, science, software development, and art needed to solve major technological problems. The numerical solution of differential equations focuses on methodology for solving algebraic differential systems and systems of partial differential equations.
All equations are nonlinear.
Work on numerical linear algebra involves research into sparse direct methods for solving linear systems of equations, nested iteration and block iteration methods for linear systems, and issues related to implementing these methods on novel architecture machines including parallel machines. Numerical analysis, matrix theory, high performance scientific computing and parallel computing. My recent research work has been focused on understanding and solving the new problems in large and dense matrix computations. My research has contributed to the design of some new block algorithms and parallel algorithms. A software package for the serial implementation of SBR is developed, and the development of a parallel counterpart is in progress.