COMPUTATIONAL MATHEMATICS

Fundamental physical phenomena have mathematical descriptions in terms of equations. The objective of computational mathematics is to study certain mathematical aspects of these equations and their solutions. The results are intended to deepen the mathematical knowledge of such equations and thereby carry across to physical understanding of phenomena that the equations describe. In addition to applications in the physical sciences, such as in material sciences, computational mathematics has been applied to finance, biology, and system analysis.

Waves, light, gravity, and elementary particle interactions are described mathematically in terms of wave equations and physical field equations. The purpose of ANCO's, CRAIG's, and WOLF's research is to study these kinds of equations, focusing in particular on symmetries, conservation laws, and properties of their solutions.

Spatially descrete dynamical systems are often used to model phenomena involving locally interacting objects, such as, for example, granular flow and road traffic flow. FUKS is interested in kinetic phase transitions occuring in such models, development of singularities in their flow diagrams, and their possible connections with article-based models of parallel computation.