Dr. Bankim Chandra MandalAssistant Professor
School of Basic Sciences

Research Interests

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

Brief Resume

Contact Details

  • SBS 333
  • 0674-713-5160
  • bmandal(AT)iitbbs(DOT)ac(DOT)in

Other Profile Link(s)

Education

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

Biosketch

 

Teaching

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.

 

Recent Publications (International Journals)

1A 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.
2Dirichlet-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.
3Dirichlet-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.
4Neumann-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).
5Pipeline 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).
6Dirichlet-Neumann Waveform Relaxation Method for the Heat and Wave Equations in Multiple subdomains, Gander MJ, Kwok F, Mandal BC, to appear, (arXiv:1507.04011).
7Convergence 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.
8Substructuring Waveform Relaxation Methods for Parabolic Optimal Control Problems, Mandal BC, SocProS2017, AISC, Vol. 817, Springer-Nature, p. 485-494, 2019.
9Convergence of Substructuring Domain Decomposition Methods for Hamilton-Jacobi Equation, Mandal, B.C., M3HPCST, to appear in Springer, 2020
10Substructuring Waveform Relaxation Methods for time-variable relaxation parameter, Mandal BC, Sana S, ICMC2020, to appear in Springer, 2020.

Conferences (International)

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

Academic Honors & Awards

  • 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).
 

Research Scholar

Soura Sana, Gobinda Garai
 

Sponsored Projects

1. SEED Fund from IIT Bhubaneswar (2018-2020): 9.90 Lakhs
2. DST-SERB SRG (2019-2021): 29.49 Lakhs

Professional Experience

  • 2015-2016 : Postdoctoral Research Fellow at Michigan Technological University, USA.
  • 2016-2017 : Research Associate at Michigan State University, USA.

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