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RESEARCH

Sponsored Research (Summer 2005)                       

Research project on “Implementation of Positivity- preserving Padé Schemes on the model of radioactive elements. “. This project was sponsored by DoA USA.

Other Research Activities

  • Reviewed a paper “ Recovering a Time Dependent Coefficient in a Parabolic Equation from Over specified Boundary Data Using the Pseudospectral Legendre Method” by M. Shamsi & M.  Dehghan   MIXED REVIEWS SHAMSII, DEHGHAN 5-4-05 PRODUCTION NO: 1071 for the Journal, Numerical Methods for Partial Differential Equations.

  • Reviewed a paper "Parallel Algorithm to Simulate the Flow in Three-Dimensional Heterogeneous Fractured" Manuscript ID: GCOM-2006-0210 by H. Mustapha,A. Ghorayeb and K. Mustapha for the International Journal of Computer Mathematics UK. ijcm@tandf.co.uk

  • Reviewed a paper "Explicit Finite Difference Schemes Adapted to Advection-Reaction
    Equations" Manuscript ID GCOM-2006-0155     by Vigo Aguiar     for the International Journal of Computer Mathematics UK. ijcm@tandf.co.uk

  • Reviewed a Book “ Calculus for the Managerial, Life and Social Sciences by S. T. Tan Seventh Edition. Review was submitted on September 21, 2006.

PROFESSIONAL ACTIVITIES:

  1. Member American Mathematical Society (AMS)

  2. Member Society of Industrial and Applied Mathematics (SIAM)

  3. Member International Scientific Committee, World Academy of Science, Engineering and Technology (WASET)

  4. Member Scientific and Technical Committee & Editorial Review Board on Natural and Applied Sciences,    World Academy of Science, Engineering and Technology (WASET)

  5. Member IAENG Society of Scientific Computing

  6. Co Chair Session on Disciplinary Research and Development in the2nd International Multi-Conference on Engineering and Technological Innovation: (IMETI 2009) July 10th - 13th, 2009 – Orlando, Florida, USA. 

  7. Member Organizing Committee ICNAAM 2010

 

INTERNATIONAL / NATIONAL CONFERENCES   

 

         

    YEAR 2010  

  1. Organizing an Invites session on  Recent Advances and Research in Finite Difference Schemes for Ordinary and Partial Differential Equations in The 8th International Conference on Computing, Communications and Control Technologies (CCCT 2010),  Orlando, FL, April 6 -9, 2010

  2. Organizing a Symposium on Advances in Numerical Partial Differential Equations in the International Conference on Computational Mathematics (ICCM 2010), May 26 - 28, 2010, Tokyo, Japan.

  3. Organizing an Invited Session on Mathematical Modeling and Numerical Methods in Ecology and Environmental Sciences in  The 3rd International Multi-Conference on Engineering and Technological Innovation: IMETI 2010, June 29th - July 2nd, 2010 – Orlando, Florida, USA.

  4. Organizing a Workshop on  Using Maple to Visualize Mathematical Concepts in the 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010). Hotel Rodos Palace, 

     Rhodes, Greece, 19-25 September 2010

  5. Organizing a Symposium on PDEs: Modeling, Analysis & Numerical Methods in the International Conference on Computational & Applied Mathematics  (ICCAM 2010), December 29 - 31, 2010, Bangkok, Thailand.

   YEAR 2009 

  1. Organized and Chaired an Invited session on Maple Workshop in the 7th International Conference on Numerical Analysis and Applied Mathematics   (ICNAAM 2009), September 18–22, 2009 – Athens, Greece.  

  2. Organized an Invited session on Numerical Methods for Parabolic PDEs with Irregular Data in IMACS World Congress. Computational and Applied Mathematics &. Applications in Science and Engineering. August 3–7, 2009. The University of Georgia, Athens, GA, USA.  

  3. Organized and Chaired an Invited session on Scientific Computing and Mathematical Modeling in Sciences and Technology in the 7th International Conference on Computing, Communications and Control Technologies:  (CCCT 2009), July 10th - 13th, 2009 – Orlando, Florida, USA.

  4. Invited session on Imaging Processes  in the 2nd International Multi-Conference on Engineering and Technological Innovation: (IMETI 2009) July 10th - 13th, 2009 – Orlando, Florida, USA.   

  5. Invited Session on Numerical Methods and Algorithms in 2009 World Congress on Computer Science and Information Engineering (CSIE 2009), March 31 - April 2, 2009, Los Angeles/Anaheim, USA.

    YEAR 2008 

  1. Organized and chaired an Invited session on Mathematics and Computing Technologies in the 7th International Conference on Computing, Communications and Control Technologies:  (CCCT 2008),  (June 29 - July 2, 2008).

    YEAR 2007

  1. Organized and Chaired an Invited session on Computational Science Education in the 7th International Conference on Computational and Mathematical Methods in Sciences and Engineering CMMSE 2007 (June, 2007) at Illinois Institute of Technology Chicago, Illinois.  

    YEAR 2006

 

    1.    Organized Maple workshop for Mathematics Faculty and Engineering Students at EWC, March 2006.

    YEAR 2005

 

    1.  AMS/MAA Joint Meetings in Atlanta, GA January 5 – 8, 2005.

 

    YEAR 2003

         

    1.  Workshop on the use of technology in Mathematics curriculum organized by Educo International Inc. at

         Clark Atlanta University, Atlanta, GA (March, 2003).

 

    YEAR 2000

  1. I M A C S  (May 25 –27, 2000) University of Wisconsin Milwaukee, Milwaukee, Wisconsin.

  2. Midwest Numerical Analysis Day  (March 17 – 19, 2000) IUPUI, Indiana.

    YEAR 1999

  1. Conference on Parallel Computation (May 22 – 26, 1999) Mississippi State University, Starkville, Mississippi. 

  2. Midwest Numerical Analysis Day (April, 1999) Illinois Institute of Technology Chicago Illinois.

    YEAR 1998

  1. SIAM International Conference (July 9 – 14, 1998) University of Toronto, Toronto, Canada.

    YEAR 1997

  1. Midwest Numerical Analysis Day (April, 1997) Iowa State University, Ames, Iowa.

 

  INVITED / CONTRIBUTED TALKS

 

    YEAR 2010

 

  1. Invited talk on Using Maple to Visualize Mathematical Concepts in the 8th International Conference on Numerical Analysis and Applied Mathematics   (ICNAAM 2010), Hotel Rodos Palace, Rhodes, Greece,    19 – 25,  September 2010. 
  2. Invited Talk on Rannacher Scheme for Two –Dimensional Diffusion Equations with Nonlocal Boundary Specification and Irregular Data, University of Harvard, Cambridge, USA, January 27-29, 2010.

    YEAR 2009

  1. Invited talk on “Smoothing of Crank-Nicolson Scheme for Inhomogeneous Parabolic Partial Differential Equation with Nonlocal Boundary Conditions”, 2009 World Congress on Computer Science and Information Engineering (CSIE 2009), March 31 - April 2, 2009, Los Angeles/Anaheim, USA.
  2. Invited talk on “Positivity Preserving Padé Schemes for Parabolic Partial Differential Equation with Nonlocal Boundary Conditions”, The 2nd International Multi-Conference on Engineering and Technological Innovation: (IMETI 2009) July 10th - 13th, 2009 – Orlando, Florida, USA.   
  3. Invited talk on Maple and Teaching Mathematics in the 7th International Conference on Numerical Analysis    and Applied Mathematics   (ICNAAM 2009), September 18–22, 2009 – Crete, Rethymno, Greece.   

   YEAR 2008

  1. Invited talk on “Maple Animation A Powerful Means of Demonstrating Mathematical Concepts”  in International Conference on Computation, Communication and Control Technologies (CCCT 2008) June 29 - July 2, 2008).

   YEAR 2007

  1. Invited talk on “Maple Animation Capabilities and Teaching Mathematics”  in CMMSE 2007 (June, 2007) at Illinois Institute of Technology Chicago, Illinois.

    YEAR 2006

  1. Invited Talk on Padé Approximations and Parabolic PDEs at University of North Florida, April 2006.
  2. Talk on Applications of Quadratic equations at Purdue University North Central, January 2006.
  3. Talk on Padé Approximations to the Matrix Exponential at Purdue University North Central, January 2006.

   YEAR 2005

  1. Talk on 101 uses of Quadratic equations at Kent State University, Ohio July 2005.
  2. Talk on Applications of Calculus in Physics at JU, Jacksonville March 2005.

   YEAR 2003

  1. Contributed Talk on “Smoothing with Positivity-Preserving Padé Schemes for parabolic problems under Non Smooth Data situation (homogenous case) ” in Midwest Numerical Analysis Day  (April 18, 2003) WIU, Macomb, Illinois.

    YEAR 1998

  1. Contributed Talk on “Rosenbrock Methods for Stiff Ordinary Differential Equations” in the Midwest Numerical Analysis Day  (April, 1998) WIU, Macomb, Illinois.

PUBLICATIONS (PEER-REVIEWED / REFEREED JOURNALS)  

  1. Mohammad Siddique, "Smoothing of Crank-Nicolson Scheme for the  Two-dimensional Diffusion with an Integral Condition", Journal of Applied Mathematics and Computation, Volume 214, Issue 2, Pages 512 – 522, August, 2009.

  2. Mohammad Siddique, "L◦– Stable Padé Schemes for 2D Parabolic Problems with Nonlocal Boundary Condition (Preprint).

  3. Mohammad Siddique, “Positively Smoothed Padé Schemes For Parabolic Partial Differential Equations with Nonlocal Boundary Conditions” (Under Review).

  4. Mohammad Siddique, "Smoothing of 2D Parabolic Problems with Nonlocal Boundary Condition via L◦ –  Stable Padé Schemes" (Under Review).

  5. Mohammad Siddique, “A comparison of Numerical Schemes for the solution of Two-Dimensional Diffusion    Equation with Nonlocal Boundary Conditions” (Under Review).

  6. Mohammad Siddique, “A comparison of 3rd Order L◦ – Stable Padé Schemes for the solution of Two-Dimensional Diffusion    Equation with Nonlocal Boundary Conditions” (Accepted Int. J.  Appl. Math. Sc.).

  7. Mohammad Siddique, Bruce Wade, A. Q. M. Khaliq and Mohammad Yousuf  “Smoothing With Positivity-Preserving Padé Schemes For Parabolic Problems With Nonsmooth Data” Numerical Methods for Partial Differential Equations Volume 21,  Issue 3 , Pages 553 – 573, 29, Sep 2004.

  8. Mohammad Siddique, PhD Thesis,  Smoothing with positivity-preserving Padé schemes for parabolic problems  with nonsmooth data.2002. (Mathematical Sciences), QA 10000. S5683x 2002.

  9. Mohammad Siddique, Master’s Thesis entitled “Rosenbrock Methods For Stiff ODEs.” 

   

 

INTERNATIONAL CONFERENCES AND PROCEEDINGS (PEER-REVIEWED/ REFEREED) 

  

  1. Mohammad Siddique “Rannacher Scheme for Two –Dimensional Diffusion Equations with Nonlocal     Boundary Specification and Irregular Data”, accepted for Presentation in AMERICAN CONFERENCE         ON APPLIED MATHEMATICS (AMERICAN-MATH '10),  University of Harvard, Cambridge,            USA, January 27-29, 2010

  2. Mohammad Siddique “Positivity Preserving Padé Schemes for Parabolic Partial Differential        Equation with Nonlocal Boundary Conditions”, accepted for publication in the International Multi -  Conference on Engineering and Technological Innovation (IMETI 2009), July 10-13, 2009.((                (Recipient of Session's Best Paper Award).

  3. Mohammad Siddique “Smoothing of Crank-Nicolson Scheme for Inhomogeneous Parabolic               Partial Differential Equations with Nonlocal Boundary Conditions”, published in the 2009 World      Congress on Computer Science and Information Engineering (CSIE 2009) proceedings, March 31 –               April 2, 2009.

  4. Mohammad Siddique “Maple Animation A Powerful Means of Demonstrating Mathematical          Concepts”, International Multi-Conference on Engineering and Technological Innovation (IMETI 2008),     Proceedings, Volume III, Post-Conference Issue, June 29 - July 2, 2008, Pages 74 - 79.

  5. Mohammad Siddique “Maple Animation Capabilities and Teaching Mathematics”  in The 7th     International Conference on Computational Mathematical Methods in Engineering and Sciences                (CMMSE 2007), Proceedings (20 -23 June, 2007), Illinois Institute of Technology Chicago, Illinois.

  6. Mohammad Siddique, Bruce Wade and A. Q. M. Khaliq “Some New Damping Schemes for                 Parabolic Problems with Nonsmooth Data” International Conference on Computational and                Mathematical Methods   in Science and Engineering (CMMSE 2002) September 20 - 25, 2002,         ALICANTE (SPAIN), Vol. I, page 366.  

 

      

             

Numerical Results of Two Dimensional Diffusion Problems with Nonlocal Boundary Conditions

 

Problem 1

Problem 2

Problem 3

Problem 4