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[CT065]

CT065 (1/1) : Existence theories in calculus of variations and optimal control (49J) / Nontrigonometric harmonic analysis (42C) / Distribution theory (60E)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : In this talk, we shall present a-posteriori error estimates for the fully discrete finite element approximation to the optimal control problem governed by parabolic partial differential equations where the control is acting on lower dimensional manifolds. We use piecewise linear and continuous finite elements for the approximations of state and adjoint variables whereas piecewise constant functions are employed to approximate the control variable. Moreover, the time derivative is approximated by using the backward Euler scheme. We derive a-posteriori error estimates for the various dimensions of the manifold. Numerical results reveal the effectiveness of the error estimators.
Classification : 49J20, 49K20, 65N15, 65N30
Format : Talk at Waseda University
Author(s) :
- Rajen Kumar Sinha (Indian Institute of Technology Guwahati)
- Ram Manohar (Indian Institute of Technology Kanpur)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : This talk aims to present a priori error analysis for linear parabolic interface problems with measure data in time in a bounded convex polygonal domain in $R^2$. Both the spatially discrete and the fully discrete approximations are analyzed. Due to the low regularity of the solution, the convergence analysis of such problems become challenging. A priori error bounds in the $L^2(L^2(\Omega))$-norm for both the spatially discrete and the fully discrete schemes are derived under the minimal regularity assumption the solution together with the $L^2$-projection operator and the duality argument. Numerical results are reported to support the theoretical analysis.
Classification : 49J20, 49K20, 65N15, 65N30
Format : Talk at Waseda University
Author(s) :
- Jhuma Sen Gupta (BITS Pilani Hyderabad)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : We present, in our talk, an alternative version of the convolution and duality formula, and we give some results on functions and distribution spaces for the general double-sided orthogonal planes split quaternion Fourier transform. We provide the discrete representation of Z2−periodic function for continuous quaternion Wavelet transform. Finally, we prove the Plancherel and inversion formulas for the continuous General double-sided orthogonal 2D−planes split quaternionic Wavelet transform.
Classification : 42C40, 42B10, 14D21
Format : Online Talk on Zoom
Author(s) :
- Hakim Monaim (Moulay Ismail University)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : Currently, the Indonesian government has made various efforts to reduce the number of Covid-19 cases, one of which is through administering vaccines. This study aims to model the interplay between the number of Covid-19 cases and the number of citizens who have been vaccinated, especially in term of the temporal relationship, using the time-varying copula approach.
Classification : 60Exx, 62Hxx, 62Pxx, Multivariate Modeling, Copula Modeling
Format : Online Talk on Zoom
Author(s) :
- Atina Ahdika (Universitas Islam Indonesia)

Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : In this talk, we will present a fractional generalization of the Lah-Bell polynomials and the Lah numbers associated to the fractional Poisson probability distribution. We derive the exponential generating functions in terms of the Mittag-Leffler function along with some convolution identities. These identities are the natural extension of several well-known identities available in literature. Finally, applications to compound Poisson process, Mittag-Leffler function, and the Laguerre polynomials are also presented.
Classification : 60E05, 05A19, 26A33, 11C08, 05A17
Format : Online Talk on Zoom
Author(s) :
- Ritik Soni (Central University of Punjab)
- Ashok Kumar Pathak (Central University of Punjab)