• Campus Header
  • Institute Header
Home
Academics

Integrated first degree

B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
B.E.(Mechanical)
B.Pharm.(Pharmacy)
M.Sc.(Biological Sciences)
M.Sc.(Chemistry)
M.Sc.(Economics)
M.Sc.(Mathematics)
M.Sc.(Physics)

Higher Degree

M.E.(Biotechnology)
M.E.(Chemical)
M.E.(Civil with specialization in Structural Engineering)
M.E.(Civil with specialization in Transportation Engineering)
M.E.(Communication Engineering)
M.E.(Computer Science)
M.E.(Design Engineering)
M.E.(Embedded Systems)
M.E.(Manufacturing Systems Engineering)
M.E.(Mechanical)
M.E. (Microelectronics)
M.E. (Sanitation Science, Technology and Management)
M.Pharm.(Pharmacology)
M.Pharm.(Pharmaceutics)
M.E.(Mechanical with specialization in Thermal Engineering)
M.E.(Environmental Engineering)

Doctoral Programmes

Biological Sciences
Chemical Engineering
Chemistry
Civil Engineering
Computer Science & Information Systems
Economics & Finance
Electrical & Electronics Engineering
Humanities & Social Sciences
Mathematics
Mechanical Engineering
Pharmacy
Physics
Departments
Research & Innovation
Centers
Students
Admission
DIVISIONS
QUICK LINKS
Campus
Pilani
Dubai
K K Birla Goa
Hyderabad
BITSoM, Mumbai
BITS Law School, Mumbai
Links For
BITS Library
Admissions
Faculty
Practice School
Placements
Student Arena
Career
News
Alumni
Internationalization
Events
MOUs
Current Students
Invest in Leaders
Outreach
Picture Gallery
Admission
Integrated first degree
Higher degree
Doctorol programmes
International Admissions
Online Admissions
BITSAT
IMPORTANT CONTACTS
Pilani
Dubai
Goa
Hyderabad
RESEARCH & INNOVATION
Overview
Sponsored Research Projects
Consultancy Based Projects
Patents
Publications
R&D Centers
DEPARTMENTS
Pilani
Dubai
Goa
Hyderabad
Academics

Integrated First Degree

B.E.(Biotechnology)
B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
B.E.(Manufacturing Engineering)
B.E.(Mechanical)
B.Pharm.(Pharmacy)
M.Sc.(Biological Sciences)
M.Sc.(Chemistry)
M.Sc.(Economics)
M.Sc.(General Studies)
M.Sc.(Mathematics)
M.Sc.(Physics)
B.E. (Mathematics and Computing)

Higher Degree

MBA (Master of Business Administration in Business Analytics)
MBA (Master of Business Administration)
M.E.(Electrical with specialization in Power Electronics and Drives)
MBA (Master of Business Administration)
M.E. Civil – Water Resource Engineering
M. E. Computer Science with Specialization in Information Security with B.Sc. input
M.E. (Mechanical with specialization in Thermal Engineering)
M.E. Chemical Engineering (with specialization in Petroleum Engineering)
M.E. Electronics & Control
M.E. M.Pharm
M.E.(Biotechnology)
M.E.(Chemical)
M.E.(Civil with specialization in Infrastructure Engineering and Management)
M.E.(Civil with specialization in Structural Engineering)
M.E.(Civil with specialization in Transportation Engineering)
M.E.(Communication Engineering)
M.E.(Computer Science)
M.E.(Design Engineering)
M.E.(Embedded Systems)
M.E.(Manufacturing Systems Engineering)
M.E.(Mechanical)
M.E.(Microelectronics)
M.E.(Sanitation Science, Technology and Management)
M.E.(Software Systems)
M.Pharm.(Pharmaceutical Chemistry)
M.Pharm.(Pharmaceutics)
M.Pharm.(Pharmacology)
M.Pharm.(Pharmacy)
M.Sc. General Studies – Communication and Media Studies Stream
Master in Public Health
MBA(Master of Business Administration In Business Analytics)

Doctoral Programmes

Biological Sciences
Chemical Engineering
Chemistry
Civil Engineering
Computer Science & Information Systems
Economics & Finance
Electrical & Electronics Engineering
Humanities & Social Sciences
Management
Mathematics
Mechanical Engineering
Pharmacy
Physics
General Sciences

WILP

Dubai Campus

Integrated First Degree
Higher Degree
Doctoral Programmes
Explore BITS
About
Legacy
Achievements
Social Responsibility
Sustainability
Divisions
Pilani
K K Birla Goa
Hyderabad
Dubai
follow us
  • linkedin
  • twitter
  • facebook
  • youtube
  • instagram
Feedback

Prof. Naraparaju Kishore Kumar

hyderabad Mathematics

Head & Associate Professor,
Department of Mathematics

Finite element method, Numerical solutions to elliptic partial differential equations, Spectral element method, Tensor Decompositions
Birla Institute of Technology & Science, Pilani
Hyderabad Campus
Jawahar Nagar, Kapra Mandal
Dist.-Medchal-500 078
Telangana, India
naraparaju@hyderabad.bits-pilani.ac.in
+91 40 66303646

Publications

Published

  • P. K. Dutt, N. Kishore Kumar and C. S. Upadhyay, Nonconforming h-p spectral element methods for elliptic problems, Proc. Indian Acad. Sci (Math. Sci.), Springer Verlag, 117, 109-145, 2007.
  • N. Kishore Kumar, P. K. Dutt and C. S. Upadhyay, Nonconforming spectral/hp element methods for elliptic systems, Journal of Numerical Mathematics, 17, No. 2, 119-142, 2009.
  • N. Kishore Kumar and G. Naga Raju, Least-squares hp/spectral element method for elliptic problems, Applied Numerical Mathematics, Vol. 60, 38-54,  2010. 
  • W. Hackbusch, N. Kishore Kumar and J. Schneider,  On the efficient convolution with the Newton potential, Journal of Numerical Mathematics, 18, No. 4, 257-280, 2010. Preprint: http://www.mis.mpg.de/preprints/2009/preprint2009_53.pdf
  • N. Kishore Kumar and J. Schneider, Generalized Cross approximation for 3d-tensors, Computing and Visualization in Science, 14, 105-115, 2011. Preprint: http://www.mis.mpg.de/preprints/2010/preprint2010_29.pdf
  • N. Kishore Kumar and G. Naga Raju,  Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces,  Journal of Scientific Computing, 2, Vol: 53, 295-319, 2012. 
  • N. Kishore Kumar, Nonconforming spectral element method for elasticity interface problems, Journal of Applied Mathematics and Informatics,Volume 32, Issue 5-6, 761-781, 2014.
  • M. Espig, N. Kishore Kumar and J. Schneider,  A note on approximation in Tensor Chain format, Computing and Visualization in Science, Vol 5, Issue 6, 331-344, 2012.
  • G. Naga Raju, P. Dutt, N. Kishore Kumar and C. S. Upadhyay, Nonconforming spectral element method for elliptic partial differential equations with periodic boundary conditions, Applied Mathematics and Computation, Vol 246, 426-439, 2014.
  • Theeda Prasad and N. Kishore Kumar,  Image compression using pseudo--skeleton approximation, Accepted in the proceedings of   ICECCS 2013, 2013.
  • N. Kishore Kumar and Jan Schneider, Literature survey on Low rank approximation of  matrices, Accepted in Linear and Multi-linear Algebra,  Volume 65,  Issue 11, 2017.
  • Boris N. Khoromskij, Kishore K. Naraparaju and Jan Schneider, Quantized - CP approximation and sparse tensor interpolation of function generated data, Numerical Linear algebra with applications, Vol. 26(7), 2019.
  • P. Biswas, N. Kishore Kumar and Anil Kumar Kar, Performance of space-time coupled least-squares spectral element methods for parabolic problems, IOP Journal of Physics: Conference Series (JPCS), 1132, 012020, 2019.
  • P. Biswas, P. Dutt, S. Ghorai and N. Kishore Kumar , Space-time coupled least-squares spectral element methods for parabolic problems, International Journal for Computational Methods In Engineering Science and Mechanics, Vol. 20 (5), 358-371, 2019.
  • N. Kishore Kumar, Pankaj Biswas and B. Seshadri Reddy, A study of spectral element method for elliptic interface problems with nonsmooth solutions in R^2, Journal of Applied Mathematics and Informatics, Volume 38, Issue, 3-4, 311-334. 
  • N. Kishore Kumar and Pankaj Biswas, Fully discrete least-squares spectral element method for parabolic interface problems, Mathematics and Computers in Simulation 181, 364-379, 2021.
  • N. Kishore Kumar and Shubhashree Mohapatra, Nonconforming spectral element method for Oseen equations and Navier Stokes equations, In: Abdel Wahab, M. (eds) Proceedings of the 5th International Conference on Numerical Modelling in Engineering. Lecture Notes in Civil Engineering, Vol 311. Springer, Singapore. https://doi.org/10.1007/978-981-19-8429-7_1, 2023.
  • Shubhashree Mohapatra and N. Kishore Kumar, A spectral element solver for Oseen equations, To appear in ICNAAM 2021  AIP Proceedings 2849, 450036, 2023.
  • N. Kishore Kumar and Shubhashree Mohapatra, Performance of nonconforming spectral element method for Stokes problems, Computational and Applied Mathematics, 41, 156,  2022. 
  •   Shubhashree Mohapatra, N. Kishore Kumar and Shivangi Joshi, Least-squares formulations for Stokes equations with non-standard boundary conditions - A unified approach, Accepted in Mathematical Methods in Applied Sciences.
  •  N. Kishore Kumar and Shivangi Joshi, Nonconforming Spectral Element Method: A friendly introduction in one dimension and a short review in higher dimensions, Computational and Applied Mathematics, 42:139, 2023.
  • Sanuwar Ahmed Choudhury,  N Kishore Kumar , Pankaj Biswasa and  Arbaz Khan, Nonconforming Spectral Element Approximation for Parabolic PDE
    with Corner Singularity, Accepted  in Computers & Mathematics with Applications, 2024.

Submitted

  • N. Kishore Kumar, Jan Schneider, Construction of Arbitrary tensor networks using cross approximation in d=4.
  • N. Kishore Kumar and Pankaj Biswas, Fully discrete least-squares spectral element method for linear parabolic problems in R^2.

Keep Exploring

Faculty
Events
News