Elizabeth Mansfield (mathematician)

Elizabeth Mansfield is a mathematician known for her work in symbolic computation, differential algebra, and the applications of these areas to differential equations. Her research focuses on the development of algorithms and software for manipulating and solving differential equations, with a particular emphasis on finding symmetries and conservation laws.

Mansfield's work has made significant contributions to the field of symbolic computation. She has developed techniques for automating the computation of symmetries and conservation laws of differential equations, which are important for understanding their qualitative behavior and finding exact solutions. Her work also includes the development of specialized software packages for these computations.

Her research is highly interdisciplinary, drawing upon ideas from computer science, mathematics, and physics. It has applications in various fields, including fluid dynamics, elasticity, and general relativity.

Mansfield has held academic positions at universities internationally and has published extensively in leading mathematical and scientific journals. She is also an active member of the mathematical community, participating in conferences and workshops and collaborating with researchers from around the world. Her contributions have significantly advanced the field of symbolic computation and its applications to differential equations.