Connections in Geometric Numerical Integration and Structure-Preserving Discretization (17w5152)

Arriving in Banff, Alberta Sunday, June 11 and departing Friday June 16, 2017


(Centre de Recherche Mathématiques)

(University of New Mexico)

Christopher Budd (University of Bath)

Alexander Bihlo (Memorial University of Newfoundland)

(McGill University)


Given the recent research activities in both geometric numerical integration and structure-preserving discretization, we are now at an important junction to bring together these two groups. So far, most work on geometric numerical integration has focused on preserving geometrical structures across each time step, while structure-preserving discretizations have centered on preserving differential structures in spatial discretizations. It is therefore the goal for this workshop to connect scientists working in these areas. Such interaction from these two groups will have impact in computational mathematics and in fields of science and engineering where long time accuracy and stability is sought after.

The main objective of this workshop is to bring together applied mathematicians, engineers and computational scientists for the first time in:

1) areas of symplectic integration, variational integration, Lie group methods, and conservative methods with emphasis on long time accuracy and stability,

2) areas of mimetic discretizations, discrete exterior calculus, and finite element exterior calculus with keen interests in application of structure-preserving methods.