Dr. Yousaf Habib
Assistant Professor, Mathematics
Area of Interest: Numerical analysis of ODEs. Geometric Numerical Integration
Tel # (Off): 111-001-007   (182)


I am a numericcal analyst specialising in Geometric Numerical Integration. I am currently working on the following research projects:

1) General Linear methods (GLMs):

  • Construction of higher order G-symplectic GLMs (with Sarfraz Khan).
  • GLMs preserving polynomial invariants via symmetric projection (with Lubna Mustafa)

2) Runge-Kutta methods (RK):

  • Effective order of partitioned RK methods (with Muhammad Junaid, Saba Shafiq and John Butcher).
  • Effective order of RK Nystrom methods (with Muhammad Junaid).
  • Symplectic Effective order partitioned RK methods (with Azqa Arif).
  • Hopf algebra of bicolour rooted trees and associated PRK group (composition of P-series)(with Saba Shafiq) .

The following research projects are available for PhD/MS students:

  • Symplectic Effective order RK Nystrom methods.
  • Analysis of Hopf algebra and Banach algebra in relation to bicolour rooted trees.
  • Order Conditions for  G-symplectic partitioned GLMs. 
  • Energy preserving GLMs.


  • Overseas Scholarship from NUST/Government of Pakistan for PhD.
  • Cambridge Commonwealth Scholarship from Cambridge University, UK for MS.
  • Merit Scholarship from Punjab University for MSc. Mathematics.
  • Presidential Scholarship from Govt. of Pakistan for BSc. Studies.

Conferences and Workshops

  • 4th Seminar on Differential Equations, Dynamical Systems and Applications, (Invited Speaker) Mathematics Department, Zanjan, Iran. 17-19 July 2018.
  • New Interactions of Combinatorics and Probability. (participant) CIMPA-Brazil research school, Universidade de Sao Paulo, Sao Carlos, Brazil. August 24 – September4, 2015.
  • 6th International Conference on Recent Developments in Fluid Mechanics(organizer) School of Natural Sciences, NUST, Islamabad, Pakistan. March 17-19,2015.
  • MATLAB Optimization Tool Box Workshop (organizer and resource person)School of Mechanical and Manufacturing Engineering, NUST, Islamabad, Pakistan. April 14, 2014.
  • NZMASP, New Zealand Mathematics and Statistics Postgraduate Conference (participant). Awarded People Choice Award for the presentation. Foxton Beach, New Zealand. November  23-26, 2009.
  • PRIMA, Pacific Rim mathematical Association Congress (participant) University of New South Wales, Sydney, Australia. July 6-10, 2009.
  • SciCADE, International Conference on Scientific Computation and Differential Equations (participant). Chinese Academy of Sciences, Beijing, China. May 25-29, 2009.                              
  • GLADE, International Conference on General Linear Methods For Differential Equations (organizer). University of Auckland, New Zealand. July 14-18, 2008.
  • NZMASP, New Zealand Mathematics and Statistics Postgraduate Conference (participant). University of Canterbury, Christchurch, New Zealand. December 12 - 15, 2007.
  • AMS – NZMS, First Joint Conference of American Mathematical Society and New Zealand Mathematical Society. (participant).  Victoria University of Wellington, New Zealand. December 12-15, 2007.

Research Supervisions

  1. Lubna Mustafa (MPhil Mathematics -  in progress)
  2. Sarfraz Khan (MPhil Mathematics -  in progress)
  3. Muhammad Junaid (Co-supervisor) (PhD Mathematics – in progress)
  4. Saba Shafique (MPhil Mathematics -  thesis writing)
  5. Azqa Arif (MPhil Mathematics – thesis writing)
  6. WajeehaIrshad(MPhil Mathematics -  2017)
  7. Amber Masood (MPhil Mathematics 2015)
  8. Samina Ashraf (MPhil Mathematics 2014)
  9. Rabia Aziz          (MPhil Mathematics 2013)
  10. Rafay Mustafa(MPhil Mathematics 2013)


Journal Papers:
1. J. Ahmad, Y. Habib, S. Shafiq, S. ur Rehman, J. C. Butcher. (2018), "Effective order of partitioned Runge—Kutta methods", (submitted)   
2. Y. Habib, W. Irshad, M. Umar Faqrooq (2018), "First Integrals of Dynamical Systems And Their Numerical Preservation.", (submitted)   
3. Y. Habib; R. Mustafa; M. A. Qureshi (2017), "G-symplectic integration of many body problems", BIMS, Impact Factor: 0.287   
4. Muhammad Khurram, Riaz Ahmad Mufti, Muhammad Usman Bhutta, Yousaf Habib, Arslan Ahmed and Naqash Afzal (2015), "A numerical approach to calculate creep in roller follower valve train basing on friction and lubrication modeling", Transactions of the Canadian Society for Mechanical Engineering, Impact Factor: 0.333   
5. J. C. Butcher, Y. Habib, A. T. Hill, and T. J. T. Norton. (2014), "The control of parasitism in G-symplectic methods", SIAM J. NUMER. ANAL , pp: 2440–2465, Vol: 52, Issue: 5, Impact Factor: 1.79   


PhD. Mathematics, (Supervisor: Prof. John Butcher)
University of Auckland, New Zealand
MS. Math (Part 111 MATH) (Supervisor: Prof. Arieh Iserles)
Cambridge University, UK
MSc. Mathematics
University of Punjab , Pakistan
BSc. (Mathematics and Physics)
Govt. College University Lahore, Pakistan


Assistant Professor
CIIT Lahore
2017 to Date
Assistant Professor
NUST Islamabad
2011 to 2017
Lecturer / Tutor
University of Auckland, NZ
2007 to 2009
MCS, NUST, Islamabad
2005 to 2006

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