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SS147: Structure Preserving Numerical Methods

Organizer(s):
Name:	Affiliation:	Country:
Molei Tao	Georgia Institute of Technology	USA

Abstract:
Many systems in science and engineering are endowed with structures such as symplecticity, volume-preservation, invariant distribution, and/or monotonicity. Often, the numerical preservation of such structures results in improved long-term simulation accuracy, and even at a short scale it can lead to a better trade-off between accuracy and efficiency. This special session discusses progress in both recent and long-standing problems in structure preserving numerical methods.

List of approved abstract
Name	Affiliation	Title
Ibrahim Almuslimani	University of Geneva	Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations
Chuchu Chen	Chinese Academy of Sciences	Runge-Kutta semidiscretizations for stochastic Maxwell equations
Giacomo Garegnani	EPFL	Uncertainty quantification of numerical errors in geometric integration via random time steps
Evan Gawlik	University of California, San Diego	Finite element exterior calculus for parabolic problems on evolving surfaces
Francois Gay-Balmaz	CNRS Ecole Normale Superieure	Towards a geometric variational discretization of compressible fluids
Frederic Legoll	Ecole des Ponts	Symplectic parareal schemes and structure preserving parallel-in-time propagators
Simon Plazotta	Technical University Munich	Construction of Gradient Flows in Metric Spaces via BDF2
Zaijiu Shang	Chinese Academy of Sciences	Nonlinear stability of symplectic numerical integration
Yajuan Sun	AMSS, CAS	Numerical simulation of runaway particles in Plasmas
Molei Tao	Georgia Tech	Explicit high-order symplectic integration of arbitrary Hamiltonians
Hiroaki Yoshimura	Waseda University	Variational integrators for the nonequilibrium thermodynamics of simple systems
Jingjing Zhang	East China Jiaotong University	Structure-preserving continuous-stage Runge-Kutta-Nystr\\{o}m methods