Mini-symposium (MS)

MS3: Recent Advances in Numerical Methods for PDEs

Organizers: S.S. Ravindran, University of Alabama in Huntsville

Abstract: The rapid growth and diversity of research in science and engineering over the past decades has spawned many intellectually challenging and computationally intensive PDE problems to be solved.  Despite significant progress made in development of efficient computational methods for numerical solution of these problems, many problems still remain open.

This minisymposium aims to provide a platform to present recent developments on the novel and efficient numerical methods for solving PDEs, enable in-depth discussions on a variety of computational efforts for solving problems arising in areas of science and engineering from researchers at all stages of their careers.

Saturday, September 18, 10:00 AM – 12:30 PM: Part I of III

Room: Libry 3129

10:00 – 10:30 Dan Reynolds, Southern Methodist University, High-order multirate time integration for multi-physics systems

10:30 – 11:00 Victor DeCaria, Oak Ridge National Laboratory, Improving accuracy and stability of existing time integrators with nonintrusive post-processing

11:00 – 11:30 Ian Holloway, Wright State University, Numerical solution of supersonic Euler and Magnetohydrodynamic flow past cones

11:30 – 12:00 Mark Sussman, Florida State University, A low Mach number model and associated numerical algorithm for simulating complex multiphase flows with mass transfer in a cryogenic fuel tank

12:00 – 12:30 Carmeliza Navasca, University of Alabama at Birmingham, Low rank CP tensor decomposition for model order reduction

Saturday, September 18, 3:30 PM – 5:30 PM: Part II of III

Room: Libry 3129

3:30 – 4:00 Yingjie Liu, Georgia Tech, New finite difference methods on irregular grids for solving Maxwell's equations

4:00 – 4:30 James Lambers, The University of Southern Mississippi, Ccalable time-stepping for nonlinear PDEs through Krylov subspace spectral methods

4:30 – 5:00 Mamikon Gulian, Sandia National Laboratory, Robust architectures, initialization, and training for deep neural networks via the adaptive basis interpretation

5:00 – 5:30 Deepanshu Verma, Emory University, Fractional deep deural network and inverse problems

Sunday, September 19, 10:30 AM – 1:00 PM: Part III of III

Room: Libry 3129

10:30 – 11:00 Yi Zhang, University of North Carolina at Greensboro, Adaptive two-grid finite element algorithms for linear and nonlinear problems

11:00 – 11:30 Xiaoming He, Missouri University of Science and Technology, A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model

11:30 – 12:00 Evelyn Herberg, George Mason University, Sparse discretization of optimal control problems with PDEs

12:00 – 12:30 Yanzhi Zhang, Missouri University of Science and Technology, Meshfree methods for problems with variable-order Laplacian

12:30 – 1:00 Xiaobing Feng, University of Tennessee at Knoxville, A fast algorithm for parameter-dependent and random PDEs