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[CT080]

CT080 (1/1) : Error analysis and interval analysis (65G) / Difference equations (39A) / Parametric inference (62F) / Multiphase and multicomponent flows (76T)

Session Time & Room : 2D (Aug.22, 15:30-17:10) @E503
Type : Contributed Talk
Abstract : The Paterson--Stockmeyer method is an evaluation scheme for matrix polynomials with scalar coefficients that arise in many state-of-the-art algorithms based on polynomial or rational approximants, for example, those for computing transcendental matrix functions. We derive a mixed-precision version of the Paterson--Stockmeyer method that can be faster and use less memory than its fixed-precision counterpart while delivering the same level of accuracy.
Classification : 65G50, 65F45, 65F60
Format : Talk at Waseda University
Author(s) :
- Nicholas J. Higham (The University of Manchester)
- Xiaobo Liu (The University of Manchester)

Session Time & Room : 2D (Aug.22, 15:30-17:10) @E503
Type : Contributed Talk
Abstract : Allee effect is a density-dependent phenomenon in which population growth or individual components of fitness increase as population density increases. Understanding the density-dependent effect is vital to elucidate how populations evolve and to investigate evolutionary stability. Partial migration, where a proportion of a population migrates while other individuals remain resident, is widespread across most migratory lineages. However, the mechanism is still poorly understood in most taxa, especially those experiencing positive density-dependent effects. In this talk we discuss the evolutionary stability of partial migration population with the only migrant population experiencing Allee effects. Using the Evolutionary Game Theoretic (EGT) approach, we show the existence and uniqueness of a evolutionary stable strategy (ESS). We also show that the ESS is the only Ideal Free distribution (IFD) that arises in the context of a partially migrating population.
Classification : 39A60, 92D25, 91A22
Format : Talk at Waseda University
Author(s) :
- Yogesh Trivedi (Bits-Pilani, K.K Birla Goa Campus)
- Ram Singh (Bits-Pilani, K.K Birla Goa Campus)
- Anushaya Mohapatra (Bits-Pilani, K.K Birla Goa Campus)

Session Time & Room : 2D (Aug.22, 15:30-17:10) @E503
Type : Contributed Talk
Abstract : Car following (CF) models play an important role in traffic simulation software. Estimating their parameters is necessary to enhance predictive performance and is traditionally accomplished through optimisation. In this research, we adopted Bayesian inference which is advantageous for uncertainty quantification. As the CF model depends on its parameters through solution of a delay differential equation, the likelihood is analytically intractable so we employed an adaptive Markov chain Monte Carlo algorithm to sample from the posterior.
Classification : 62F15, 65Cxx
Format : Talk at Waseda University
Author(s) :
- Samson Ting (The University of Western Australia)
- Michael Small (The University of Western Australia)
- Thomas Stemler (The University of Western Australia)
- Chao Sun (The University of Western Australia)
- Thomas Lymburn (The University of Western Australia)

Session Time & Room : 2D (Aug.22, 15:30-17:10) @E503
Type : Contributed Talk
Abstract : The Fisher-KPP model is one of the simplest partial differential equation models exhibiting travelling wave behaviour, and has been widely used to model the growth and spread of populations in biology. When applying the model to experimental data, it is often tempting to generalize the model with additional parameters to obtain a better fit. However, this increase in model complexity also increases the difficulty of estimating the parameter values. In this study, we use a profile likelihood approach to investigate parameter identifiability in extensions of the Fisher-KPP model on both simulated data, and experimental data from a cell invasion assay. We focus on the effects of the forms of the kinetic terms, model misspecifications, and amount of data. We also quantify the amount of data required to justify a more complex model, and explore ways to design experiments to yield data more useful for parameter identification.
Classification : 62fxx, 62p10, 92cxx
Format : Online Talk on Zoom
Author(s) :
- Yue Liu (University of Oxford)
- Philip K Maini (University of Oxford)
- Ruth E Baker (University of Oxford)

Session Time & Room : 2D (Aug.22, 15:30-17:10) @E503
Type : Contributed Talk
Abstract : In a non-isothermal Poiseuille flow, we investigate the impact of an internal thermal singularity on the migration of a viscous immiscible droplet. The migration velocity strongly depends upon the type of thermal singularity and where it is located inside the droplet. In $Re \to 0$ and $Pe \to 0$ limits, this mathematical model provides a control mechanism for droplet migration, which may be useful in a variety of microfluidics as well as industrial applications.
Classification : 76T06
Format : Online Talk on Zoom
Author(s) :
- Arindam Basak (Indian Institute of Technology Kharagpur)
- Rajaram Lakkaraju (Indian Institute of Technology Kharagpur)
- Raja Sekhar G P (Indian Institute of Technology Kharagpur India)