Hello!
I'm Neela Nataraj and I teach math at IIT Bombay.

Career

  • Lecturer at Institute of Technology and Management, Gurgaon (August 1998 - June 1999)
  • Senior Lecturer at Indraprastha University, Delhi (June 1999 - December 1999)
  • Senior Lecturer at Indian Institute of Technology Delhi (December 1999 - April 2002)
  • Assistant Professor at Indian Institute of Technology Delhi (April 2002 - June 2003)
  • Assistant Professor at Indian Institute of Technology Bombay (June 2003 - February 2009)
  • Associate Professor at Indian Institute of Technology Bombay (February 2009 - August 2014)
  • Professor at Indian Institute of Technology Bombay (September 2014 - present)

Specialization

Numerical Analysis, Finite Element Methods

Education

Received Ph. D. from Department of Mathematics, IIT Delhi in 1998 on Mixed Finite Element Analysis of Fourth Order Elliptic Source/Eigenvalue Problems in Convex Domains after graduating with Masters from Department of Mathematics, University College, Thiruvananthapuram, Kerala (1990).

Students

I had the privilege of teaching a great many students in my career who made teaching a wonderful learning experience for me. It would be impossible to name all of them, but here is a shorter list of students I have worked more closely with.

Currently supervising following students' doctoral research

  • Gouranga Malik on Finite Element Methods for Von Karman Equations
  • Devika S. on Numerical methods for elliptic PDE and optimal control problems with Professor J´erˆome Droniou (Joint supervisor, Monash University)

Also supervised following students' doctoral research

Supervised following students' Masters research:

  • Shreyas Kirwai on Mathematical modeling of hot forging die wear (2011, co-supervised by Professor Amiya K. Pani and Mukund Mavalankar)
  • Bibekanda Maji on Discontinuous Galerkin Methods (2010)
  • Debabrata Das on Multigrid Methods (2008)
  • Priyanka Sadhani on Finite Element Methods for solving integro-differential equations (2007)
  • Deepak Sharma on Finite Volume Methods for PDEs (2005)
  • Kshitij Kulshreshtha on A parallel mixed finite element implementation for approximation of fourth order elliptic source problem using DD approach and approximation of eigenvalues of fourth order elliptic eigenvalue problems using the Lanczos method (2003)
  • Yogesh Joshi on Implementation of Lanczos method for solving eigenvalue problems (2003, co-supervised by Niladri Chatterjee [IITD])
  • Aditya Kumar on Computer Implementation of Argyris element (2001)

Mentored post-doctoral research for Dr. Divya Venkatraman during April 2014-October 2014 and Dr. Shalini Baskar between April 2007 and April 2009.

Project Positions 2014

Following position is currently available for a DST project entitled Finite Element Methods for Parameter Identification Problems in Partial Differential Equations for students with following qualifications:

  • RA: Fresh Ph.D. in the broad area of Numerical Analysis
You can find the memorandum here (PDF). Interested students may send me an email at neela@math.iitb.ac.in

Projects

I have undertaken the following sponsored research projects:

  • Finite Element Methods for Parameter Identification Problems in Elliptic Partial Differential Equations - M. T. Nair, A. K. Pani as Co-PIs
  • National Programme on Differential Equations: Theory, Computation & Applications (Co-PI) sponsored by Department of Science and Technology, India with approximately 5 crores grant for 5 years from 2012
  • Theoretical and Computational Studies of Kelvin - Voigt model of viscoelastic fluids (Co-PI) sponsored by Department of Science and Technology, Indo-Brazil Project with approximately 9 lacs grant for 3 years from 2009
  • The Oldroyd model of viscoelastic fluids- Theoretical and Computational Studies (Co-PI) sponsored by Department of Science and Technology, India with approximately 20 lacs grant for 3 years from 2008
  • A parallel mixed finite element implementation of IV order elliptic source/eigenvalue problems in distributed memory environments sponsored by IRCC, IIT Bombay with 3 lacs grant in 2003
  • Parallelization of mixed finite element methods for source/eigenvalue problems sponsored by Department of Science and Technology, India with 4 lacs grant for 3 years from 2001
  • Computer implementation procedures for mixed finite element methods for fourth order elliptic source/eigenvalue problems sponsored by IRD, IIT Delhi with 0.74 lacs grant for 18 months from 2000

Activities

Conferences

  1. One of the Coordinators of the Conference on Recent Trends in Non-linear Analysis and Applications (CNAA 04) held in IITB during December 11-13, 2004
  2. Member of the Organizing Committee of International Conference on Topics in Functional and Numerical Analysis (TOFNA 05) held in IITB during December 7-9, 2005
  3. Member of Organizing Committee if International Conference on Computational Partial Differential Equations ICCPDE08 held in IITB during December 10-13, 2008

Workshops

  1. Instructional School on Computational PDEs (CPDE 05) , 5-24, June 2005, IITB
  2. Indo-German Workshop on Automatic Differentiation, Optimal Control and Adaptivity with Applications (ADOCAA 06), 11-17 November 2006, IITB
  3. Instructional School on Modern Theory of PDEs, 27 May-23 June, 2007, IITB
  4. International Symposium on Recent Advances in Industrial and Applied Mathematics in IITB, November 5-7, 2011
  5. Member of the Advisory Committee of Workshop on Adaptive Finite Element Methods held in IIST, Thiruvananthapuram from March 16-25, 2012.
  6. Organizer of Advanced level training programme of National Programme for Differential Equations in June 2012 at IIT Bombay.
  7. Organizer of Advanced level workshop on Non-standard Finite Element Methods in Feb 2013 at IIT-Bombay.
  8. One of the organizers of Advanced level training programme of National Programme for Differential Equations and CIMPA wokshop in July 2013 at IISc Bangalore.
  9. One of the organizers of a workshop on Mathematical Foundation of Advanced Finite Element Methods in December 2013 at BITS, Goa.
  10. One of the organizers of Advanced level training programme of National Programme for Differential Equations in June 2014 at IISER Thiruvananthapuram.
  11. Organised CIMPA Summer School on Current Research in Finite element methods with Prof. Olivier Pironneau in July 2015 at IIT Bombay.

Special Year Programme

  • One of the organizers of Special Year Programme on CPDE 2005 in IIT Bombay.
  • In the Organizing team of Mathematics Olympiad conducted by Department of Mathematics, IITB in the years 2007 and 2008.

Conferences/Symposia/Talks

National

  1. Delivered a lecture entitled On a mixed finite element method for approximation of eigenvalues and eigenvectors of fourth order elliptic eigenvalue problems in the 31 st Annual Conference of Orissa Mathematical Society (2004) held in Bhubhaneshwar.
  2. Delivered a lecture entitled On Mixed Finite Element Methods for elastic plate bending/vibration problems in the National Symposium on Scientific Computing with Applications to Partial Differential Equations (NSSCAPDE 05) organized by IIT Kanpur in November 2005.
  3. Delivered a lecture entitled On mixed FEM for elliptic source and eigenvalue problems in Golden Jubilee Conference of Analysis and Applications held in IISc Bangalore, March 2006.
  4. Delivered lecture series entitled Adaptive Finite Element Methods in International Workshop and Conference on Control and Inverse Problems held in IISc Bangalore, December 2009.
  5. Delivered a short course on Introduction to MATLAB and its Applications in the National Workshop on Mathematical Softwares and Applications organized by Applied Mathematics, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, March 2010.
  6. Delivered a short course on Finite element methods and error analysis in IISc Mathematics Initiative-Thematic year on PDE models arising in multiscale problems, control and inverse problems and fluid dynamics at Department of Mathematics, Indian Institute of Science, Bangalore, April 2010.
  7. Invited Speaker in National Conference on Advances in Differential Equations and Applications, 7th and 8th October 2010, Periyar University, Salem.
  8. Delivered a short course on Mathematical Theory of Finite Elements in Indian Institute of Technology Madras, April 2011.
  9. Delivered a colloquium talk entitled A posteriori error estimation in finite element analysis in Department of Mathematics, IIT Bombay in 12 th January 2012.
  10. Delivered a series of lectures on Elliptic partial differential equations in a workshop on PDE under Science Academies Lecture Programme held at the S V National Institute of Technology, Surat, March 2012.
  11. Delivered a series of lectures on Finite Element Methods in an International Workshop on Adaptive Finite Element Methods held in IIST, Thiruvananthapuram, March 2012.
  12. Delivered a series of lectures on Numerical Analysis in UG level Training Programme of National Programme of Differential Equations- Theory, Computation and Application (NPDE), held in Bhubhaneshwar, May 2012.
  13. Delivered a series of lectures on Finite Element Methods in Advanced Training Programme of NPDE, held in IIT Bombay, June 2012.
  14. Invited Speaker in Workshop on elliptic and parabolic PDEs and related topics: Theory and Numerical Methods, held in IIT Gaondhinagar, August 2012.
  15. Invited speaker in DAAD Network Workshop on Modeling, Computing and Optimization during September, 2012 held in IIT Madras.
  16. Invited speaker in Symposium on PDE , Annual Conference of the Ramanujan Mathematical Society (RMS), October, 2012.
  17. Invited speaker in National Conference on Recent Advances in Numerical Methods and its Applications (RANMA 2014), January, 2014.
  18. Delivered a series of lectures on FEM for distributed control problems in Advanced Training Programme of NPDE, held in IISER, Thiruvananthapuram, June 2014.
  19. Invited speaker in International Conference on Mathematical Modeling and Computer Simulation (IIT Madras), 8th-10th December 2014.
  20. Plenary speaker in Conference on Computational PDE-Finite Element Meet (TIFR CAM), 18th-20th December 2014.
  21. Invited speaker in Recent Advances in Differential Equations, A conference in honour of Prof.Mythily Ramaswamy on the occasion of her 60th birthday (TIFR CAM), 17th December 2014.
  22. Delivered a series of lectures on FEM for distributed control problems in Advanced Training Programme of NPDE, held in BITS, Goa, June 2015.
  23. Delivered a series of lectures on Finite Element Methods in Advanced workshop of NPDE entitled FEM for Variational Inequalities, held in Sharada University, January 2016.

International

  1. Presented a paper entitled A mixed finite element method for fourth order eigenvalue problems in the 75 th Annual Meeting of the Society of Applied Mathematics and Mechanics (GAMM 2004) held in Dresden.
  2. Delivered a lecture entitled On some mixed finite element methods for elliptic and parabolic problems in the Conference of Difference and Differential Equations (2005) held in Florida.
  3. Invited Speaker in International Conference of Women Mathematicians (ICWM) 2010, an official satellite conference of ICM, 17th -18th August, 2010, University of Hyderabad, Hyderabad.
  4. Organised a mini-symposium entitled "C0 Interior Penalty Methods for Higher Order Partial Differential Equations" and gave a talk entitled "An Interior Penalty Method for Fourth Order Problems" in the 7th International Congress on Industrial and Applied Mathematics (ICIAM 2011) held in Vancouver, July 2011.
  5. Participated in the Oberwolfach Workshop entitled "Advanced Computational Engineering" organised by Olivier Allix, Carsten Carstensen, Joerg Schroeder, Peter Wriggers, 12 th -18 th February,2012.
  6. One of the panelists at the Round table : Role of Mathematics in Emerging Economies in the 6th European Congress of Mathematics, held in Krakow, Poland, July 2012.
  7. Invited Speaker in International Workshop and Tutorial on Computational Mathematics-Advances in Computational PDEs held in Department of Computational Science and Engineering, Yonsei University, Seoul, Korea in March 2013. Presented a talk entitled "On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model."
  8. Presented a talk entitled "An interior penalty method for distributed optimal control problems governed by the biharmonic operator" in the Fourteenth Conference on the Mathematics of Finite Elements and Applications (MAFELAP) held in London, June 2013.
  9. Invited Speaker, Workshop on Advances in PDE Modeling and Computation held in IIT Madras, October 2013.
  10. Chaired the session Mathematical Foundation of Computational Mechanics I and presented a talk entitled "Convergence of adaptive mixed finite element methods for second order elliptic problems" in IACM-ECCOMAS 2014 World Congress in Barcelona, Spain, July 2014.
  11. Visited Monash University as a part of delegation from IITB and presented a talk entitled “Finite element methods for optimal control problems governed by fourth order problems: a priori and a posteriori estimates ”, March 2015.
  12. Organised a mini-symposium entitled “Recent Developments in Finite Element Methods for Variational Inequalities” and gave a talk entitled “On a non-conforming finite element approximation for optimal control of the obstacle problem” in the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015) held in Beijing, August 2015.
  13. Representative from India (in place of Prof. Sujatha Ramadorai) for Women in Mathematics (IMU) Meeting in Cortona, Italy, September 2015.
  14. Gave a talk entitled “Finite Element Methods for the Von K´arm´an Equations” in the workshop on Computational Engineering, MFO, Oberwolfach, October 2015.
  15. Invited Speaker and gave a talk entitled “Finite Element Methods for Plate Bending” in Monash Wokshop on PDEs, Monash University, Melboune, February 2016.

Invited International Visits and Talks

  1. Technical University of Dresden: June 2002
  2. Technical University of Dresden: October 2003
  3. WIAS, Berlin: October 2003
  4. Technical University of Dresden: March 2004
  5. Florida Institute of Technology: August 2005
  6. Humboldt University, Berlin: May-June 2006
  7. WIAS, Berlin: May 2006
  8. UFPR, Curitiba, Brazil: May 2009
  9. Oberwolfach, Germany: February 2012
  10. Humboldt University, Berlin: July 2012
  11. Louisiana State University, Baton Rouge: December 2013
  12. Florida Institute of Technology: December 2013
  13. La Trobe University, Melbourne : August 2014
  14. Monash University, Melbourne : August 2014
  15. Monash University, Melbourne : March 2015
  16. University of Paul Sabatier, Toulouse III: September 2015 (one month long visit)
  17. MFO, Oberwolfach: October 2015
  18. Humboldt Universitat zu Berlin: October 2015
  19. University of Heidelberg: October 2015
  20. University of Kaiserslautern: October 2015
  21. Monash University, Melbourne: November 2015 ( one month long visit)
  22. Monash University, Melbourne: February 2016

Others

  • Delivered lectures in the MHRD program Quality Enhancement in Engineering Education (2014).
  • Conducted a CEP Course on Differential Equations II in CDEEP, IIT Bombay (2009).
  • Conducted a CEP Course on Differential Equations II in CDEEP, IIT Bombay (2009).
  • Have been lecturing in several refresher programmes for College Faculty.

Publications

  1. Asha K. Dond, Neela Nataraj and Amiya K. Pani, Convergence Analysis of Adaptive Finite Element Methods for non-self adjoint and indefinite elliptic problems. Paper accepted for publication in IMA J. Numer. Anal. (2016) :doi: 10.1093/imanum/drw021
  2. Asha K. Dond, Thirupathi Gudi and Neela Nataraj, On a nonconforming finite element approximation for optimal control of the obstacle problem. Paper accepted for publication in Computational Methods in Applied Mathematics (2016).
  3. Gouranga Mallik and Neela Nataraj, Conforming finite element methods for the von K´arm´an equations. Paper accepted for publication in Adv. Comput. Math. (2016).
  4. Carsten Carstensen, Neela Nataraj and Amiya K. Pani, Unified Analysis and Comparison Results for First Order FVM. Paper accepted for publication in IMA J. Numer. Anal. (2015).
  5. Gouranga Mallik and Neela Nataraj, Nonconforming finite element methods for the von K´arm´an equations. Paper accepted for publication in M2AN Math. Model. and Numer. Anal. (2015).
  6. Carsten Carstensen, Asha K. Dond, Neela Nataraj and Amiya K. Pani, A posteriori mixed finite element error analysis for non-self adjoint and indefinite elliptic problems. Paper accepted for publication in Numer. Math. (2015).
  7. Gouranga Mallik and Neela Nataraj, Conforming and nonconforming finite element methods for the canonical von K´arm´an equations. International Journal of Advances in Engineering Sciences and Applied Mathematics, DOI 10.1007/s12572-015-0137-y (2015).
  8. Carsten Carstensen, Dietmar Gallistl and Neela Nataraj, Comparison Results of non standard P2 Finite Element Methods for the Biharmonic Problem. ESAIM: M2AN (Math. Model. and Numer.Anal.) 49 pp. 977-990 (2014).
  9. Thirupathi Gudi, Neela Nataraj and Kamana Porwal, An interior penalty method for distributed optimal control problems governed by the biharmonic operator.Computers and Mathematics with Applications 68 ( 12 ) pp. 2205 - 2221 (2014)(2014).
  10. Saumya Bajpai and Neela Nataraj, On a two-grid Crank-Nicolson method combined with a finite element scheme for the equations of motion arising in Kelvin-Voigt model.Computers and Mathematics with Applications 68 ( 12 ) pp. 2277 - 2291 (2014).
  11. Nupur Gupta and Neela Nataraj, A Dual Weighted Residual Method for an Optimal Control Problem of Laser Surface Hardening of Steel.Mathematics and Computers in Simulation 103, pp. 12-32 (2014).
  12. Saumya Bajpai, Neela Nataraj and Amiya K. Pani, On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. Adv. Comput. Math. 40, pp. 1043-1071 (2014).
  13. Nupur Gupta and Neela Nataraj, A posteriori error estimates for an optimal control problem of laser surface hardening of steel. Adv. Comput. Math. 39(1), pp. 69-99 (2013).
  14. T. Gnana Bhaskar, S. Hariharan and Neela Nataraj, Heatlet approach to diffusion equation on a semi-infinite region. Neural, parallel & scientific computations, 21 (3-4), pp. 375-391 (2013).
  15. Sangita Yadav, Amiya K. Pani, and Neela Nataraj, Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems. J. Sci. Comput. 54(1), pp. 45-76 (2013).
  16. Thirupathi Gudi, Hari Shanker Gupta, and Neela Nataraj, Analysis of an interior penalty method for fourth order problems on polygonal domains. J. Sci. Comput. 54(1), pp. 177-199 (2013).
  17. Saumya Bajpai, Neela Nataraj, Amiya K. Pani, Pedro Damazio and Jin Yun Yuan, Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow. Numer. Methods for Partial Differential Equations 29(3), pp. 857-883 (2013).
  18. Saumya Bajpai, Neela Nataraj and Amiya, K. Pani, On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. Int. J. Numer. Anal. Model. 10 (2), pp. 481-507 (2013).
  19. Sajid Memon, Neela Nataraj and Amiya K.Pani, An a posteriori error analysis of mixed finite element Galerkin approximations to second order linear parabolic problems. SIAM J. Numer. Anal. 50(3), pp. 1367-1393 (2012).
  20. Nupur Gupta and Neela Nataraj, An hp discontinuous Galerkin method for the optimal control problem of laser surface hardening of steel. ESAIM Math. Model. Numer. Anal. (M 2 AN) 45(6), pp. 1081-1113 (2011).
  21. Shalini Baskar, Neela Nataraj and P.K. Bhattacharyya, A parallel mixed-hybid finite element method for anisotropic plate bending problems. Advances in Engineering Software 43(1), pp. 87-95 (2011).
  22. Debasish Pradhan, Shalini Baskar, Neela Nataraj and Amiya K. Pani, A Robin type non-overlapping domain decomposition procedure for second order elliptic problems. Adv. Comput. Math. 34(4), pp. 339-368 (2011).
  23. Nupur Gupta, Neela Nataraj and Amiya K. Pani, On the optimal control problem of laser surface hardening. Int. J. Numer. Anal. Model. 7(4), pp. 667-680 (2010).
  24. Sarvesh Kumar, Neela Nataraj and Amiya K. Pani, Discontinuous Galerkin finite volume element methods for second order elliptic problems. Numer. Methods for Partial Differential Equations 25(6), pp. 1402-1424 (2009).
  25. Neela Nataraj, A mixed finite element method for fourth order eigenvalue problems. Appl. Math. Comput. 213 (1), pp. 60-72 (2009).
  26. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani, On L 2 error estimate for non-symmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data. J. Comput. Appl. Math., 228 (1) pp. 30-40 (2009).
  27. Ajit Patel, Amiya K. Pani and Neela Nataraj, Mortar element methods for parabolic problems. Numer. Methods for Partial Differential Equations, 24(6) pp. 1460-1484 (2008).
  28. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani, Mixed discontinuous Galerkin method for the biharmonic equation. J. Sci. Comput., 37 (2), pp. 139-161, (2008).
  29. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani, An hp-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of non-monotone type. Math. Comp., 77, pp.731-756 (2008).
  30. Debasish Pradhan, Neela Nataraj, Amiya K. Pani, An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. J. Appl. Math. Comput., 28 (1-2), pp.295-311 (2008).
  31. Pritam S.Mantri, Neela Nataraj and Amiya K. Pani, A qualocation method for Burgers' equation. J. Comput. Appl. Math., 213(1), pp. 1-13 (2008).
  32. Sarvesh Kumar, Neela Nataraj, Amiya K. Pani, The finite volume element method for second order hyperbolic equation. International Journal of Numerical Analysis and Modeling, 5, pp. 132-151 (2008).
  33. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani, hp-discontinuous Galerkin Methods for strongly non-linear elliptic boundary value problems. Numer. Math., 109(2), pp. 233-268 (2008).
  34. T. Gnana Bhaskar, S. Hariharan and Neela Nataraj, Heatlet approach to diffusion equation on unbounded domains. Appl. Math. Comput., 197 (2), pp. 891-903 (2008).
  35. Ambit K. Pany, Neela Nataraj and Sangita Singh, A new mixed finite element method for Burgers' equation. J. Appl. Math. Comput. 23, pp. 43-55 (2007).
  36. Kshitij Kulsreshtha and Neela Nataraj, A parallel mixed finite element implementation for approximation of eigenvalues and eigenvectors of fourth order eigenvalue problems. (Short Communication)Journal of Sound and Vibration, 285, pp. 1242-1254 (2005).
  37. Kshitij Kulsreshtha, Neela Nataraj and Michael Jung, A parallel mixed finite element implementation of fourth order plate bending problems in distributed memory environments. Appl. Math. Comput., 163, pp. 253-274 (2005).
  38. Kshitij Kulsreshtha, Neela Nataraj and Michael Jung, Performance of a parallel mixed finite element implemenatation for fourth order clamped anisotropic plate bending problems in distributed memory environments. Appl. Math. Comput., 155, pp. 753-777 (2004).
  39. P. K. Bhattacharyya and Neela Nataraj, Error Estimates for isoparametric mixed finite element solution of fourth order elliptic problems with variable coefficients. Comput. Mech., 28(6), pp.435-455 (2002).
  40. P. K. Bhattacharyya and Neela Nataraj, Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of fourth order eigenvalue problems with variable coefficients. M2AN Math. Model. and Numer. Anal. , 36(1), pp. 1-32 (2002).
  41. P. K. Bhattacharyya and Neela Nataraj, On combined effect of boundary approximation and numerical integration on mixed finite element solution of fourth order elliptic problems with variable coefficients. M2AN Math. Model. and Numer. Anal., 33(4), pp. 807-836 (1999).
  42. Neela Nataraj, P. K. Bhattacharyya, S. Balasundaram and S. Gopalsamy, On a mixed hybrid finite element method for anisotropic plate bending problems. Internat. J. Numer. Methods Engrg., 39(23), pp. 4063-4089 (1996).

Conference & Other Publications

  1. Thirupathi Gudi, Neela Nataraj and Kamana Porwal, A C0 interior penalty method for an optimal control problem governed by the biharmonic operator, Proceedings of the Indo-German Workshop on Advances in PDE Modeling and Computation, October 21-25, 2013.
  2. Sarvesh Kumar, Neela Nataraj and Amiya K. Pani, Finite volume element method for the incompressible miscible displacement problems in porous media, PAMM. Proc. Appl. Math. Mech. 7, 2020015-2020016 (2007) /DOI 10.1002/pamm.200700090.
  3. Neela Nataraj and Ambit Kumar Pany, An H 1 -Galerkin mixed finite element method for linear and nonlinear parabolic problems, Proceedings of the Conference on Differential and Difference Equations and Application, Hindavi Publishing Corporation, 851-860 (2006).
  4. Neela Nataraj, A mixed finite element method for fourth order eigenvalue problems, Proc. Appl. Math. Mech. (PAMM) 4, 358-359 (2004).
  5. Kshitij Kulsreshtha, Neela Nataraj and Michael Jung, Performance of a mixed finite element implemenatation for fourth order clamped anisotropic plate bending problems in SIMDdistributed memory environments, Proceedings of ICIWIM 2002, IIT Bombay.

Research Report

  • P. K. Bhattacharyya, Neela Nataraj. Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of fourth order eigenvalue problems with variable coefficients, Research Report No. R 98021, Laboratory of Pierre and Marie Curie University of Paris, Paris (1998).

Awards & Honours

  1. S. P. Sukhatme Excellence in Teaching Award (2016).
  2. Member, Editorial Board, Computers & Mathematics with Applications, June 2015 onwards.
  3. Member, Editorial Board, Mathematical Sciences- Indian Academy of Sciences, 2015-2017.
  4. Associate Editor, International Journal of Numerical Analysis and Modelling, Series B, 2010-2015.
  5. IIT Bombay Excellence in Teaching Award (2012).
  6. One of the invited speakers in International Conference of Women Mathematicians (ICWM) (2010).
  7. IIT Bombay Excellence in Teaching Award (2008).
  8. DAAD Research Grant (May 18- June 20, 2006) for Research visit to Humboldt University, Berlin.
  9. Appreciation letter from Director, IIT Delhi (2002) for good performance in the five elements: teaching, academic research, sponsored research, academic management and honours/awards. (Rating : above 4 out of 5)
  10. National Board of Higher Mathematics Research Award , Department of Atomic Energy (1990)
  11. Council of Scientific and Industrial Research Research Award (1990)
  12. First rank in M.Sc (Kerala University) (1990)
  13. Kerala University Merit Scholarship during Graduation (1986-88) and Post-Graduation (1988-90)

Courses

Courses taught in IIT Bombay

S.No. Year Semester Course Course Name Level
1 2014-15 2 MA 534 Modern Theory of PDE M.Sc.
2 2014-15 1 SI 507 Numerical Analysis M.Sc. (Math & ASI)
3 2013-14 2 MA 534 Modern Theory of PDE M.Sc.
4 2013-14 1 MA 855 Topics in Numerical Analysis I Ph.D.
5 2012-13 2 MA 106 Linear Algebra B.Tech.
6 2012-13 2 MA 108 Differential Equations B.Tech
7 2012-13 2 MA 856 Topics in Numerical Analysis II Ph.D.
8 2011-12 2 MA 522 Fourier Analysis and Applications M.Sc.
9 2011-12 1 MA 207 Differential Equations II B.Tech.
10 2010-11 1 MA 106 Linear Algebra B.Tech.
11 2010-11 1 MA 108 Differential Equations I B.Tech.
12 2010-11 1 MA 855 Topics in Numerical Analysis I Ph.D
13 2009-10 2 SI 512 Finite difference methods for Partial Differential Equations M.Sc.
14 2009-10 1 MA 515 Partial Differential Equations M.Sc.
15 2009-10 1 SI 421 Introduction to Mathematical Software M.Sc.
16 2008-09 1 MA 515 Partial Differential Equations M.Sc.
17 2008-09 1 MA 106, MA 108 Linear Algebra and Differential Equations M.Sc.
18 2007-08 2 MA 562 Mathematical Theory of Finite Elements M.Sc.
19 2007-08 2 MA 856 centerics in Numerical Analysis II Ph.D
20 2007-08 1 MA 515 Partial Differential Equations M.Sc.
21 2007-08 1 MA 853 centerics in Numerical Analysis I Ph.D
22 2007-08 1   MA 105 (Calculus) TA training
23 2006-07 2 MA 104 Mathematics II (Vector Calculus & Linear Algebra) B.Tech.
24 2006-07 1 MA 203 Mathematics III (Differential Equations) B.Tech.
25 2005-06 2 SI 522 Large scale Scientific Computation M.Sc.
26 2005-06 1 MA 529 Numerical Methods for Partial Differential Equations M.Sc.
27 2005-06 1 SI 533 Finite Difference Methods for Partial Differential Equations M.Sc.
28 2004-05 2 MA 404 Real Analysis II M.Sc.
29 2004-05 2 MA 562 Mathematical Theory of Finite Elements M.Sc.
30 2004-05 1 MA 203 Mathematics III (Differential Equations) B.Tech.
31 2003-04 1 MA 103 Mathematics I (Analysis & Calculus) B.Tech.

Courses taught in IIT Delhi (2000-2003)

  1. Finite Element Theory and Applications for M.Tech. (Math &Computing) (taught 4 times)
  2. Topology and Functional Analysis for M.Tech. (Math & Computing) (taught once)
  3. Basic Mathematics I, B.Tech. Core Course
  4. Mathematics II, B.Tech. Core Course
  5. Methods of Applied Mathematics, M.Sc. Course
  6. Partial Differential Equations, M.Sc. Course

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Indian Institute of Technology Bombay
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