Dr. Mohammad Monir Uddin

Assistant Professor

Ph.D. (in Mathematics), Max-Planck Institute, Magdeburg, Germany
M.Sc. (in Applied Mathematics), Stockholm University, Stockholm, Sweden

Phone:  +880-2-55668200 ( Ext: 6212)

Email:  monir.uddin@northsouth.edu

Office :  SAC - 1025, North South University, Bashundhara, Dhaka - 1229, Bangladesh

Curriculum Vitae
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since 9/2015 Assistant professor, Department of Mathemtics & physics, North South Univarsity
5/2015 - 8/2015 Assistant prof. Dept. of Mathemtics
American International University, Bangladesh (AIUB)
8/2011 - 4/2015 Ph.D. student and member of IMPRS, Max Plank Institute for Dynamicas and Complex Technical Systems,  Magdeburg, Germany
10/2008 - 4/2011 Masters in Applied Mathematics, Department of Mathematics, Stockholm University, Sweden
5/2010 - 2/2011 Research Associate, Dept. Of Mathematics, Chemnitz University of Technology, Chemnitz, Germany
3/2006 - 10/2008 Lecturer in Mathematics, Dept. of Natural Science, Stamford University, Bangladesh
1/1998 - 12/2005 Masters and B.Sc. in Mathematics, Dept. of Mathematics, University of Chittagong, Chittagong

Full CV
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ORCID


Contact Information

Postal Address:
SAC1025,   Department Of Mathematics & Physics, North South University, Dhaka 1229, Bangladesh
Email:
monir.uddin@northsouth.edu
Phone:
+880-2-55668200 ( Ext: 6212)

Research Interests


  • Numerical Linear Algebra
  • Model Order Reduction
  • Systems and Control Theory
  • Iterative Methods for Large Sparse Matrix Equations (Silvester, Lyapunov, Riccati etc.)
  • Scienti fic Computing
  • Algorithms and software
   

 Reaserch Interest


  • Numerical Linear Algebra
  • Model Order Reduction
  • Systems and Control Theory
  • Iterative Methods for Large Sparse Matrix Equations (Silvester, Lyapunov, Riccati etc.)
  • Scienti fic Computing
  • Algorithms and software

My research interest and specialization cover a wide spectrum of Applied Mathematics and Scientific Computing. Exploiting the the knowledge of Mathematics and Scientific Computing I develop algorithms and softwares to solve  problems in different disciplines of Science, Engineering and Technology. Particularly, I am focusing on the topics mentioned above. Previously, I worked with several research groups in different world renown research institutes and universities. Being there I successfully completed several project works.

May 2010 -Feb 2011:

Research Associate in the research group of Mathematics for Industry and Technology (MIIT) headed by Prof. Dr. Peter Benner at Chemnitz University of Technology, Germany.
  • Name of the Project:'Model Reduction of Piezo Mechanical Systems'
  • Outcomes: Masters Thesis and Journal Publications
Mar 2010 - Jul 2011:

Research Associate in the Department of Mathematics at Stockholm University
  • Name of the Project: 'Eigenvalue problem of rectangular Matrix'
Aug 2010 – Feb 2011:

Research fellow in the research group: Computational Methods in Systems and Control Theory (CSC) (headed by Prof. Dr. Peter Benner), Max plank Institute for Dynamical and Complex technical Systems, Magdeburg, Germany. Here I worked on several projects
  • Name of the Projects: 1.Sparse Low-Rank Cholesky factor ADI Method 2. Model Reduction of Mechantronic Systems 3. Model Reductions of Flow Problems 4. Model Reduction of Structural Dynamics
  • Outcomes: P.hD Thesis and Journal & conferences Publications

Currently, I am leading a research Group; 'Numerical Linear Algebra Team ' at North South University. I have been awarded NSU faculty research grants 2017 for the project; “Structure Preserving Model Reduction of Large-Scale Second-Order Dynamical Systems using PDEG Method and Application to some Real Problems”. See, e.g., my Project's page for the details of the project.

 


 Team Members:     
Md. Sumon Hossain
Mphil in Mathematics, Department of Mathematics
Bangladesh University of Enineering and Technology (BUET)
Research Interests: Model Reduction of large-scale Dynamical Systems, Numerical Linear Algebra.
Email: sumonh1984@gmail.com
Shazzad Hasan
B. S. in EEE
Department of ECE, North South University (NSU)
Research Interests: Numerical Linear Algebra and appications, Approximation large-scale dynamical systems, Iterative methods, Modeling-analysis and simulation of RLC circuits
Email: shazzadraihan@gmail.com
Md. Hasan
Bachelor of Science in Computer Science and Engineering
Department of ECE, North South University (NSU)
Research Interests: Numerical Linear Algebra, Scientific Computing, Algorithms and Softwares
Email: md.hassan01@northsouth.edu
Asib Mostakim Fony
B. Sc in Mathematics
Department of Mathematics, University of Chittagong (CU)
Research Interests: Numerical Linear Algebra, Iterative solution of large-sparse Matrix Equations, Linear systems and Eigenvalue problems.
Email: asibmostakim1995@gmail.com
K.M. Faizullah Fuad
Bachelor of Science in Computer Science and Engineering
Department of ECE, North South University (NSU)
Research Interests: Scientific Computing, Algorithms and Softwares
Email: faizullah.fuad@northsouth.edu
Nuren Shams
B. S. in EEE, Department of ECE, North South University (NSU)
Research Interests: Numerical Linear Algebra, Parallel computing, Control Theory and applications
Email: nuren_shams@outlook.com

 Submitted Papers:     

  • M. Sahadat Hossain and  M. M. Uddin, Efficient techniques to solve the periodic projected Lyapunov equations and model reduction of periodic systems, Submitted to  Mathematical Problems in Engineering (under review).


 Journal Papers:

[6]  M. Sahadat Hossain and  M. M. UddinEfficient techniques to solve the periodic projected Lyapunov equations and model reduction of periodic
       systems, Mathematical Problems in Engineering, Vol. 2017 (2017), Article ID 4362641, 11 pages.

[5]  P. Benner, J. Saak, and M. M. Uddin, Structure preserving mor for large sparse second order index 1 systems and application to a mechatronic
       model, Mathematical and Computer Modelling ofDynamical Systems, Tailor & Francis,  Vol. 22 (6),  pp. 509--523, August - 2016. Also available
       from: http://www.mpi-magdeburg.mpg.de /preprints/.

[4]  P. Benner, J. Saak, and M. M. UddinBalancing based model reduction for structured index 2 unstable descriptor systems with application to flow
       control
, Numerical Algebra, Control and Optimization (AIMS), 5(1),  pp. 1-20, March - 2016.  Also Available
       from: http://www.mpi-magdeburg.mpg.de/preprints/.

[3]  M-S Hossain, and M. M. Uddin, Reduce Order Modelling of Power System Models Using Interpolatory Pro-jections Technique,
       International Journal of Modeling and Optimization 5 (3), pp. 228-233, June-2015.

[2M. M. Uddin, J. Saak, B. Kranz, and P. Benner, Efficient reduced order state space model computation for a class of second order index one
       systems, PAMM,  Vol. 12 , pp. 699–700, December -2012.

[1M. M. Uddin, J. Saak, B. Kranz, and P. Benner, Computation of a compact state space model for an adaptive spindle head configuration with piezo
       actuators using balanced truncation
, Production Engineering (Spinger), Vol. 6 (6), 2012, pp. 577–586, September - 2012.
 
 Conference papers:

[5M. M. UddinStructure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG).
      in international conference on Electrical, Computer and Communication Engineering (ECCE ), IEEE, 2017, pp. 197--202.
       ISBN 978-1-5090-5627-9.

[4M. M. Uddin,  M. Sumon Hossain and Mohammad Forhad Uddin, Rational Krylov subspace method (RKSM) for solving the Lyapunov
       equations of index-1 descriptor systems and application to balancing based model
reduction,  in  9th International Conference on Electrical
       and Computer Engineering, IEEE, 2016, pp. 451- 454.  ISBN 978-1-5090-2963-1.

[3]  P. Benner, J. Saak, and M. M. UddinReduced-order modeling of index-1 vibrational systems using interpolatory projections,
       in
19th International Conference On Computer and Information Technology (ICCIT),  IEEE, 2016, pp. 134-138.  ISBN 978-1-5090-4089-6.
     
[2]  J. Saak, M. M. Uddin, and M. Voigt, Modellreduktion fr strukturierte Index-3-Systeme, in Tagungsband  des GMA-Fachausschusses 1.30,
      Modellbildung, Identifikation und Simulation in der Automatisierungstechnik,  O. Sawodny and J. Adamy, eds., Technische Universit ̈t Darmstadt,
      Institut fo ̈r Automatisierungstechnik und  Mechatronik, 2013, pp. 180–190.

[1]  P. Benner, J. Saak, and M. M. Uddin, Second order to second order balancing for index-1 vibrational systems in 2012 7th International Conference on
      Electrical & Computer Engineering (ICECE), IEEE, 2012, pp. 933–936, ISBN 978-1-4673-1436-7.

 Others:

[1]  M. N. Uddin, M. M. Uddin and N. K. Mitra, Solution of Ordinary Differential Equations by Runge-Kutta  Methods, ASA University Review,
      Vol. 3 , pp. 699–700, 2009.

[2M. M. Uddin, Model Reduction for Piezo-Mechanical Systems Using Balanced Truncation,  QUCOSA, Germany, November - 2011. 

 Thesis:

  • PhD Thesis:
       Computational Methods for Model Reduction of Large-Scale Sparse Structured  Descriptor Systems
       PhD thesis, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany, 
       June 2015. Available from:  http://d-nb.info/1074192397/34

  • Masters Thesis:
       Model Reduction for Piezo-Mechanical System using Balanced Trancation. Master’s thesis,
       Stockholms University, Stockholm, Sweden, April 2011.
       Available from: http://www2.math.su.se/gemensamt/grund/exjobb/matte/2011/rep5/report.pdf



 Talks in International Conferences and Workshops     

  •   "Structure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG)".     
        International conference on Electrical, Computer and Communication Engineering (ECCE ) 2017, Cox's Bazar, Bangladesh; 16-18 Feb., 2017.

  • "Rational Krylov subspace method (RKSM) for solving the Lyapunov equations of index-1 descriptor systems and application
        to balancing based model reduction,  9th International Conference on Electrical  and Computer Engineering (ICECE) 2016,
        Dhaka, Bangladesh, 20-22 Decem, 2016.

  • "Reduced-order modeling of index-1 vibrational systems using interpolatory projections", 19th International Conference On Computer and Information Technology (ICCIT)2016,  Dhaka, Bangladesh,  18-20 Decm.,  2016.

  • "Two Competitive techniques for Reduced State Space Modeling of Time-Invariant Large-Scale Continuous-Time stems",
         19th International Math Conference 2015, Dhaka, Bangladesh, 18-20 December 2015.

  • Balancing Based Model Reduction of Unstable Descriptor Systems”,  7th IMPRS Workshop 2014, Wernigerode,Germany; 23-25 April, 2014.

  •  “Dimension Reduction of Large-Sparse Second Order Descriptor Systems”,  6th IMPRS Workshop 2013, Wittenberg, Germany; 8-9 April, 2013.

  • Second Order to Second Order Balancing for Index-1 Vibrational Systems”,  7th International Conference on Electrical & Computer Engineering (ICECE), Dhaka, Bangladesh; 20-22 December, 2012.

  • Efficient Methods for Reduced Order State Space Modeling of Piezo-Mechanical Systems”,  GAMM Work-shops 2012: Dynamics and Control, Anif/Salzburg, Austria, 18-21 September, 2012.

  • Model Reduction of Mechanical Systems with Piezo Actuators Using Balanced Truncation”,  CSC seminar, MPI Magdeburg, Magdeburg, Germany, 07 February, 2012 .

  •  “Model Reduction for Piezo-mechanical Systems Using Balanced Truncation”, Stockholm University, Stock-holm, Sweden, 29 April, 2011.

 Participation in Conferences, Workshops and Summer School:     

  • 3rd Symposium of the German SIAM Student Chapters”,  MPI Magdeburg, Germany, 18-19 August 2014.
  • Model Reduction of Complex Dynamical Systems 2013”,  MPI-Magdeburg, Germany, 11-13 December 2013.  
  • 3rd Summer School of the IMPRS Magdeburg for Analysis, Design, and Optimization in Chemical and Bio-chemical Process Engineering on
       MULTISCALE MODELING AND SIMULATION”, Magdeburg, Germany,   02-06 September 2011.
  
  • Workshop on Non-linear Model Order Reduction 2012”,  Schloss Ringberg Tegernsee, Germany, 6-9 May 2012.
  • 4th Elgersburg School 2012 on systems and control theory and its applications”,  Elgersburg , Germany, 11-17 March 2012.
  •  “2nd summer school of the IMPRS ProEng on large scale networks and Engineering and life science”,  Magde-burg, Germany, 26-30 September 2011.

   Poster Presentation:     


  • M. M. Uddin, Structure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG).
      International conference on Electrical, Computer and Communication Engineering (ECCE ) 2017, Cox's Bazar, Bangladesh; 16-18 Feb., 2017.

  • M. I. Ahmad, J. Saak, M. M. Uddin, and M. Voigt, Model Order Reduction for Structured Second Or-der DAE System, Workshop on Non-linear Model Order Reduction 2014, Schloss Ringberg  gernsee, Germany, June 2014.

  • J. Saak, and M. M. Uddin, Balanced Truncation for unstable linearized Navier-Stokes Systems, Workshop on Non-linear Model Order Reduction 2014, Schloss Ringberg Tegernsee, Germany,  June 2014.

Advance Linear Control System


Course Code EEE-522
Credit 3
Textbook

Mathematical Control Theory Deterministic Finite Dimensional
Systems Authors: Eduardo D. Sontag.

Objective
Course Content 1. A brief introduction to linear control systems and their   classifications, important definitions, theorems and notations.
2. System’s modeling and various representations of them.
3. Response (Solution) of linear control systems in both the time and frequency domain.
4. System’s Gramians and their applications, controllability, observability and reachability.
5. Realizations of systems, minimal realizations, balancing techniques.
6. Reduced order modeling of LTI systems.
7. Controller design; Riccati based optimal feedback control of linear systems.

Calculus and Analytical Geometry IV


Course Code Mat-250
Credit 3
Textbook

Calculus: Early Transcendental; Anton, Bivens and Davis, 10th Edition

Objective
Course Content

Partial Derivatives: Functions of two variables, Limit and Continuity, Partial Derivatives, Differentiability and Chain Rule,Directional Derivatives, Tangent planes and normal vector, maxima and minima.

Multiple Integrals: Double Integrals over rectangular and non-rectangular regions, Double Integrals in Polar Coordinates, Triple Integrals: Cartesian, Cylindrical and spherical coordinates, Change of variables in Multiple Integrals: Jacobean.

Vector Calculus: Vector fields, Line integrals, Green’s theorem, Surface Integrals, Divergence theorem, Stokes Theorem.

Elementary Linear Algebra


Course Code Mat-125
Credit 3
Textbook Elementary Linear Algebra By Howerd Anton ( 9th Edition)
Objective
Course Content System of Linear Equations and Matrices:Introduction to System of Linear Equations, Gaussian Eliminations,  Matrices and Matrix Operations,  Inverse; Rules of Matrix Arithmetic, Elementary Matrices and a Method for Finding inverse of Matrix, Further Results on Systems of Equations and Invertibility, Diagonal, Triangular and Symmetric Matrices.

Determinants: Determinant by Cofactor Expansion, Evaluating Determinants by Row Reduction, Properties of Determinant Function.
Euclidean Vector Spaces: Euclidean n-space, Linear Transformation.
General Vector Spaces: Real Vector Spaces, Subspaces, Linear Independence, Basis, Dimension, Solution Space and Null Space,  Row Space, Column Space and Null Space,  Rank and Nullity.

Eigenvalues and Eigenvectors: Eigenvalues and Eigenvectors, Diagonalization





Planning for Summer 2017

Day

Class Hours

Office Hours


ST

1:00pm2:30pm (MAT250/5) SAC-211

4:20pm – 5:50pm (MAT250/6) SAC-211

11:00am-1:00pm

3:00pm-4:00pm



MW

11:20am12:50pm (MAT125/6) SAC-313

1:00pm2:30pm (MAT250/7) SAC-313

4:20pm – 5:50pm (MAT250/8) SAC-313


3:00pm-4:00pm

3:00pm-4:00pm

  • ST=Sunday and Tuesday, MW: Monday and Wednesday.

  • Students (of all sections) are allowed for counseling at any time during the office hours.


   Poster Presentation:    
  
 Current Projects

  • Structure Preserving Model Reduction of Large-Scale Second Order Dynamical Systems Using the PDEG Method and Application to Some Real Problems

Funded by:
North South University (NSU) Faculty Research Grants

Director:
 Dr. Mohammad Monir Uddin (monir.uddin@northsouth.edu)

Runtime:
 
Since January 2017

Objective: In many real-world applications, e.g.,  in Mechanics, structural dynamics,  mechatronics and electric circuits the mathematical models are represented by second-order Linear time-invarient (LTI) Dynamical Systems. If the model is very large, performing the simulation with it has prohibitively expensive computational effort, or is simply impossible due to the limited  computer memory. Therefore, reducing the size of the system is unavoidable for fast simulation. The way to replace a large-scale system by a substantially lower-demensional model is called model order reduction (MOR). A classical approach to  find a reduced order model (ROM) of second order systems is first to rewrite the systems into first-order form, then apply model order reduction techniques to find reduced state space systems. Now the question arises: can we return to the second order form from the reduced systems? In general, the answer is negative since the  structure of the original model is destroyed in the reduced order form.
Sometimes, the preservation of second order structure in the reduced systems is essential to perform the simulation, optimization and controller design if the software tools are specially designed for second order systems. Moreover, structure preserving reduced models allow meaningful physical interpretation and provide more accurate approximation. For some obious reasons sometimes some special properties of the system such as; symmery, passibity and definiteness are to be preserved.  This research will contribute to find a method for structure preserving i.e., the second-order-to-second-order model reduction of second-order system which preserves these important properties of the system. The method is based on projection the system onto the dominant eigen space of the Gramians of the system.

Researchers:

Shazzad Hasan
B. S. in EEE, Department of ECE, North South University (NSU)
Research Interests: Numerical Linear Algebra and appications, Approximation large-scale dynamical systems, Iterative methods, Modeling-analysis and simulation of RLC circuits
Email: shazzadraihan@gmail.com
Md. Hasan
Bachelor of Science in Computer Science and Engineering
Department of ECE, North South University (NSU)
Research Interests: Numerical Linear Algebra, Scientific Computing, Algorithms and Softwares
Email: md.hassan01@northsouth.edu

Outcomes:

  • Publications
[1]  M. M. Uddin, Structure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG). in international conference on Electrical, Computer and Communication Engineering (ECCE ), IEEE, 2017, pp. 197--202.  ISBN 978-1-5090-5627-9.

  • Talks or Presentations
[1] M. M. Uddin, Structure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG). International conference on Electrical, Computer and Communication Engineering (ECCE ) 2017, Cox's Bazar, Bangladesh; 16-18 Feb., 2017.

  • Computational Methods for Approximation of Large-Scale Descriptor Systems

 
 Past Projects

I was a researcher of the following projects

  • Model Reduction of Piezo Mechanical Systems: May 2010 -Feb 2011, In the research group of Mathematics for Industry and Technology (MIIT) at Chemnitz University of Technology, Germany.
  • Sparse Low-Rank Cholesky factor ADI Method: Aug 2010 – June 2015, In the research group Computational Methods for Systems and Control Theory (CSC), Maxplank Institute for Complex Dynamical Systems, Magdeburg, Germany.
  •  Model Order Reduction for Mechanical Systems with Piezo Actuators: September 2010 - June 2015, In the research group Computational Methods for Systems and Control Theory (CSC), Maxplank Institute for Complex Dynamical Systems, Magdeburg, Germany.


Structure Preserving Model Reduction of Large-Scale Second Order Dynamical Systems Using the PDEG Method and Application to Some Real Problems
  • Since 2017-
Editoral Board member of International Journal of Research Innovations in Mathematics and Sciences (IJRIMS)
  • 2012 -  2015
Internatinal Max Plank Research School ProEng Magdeburg, Germany,
  • 2012 - 2015
Society of Industrial and Applied Mathematics (SIAM) Student- Chapter, Magdeburg, Germany,since 2012
  • 2013 - 2014:
SIAM academic member, Philadelphia USA, since 2012
  • 2012 - 2015
Magdeburg International PhD Students, Magdeburg, Germany,
  • 2013 - 2015
Matrix Equations Team at MPI Magdeburg, Magdeburg, Germany,





I am intending to upload some softwares (Matlab and Python based) related to my research work.

If you require any softwares related to my work please dont hesitated to contact with me:

monir.uddin@northsouth.edu

 RECENT UPDATES:     

 
◉ Research Grant

I have received the NSU Faculty Research Grant 2016-2017 on the project "Structure Preserving Model Reduction of Large-Scale Second Order Dynamical systems using the PDEG Method and Application to some Real Problems". We will start from March 1, 2017.

  ◉ Best Paper Award

One of our research articles titled "Rational Krylov subspace method (RKSM) for solving the Lyapunov equations of index-1 descriptor systems and application to balancing based model reduction" has received a Best Paper Award (1st position) in ICECE 2016.

 

 UPCOMING INTERNATIONAL CONFERENCES 

Assistant Professor

Ph.D. (in Mathematics), Max-Planck Institute, Magdeburg, Germany
M.Sc. (in Applied Mathematics), Stockholm University, Stockholm, Sweden

Phone:  +880-2-55668200 ( Ext: 6212)

Email:  monir.uddin@northsouth.edu

Office :  SAC - 1025, North South University, Bashundhara, Dhaka - 1229, Bangladesh

Curriculum Vitae
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