#### Khawaja Zafar Elahi

# Khawaja Zafar Elahi

Associate Professor,

Off: 00966 1 4676482

Mobile: 00966 509870956

E-Mail:

kzelahi@ksu.edu.sa;

kzelahi@gmail.com

Web Page: http://faculty.ksu.edu.sa/khawaja/default.aspx**https****://www.facebook.com/khawaja.z.elahi****https://www.facebook.com/groups/590934620947096/**

**Summary of experience:**

Over **43** years of experience in teaching and research in Saudi Arabia, Germany, and Pakistan.** Area of expertise**:

Applied Mathematics, Computational Modeling and Dynamical Oceanography.

**Professional Experience:**

Oct.1995 - date: Associate Professor in Applied Mathematics**Sep.1981 -Oct.1995:** **Assistant Professor in Applied Mathematics****Department of Mathematics, King Saud University, Riyadh.**

** July 1979 - Sep.1981: Assistant Professor in Applied Mathematics,**** Department of Mathematics, Quaid -I-Azam University,**** Islamabad.**

** Sep.1973 - July 1979: Lecturer in Applied Mathematics,****Department of Mathematics, Quaid -I-Azam University, Islamabad.**

** Mar.1974 - Oct.1977: Doctoral Research Student (DAAD, German Exchange Program).**** Institute of ****Fluid**** Mechanics and Computer Sciences,**** Faculty of Civil Engineering, Technical University Hannover, Hannover, Germany**.

**Worked as referee for**

**KACST research projects****Promotion to Associate Professor in Tabuk University.**

**Post Graduate Teaching**

**Post Graduate Courses**

** 612M Methods in Fluid Dynamics**

This course was developed for the post graduate students of Faculty of Science, King Saud University.

** 512M Fluid Dynamics**

This course was developed for the post graduate students of Faculty of Science, King Saud University.

**505M Numerical Linear Algebra**

This course was developed for the post graduate students of Faculty of Engineering, King Saud University. I have developed it and have taught this course many times.

**506M Numerical Solution of Ordinary and Partial Differential Equations**

This course was developed for the post graduate students of Faculty of Engineering, King Saud University. I have developed it and I have been teaching this course since 1985.

These courses were developed for the post graduate students (M.Sc and P.hd ) of

King Saud University, Riyadh.

**Post Graduate Courses for students of M.Phil**

**Boundary Layer Theory**

**Turbulence**

These courses were developed for the post graduate students (M.Phil) of Department of Mathematics, **Quaid I Azam University, Islamabad, Pakistan**.

I taught these courses from 1979 - 1981.

**Post Graduate Courses student of M.Sc**

**Fluid Mechanics.****Mechanics of continuous media.**

Theses courses were developed for the post graduate students (M.Sc) of Department of Mathematics, **Quaid I Azam. University, Islamabad**, Pakistan.

I taught these courses from 1979 - 1981

**MASTERS AND M.Phil SUPERVISION:**

- Solution of non- linear Partial differential equations in Fluid Dynamics

Nasreen Kauser for M.Phil, Quaid I Azam. University University , Islamabad 1981

- Numerical model of the tide in the Bay of Bengal,

Tahira Tasneem for M.Phil Quaid I Azam. University University , Islamabad 1981

- Numerical model of the Hydrodynamics in the Arabian Gulf.

Ohood Bint Hamad Al Dabiyan for M.Sc King Saud University, Riyadh 2009.

**Courses Co-ordination**

- M-204 From Year 1416 – 1426 (11 years )
- M- 105 From Year 1412 – 1416, 1427- 1430 (8 years)

- M-107 From Year 1430 – to date (5 years)

I have done my job of coordination with the satisfactions of my colleagues, students and the chairman. As a coordinator of courses M- 105 and M – 204 , I introduced the multiple choice examinations system. I developed lecture notes for these courses to help my colleagues and students.

**I am teaching using SMART board. I am posting my lectures on M 107 and M 506 on my Web Site and students can access these**.

** Undergraduate Teaching**

For 33 years I have been teaching and contributing to the development for a number of courses for the Engineering students including the following:

**Numerical Analysis****Applied Mathematics****Linear Algebra****Differential equations****Vector Calculus****Calculus of one variable****Calculus of several variables****Calculus for the students of Pharmacy****Calculus for the students for of Medicine****Numerical solutions of ordinary and partial differential equations**

**Courses development /improvement**

Being a member of the Applied Mathematics specialist group at King Saud University, Riyadh,

I contributed in developing program for the graduate and postgraduate students.

Particularly, I have developed courses on

**Calculus****Differential Equations****Numerical Analysis,****Numerical Linear Algebra,****Numerical solutions of Ordinary and Partial Differential Equations**

I have developed Multiple Choice System for the First Calculus course, which is supported by the Bank of problems and lecture note on the Calculus of one variable.

I have developed Multiple Choice System for the Differential Equations course, which is supported by the Bank of problems and lecture note on the Differential Equations for the Engineering Students.

During my carrier I have developed lecture notes on differential subjects, which are being used by my colleagues and students.

**1.****Lecture Notes for the course of Differential Calculus of one variable.**

**Lecture Notes for the course of Vector Calculus and Linear Algebra .****Lecture Notes for the course of Numerical Analysis.****Lecture Note for the Differential Equations for the Engineering Students****Lecture Note for the Numerical solution of ordinary and partial differential equations for the post graduate Engineering Students**

**Books**

** 1. Differential Equations**** Co-author with Dr. Mustafa and Dr Saad Maslub. (Completed) **** 2. Linear Algebra for Engineers**** Dr. Rizwan will be co-author ( In progress)**

**E-Learning****Developing course on Linear Algebra and Calculus under**

** KSU Digital Course Project**

**Graduate Thesis Examiner/ Evaluator of research proposals**

I have been on the panel as an external examiner for three Master’s Thesis of Faculty of Computer Sciences at the King Saud University.

I have been working with KASCT for evaluation of research proposals.

** ACADEMIC DISTINTIONS:**

**1.Gold Medalist of Punjab University, being First Position holder in M.Sc (1971).****2. Research fellow, Quaid - I - Azam University, Islamabad (1971- 1973).****3. Research fellow, DAAD Bonn, Germany (1974 - 1977).****4. ****Research Fellow, Interantional center for mechanical sciences year 1976, 1978 , Udina , Italy****5. ****Associate member for year 1983, International center for theoretical Physics, Trieste, Italy.**

**Projects Completed:**

- Principal Investigator in a Research Project on

“Numerical Study of the Physical processes along the coastal areas of Pakistan”,

from Quaid - I - Azam University, Islamabad (1980 - 1981).

- Principal Investigator in a Research Project on

“ Study of the Physical processes governing currents along the coastal areas of Pakistan”,

from UNESCO/UNDP PAK/77/010/MATHEMATICS I(1979 - 1981).

- Principal Investigator in a Research Project on

“Prediction of Tides in Pakistan Waters”, Pakistan Navy, Islamabad (1981)

- Principal Investigator in a Research Project on “Reproduction of the Tidal phenomena in the Bay of Bengal" Research center, College of Science , King Saud University /Math/1419/25 (1998-2000)

**PUBLISHED PAPERS: **

** 1. Khawaja Zafar Elahi (1978)**

## Berechnung von lokalen Gezeitenphanomennen in einem Gebiet mit geringem beobachtngsmaterial mit Anwendng auf die Sonmiani-Bucht (Pakistan) Mitt. des Franzius-Inst. der Univ. Hannover Nr. 48, p. 171- 315, Hannover.

** 2. Khawaja Zafar Elahi (1978)**

The wind -driven circulation in the Northern Arabian Sea, Proc. ASCE

16th Int. Conf.Coastal Eng., vol . 4, p. 2708-2714. ** 3. J. Sundermann, Khawaja Zafar Elahi (1979)**

Constructional effect on the dynamical processes in a tidal inlet, Proc. 18th IAHR Congress, vol. 4, p. 21-221, Calgary.** 4. Khawaja Zafar Elahi , Saleem Asghar (1980)**

Mathematical investigation for improvement of approach channel (Sonmiani-Port), Eleventh Annual Iranian Mathematical Conference, Mashad,

p. 74-83.** 5. Khawaja Zafar Elahi , M. Shafique (1980)**

Harmonic constants in the Arabian Sea, Univ. of Punjab Journal of Mathematics, vol. XIII, p. 55-67.** 6. Khawaja Zafar Elahi , K. Rashid (1981)**

Mathematical model of the Northern Arabian Sea , Ocean Management, vol. 6, p.149-158.** 7. M.A.Noor, Kh.Z.Elahi and K.I.Noor (1982)**

Mixed Finite Element Method for non-linear problems, Proc. 4th Int. Conf.on Finite Elements in Water Resources, p. 2.91 - 2.99, Hannover.** 8. Kh.Z.Elahi , M.A.Noor (1983)**

Tidal Dynamics of the Pakistani Coastal Waters, Proc. Int. Conf. on coastal and port Engineering in developing countries, VII. pp. 1330-1339, Colombo.** 9. Khawaja Zafar Elahi and J. Sundermann (1989)**

Tidal Charts of the Arabian Sea North of 20oN. Pak. J. Sci. Ind. Res., vol.33 No.10. Oct. 1989, pp. 672-678. ** 10. Khawaja Zafar Elahi (1991)**

A Numerical model for tides in the Gulf of Oman, The Arabian J. of Sci. and Eng. Vol. 16, No.2A. ,pp. 173-188.**11. Khawaja Zafar Elahi and R.A.Ashrafi (1992)**

Computer modeling of the Tides of the Arabian Gulf, Computer modeling of Sea and Coastal Regions, Ed. Partridge, Computational Mechanics Publications, Southampton, pp. 161-173.** 12. Khawaja Zafar Elahi and R.A.Ashrafi (1992)**

Tidal modeling of the Arabian Gulf, Hydraulic and Environmental Modeling Coastal Waters Ed: Falconer, R.A., Chandler-Wilde & Sqlin, Ashgate Pub. Ltd. U.K.,pp. 89-98.** 13. Khawaja Zafar Elahi and R.A.Ashrafi (1993)**

A Numerical model for the tides in the Arabian Gulf, The Arabian J. of Sci. and Eng. Vol. 18, No.1. ,pp. 63-73.** 14. Khawaja Zafar Elahi and R.A.Ashrafi (1994)**

A two dimensional depth integrated numerical model for tidal flow in the Arabia gulf, Acta Oceanograhic Taiwanic, No.32, pp. 1-15.** 15. Khawaja Zafar Elahi (1994)**

Numerical Modelling of M2-tide in the Bay of Bengal, Acta Oceanographic , No33, pp.39-48.** 16. Khawaja Zafar Elahi (1995)**

A Numerical model for the tide in the Pakistani coastal waters, Pak. J of Sci. and Ind. Res.,vol.38.No.3-4, pp.152-158.

CONFERENCES ATTENDED / PARTICIPATED

1. Participated in the All Pakistan Mathematics Conference, Lahore, Pakistan ,1977.

2. Attended 17th Congress of the International Association of Hydraulic Research, Baden - Baden , Germany, 1977.

3. Participated in the 16th Coastal Engineering Conference, American Society of Civil Engineering , Hamburg, Germany, August 27 to Sep. 9, 1978.

4. Participated in the 18th Congress of the International Association of Hydraulic Research, Calgary, Itlay, Sep. 10 - 14 ,1979.

5. Participated in the 17th General Assembly of the International Union of Geodesy and Geophysics , Canberra, Australia, Dec 2 - 15 , 1979.

6. Participated in the 11th Annual Iranian Mathematical Conference, Mashad , Iran, 1980.

7. Attended the International Conference on Recent Technological Advances in Earth Sciences Studies, Quaid - I - Azam University, Islamabad , 1980.

8. Participated in the 1st Conference of Mathematics, Riyadh, Saudi Arabia, 1982.

9. Participated in the International Conference on Coastal and Port Engineering in Developing countries, Colombo, Sri Lanka, March 20 - 26, 1983 .

10. Participated in the 18th General Assembly of the International Union

of Geodesy and Geophysics/International Association for the Physical

Sciences of Ocean, Hamburg, Germany, August 15 - 27 , 1983.

11. Attended the 7th National Conference, Riyadh, Saudi Arabia, Jan.21-25,1984.

12. Participated in the International Conference on Computer modeling of Seas and

Coastal regions, Southampton, U.K., April 27-29,1992.

13. Participated in 2nd International Conference on Hydraulic and Environmental

Modeling of coastal, Estuaries and River Waters, Bradford, U.K., Sep. 22-4,1992.

14. Attended the Annual Conference of the Saudi Arabian Mathematical Society, Riyadh, April 5-7,1994.

15. Participated in the school on Numerical Simulation on Partial Differential Equations: Methods, Algorithms, Applications. ICTP , Trieste, Italy, Sep. 9 - 27, 1996.

16. Attended “The 2nd Forum for University Teaching, Learning Outcomes Assessment”, King Saud University, Riyadh. Feb 9 -12, 2013

17. Attended Workshop on “ Establishing Science Mathematical Research Institute, King Saud University, Riyadh, Feb 19, 2013.

18. Attended Workshop of E- Learning, King Saud University, Riyadh, Feb 24, 2013.

19. Attended Training program on Black Board and Software for Distance learning,

King Saud University, Riyadh, Nov, 2013.

20. Attended Training program on Smart Board, King Saud University, Riyadh, Nov, 2013.

21. Attended workshop on Equilibrium and optimization Methodology in Finance and Economics. Riyadh, King Saud University, Nov 9 – 11 2015.

**Personal Details:**

** Date of birth: ** 08 - 05 - 1950

** Place of birth**: Mandi Baha ud Din , Pakistan

** Permanent Address:** Insaf Cloth House

Mandi Baha ud Din

Pakistan

** Present Address:** Department of Mathematics

King Saud University

P.O.Box 2455

RIYADH 11451

SAUDI ARABIA**Education:**

1974 - 1977 **Dr.-Ing.** (Computational Fluid Mechanics).

Institute of Fluid Mechanics and Computer Science,

Faculty of Civil Engineering, Technical University Hannover,

Hannover, Germany.

1971 - 1973 **M.Phil.** (Applied Mathematics)

Institute of Mathematical Sciences,

Quaid - I- Azam University, Islamabad, Pakistan.

1969 - 1971 **M.Sc.** ( Applied Mathematics)

Department of Mathematics ,

Punjab University ,

Lahore, Pakistan.**Merit: First Position was obtained in order of merit and was awarded with Gold Medal**.

1967 - 1969 **B.Sc**.(Mathematics & Physics)

Punjab University,

Lahore , Pakistan.