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[CT095]

CT095 (1/1) : Numerical linear algebra (65F) / Mathematical biology in general (92B)

Session Time & Room : 4D (Aug.24, 15:30-17:10) @E508
Type : Contributed Talk
Abstract : A novel unconstrained optimization model named weighted trace-penalty minimization (WTPM) is proposed to address the extreme eigenvalue problem arising from the Full Configuration Interaction (FCI) method. The coordinate descent method is adapted to WTPM and results in WTPM-CD method. With the sparse features of both FCI matrices and the global minimizers in mind, the reduction of computational and storage costs shows the efficiency of the algorithm.
Classification : 65F15, Electron Structure Calculation
Format : Talk at Waseda University
Author(s) :
- Weiguo Gao (Fudan University)
- Yingzhou Li (Fudan University)
- Hanxiang Shen (Fudan University)

Session Time & Room : 4D (Aug.24, 15:30-17:10) @E508
Type : Contributed Talk
Abstract : We propose an iterative method for solving linear systems arising from optimization problems with a separable objective function and dense constraints and suitable preconditioner for quick convergence. The method is implemented in Julia using Krylov.jl for the iterative solution, CUDA.jl to enable GPU capabilities, and a custom kernel for construction of the preconditioner. The method attains faster solution times than direct methods common in solvers such as Mosek and Gurobi in theory and in practice.
Classification : 65F10, 15A29, 90C05, 65K05, 90C25
Format : Talk at Waseda University
Author(s) :
- Shaked Regev (Gridmatic)
- Shaked Regev (Gridmatic)

Session Time & Room : 4D (Aug.24, 15:30-17:10) @E508
Type : Contributed Talk
Abstract : Toeplitz and Toeplitz-like matrices arise in many fields; of special interest are the discretisations of differential equations. Matrix-less methods exploit the fact that we can view these Toeplitz(-like) matrices as part of a sequence of matrices and that the eigenvalues in the sequence behave as samplings of a function, called the symbol. We will discuss recent developments to handle the case of variable coefficient matrices, the approximation of eigenvectors, and Toeplitz(-like) matrices with non-monotone symbols.
Classification : 65F15, 15B05, 15A18
Format : Talk at Waseda University
Author(s) :
- David Meadon (Uppsala University)

Session Time & Room : 4D (Aug.24, 15:30-17:10) @E508
Type : Contributed Talk
Abstract : We study a discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same vital rates except that a fraction of species 1 individuals delays the initiation of reproduction. This assumption ensures that species 2 can always increase whenever species 1 can increase. This study shows that, even under this situation, species 1 can eliminate species 2 if the population is fluctuating.
Classification : 92B05, 37N25, 39A60, 92D40, 92D25
Format : Online Talk on Zoom
Author(s) :
- Ryusuke Kon (University of Miyazaki)

Session Time & Room : 4D (Aug.24, 15:30-17:10) @E508
Type : Contributed Talk
Abstract : In our modern world, we are still fighting against the 19th-century varicella virus. Researchers made many studies to prevent individuals from chickenpox, but still, it is spreading because of its high transmission rate. To study and overcome this, we introduce a model of SIQVR type having a quarantine compartment. The well-posedness and the stable nature are explored. Further, the optimal-control technique is applied to control the spread of the virus. Finally, numerical simulations are performed.
Classification : 92B05, 49J15, 34D20, 34A08
Format : Online Talk on Zoom
Author(s) :
- Hariharan Soundararajan (National Institute of Technology Goa)
- Shangerganesh Lingeshwaran (National Institute of Technology Goa)