IIT Bhubaneswar

IIT Bhubaneswar
Dr. Bankim Chandra Mandal

Dr. Bankim Chandra Mandal

Assistant Professor
Degree Discipline Year School
  Ph.D. Numerical Analysis and PDEs 2014 University of Geneva, Switzerland

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.

Numerical Analysis, Scientific Computing, Partial Differential Equations, Domain Decomposition Methods

Recent Publications (International Journals)
  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.

 

Conferences (International)
  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
  • 2015-2016 : Postdoctoral Research Fellow at Michigan Technological University, USA.
  • 2016-2017 : Research Associate at Michigan State University, USA.
  • Teaching Excellence Award 2019, IIT Bhubaneswar
  • Best Paper Award in SocProS Conference
  • Gold medalist in B.Sc. for obtaining Highest marks in Mathematics (Hons.) in Calcutta University, India.
  • Awarded with Merit Scholarship by National Board of Higher Mathematics (NBHM) during M.Sc. in IIT Bombay.
  • Awarded with Student Research Fellowship by Indian Academy of Sciences (IAS) for doing a summer internship in Indian Institute of Technology, Madras.
  • Secured All India Rank – 3 in CSIR-NET in Mathematics (June, 2010).
  • Secured All India Rank – 12 in GATE in Mathematics (2010).
Sponsored Projects
1. SEED Fund from IIT Bhubaneswar (2018-2020): 9.90 Lakhs
2. DST-SERB SRG (2019-2021): 29.49 Lakhs

Soura Sana, Gobinda Garai

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