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[CT061]

Session Date & Time : 1D (Aug.21, 15:30-17:10)
Type : Contributed Talk
Abstract : The singular perturbation Fredholm integro-differential equation has been examined with a discontinuous source term using computational numerical techniques. To solve the problem, an exponentially-fitted numerical method on a Shishkin mesh has been used. It is demonstrated that the method is uniformly convergent concerning the singular perturbation parameter. The theoretical findings are validated through the numerical outcomes.
Classification : 45J05, 34K26, 65L12
Author(s) :
- Ajay Singh Rathore (National Institute of Technology Tiruchirappalli.)
- Shanthi Vembu (National Institute of Technology Tiruchirappalli.)

Session Date & Time : 1D (Aug.21, 15:30-17:10)
Type : Contributed Talk
Abstract : We study the long-time asymptotics of a coagulation model describing the evolution of a system of particles characterized by volume and surface area. The aggregation mechanism takes place in two stages: collision and fusion of particles. A particularity of the system is that, for some fusion mechanisms, the particle distribution describes a system of ramified-like particles. Moreover, we prove that we are able to recover the standard coagulation equation in the case of fast fusion.
Classification : 45K05, 34A34, 35Q92, 35Q70
Author(s) :
- Iulia Cristian (University of Bonn)
- Juan J. L. Velázquez (University of Bonn)

Session Date & Time : 1D (Aug.21, 15:30-17:10)
Type : Contributed Talk
Abstract : An accurate prediction of the formation of polymer particles is vital for synthesis of high quality materials, but still not feasible due to its complexity. We present a Population Balance Equations model as a tool targeting the task. Aimed to enhance model performance, we derive a quantitative criterion for locating regions of “slow” aggregation among particles. Within such a regime, the aggregation terms can be neglected and computational efficiency improves by several orders of magnitude.
Classification : 45Kxx, 70-10, 92Exx
Author(s) :
- Simone Rusconi (CUNEF Universidad)
- Christina Schenk (IMDEA Materials Institute)
- Arghir Zarnescu (Basque Center for Applied Mathematics)
- Elena Akhmatskaya (Basque Center for Applied Mathematics)

Session Date & Time : 1D (Aug.21, 15:30-17:10)
Type : Contributed Talk
Abstract : In this talk, we will discuss an algorithm for reconstructing multipolar acoustic sources using sparse far-field multifrequency measurements of the scattered field. A hybrid Fourier algorithm exploiting the low rank of the structured Hankel matrix associated with the scattered field is designed. The sparse data is first linked to the Fourier coefficients of the source, then enriched using an annihilation-filter-based Hankel matrix completion approach (ALOHA), and finally inverted for sources using the inverse Fourier transform.
Classification : 45Qxx, 65Txx, Machine Learning
Author(s) :
- Abdul Wahab (Nazarbayev University)
- Abdul Wahab (Nazarbayev University)

Session Date & Time : 1D (Aug.21, 15:30-17:10)
Type : Contributed Talk
Abstract : In this talk, we prove an existence and locally attractivity result for Volterra type nonlinear perturbed random integral equations in separable Banach space under mixed generalised compactness, contraction and caratheodory conditions and also we will prove the existence of maximal and minimal solution Volterra type nonlinear random integral equations with some applications. These types of Volterra type nonlinear perturbed random integral equations are used in various natural phenomena in which randomness occurs.
Classification : Existence of Solutions and their properties, Random Integral Equations, Applications in Abstract Spaces
Author(s) :
- SIDDHARTH GANESH SHETE (Swami Ramanand Teerth Marathwada University Nanded Maharashtra )