Name:
Dr. Ghulam Mustafa
Designation:
Assistant Professor
Qualification:
Doctor of Science (DS, Computational Mathematics)
DS. Institute/University:
University of Science and Technology of China, P. R.
China
Address:
Department of Mathematics, The Islamia
University of Bahawalpur, Pakistan
Phone:
Office: +92-62-9255480 Cell: 03006855221
E-Mail:
ghulam.mustafa@iub.edu.pk
mustafa_rakib@yahoo.com
mustafa_rakib@hotmail.com
Field of Interest:
Geometric Modeling, Applied Approximation Theory
Publications (Total):
25 (See attached list)
Publications (Int):
21
Publications (Local):
04
Articles Presented in Conferences:
07 (See attached list)
PhD Scholars under Supervision:
05
1) Muhammad Sadiq, (Sponsored by Higher Education Commission HEC)
Research topic: Subdivision curves / surfaces and their error bounds
Status: Writing up Dissertation
2) Muhammad Faheem Khan (Sponsored by HEC)
Research topic: Analysis and application of subdivision schemes
Status: Writing up Dissertation
3) Mehwish Bari (Sponsored by HEC), Status: Doing course work
1
4) Abdul Ghaffar (Sponsored by HEC), Status: Doing course work
5) Pakeeza Ashraf (Sponsored by HEC), Status: Doing course work
M. Phil Scholars Supervised and Awarded Degrees:
05
1) Mehwish Bari (Sponsored by HEC) 2009
Research topic: Non-stationary subdivision schemes reproducing conics
2) Najma Abdul Rehman (Sponsored by HEC) 2009
Research topic: General formulas for the mask of (2b+4)-point n-ary
subdivision schemes
3) Abdul Ghaffar (Sponsored by HEC) 2009
Research topic: Some new subdivision schemes and their analysis
4) Pakeeza Ashraf (Sponsored by HEC) 2009
Research topic: A new 6-point ternary interpolating subdivision scheme and
its differentiability
5) Jayyada Irum (Sponsored by HEC) 2010
Research topic: A new 5-point ternary interpolating subdivision scheme and
its differentiability
M. Phil Scholars under Supervision:
06
1) Madiha Sana (Non HEC) 2009, Status: Submitted thesis
Research topic: Tensor product subdivision surface
2) Muhammad Zahid (HEC), Status: Started research work on 10-02-2010
3) Syeda Tehmina Ejaz (Non HEC), Status: Started research work on 10-2-2010
4) Rabia Hameed (Non HEC), Status: Started research work on 10-02-2010
5) Tayyaba Saleem (Non HEC), Status: Started research work on 10-02-2010
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6) Azra Bano (Non HEC), Status: Started research work on 10-02-2010
Others:
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(Dr. Ghulam Mustafa)
1) Kamran Fakhar, Ghulam Mustafa and M. Azram, A random coincidence point theorem
for multifunction, International Journal of Pure and Applied Mathematics, 58(4), 2010
2) Ghulam Mustafa and Faheem Khan, A new 4-point C 3 quaternary approximating
subdivision scheme, Abstract and Applied Analysis, Vol. 2009, Article ID 301967, 14
Pages, 2009. doi: 10.1155/2009/301967.
3) Ghulam Mustafa, Sadiq Hashmi and Faheem Khan, Error bounds for 3 subdivision
surfaces, Journal of University of Science and Technology of China, Vol. 39,
No. 6, Jun, 2009
4) Sadiq Hashmi and Ghulam Mustafa,, Estimating error bounds for quaternary
subdivision schemes, Journal of Mathematical Analysis and Applications, 358, 159167, 2009,
5) Ghulam Mustafa,, Subdivision depth computation for tensor product ternary
volumetric model, Proceeding of the 2009 International Conference on Scientific
Computing, Pages 151-158, (CSC 2009, July 13-16, 2009, Las Vegas, Nevada,
USA),
6) Ghulam Mustafa, Faheem Khan and
Abdul Ghaffar, The m-point approximating
subdivision scheme, Lobachevskii Journal of Mathematics, 30(2): 138-145, 2009
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7) Faheem Khan and Ghulam Mustafa, Ternary 6-point interpolating subdivision scheme,
Lobachevskii Journal of Mathematics, 29 (3), 153-163, 2008
8) Ghulam Mustafa, Sadiq Hashmi and K. P. Akhtar, Estimating error bounds of Bajaj’s
solid models and their control hexahedral meshes, Lobachevskii Journal of
Mathematics, 26, 51-61, 2007
9) Ghulam Mustafa , Sadiq Hashmi and Faheem Khan, Estimating error bounds for nonstationary binary subdivision curves/surfaces, Journal of Information and Computing
Science, 2(3), 179-190, 2007
10) Ghulam Mustafa and Jiangsong Deng,
Estimating error bounds for ternary
subdivision curve/surfaces, Journal of Computational Mathematics, 24(4), 473-484,
2007
11) Ghulam Mustafa, Sadiq Hashmi and Nusrat Anjum Noshi, Estimating error bounds for
tensor product binary subdivision volumetric model, International Journal of
Computer Mathematics, 12(83) , 879--903, 2006
12) Ghulam Mustafa, Falai Chen and Jiangsong Deng, Estimating error bounds for binary
subdivision curve/surfaces, Journal of Computational and Applied Mathematics, 193,
596--613, 2006
13) Ghulam Mustafa, Random fixed point theorems for contractive type multifunctions,
Journal of Australian Mathematical Society 78, 211--220, 2005
14) Ghulam Mustafa, Nusrat Anjum Noshi and Abdur Rashid, Some random coincidence
and random fixed point theorems for hybrid contractions, Lobachevskii Journal of
Mathematics, 18, 139--149, 2005
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15) Ghulam Mustafa, and Xuefeng Liu, A subdivision scheme for volumetric model,
Applied Mathematics: A Journal of Chinese University Series B, 20(2), 213--224,
2005
16) Ghulam Mustafa and Xuefeng Liu, A new solid subdivision scheme, Journal of
University of Science and Technology of China, 35(3), 285--300, 2005
17) Ghulam Mustafa, Falai Chen and Zhangjin Huang, Ternary wavelets and their
applications to signal compression, International Journal of Applied Mathematics and
Computer Science 14(2), 233--240, 2004
18) Ghulam Mustafa, A double-sequence random iteration process for random fixed
points of contractive type random operators, Lobachevskii Journal of Mathematics,
14, 33--38, 2004
19) Abdur Rashid, Tahir Mahmood and Ghulam Mustafa, An explicit pseudo- spectral
scheme for korteweq-de vries Burgers equation, International Journal of Pure and
Applied Mathematics, 16(4), 439--449, 2004
20) Ghulam Mustafa. Some random coincidence point theorems, Journal of Mathematical
Research & Exposition, 23(3), 413--421, 2003
21) Abdur Rashid and Ghulam Mustafa, The Fourier pseudospectral method with restraint
operator for Burgers equation, Journal of University of Science and Technology of
China. 33(5), 547-- 554, 2003
22) Abdur Rashid and Ghulam Mustafa, A three level pseudo-spectral method for vorticity
equation Gomal University Journal Research 19, 09--16, 2002
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23) Ghulam Mustafa and Nawab Hussain, Random coincidence point theorems for
generalized contractive type random multivalued operators on polish spaces. Journal
of Pure and Applied Science 19(1), 17-- 23, 2000
24) Ghulam Mustafa, Random coincidence point theorems for Kannan type random multivalued operators on polish spaces, Journal of Pure and Applied Science, 19(2), 135-140, 2000
25) Ghulam Mustafa and Nawab Hussain, Random coincidence points of random
multivalued operators on polish spaces, Journal of Pure and Applied Science. 17(2),
58--61, 1998
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1) Ghulam Mustafa, A 3-point subdivision curve and surface scheme, 10th International
Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan
Mathematical Society, August 19-21, 2009
2) Ghulam Mustafa, The four-point ternary approximating scheme for curve design,
Summer Conference in Mathematics 2009, held at Lahore University of Management
Sciences, Centre for Advanced Studies in Mathematics, Lahore, July 27-28, 2009
3) Ghulam Mustafa, A new binary 4-point approximating scheme, 9th International
Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan
Mathematical Society, August 22-24, 2008
4) Sadiq Hashmi, Ghulam Mustafa, Faheem Khan, Error estimate of
3 subdivision
surfaces, 9th International Pure Mathematics Conference, held at Margallah Hotal
Islamabad by All Pakistan Mathematical Society, August 22-24, 2008
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5) Ghulam Mustafa, Subdivision curve and surfaces for Geometric Design, 1st
Mathematics Conference at CASPAM, Bahauddin Zakariya University, Multan
Pakistan, July 27-28, 2007
6) Ghulam Mustafa, Random fixed point theorems for Hybrid contractions, Summer
School in Fixed Point Theory, held at Lahore University of Management Sciences,
Centre for Advanced Studies in Mathematics, Lahore, August 1-5, 2005
7) Ghulam Mustafa, Estimating error bounds for binary subdivision surfaces, Winter
Conference in Mathematics 2004, held at Lahore University of Management
Sciences, Centre for Advanced Studies in Mathematics, Lahore, December 3-4, 2004
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