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[CT081]

CT081 (1/1) : Mathematical programming (90C) / Numerical analysis in abstract spaces (65J) / Discrete geometry (52C) / Statistics (62-) / Numerical problems in dynamical systems (65P)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
Type : Contributed Talk
Abstract : We provide a new optimization algorithm for simulation-based models with highly irregular objective functions, like those of network or agent-based models. The approximate inexact Newton method (AINM) is based on approximating the first two derivatives of the function through a polynomial regression. We provide new general results concerning approximate Netwon methods, we extensively discuss the theoretical and computational aspects of the AINM, and support the theory by Monte Carlo experiments and two applications.
Classification : 90Cxx, 62F10, 62J05
Format : Talk at Waseda University
Author(s) :
- Raffaello Seri (Università degli Studi dell'Insubria)
- Mario Martinoli (Scuola Superiore Sant'Anna Pisa)
- Fulvio Corsi (Università di Pisa)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
Type : Contributed Talk
Abstract : We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. The main novelty of our approach in comparison to existing methods is an adaptive choice of the step size for the update of the curve parameter. It is proven that the piecewise affine approximations generated by the algorithm converge (weakly) to a so-called parametrized balanced viscosity solution. Numerical experiments illustrate the theoretical findings and show a significant increase of the step size during sticking and in viscous jumps.
Classification : 65J08, 65K15, 65M12, 65M50
Format : Talk at Waseda University
Author(s) :
- Merlin Andreia (TU Dortmund University)
- Christian Meyer (TU Dortmund University)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
Type : Contributed Talk
Abstract : Conformal energy minimization is an efficient approach to computing conformal parameterizations. In this talk, we introduce a stable minimization of discrete conformal energy (SMDCE) algorithm for conformal parameterizations of simply connected open surface. The stability of SMDCE is reflected in the guarantee of the one-to-one and onto properties of the computed parameterization and the insensitivity to the initial value. The numerical experiments indicate the stability and competitiveness with state-of-the-art algorithms in terms of efficiency.
Classification : 52C26, 49Q10, 68U05
Format : Talk at Waseda University
Author(s) :
- Zhong-Heng Tan (School of Mathematics, Southeast University)
- Zhenyue Zhang (Nanjing Center for Applied Mathematics)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
Type : Contributed Talk
Abstract : Markov Chain Model can be constructed by the concept of time dependency and approached by the Copula. Markov Chain Model using Clayton and Joe Copula is proposed to determine the 3-sigma control limit in statistical control process for time series binomial data. In this paper, Gumbel and Frank Copula use in determining the 3-sigma control limits. We conduct simulations to see the performance of the developed methods and analyze the number of defective pieces in the jewelry manufacturing process.
Classification : 62-08, 62A99
Author(s) :
- Pepi Novianti (Universitas Gadjah Mada, University of Bengkulu)
- Gunardi Gunardi (Universitas Gadjah Mada)
- Dedi Rosadi (Universitas Gadjah Mada)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
Type : Contributed Talk
Abstract : In this work, a new lattice model is proposed by considering the driver’s behavior (timid or aggressive) and downstream average flow on traffic dynamics. The stability condition is determined through stability analysis. Nonlinear analysis forms the modified Korteweg-de Vries (mKdV) equation to describe traffic density wave propagation near the critical point. Theoretical results are verified with numerical simulations, and it is concluded that driver behavior and average flow can stabilize traffic flow dynamics.
Classification : 65P40, 65K05, Traffic flow
Author(s) :
- Nikita Madaan (Chandigarh University)
- Nikita Madaan (Thapar Institute of Engineering and Technology)
- Sonia - (Chandigarh University)