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[CT010]

Session Time & Room : 2E (Aug.22, 17:40-19:20) @G305
Type : Contributed Talk
Abstract : Cellular automata model for traffic flow can be described in terms of min-plus linear systems. In this talk, we focus on the triangulation of a min-plus matrix, which is defined based on the roots of characteristic polynomial and the algebraic eigenvectors associated with the roots. It plays an important role in the analysis of the asymptotic behavior of the model. Further the algebraic eigenvectors are shown to give us preferable initial states.
Classification : 15A80, 37B15, 76A30
Format : Talk at Waseda University
Author(s) :
- Yuki Nishida (Tokyo University of Science)
- Sennosuke Watanabe (The University of Fukuchiyama)
- Yoshihide Watanabe (Doshisha University)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @G305
Type : Contributed Talk
Abstract : We present recent developments in the study of the spectral behaviour of structured matrix sequences. For example, all PDE discretizations, such as FEM, FDM, and DGM, generate these types of sequences. We will mainly discuss matrix-less methods for non-Hermitian sequences, where the generating symbol does not describe the eigenvalue distribution; we can now numerically approximate, with high accuracy, the spectral symbol describing the eigenvalue distribution. Standard double precision eigenvalue solvers typically fail for these matrices.
Classification : 15Axx, 35Pxx, 65Fxx
Format : Talk at Waseda University
Author(s) :
- Sven-Erik Ekström (Uppsala University)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @G305
Type : Contributed Talk
Abstract : Several physical and natural phenomena are characterized on one hand by the presence of different temporal and spatial scales, on the other by the presence of contacts among different components through rough interfaces like domains with non-smooth boundaries and fractal layers. The principal aim of the talk is to propose mathematical models to investigate these phenomena as well as their numerical approximation. Our attention will be focused on fractional Cauchy problems on the random Koch domains with different boundary conditions. Random Koch domains are domains whose boundary are constructed by mixtures of Koch curves with random scales. These domains are obtained as limit of domains with Lipschitz boundary whereas for the limit object, the fractal given by the random Koch domain, the boundary has Hausdorff dimension between 1 and 2. We point out that Random Koch domains provide a suitable setting to model phenomena - taking place across irregular and wild structures in which boundaries are "large" while bulk is "small"- in which the surface effects are enhanced like, for example, pulmonary system, root infiltration, tree foliage, etc..
Classification : 28A80, 35R11, 26A33, 35J25, 65K15
Format : Talk at Waseda University
Author(s) :
- Raffaela Capitanelli (Sapienza University of Roma)

Session Time & Room : 2E (Aug.22, 17:40-19:20) @G305
Type : Contributed Talk
Abstract : In this article, a novel class of multivariate zipper fractal functions is introduced by perturbing a classical multivariate function through free choices of base functions, scaling functions, and a binary matrix called signature. In particular, the approximation properties of multivariate Bernstein zipper fractal function are investigated along with non-negativity, and coordinate-wise monotonicity features of the germ function.
Classification : 28A80, 41A63, 41A29, 41A05, 41A30
Format : Talk at Waseda University
Author(s) :
- Deependra Kumar (Indian Institute of Technology Madras)
- ARYA KUMAR BEDABRATA CHAND (Indian Institute of Technology Madras)
- Peter Robert Massopust (Technical University of Munich(TUM) Germany)