Dr. Ghulam Mustafa, Ph.D. (Associate Professor

Transcription

1 Dr. Ghulam Mustafa, Ph.D. (Associate Professor Subject Editor: Journal of Pure and Applied Sciences) Permanent Postal Address : Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan Contact Tel : +92-(0) ghulam.mustafa@iub.edu.pk mustafa_rakib@yahoo.com Skype Address: mustafa.rakib ORCID Number: Education Ph.D. (Mathematics) M.Phil. (Mathematics) School of Mathematical Science, University of Science and Technology of China, Hefei Anhui, P. R. China, July 2004 Advisor: Prof. Dr. Chen Falai Thesis: Subdivision and its Applications in Solid Modeling and Signal Compression Centre for Advance Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan, 1996 Advisor: Prof. Dr. Abdul Rahim Khan Thesis: Fixed point Theorems for Multivalued Mappings M.Sc. (Mathematics) Centre for Advance Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan, 1993 B.Sc. The Islamia University of Bahawalpur, Pakistan, 1991 Work Experience to Post-Doctoral / Visiting Fellow at School of Mathematical Sciences, University of Science and Technology of China (Sponsored by Chinese Academy of Sciences) (Ex-Pakistan leave) todate Associate Professor, Department of Mathematics, The Islamia University of Bahawalpur, Pakistan 1

2 to (Ex-Pakistan leave) Post-Doctoral Fellow at School of Engineering and Computing Sciences, Durham University, UK (Sponsored by Commonwealth Scholarship Commission UK) 2005 to Assistant Professor, Department of Mathematics, The Islamia University of Bahawalpur, Pakistan Lecturer, Department of Mathematics, The Islamia University of Bahawalpur, Pakistan Proceeded for research work for Ph. D., School of Mathematical Sciences, University of Science and Technology of China, P. R. China (Study leave) Lecturer, Department of Mathematics, The Islamia University of Bahawalpur, Pakistan Academic Honors, Awards and Distinction Post-Doctoral / Visiting Fellowship Awarded by Chinese Academy of Sciences, 2013 Research Productivity Award Post-Doctoral Fellowship Approved Supervisor by the Higher Education Commission Pakistan Research Productivity Award Star Laureate 2009, Award Awarded by Pakistan Council of Science and Technology, 2013 Awarded by Commonwealth Scholarship Commission UK, 2011 For Supervising Ph.D. Scholars Selected under Indigenous and Merit Scholarship Scheme since September 17, 2004 Awarded by Pakistan Council of Science and Technology, 2011 Awarded by South Asia Publications, on national level in recognition of credentials par excellence, 25 th December, 2010 Cultural Exchange Scholarship Awarded by People s Republic of China for the Degree of Ph.D. from September 2000 to July 2004 INFAQ-UGC Merit Scholarship Gold Medal Awarded by INFAQ Foundation Karachi under University Grants Commission Pakistan for the Degree of M.Phil. Awarded by Bahauddin Zakariya University Multan, Pakistan, on the basis of getting first position in M. Sc. Examination 2

3 Book Publication Title: Subdivision its Applications in Solid Modeling and Signal Compression Publisher: VDM Verlag (10 Jun 2010) Language: English ISBN-10: ISBN-13: Research Field/Interest 1) Geometric Modeling 2) Applied Approximation Theory; Subdivision schemes 3) Generalization of Classical Fixed Point Theory to Random Fixed Point Theory 4) Numerical Solution of Partial Differential Equations (PDE S) Publications and Presentations (See the list at the end of CV) 54 Refereed Journal Articles 03 Refereed Conference / Proceeding Articles 00 Journal Article accepted, 09 Presentations at Conferences List of Ph.D. Students Supervised and Awarded Degrees (Total 04) Pakeeza Ashraf Abdul Ghaffar Thesis: Subdivision Schemes and their Applications in Geometric Modeling, 2015 ( ) Sponsored by Higher Education Commission (HEC), Pakistan Thesis: Lower and Higher Arity Subdivision Schemes and their Applications, 2014 ( ) Sponsored by Higher Education Commission (HEC), Pakistan Muhammad Sadiq Thesis: Subdivision curves / surfaces and their error bounds, 2011 Sponsored by Higher Education Commission (HEC), Pakistan Muhammad Faheem Khan Thesis: Analysis and application of subdivision surfaces, 2011 Sponsored by Higher Education Commission (HEC), Pakistan List of Ph.D. Students under Supervision (Total 05) Mehwish Bari Robina Bashir Syeda Tehmina Ijaz Muhammad Asghar Thesis: Stationary and non-stationary subdivision schemes and their applications (Research in progress) Thesis: Study of subdivision schemes and their impact on geometric modeling and computer graphics (Research in progress) Thesis: Subdivision schemes and their applications to solve differential equations (Research in progress) Thesis: Regression based subdivision schemes for noisy data (Research in progress) 3

4 Rabia Hameed Thesis: Classical and statistical techniques based subdivision schemes (Research in progress) List of M.Phil. Students Supervised and Awarded Degrees (Total 16) Maryam Akbar Thesis: Analysis of 4-point binary subdivision scheme and its properties, 2014 Memoona Qureshi Thesis: Complete analysis of 4-point binary subdivision scheme, 2014 Tamsela Irum Thesis: Complete analysis of 3-point ternary subdivision scheme, 2014 Ahshan Hazoor Randhawa Thesis: Complete analysis of 3-point binary subdivision scheme, 2014 Asim Khurshid Thesis: Family of odd point ternary approximating subdivision schemes, 2012 Muhammad Kashif Rasool Thesis: Family of odd point quinary approximating subdivision schemes, 2012 Muhammad Zahid Thesis: Analysis of binary subdivision schemes for curve design, 2011 Syeda Tehmina Thesis: Analysis of ternary subdivision schemes for curve design, 2011 Ejaz Azra Bano Thesis: Analysis of quaternary subdivision schemes for curve design, 2011 Rabia Hameed Thesis: Analysis of tensor product binary subdivision schemes for surface design, 2011 Tayyaba Saleem Jayyada Irum Thesis: Analysis of tensor product ternary subdivision schemes for surface design, 2011 Thesis: A new 5-point ternary interpolating subdivision scheme and its differentiability, 2010 Madiha Sana Thesis: Tensor product subdivision surface, 2010 Najma Abdul Rehman Thesis: General formulas for the mask of (2b+4)-point n-ary subdivision schemes, 2009 Mehwish Bari Thesis: Non-stationary subdivision schemes reproducing conics, 2009 Abdul Ghaffar Thesis: Some new subdivision schemes and their analysis, 2009 Pakeeza Ashraf Thesis: A new 6-point ternary interpolating subdivision scheme and its differentiability,

5 List of M.Phil. Students under Supervision (Total 06) Husna Aslam Khan Thesis: A five point variant on Lane-Riesenfeld algorithm Javaria Iqbal Noreen Saba Rida Zahra Rana Muhammad Waqas Rabia Noor Malik Thesis: Analysis and characteristics of H-schemes Thesis: A family of binary primal and dual subdivision schemes Thesis: Generation and analysis of a family of approximating subdivision schemes Thesis: A new class of univariate binary subdivision schemes Thesis: Construction and applications of a family of subdivision schemes Reviews/Evaluation Subject Editor Reviewer of Journals Reviewed M.Phil. Thesis Journal of Pure and Applied Sciences 1) Journal of Computational and Applied Mathematics 2) Computers and Graphics 3) Pakistan Journal of Science 4) Journal of Faculty of Engineering and Technology 5) Journal of Applied Mathematics 6) Applied Mathematics 7) Iranian Journal of Science and Technology (Sciences) Thesis: Extension of the theory of orthonormal polynomials on 3-dimensional ball, by Ms. Amna Ishtiaq, Department of Mathematics, GC University Lahore, September 2011 Thesis: Shape preserving curves for computer graphics, by Ms. Rabia Iqbal, Department of Mathematics, University of the Punjab Lahore, 28 June 2010 Thesis: Positive and monotone surface data interpolation, by Ms. Danish Zaidi, Department of Mathematics, University of the Punjab Lahore, 2009 Thesis: Positive data modeling using rational functions, by Ms. Asfar Nisar, Department of Mathematics, University of the Punjab Lahore, Thesis: Shape preserving surfaces for computer aided geometric design, by Ms Mubashrah Saddiqa, Department of Mathematics, University of the Punjab Lahore, Thesis: Shape preserving data visualization with rational quadratic splines, by Ms. Shamaila Samreen, Department of Mathematics, University of the Punjab Lahore,

6 Country Visited Korea China From 11 th August 2014 to 18 th August 2014 to Attend MENAO (Mathematics in Emerging Nations Achievements and Opportunities) Symposium and International Congress of Mathematicians (ICM) Seoul 2014 and International Congress of Women Mathematician (ICWM) 2014, at COEX Convention Center, Seoul Korea. From 9 th November 2013 to 08 th May 2014 to do Post Doc with Prof. Dr. Jiansong Deng at School of Mathematical Sciences, University of Science and Technology of China, Hefei Anhui, P. R. China UK From 1 st October 2011 to 31 st March 2012 to do Post Doc with Dr. Ionize P. Ivrissimtzis at School of Engineering and Computing Science, Durham University, UK China Singapore China From 6 th August 2010 to 2 nd September 2010 to do collaborative research under Pakistan Program for Collaborative Research-foreign visit of local faculty member with Professor Jiansong Deng, School of Mathematical Sciences, University of Science and Technology of China, Hefei Anhui, P. R. China From 7 th June 2010 to 12 th June 2010 to present research article in conference Computer Graphics International 2010 China 3 rd September 2000 to 15 th July 2004 to do PhD with Professor Dr. Chen Falai, School of Mathematical Sciences, University of Science and Technology of China, Hefei Anhui, P. R. China 6

7 Membership and Services 1) Diamond Jubilee Alumni Member, Commonwealth Scholarship Commission in the United Kingdom, since ) Member/Secretary of committee for Appeal to cases of Indiscipline and Misconduct- regulatory (CIM), IUB, from ) Member/Secretary of committee Admission in MS leading to Ph. D for Indigenous Scholarship holders, The Islamia University of Bahawalpur (IUB), since to ) Member of All Pakistan Mathematical Society from July 7, ) Member of Zakariyan Mathematical Society, since ) Student Advisor, Department of Mathematics, IUB from Sep, 2006, to Sep ) Member of Prospectus committee, IUB, from and ) In charge Career Counseling, Department of Mathematics, IUB, since April, ) Member Board of Studies in Mathematics, IUB from July 28, ) Member of Admission committee, Department of Mathematics, IUB from September 1996 to 2000 then 2004 to September 2011, 11) Member Mora Scholarship Committee Department of Mathematics, IUB, from September, 2004 to September, ) Assistant Warden in Hostel of IUB, from October 1997 to September ) Member of Discipline Committee (to deal conduct and discipline of the Students of session ), Department of Mathematics, IUB Teaching Experience Multi-resolution in Geometric Modeling: Subdivision Methods for Geometric Design: Computer Aided Geometric Design: Computer Graphics : Programming Languages C/C++ & Fortran-77: Numerical Analysis and Partial Differential Equations: Modern Algebra and Differential Equation: Business Mathematics and Teaching of Mathematics: Calculus Ph.D. level Mathematics course Ph.D. level Mathematics course M.Phil. level Mathematics course MCS and BS level courses M.Sc. level courses M.Sc. level courses M.Sc. and BS level courses BS level courses BS level courses 7

8 Conferences/ Symposiums/Workshops Attended (Total 16) 1) Mathematics in Emerging Nations Achievements and Opportunities (MENAO) Symposium, August 12, 2014 at COEX Convention Center, Seoul Korea 2) International Congress of Mathematicians (ICM) Seoul 2014, August 13-21, 2014 at COEX Convention Center, Seoul Korea 3) International Congress of Women Mathematician (ICWM) 2014, August 14, Hall 401, Grand Ballroom at COEX Convention Center, Seoul Korea 4) 8 th IEEE International Conference on Digital Information Management (ICDIM, 2013), in conjunction with First IEEE International Workshop on Data Management (IWDM 2013), September 10-12, 2013, Marriott Hotel, Islamabad, Pakistan 5) HEC Video Conference on Indigenous Scholarship Program, 08, October, 2012 at IUB Bahawalpur, Organized by Learning Innovation Division and Social Sciences Project Team HRD Division HEC, Islamabad in Collaboration with IUB. 6) 4 th Academic Workshop for Effective PhD Supervisor, March 2011 at Bahawalpur, Organized by Learning Innovation Division and Social Sciences Project Team HRD Division HEC, Islamabad in Collaboration with IUB. 7) 8 th International Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan Mathematical Society, August 24-26, ) All Pakistan Mathematical Conference, Islamabad, Pakistan, July 7-9, ) 7 th International Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan Mathematical Society, August 05-07, ) Summer Conference in Mathematics, held at Lahore University of Management Sciences, Centre for Advanced Studies in Mathematics, Lahore, July 29-30, ) One Day Consultative Training on Semester System, held at The Islamia University of Bahawalpur, 5 th June ) National Conference on Semester System, held at Bahauddin Zakariya University Multan, January, ) Workshop on Particle Physics and the Early Universe held at Lahore University of Management Sciences (LUMS) Centre for Advanced Studies in Mathematics, Lahore, April 2-3, ) International Conference on Models and Methods in Fluid Mechanics, held at COMSATS Institute of Information Technology Islamabad Pakistan, July 04-06, ) Digital Library in-house Training Workshop, held at The University of Punjab Lahore by Higher Education Commission Islamabad Pakistan, 1 st June ) All Pakistan Mathematical Conference, held at Government College, Faisalabad from January,

9 Presentations and Invited Talks (Total 09) 1) 8 th IEEE International Conference on Digital Information Management (ICDIM, 2013), in conjunction with First IEEE International Workshop on Data Management (IWDM 2013), September 10-12, 2013, Marriott Hotel, Islamabad, Pakistan 2) Title: Subdivision depth computation for n-ary subdivision curves/surfaces, Computer Graphics International 2010, 8-11 June, 2010, Singapore 3) Title: A 3-point subdivision curve and surface scheme, 10 th International Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan Mathematical Society, August 19-21, ) Title: The four-point ternary approximating scheme for curve design, Summer Conference in Mathematics 2009, held at Lahore University of Management Sciences (LUMS), Centre for Advanced Studies in Mathematics, Lahore, July 27-28, ) Title: A new binary 4-point approximating scheme, 9 th International Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan Mathematical Society, August 22-24, ) Title: Error estimate of subdivision surfaces, 9 th International Pure Mathematics Conference, held at Margallah Hotal Islamabad by All Pakistan Mathematical Society, August 22-24, ) Title: Subdivision curve and surfaces for Geometric Design, 1 st Mathematics Conference at CASPAM, Bahauddin Zakariya University, Multan, Pakistan, July 27-28, ) Title: 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, ) Title: 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 Refereed Proceeding Articles (Total 03) 1) Ghulam Mustafa and Ioannis P. Ivrissimtzis, Model selection for the Dubuc-Deslauriers family of subdivision schemes, in Proceedings of the 14th IMA Conference on Mathematics of Surfaces, page , 2013, (University of Birmingham, Birmingham UK, September 11-13, 2013), The Mathematics of Surfaces-XIV, ISBN , pages: , ) Ghulam Mustafa, Abdul Ghaffar and Mehwish Bari, (2n-1)-point binary approximating scheme, 8th International Conference on Digital Information Management, ICDIM 2013, pp , 2013 (In Proceeding of the First IEEE International Workshop on Data Management (IWDM 2013), Marriott Hotel, Islamabad, Pakistan, September 10, 2013, Pages , DOI: /ICDIM ) 9

10 3) Ghulam Mustafa, Subdivision depth computation for tensor product ternary volumetric model, in Proceedings of the 2009 International Conference on Scientific Computing, Pages , (CSC 2009, July 13-16, 2009, Las Vegas, Nevada, USA) Journal Published Articles (Total 54) 1) Ghulam Mustafa and Pakeeza Ashraf, A family of 4-point odd-ary non-stationary subdivision scheme, SeMa Journal, 67(1), 77-91, ) Ghulam Mustafa, Li Hao, Juyong Zhang and Jiansong Deng, L1-regression based subdivision schemes for noisy data, Computer-Aided Design, 58(2015), , 2015 (Impact Factor 1.515) 3) Ghulam Mustafa and Afshan Hazoor Randhawa, Complete analysis of 3-point binary subdivision scheme, Journal of Pure and Applied Sciences, 24-33(1-2): 21-31, ) Zaheer Abbas, Noor Muhammad, Ghulam Mustafa, NHD stagnation slip over an unsteady stretching surface in porous medium, Scientia Iranica, 21(4), , 2014 (Impact Factor 0.842) 5) Ghulam Mustafa and Syeda Tehmina Ejaz, Numerical solution of two point boundary value problems by interpolating subdivision schemes, Abstract and Applied Analysis, Volume 2014, Article ID , 13 pages (Impact Factor: 1.274) 6) Ghulam Mustafa, Pakeeza Ashraf and Muhammad Aslam, Binary univariate dual and primal subdivision schemes, SeMA Journal, 65(1), 23-35, ) Ghulam Mustafa, Pakeeza Ashraf and Jiansong Deng, Generalized and unified families of interpolating schemes, Numerical Mathematics-Theory Methods and Applications, 7(2014), , 2014 (Impact Factor: 0.767) 8) Pakeeza Ashraf, Ghulam Mustafa and Jiansong Deng, A six-point variant on the Lane-Riesenfeld algorithm, Journal of Applied Mathematics, Volume 2014, Article ID , 7 pages (Impact Factor: 0.720) 9) Muhammad Sadiq Hashmi, Ghulam Mustafa and Faheem Khan, Estimating error bounds for G. Li et. al's subdivision scheme, Science International-Lahore, 26(1), 29-34, ) Pakeeza Ashraf and Ghulam Mustafa, A generalized non-stationary 4-point b-ary approximating schemes, British Journal of Mathematics and Computer Sciences, 4(1), , ) Ghulam Mustafa and Mehwish Bari, A new class of odd-point ternary non-stationary schemes, British Journal of Mathematics and Computer Science, 4(1), , ) Ghulam Mustafa and Muhammad Zahid, Numerical algorithm for analysis of n-ary subdivision schemes, Applications and Applied Mathematics: An International Journal, 2(8), ,

11 13) Ghulam Mustafa and Robina Bashir, Four-point n-ary interpolating subdivision schemes, International Journal of Mathematics and Mathematical Sciences, Vol. 2013, Article ID , 08 pages, ) Faheem Khan and Ghulam Mustafa, A new non-tensor product C^1 subdivision scheme for regular quad meshes, World Applied Sciences Journal, 24 (12): , ) Mehwish Bari and Ghulam Mustafa, A family of 4-point n-ary interpolating scheme reproducing conics, American Journal of Computational Mathematics, 3, , 16) Abdul Ghaffar, Ghulam Mustafa and Kaihuai Qin, The 4-point a-ary approximating subdivision scheme, Open Journal of Applied Sciences, 3, , ) Ghulam Mustafa, Abdul Ghaffar and Muhammad Aslam, A subdivision-regularization framework for preventing overfitting of data by a model, Applications and Applied Mathematics: An International Journal, 8(1), , ) Abdul Ghaffar, Ghulam Mustafa and Kaihuai Qin, Construction and application of 3-point tensor product scheme, Applied Mathematics, 4, , ) Ghulam Mustafa, Jiansong Deng, Pakeeza Ashraf and Najma Abdul Rehman, The mask of odd points n-ary interpolating subdivision scheme, Journal of Applied Mathematics, Vol. 2012, Article ID , 20 pages, 2012 (Impact Factor: 0.720) 20) Ghulam Mustafa, Jayyada Irum and Mehwish Bari, A new 5-point ternary interpolating subdivision scheme and its differentiability, ISRN Computational Mathematics, Vol. 2012, Article ID , 10 pages, ) Abdul Ghaffar and Ghulam Mustafa, The family of even-point ternary approximating schemes, ISRN Applied Mathematics, Vol. 2012, Article ID , 14 pages, ) Abdul Ghaffar, Ghulam Mustafa and Kaihuai Qin, Unification and application of 3-point approximating subdivision schemes of varying arity, Open Journal of Applied Sciences, 2(4B), 48-52, 2012, Supplement to 2012 Word Congress on Engineering and Technology-2012, International Symposium on Applied Engineering and Mathematics (AEM 2012), Beijing China, October 26-28, ) Muhammad Aslam, Ghulam Mustafa and Abdul Ghaffar, (2n-1)-point ternary approximating and interpolating subdivision schemes, Journal of Applied Mathematics, Vol. 2011, Article ID , 12 pages, 2011 (Impact Factor: 0.720) 24) Ghulam Mustafa, Abdul Ghaffar and Faheem Khan, The odd-point ternary approximating schemes, American Journal of Computational Mathematics, Volume 1, , 25) Ghulam Mustafa, and Muhammad Sadiq Hashmi, Subdivision depth computation for tensor product n-ary volumetric models, Abstract and Applied Analysis, Vol. 2011, Article ID , 22 pages, 2011 (Impact Factor: 1.274) 26) Ghulam Mustafa, Faheem Khan, Sadiq Hashmi and M. Zeshan Afzal, A unified three point approximating subdivision scheme, Analysis in Theory and Applications, 27(1), 10-20,

12 27) Ghulam Mustafa, Faheem Khan and Muhammad Sadiq Hashmi, A generalized proof of the smoothness of 6-point interpolating scheme, Journal of Information and Computing Science, 5(4), , ) Ghulam Mustafa and Pakeeza Ashraf, A new six point ternary interpolating subdivision scheme and its differentiability, Journal of Information and Computing Science, 5(3), , ) Ghulam Mustafa and Najma Abdul Rehman, The mask of (2b+4)-point n-ary subdivision scheme, Computing, 90(1-2), 1-14, 2010 (Impact Factor: 1.055) 30) Ghulam Mustafa and Sadiq, Hashmi, Subdivision depth computation for n-ary subdivision curves/surfaces, The Visual Computer, 26(6-8), , 2010 (Impact Factor: 1.073) 31) Kamran Fakhar, Ghulam Mustafa and M. Azram, A random coincidence point theorem for multifunction, International Journal of Pure and Applied Mathematics, 58(4), ) Ghulam Mustafa and Faheem Khan, A new 4-point 12 3 C quaternary approximating subdivision scheme, Abstract and Applied Analysis, Vol. 2009, Article ID , 14 Pages, doi: /2009/ (Impact Factor: 1.274) 33) Ghulam Mustafa, Sadiq Hashmi and Faheem Khan, Error bounds for of University of Science and Technology of China, Vol. 39, No. 6, June, subdivision surfaces, Journal 34) Sadiq Hashmi and Ghulam Mustafa, Estimating error bounds for quaternary subdivision schemes, Journal of Mathematical Analysis and Applications, 358, , 2009 (Impact Factor: 1.119) 35) Ghulam Mustafa, Faheem Khan and Abdul Ghaffar, The m-point approximating subdivision scheme, Lobachevskii Journal of Mathematics, 30(2): , ) Faheem Khan and Ghulam Mustafa, Ternary 6-point interpolating subdivision scheme, Lobachevskii Journal of Mathematics, 29 (3), , ) 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, ) Ghulam Mustafa, Sadiq Hashmi and Faheem Khan, Estimating error bounds for non-stationary binary subdivision curves/surfaces, Journal of Information and Computing Science, 2(3), , ) Ghulam Mustafa and Jiangsong Deng, Estimating error bounds for ternary subdivision curves/surfaces, Journal of Computational Mathematics, 24(4), , 2007 (Impact Factor: 1.049) 40) 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), , 2006 (Impact Factor: 0.721) 41) Ghulam Mustafa, Falai Chen and Jiangsong Deng, Estimating error bounds for binary subdivision curves/surfaces, Journal of Computational and Applied Mathematics, 193, , 2006 (Impact Factor: 1.077)

13 42) Ghulam Mustafa, Random fixed point theorems for contractive type multifunctions, Journal of the Australian Mathematical Society, 78, , 2005 (Impact Factor: 0.333) 43) Ghulam Mustafa, Nusrat Anjum Noshi and Abdur Rashid, Some random coincidence and random fixed point theorems for hybrid contractions, Lobachevskii Journal of Mathematics, 18, , ) Ghulam Mustafa, and Xuefeng Liu, A subdivision scheme for volumetric model, Applied Mathematics-A Journal of Chinese Universities Series B, 20(2), , 2005 (Impact Factor: 0.273) 45) Ghulam Mustafa and Xuefeng Liu, A new solid subdivision scheme, Journal of University of Science and Technology of China, 35(3), , ) 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), , 2004 (Impact Factor: 1.390) 47) Ghulam Mustafa, A double-sequence random iteration process for random fixed points of contractive type random operators, Lobachevskii Journal of Mathematics, 14, 33-38, ) 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), , ) Ghulam Mustafa, Some random coincidence point theorems, Journal of Mathematical Research & Exposition, 23(3), , ) 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), , ) Abdur Rashid and Ghulam Mustafa, A three level pseudo-spectral method for vorticity equation, Gomal University Journal of Research 19, 09-16, ) 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, ) Ghulam Mustafa, Random coincidence point theorems for Kannan type random multi-valued operators on polish spaces, Journal of Pure and Applied Science, 19(2), , ) 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,