Projects:

Programmering i skolen

Digital technologies have revolutionized our society; children today grow up and live in a world where they encounter

and interact with "IT" almost everywhere. The challenges posed by introducing digital education in schools,

as well as in teacher's education institutions, are manifold. One of them is the lack of programming competence

among in-service teachers as well as future educators.  To introduce formal computing education in Norway,

the Norwegian Ministry for Education and Research has initiated a national pilot project,

with computer programming as a subject in lower secondary schools. This project aims to create a programming

environment and to enhance the competence level with the student teachers at Nord University

as well as in-service school teachers.  

Seminar om programmering i skolen:

Click here to read more about the seminar

EEA Project- iTEM (Improve Teacher Education in Mathematics)

One of the aims of this project is to develop and make more intensive and  fruitful cooperation between the employees of the Department of

Mathematics and Didactics of Mathematics of the Faculty of Science, Humanities, and Education of the Technical University of Liberec and the Faculty of Education and Arts of the NORD University in Bodø in the area of improving teacher education in Mathematics in both the partner universities.

The project has two objectives in unity. The first goal of the project is to prepare teacher students to

master the challenges of the increasing diversity (including Roma inclusion) of students in a class.

The second goal is to prepare teacher students to meet the challenges of using digital tools both

as a subject and as a tool for teaching.

For more information click here

HOMsPy:Higher Order (Symplectic) Methods in Python

HOMsPy is a collection of python routines designed to generate numerical code for solving the differential equations generated by a Hamiltonian.

The main goal of this program is to provide a framework for solving Hamiton´s equations by some higher-order symplectic algorithms (proposed in our work) which automatically constructs the numerical solver for each specific Hamiltonian T+V, where T is non-relativistic kinetic energy, and V is potential energy. The implemented schemes are based on our extensions of the Stormer-Verlet method. Explicit implementation of the numerical code for a specific potential may be rather laborious and erroneous to do by hand since repeated differentiation (with respect to many variables) and multiplication by lengthy expressions are often involved.

Therefore a code-generating program, HOMsPy, is written in  Python. This program takes the potential V as input, performs all necessary algebra symbolically, and automatically writes a python solver module. The program also writes a runfile example (driver module) which demonstrate how the solver module can be used

mv2me: Move to me project    (With VUTBR Brno, Czech Republic)

mv2me is a European project and collaborated between NTNU, Trondheim Norway and VUTBR, Brno Czech Republic.

The main goal is to build numerical programs which simulates a set of containers being moved between discrete equilibrium positions of a static two-dimensional backbone matrix. Each container should by itself be a rigid structure, and include only passive components (like f.i. a set of permanent magnets placed in fixed locations with fixed orientations). The background matrix may contain similar passive components and sensors, but also electromagnets controlled by computer logic, for levitation and propulsion. The program should allow for a certain amount of noise and systematic drift in the parameters characterizing the individual components. We want use this program to theoretically optimize the construction of containers and backbone, with the goal of realizing a physical prototype of the system at an appropriate stage.

uniCQue: Uncertainty reduction in monitoring methods for improved CO2 Quantity estimation (With Sintef Petroleum)

The work on this project has collaboration with Sintef Petroluem Trondheim Norway. This project addresses

uncertainties in inversion methods used for CO2 monitoring. Various ways of quantifying uncertainties

in monitoring methods and how to reduce these uncertainties for a particular site will be investigated.

The project consists of three main tasks:

1. Set up benchmark environment from existing FWI and CSEM inversion codes.

2. Develop uncertainty quantification method for CO2 monitoring.

3. Optimize / tailor monitoring strategies for reduced uncertainty.

We suggest the constructed of two Python classes, built on routines in numpy and scipy, in particular

routines in scipy.sparse, with numerical wave equation solvers in the frequency and/or time domain

implemented by use of these classes and existing scipy routines. A module with example calculations

and presentation of results is anyway required for debugging and testing.

This may be implemented through an additional class.

A project on wind resource assessments:       (With Sintef ICT)

Wind energy is emerging as a good competitor and alternative to the more conventional renewable energy

as well as to the energy derived from fossil fuels and is considered the most economical, viable and

environmental friendly. Europe is leading in wind energy across the world. It is rapidly growing field

in Norway where the primary source of electricity is hydro-power and hence already has a mechanism

in place to deal with the uncertainty associated with it.

The wind farm installation has been increased tremendously around the word specially in Europe.

In order to get optimal production from the wind turbines, selection of the location is a very basic

and vital step in the installation procedure. There are many questions to address in order to

select a best site for the wind farm. For instance:

is the wind speed steady most of the time?

what is the direction of wind mostly?

what should be the speed of wind to get the optimal production from wind turbine at that site? 

what should be maximum height of wind turbine etc?

All these questions about the suitability of location can be addressed with technical study of wind power. In this project the  analysis of the statistical characterization of data from Bessaker wind form. The statistical analysis has a great significance to the construction and operation of the wind farm. This project provides the base for validation of numerical simulation and also provides the platform for technical requirements which can be helpful to select the location for setting up a wind farm.

Compendium for Ph.D course: Mathematical approximation methods in physics (given at the Department of Physics, NTNU)

In this project a compendium for a Ph.D course of Mathematical Methods in Physics was written. The main task was to organize and clean the lecture notes,  and code the manuscript in Latex. This compendium is fully functional in department of physics in the said course.

Publications:

1. Hybrid Deep Learning Framework for Reduction of Mixed Noise via Low Rank Noise Estimation 2022, IEEE Access: Volum 10, s. 46738-46753 ; Kim, DAI-GYOUNG; Ali, Yasir; Farooq, Muhammad Asif; Mushtaq, Asif; Rehman, Muhammad Ahmad Abdul; Shamsi, Zahid Hussain

2. D.G.Kim, Z.H.Shamsi, A.Mushtaq, M.Hussain, M.Adnan, M.A.Farooq. "Mixed Noise Removal Using Adaptive Median Based Non-Local Rank Minimization" IEEE Access, Vol 9 (January, 2021)
   

   
   
3. M.A. Farooq; A. Salahuddin; A. Mushtaq; M. Razzaq,  "A Simplified Finite Difference Method (SFDM) Solution via Tridiagonal Matrix Algorithm for MHD Radiating Nanofluid Flow over a Slippery Sheet Submerged in a Permeable Medium", Mathematical problems in engineering (February, 2021)
   
   
4. A.Mushtaq, A. Noreen, K. Olaussen, “Numerical solution of Quantum Mechanical Eigenvalue Problems ” Frontier in Physics; Mathematical and Statistical Physics, Vol. 8, S. 1-10 (September, 2020) Click here
   
   

5. M. A. Frooq, A. Salahuddin, M. Razzaq, S. Hussain, A.Mushtaq, “Computational analysis of unsteady and steady magnetohydrodynamic radiating nano fluid flows past a slippery stretching sheet immersed in a permeable medium ”  Scientia Iranica, International Journal of Science and Technology, Vol. 27, (December, 2020)
   
   

   
   

6. M. Irfan, M. A. Farooq, A.Mushtaq, Z.Shamsi, “ Unsteady MHD Bionanofluid Flow in a Porous Medium with Thermal Radiation near a Stretching/Shrinking Sheet” Mathematical Problems in Engineering, Volume 2020  (November, 2020)
   

   
   

   
   
7. Z. Shamsi, A. Noreen, A. Mushtaq, “Analysis of quantum coherence for localized fermionic systems in an accelerated motion" Results in Physics, Vol. 19 (August, 2020)
   
   
8. M. A. Farooq, R. Sharif, S. Naz, A. Mushtaq, “Numerical Comparison of Constant and Variable Fluid Properties for MHD Flow over a Nonlinearly Stretching Sheet” IAENG International Journal of Applied Mathematics Vol 50 (2), 384--395  (June, 2020) Click here
   
   
   

9. M.Irfan, M. A. Farooq, T. Iqra, A. Mushtaq, Z.Shamsi , A Simplified Finite Difference Method (SFDM) for EMHDPowell–Eyring Nanofluid Flow Featuring Variable ThicknessSurface and Variable Fluid Characteristics“ Mathematical Problems inengineering, Vol 2020 (December, 2020).
   
   

10. A. Mushtaq, A. Noreen, A. Farooq, “Numerical Simulations for the Toda Lattices Hamiltonian system: Higher Order Symplectic Illustrative Perspective”,  PLOS ONE, Vol 14 (04), 1--22 (April, 2019).  Click here
    

    
    

11.  Z. Afzal, M. Y. Bhatti, N. Amin, A. Mushtaq,C. Y. Jung, "Effect of Alpha-Type External Inputon Annihilation of Self-Sustained Activity in a Two PopulationNeural Field Model" IEEE Access, Vol 7 (01), 108411--108418 (December, 2019). Click here
    
    

12. A. Mushtaq, M. Asif Farooq, R. Sharif and M. Razzaq."The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet" Journal of Physics Communications 2019 ;Volum 3.(9) s. 095005.  Click here
    

    
    
13. Razia, A. Farooq, A. Mushtaq, “MHD Study of Variable Fluid Properties and Their Impact on Nanofluid over an Exponentially Stretching Sheet”, Journal of Nanofluid, Vol 8, 1249—1259 (June, 2019)
    
    
14. A. Mushtaq, Geometric Numerical Integration with HOMsPy,   IAENG Int. Journal  of Applied Mathematics (IJAM), Vol. 45(4), pp-383-391, (14 November, 2015)
    
    
15. A. Mushtaq,  A. Kværnø, K. Olaussen, Scientific Computing with HOMsPy,  Lecture Notes in Engineering and Computer Science, Vol I, Hong Kong  (2015).
    
    
16. A. Mushtaq,  T. Kvamsdal, K. Olaussen, Python Classes for Numerical Solution of PDEs, Lecture Notes in Engineering and Computer Science, Vol II, Hong Kong  (2015).
    
    
17. A. Mushtaq, K. Olaussen, Automatic code generator for higher order integrators, Computer Physics Communications (CPC), Vol 185 (5), 1461-1472 (May 2014).
    
    
18. A. Mushtaq, A. Kværnø, K. Olaussen, “Higher-Order Geometric Integrators for a Class of Hamiltonian Systems”, International Journal of Geometric Methods in Modern Physics (IGJMMP), Vol 11 (1), 1450009-1-20 (2014).
    
    
19. A. Mushtaq, A. Kværnø, K. Olaussen, Systematic Improvement of Splitting Methods for the Hamilton Equations, Proceedings of the World Congress on Engineering, Vol 1, London (2012).
    
    
20. A. Mushtaq, A. Noreen, I. Øverbø, K. Olaussen, Very-high-precision solutions of a class of Schrödinger type equations, Computer Physics Communications, Vol 182, 1810- 1813 (2011).
    
    
21. A. Rasheed, A. Mushtaq, Numerical Analysis of the Flight Condition at the Alta Airport, Norway, Aviation, Vol 18, No. 3 (September, 2014).
    

 REPORTS/THESIS:

1. Asif Mushtaq, “Effective Project Work of the Course MA:2501 Numerical Methods in Groups”

        (For University-level Mathematics Teaching course). Trondheim Norway: Universitetet i Agdar and NTNU (February, 2017)

    2. Asif Mushtaq,  Higher Order Integrators for Hamilton´s Equations: Modified symplectic algorithms, Department of mathematical scineces, NTNU, Trondheim,

       ISBN 978-82-326-0541-5

   3.  Asif Mushtaq,  Some finite difference methods for elliptic equations, Department of mathematics, Government College University (GCU) Lahore Pakistan.

   4. Asif Mushtaq, Trond Kvamsdal,  Statistical Analysis of Wind speed data, SINTEF A26262, SINTEF ICT, June 2014, Trondhei ISBN: 978-82-14-05358-6.

SCIENTIFIC TALKS:

1. A. Mushtaq, Modified integrators,  Norway-Czech workshop, Brno University of Science and Technology, Brno Czech Republic  (15-22 November, 2015).
   
   
2. A. Mushtaq,  Automatic Code generator for Hamilton´s Equations,  Symposium talk in Theoretical Physics Department, NTNU, Trondheim (15-10-2015).
   
   
3. A. Mushtaq, Higher order integrators for Hamilton´s equations: Modified Symplectic Algorithms, Ph.D thesis presentation, NTNU, Trondheim (14 November, 2014)
   
   
4. A. Mushtaq, Stochasitic differential equations with Jumps, Trial lecture talk for the Ph.D defence, NTNU, Trondheim (14 November, 2014)
   
   
5. A. Mushtaq,  Statistical Analysis Windmast data from Bessaker wind farm, Seminar talk in SINTEF ICT, 27 May 2014, Trondheim.
   
   
6. A. Mushtaq, Scientific Computing with HOMsPy: Higher Order(Symplectic) methods in Python, World Congress on Engineering (WCE2015), IAENG International Association of Engineers ; Hong Kong; 2015-03-18--2015-03-20.
   
   
7. A. Mushtaq,  Higher order splitting methods, BIT Circus 2012 Numerical Mathematics and Computational Science, Copenhagen Denmark; 2012-08-23 - 2012-08-24.
   
   
8. A. Mushtaq, Higher order splitting methods for a class of Hamiltonian equations, International Conference on Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF-13), Martin-Luther-University Halle-Wittenberg (Germany); 2012-09-10 - 2012-09-14.
   
   
9. A. Mushtaq, Systematic Improvement of Splitting Methods for the Hamilton Equations, World Congress of Engineering (WCE 2012), IAENG International Association of Engineers; London; 2012-07-04 - 2012-07-07.

 POSTER PRESENTATIONS:

1. Asif Mushtaq,  A. Rasheed. T. Kvamsdal, M. Tabib. Statistical analysis of wind mast data from the Bassaker Wind Farm. EERA DeepWind 2015, 12th Deep Sea Offshore Wind R&D Conference, Norwegian Research Center for Offshore Wind Technology, Trondheim. 2015-02-04 - 2015-02-06.
   
   
2. Tabib, Mandar; Rasheed, Adil; Kvamsdal, Trond; Mushtaq, Asif; Fonn, Eivind; van Opstal, Timo Matteo; Kvarving, Arne Morten. Investigation of the impact of wakes and stratification on the performance of an onshore wind farm. EERA DeepWind 2015, 12th Deep Sea Offshore Wind R&D Conference . NOWITECH (Norwegian Research Center for Offshore Wind Tech.); Trondheim. 2015-02-04 - 2015-02-06.
   
   
3. Asif Mushtaq, Amna Noreen, Very-high-precision solutions of a class of Schrodinger equations  Conference on Computational Physics, CCP, Trondheim Norway; 2010-06-23 - 2010-06-26.