Highly accurate and structure-preserving numerical methods
for nonlinear partial differential equations

Organizers: Jorge E. Macías-Díaz  • Qin Sheng  • Joshua Lee Padgett

This page contains the details of the proposed Special Session at the Joint Mathematics Meeting to be held in Denver Colorado, January 15-18 2020 (see here). The organizers intend to add more details to this page—such as presentation titles, abstracts, and presentation slides—as they are obtained. Any questions or comments regarding this web page may be sent via this link.

This session will have two time slots. The first is Thursday, January 16, 2020, 1:00-4:00pm and the second is Friday, January 17, 2020, 8:00-11:00am.

Description: Structure-preserving methods have emerged as a central topic in computational mathematics. It has been realized that an integrator must be designed to preserve as many of the intrinsic features of the underlying problems as possible, such as conserving the mass, momentum and energy, as well as the symplecticity and multisymplecticity of physical systems. Structure-preserving algorithms can be effectively utilized for simulations of a variety of theoretical and application problems, ranging from celestial mechanics, quantum mechanics, fluid dynamics, and artificial intelligence.

This special session is dedicated to recent advances in the aforementioned efforts, with a focus on high accuracy and structure-preserving algorithms when partial differential equations are targeted. We intend to accommodate a sufficiently broad spectrum of investigations, and will consider both theoretical and computational aspects of the burgeoning field. Tentative invited speakers are:
This special session information may also be found in its ResearchGate project.