Education

A. In IIT Bhubaneswar: i) (B.Tech. Courses): Mathematics-I, Mathematics-II. ii) (M.Sc. Courses): Ordinary Differential Equations, Partial Differential Equations, Optimization Techniques LAB. iii) (M.Tech. Courses): Mathematical Methods . B. Calculus-II (MTH 133) in Michigan State University, Numerical Analysis and MATLAB programming in University of Geneva.

Gobinda Garai (Completed, 2024), Soura Sana, Deeksha Tomer

1. A Time-Dependent Dirichlet-Neumann Method for the Heat Equation, Mandal BC, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Vol. 98, Springer-Verlag, p. 467- 475, 2014.
2. Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation, Gander MJ, Kwok F, Mandal BC, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Vol. 104, Springer-Verlag, 2015.
3. Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms for Parabolic Problems, Gander MJ, Kwok F, Mandal BC, Electronic Transactions on Numerical Analysis, Vol. 45, p. 424-456, 2016.
4. Neumann-Neumann Waveform Relaxation Algorithm in Multiple Subdomains for Hyperbolic Problems in 1D and 2D, Mandal BC, Numerical Methods for Partial Differential Equations, DOI 10.1002/num.22112, 2016 (arXiv:1507.04008).
5. Pipeline Implementations of Neumann-Neumann and Dirichlet-Neumann Waveform Relaxation Methods, Mandal BC, Ong BW, Numerical Algorithms, DOI:10.1007/s11075-017-0364-3, 2017, (arXiv:1605.08503).
6. Dirichlet-Neumann Waveform Relaxation Method for the Heat and Wave Equations in Multiple subdomains, Gander MJ, Kwok F, Mandal BC, to appear, (arXiv:1507.04011).
7. Convergence of Substructuring Methods for Elliptic Optimal Control Problems, Gander MJ, Kwok F, Mandal BC, Domain Decomposition in Science and Engineering XXIV, LNCSE, Springer-Verlag 2017.
8. Substructuring Waveform Relaxation Methods for Parabolic Optimal Control Problems, Mandal BC, SocProS2017, AISC, Vol. 817, Springer-Nature, p. 485-494, 2019.
9. Convergence of Substructuring Domain Decomposition Methods for Hamilton-Jacobi Equation, Mandal, B.C., M3HPCST, to appear in Springer, 2020
10. Substructuring Waveform Relaxation Methods for time-variable relaxation parameter, Mandal BC, Sana S, ICMC2020, to appear in Springer, 2020.

1. Talk : Convergence Behavior of DNWR and NNWR methods for Space-time PDEs and Their Application to Optimal Control Problems; April ’15, Applied Mathematics Seminar, Department of Mathematical Sciences, Michigan Technological University, USA.
2. Talk : Convergence of Substructuring Methods for Optimal Control Problems with PDE Constraints; April ’14, Swiss Numerical Colloquium, Zurich, Switzerland.
3. Talk : Dirichlet-Neumann Waveform Relaxation for the time Dependent Heat Equation; April ’12, Swiss Numerical Colloquium, Bern, Switzerland.
4. Talk : Pipelined Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Methods for Parabolic Problems; March ’16, Applied Mathematics Seminar, Department of Mathematical Sciences, Michigan Technological University, USA.
5. Invited Talk : Domain Decomposition Methods for Hamilton-Jacobi Equations; October ’15, Applied Mathematics Seminar, Department of Mathematical Sciences, Michigan State University, USA.
6. Talk : Substructuring Waveform Relaxation Methods for the Wave Equation; September 16-20 ’13, 22nd International Domain Decomposition Methods Conference, USI, Lugano, Switzerland.
7. Talk : Dirichlet-Neumann Method for the Time-Dependent Problems; September 1-6 ’13, Domain Decomposition Methods for Optimization with PDE Constraints, Ascona, Switzerland.
8. Talk : Dirichlet-Neumann Waveform Relaxation for the time Dependent Heat Equation; June ’12, 21st International Domain Decomposition Methods Conference, INRIA, Rennes, France