The School of Emergent Priorities has published a research showcase presenting numerical methods for differential equations as a habit shared across the University.
Unconditionally Stable gathers seven studies from three Schools that step differential equations forward in time
Few brochures go looking for the backward Euler method. Unconditionally Stable: Numerical methods for differential equations, across the University, a research showcase from the School of Emergent Priorities, makes it the centrepiece.
Led by Associate Professor Kwame Lindqvist with Dr Osei Vandermeer and Dr Vigdis Emenike, the brochure presents the computation of change over time as a practice the University’s three Schools hold in common rather than a service any one of them provides.
Our graduates will spend their careers deciding how far to go before they look again. We would like them to make that decision on purpose, and this brochure is where we have started saying so out loud.
— Associate Professor Kwame Lindqvist, Director, Master of Priority Studies
The showcase moves through three themes — choosing the step, holding steady when a problem is stiff, and keeping a water budget balanced from one cell to the next — anchoring each in a School’s continuing agenda and a researcher’s own account of the work, before handing the reader seven published studies to follow up by DOI. Taken together, they position careful stepping as a capability the institution can grow into across its research-education portfolio.
Dr Vandermeer said the University’s habits of review and a solver’s habits of error control had “been speaking the same language for some time, and it is pleasant to see them finally introduced”.
The brochure takes its place as a measured addition to the University’s growing account of how it thinks, and one the Schools expect to return to as their methods mature.
The full brochure is available from the University’s research repository under an open licence, doi:10.5555/slop.k0snlx.