Surname : KOÇAK
E-Mail :,
Phone Number : +90 312 203 34 38
Title : PROF.DR.
Personal Information
Under construction - January 2018
Title and name         : Prof. Dr. Mehmet Çetin KOÇAK
Birth date and place: 04.08.1951, Antakya, Hatay, Turkey
Work address           : Ankara University, Engineering Faculty, Chemical Eng. Department, Tandoğan 06100,
                                     Ankara, Turkey
Tel. No.    : +90-312-203 3438,    Fax No.: +90-312-212 15 46
e-mail      :,
Scopus Author ID: 7005150102
Orchid ID              : 0000-0003-1927-0513
Researcher ID      : D-6105-2011
I was born in Antakya on 4th of August, 1951. I finished Antakya Lycee and entered Chemical Engineering Department of Istanbul University in 1968. Having won a Turkish Ministry of Education scholarship to study abroad, I went to Britain in 1969 and earned my B.Sc, M.Sc., and  Ph.D degrees there before returning home in 1980. I worked as a researcher at Ankara Nuclear Research and Training Center for about six years. Subsequently, I moved to Chemical Engineering Department of Ankara University to start an academic career as an assistant professor.  I received my associate professorship in 1991 and full professorship in 2009. I have completed 4 projects including an FP6 coordination action and supervised four M.Sc. theses.
Most of my publications are single-authored. So far, 49 publications have given me 54 citations.
•   Bursaries, supports, and prizes
•   Higher education
•   Work
•   Membership
•   Main achievements
•   Main research interests
•   Near future interests
•   Completed projects
•   Supervised theses
•   Undergraduate courses
•   Graduate courses
•   Invited lecture
•   Own publications: Thesis
•   Own publications: Journal articles, conference presentations, and books
•   Citations
•   References
Note that K, C, and R respectively label own work, citation, and reference.
PERIOD              DESCRIPTION                                                                                            
1964-1968          State boarding school bursary
1968                    Basic sciences bursary from Scientific and Technological Council of Turkey
1969-1980           Turkish Ministry of Education scholarship to study abroad
1974                    Anglo-Turkish Society Essay Prize
1974                    British Council Overseas Students Fees Award
1985                    ICTP support for the Third College on Microprocessors
1985                    ICTP support for the 2nd Workshop on Mathematics in Industry
2017                   Visiting scholar support, University of Illinois at Urbana-Champaign (UIUC)
DEGREE              UNIVERSITY                  DEPARTMENT               
B.Sc.                    Birmingham (England)    Chemical Engineering     1975
M.Sc.                    Salford (England)           Chemistry                        1976
Ph.D.                    Aston (England)              Chemical Engineering     1980
PERIOD              DESCRIPTION                                                                                            
1974 Summer     Vacation training, Commonwealth Zinc Smelting Co., Avonmouth, Bristol
1977-1979           Demonstrator, Aston University
1980-1986           Researcher, Ankara Nuclear Research and Training Centre
1986-1991           Assistant professor, Chemical Engineering Department, Ankara University
1991-2009            Associate professor, Chemical Engineering Department, Ankara University
2009-                    Full professor, Chemical Engineering Department, Ankara University
2004-2007            Associated professor representative on Faculty Board of Engineering Faculty
2016-2017            Visiting scholar at Beckman Institute, UIUC, USA
Associated Member of  IChemE (1977-2014)
• My doctoral work culminated in a CSSL-type, Fortran-based, simultaneous modular dynamic simulation package called ACES. The latter achieved simultaneity via its novel twice-round execution of dynamic modules whenever the initially selected integration driver needed fresh derivatives. In the first round, each module retrieved its own state-variables from an up-to-date composite vector and attended to some local algebraic equations. In the second round, each module did further local calculations if necessary before estimating and forwarding derivatives for co-integration by the driver.
My pertinent works are labelled K3, K4, K8, K13, K14, K15, K32, and K34.
• An interesting opening was a standard factorial experimental design application to optimize oxidative thermal decomposition of low density polyethylene (LDPE) in a semi-batch system. Preliminary experiments indicated that the reaction temperature (T), the reaction time (t), and the air feed rate ( ) were the three most important factors (inputs)
affecting the three outputs of interest, namely the acid number ( ), the liquid yield ( ), and the peroxide number ( ). It was decided to employ the form   to link each output to the inputs x.
Notice that this response surface had 7 coefficients k to be determined by the principle of least squares. Allowing two levels (low and high) for each variable, the standard factorial experimental design required   runs which changed all inputs simultaneously rather than one at a time, thereby reducing the number of experiments needed. A ninth run was added with medium level (nominal) inputs to obtain a measure of the error involved. Let F be a   design matrix where each row is associated with a run and the columns are ones,  ,  ,  ,  ,  , and   respectively. Further, let  denote the (Moore-Penrose generalized) pseudoinverse of F, i.e.  . The so-called normal equations are   where   and  . The formal least squares solution is  . (In Matlab, simply write .) Now, it is known that because variables in models are often highly correlated, when experimental data are collected, the   matrix can be badly conditioned, and thus the estimates of the values of the coefficients in a model can have considerable associated uncertainty. The method of factorial design avoids this problem by using scaled (or coded) variables X where +1 and -1 values correspond to high and low values of x. This forces the data to be orthogonal, decouples the normal equations, and makes   diagonal. The required transformation is  ,  and  denoting the nominal and perturbation values of the ith input. In the application, the experiments were carried out in random order. Having established K, the process was optimized for   which was associated with carboxylic (particularly fatty) acid production.
Details are referred to K26.
•  Iterative solution of a scalar nonlinear equation f(x)=0  proceeds by making a correction h at each step to x such that the estimated f(x+h)=0 . Any iterative solver g(x)=x+h  is in fact piecewise linearization approximating f by a series of straight lines with slope m(x)   going through the current iterate (x,f) and (x+h ,0). So,h=-f(x)/m(x).  (Recall that Newton’s method uses the current tangent to approximate f, that is m(x)=f'(x) .)  I created a class of third-order iterative solvers in the form g(x)=x+f(x)u(x) where m(x)=-1/u(x). At a solution z,  f(z)=0, g(z)=z, g'(z)=g''(z)=0. See my works labelled K28 and K30. McNamee & Pan (see C35) briefly described this class in their book.
•  There were three phases in the development of Koçak’s method  gK  to accelerate the convergence of an iterator g(x)=x attempting to solve a scalar nonlinear equation f(x)=0. Omitting argument x for brevity:
          gK=(g-m x)/(1-m),  m=w g'+(1-w)g'(z)=g'(z)+w(g'-g'(z)).
It amounted to (piecewise) linearization of g where m denotes the slope of a line passing through the iterate (x,g) and (gK,gK). The first version employed   (see K29 and K31). The second version (see K35 and K39) keyed this weight to the convergence order n of g as follows:
    If  n=1, then w=1/2  with the result that gK is of third order;
    If  n=2, then w=1/2  again with the result that gK is of third order;
    If  n>2, then w=1/n  with the result that gK is of (n+1)th order.
The third version (see K41) performed well adjusting w at x so as to force w at z to the above-given limits.
•  I published applications iteratively solving equilibrium problems (K28) and accelerating their solution (K29).
•  I applied Ostrowski’s fourth-order method to flash calculations (K33) and solution of cubic equations of state (K37).
•  I devised a way for “Simple, Robust, and Fast Iterative Solution of Underwood’s Equation for Minimum Reflux” (K36).
•  I co-authored an invited book chapter in 2006, titled “Waste Plastic Pyrolysis in Free-Fall Reactors”. See K27.
•  I gave an invited lecture at Coimbra University, Portugal, in 2008, titled “Convergence Acceleration”.
•  I devised an amazing iterator, called Koçak’s double linearization loop, for the solution of a scalar nonlinear equation (see K40). It was a powerful and robust contribution in this field. Tests including a case of a multiple root showed that it worked superbly where other solvers failed. Hopefully, it will prove to be a good, pioneering numerical analysis tool. Briefly, g(x)=x+h-f(x+h)/m(x+h), h=-f(x)/m(x).
•  My latest noteworthy product was Koçak’s 2-wing workbench for nonlinear least squares. One wing called Matlab solvers directly, the other via varpro - a short reference to variable projection. Five solvers could operate in either wing: fminunc, fmincon, nlinfit, lsqcurvefit, and lsqnonlin. Function fminsearch could be called directly only. Together, these solvers offered the user over ten algorithms. The versatile and robust workbench docked applications as a nested Matlab function housing two user blocks. Let T and x respectively denote the nonlinear and linear parameters (or predictors) to tune and t be the independent variable of a function y(T,x,t). Let W be a diagonal matrix of point weights w. Further, let T, x, t, y,  , and z be column vectors where each row corresponds to a data point. Consider a separable nonlinear least squares (shortly, SNNLS) problem
Observe that each column in the design matrix F is associated with a basis function f(T,t) . Varpro solution involves two loops one inside the other. The outer one operates on T whereas the inner one tends to the linear least squares problem which can be stated as
    Given T:  .
P is called a projection matrix or projection functional. Varpro harnesses the singular value decomposition (SVD) of  :
where N is the number of experimental points and   be the number of columns in F. Omitting subscripts N and  ,
     ,  ,  .
As can be seen, P need not be calculated explicitly. Note that  :
See K43.    
•  During my sabbatical visit to University of Illinois at Urbana-Champaign, USA, I successfully applied Koçak’s workbench for nonlinear least squares to an interesting but difficult problem, namely, characterization of viscoelastic materials by spherical nanoindentation. It was a separable nonlinear least squares case:
T and x respectively had n and n+1 elements where n itself was unknown. Physically, h was the indentation measured as the ramp-hold response of a standard linear solid (SLS) model which comprised one spring and n Kelvin-Voigt units in series. Each Kelvin-Voigt unit had a spring and a dashpot connected in parallel. Each spring (dashpot) represented an elastic (viscous) component.
•  As listed later, 49 publications have given me 54 citations so far.
•  Process modelling, simulation, control, design, and optimisation
•  Experimental design
•  Numerical methods
•  Computer programming in various environments including Fortran, Matlab, and Simulink
I intend to develop a Matlab-based, twice-round, simultaneous modular simulation package. Furthermore, I would like to enter:  
•  Advanced control
•  Fractional derivatives
•  Moment techniques
•  Image processing
•  Microfluidics (Lab-on-a-chip, LOC)
PERIOD              DESCRIPTION                                                                                            
1982-1983          State Ministry and Scientific and Technological Research Council of Turkey
                           1983 Research and Development Inventory of Turkey
1989-1990          Ankara University Research Fund, No. 89-25-00-20
                            Koçak M Ç,  Özkazanç O
                            Response of a Packed Column to a Step Change in Reboiler Heat Load
1991-1992           Ankara University Research Fund, No. 91-25-00-16
                            Koçak M Ç,  Karagöz A R
                            Online Computer Control of a Batch Polymerisation Reactor
2009-2010           Representation of Ankara University in a Coordination Action Project in FP6
                            INNOVA-MED, Innovative processes and practices for wastewater treatment and re-use in the Mediterrenean region (INCO-CT-2006-517728)
1.  Karagöz A R 1991
     Online Computer Control of a Batch Polymerisation Reactor, M.Sc. thesis, Ankara University
2.  Ünal İ 1995
     Application of Dynamic Matrix Control to a Polymerisation Reactor, M.Sc. thesis, Ankara University
3.  Kocaoğlu M A 2010
     Minimisation of Transportation Cost of a Fuel Distribution System via Linear Programming, M.Sc. thesis, Ankara
4.  Erşan A 2010
     Temperature Control of a Batch Polymerisation Reactor, M.Sc. thesis, Ankara University
•  Computer Programming
•  Stoichiometry
•  Numerical Methods
•  Thermodynamics
•  Chemical Engineering Mathematics
•  Chemical Engineering Economy
•  Introduction to Dynamic Simulation
•  Process Control
•  Optimisation
•  Research Techniques
•  Applied Numerical Methods
•  Multicomponent Distillation
•  Process Control
Koçak M Ç 2008
Convergence Acceleration. Chemical Engineering Department, Coimbra University, Portugal.
Recall that K, C, and R respectively label own work, citation, and reference.

LABEL DESCRIPTION                                                                                                                                              
K1        Koçak M Ç 1975
            The role of nuclear power in the present energy crisis with particular reference to the light water reactors
            Technical report, Chem. Eng. Dept., Birmingham University, England.
K2        Koçak M Ç 1976
             A radiochemical study of manganese self-diffusion in synthetic faujasites
             M.Sc. dissertation, Salford University, England     (Supervisor: Dr. Alan Dyer)
             48 references > R1-R48
K3        Koçak M Ç 1980
             Dynamic simulation of chemical plant
             Ph.D. thesis, Aston University, England     (Supervisor: Dr. Brian Gay)
             65 references > R49-R113
             7+3=10 citations < K4,K8,K13,K14,K32,K34,K40, C1,C2,C3
LABEL DESCRIPTION                                                                                                                                              
K4       Fletcher J P, Gay B, Kocate C M* 1982     (* misprinted)
            A dynamic simulation package for chemical engineering
            9th Annual Research Meeting of IchemE, Imperial College, London, England
            Trans  IChemE,  60(4) 253-254                                                        ISSN:0263-8762
            +1=1 citation < C4
K5       Tarımcı Ç, Koçak M Ç 1983     (in Turkish)
            Data generation at national level: 1983 Turkey R+D Inventory
            The Scientific and Technological Research Council of Turkey, TÜRDOK National     Information System I.
            National Symposium, Ankara, Turkey
K6       Koçak M Ç 1986     (in Turkish)
            RT-11 and Class language user manual
           Turkish Atomic Energy Authority, ANAEM, Ankara, Turkey
K7       Tarımcı Ç, Koçak M Ç, Mutlu 1986     (Translated from English)
            Measurement of scientific and  technical activities  – Frascati  manual 1980
            Değişim Yayınları, Verso, Ankara, Turkey
K8       Koçak M Ç, Gay B, Fletcher J P 1988     (in Turkish)
            A modular dynamic simulation package: ACES
           Chemistry 88, V. Chemistry and  Chemical Engineering Symposium, Ankara, Turkey
            Extended summaries , Pişkin E (Ed), 26-27
            3 references > K3,R65,R73
K9       Koçak M Ç 1988     (in Turkish)
            Modular approach in distillation column design
           Chemistry 88, V. Chemistry and  Chemical Engineering Symposium, Ankara, Turkey
            Extended summaries, Pişkin E (Ed), 28-29
            1 reference > R114
K10     Koçak M Ç 1988     (in Turkish)
            Newton’s method in calculating minimum reflux ratio in distillation
Chemistry 88, V. Chemistry and  Chemical Engineering Symposium, Ankara, Turkey
           Extended summaries, Pişkin E (Ed), 30-31
           1 reference > R115
K11    Gülşen S, Mehmetoğlu Ü, Koçak M Ç, 1988     (in Turkish)
           Investigation of dynamics of a packed column producing ethyl alcohol via immobilised Z. Mobilis
           Chemistry 88, V. Chemistry and  Chemical Engineering Symposium, Ankara, Turkey
           Extended summaries, Pişkin E (Ed), 157-159
           2 references > R118,R119
K12    Koçak M Ç 1989     (in Turkish)
            Industrial database applications
            Industrial Control Systems – Electronic Measurement, Logging, and Control Symposium II, Ankara, Turkey
K13     Koçak M Ç 1990
            Modular approach to dynamic simulation in chemical engineering applications: when and how?
           Second National Computer Simulation Symposium, Ankara, Turkey
           22 references > K3,R51,R54,R57,R65,R66,R68,R69,R73,R78,R79,R82,R87,R88, R91,R95,R96,R103,
                                     R105,R108, R109, R112
            1=1 citation < K14
K14     Koçak M Ç 1990
            Dynamic simulation of distillation columns with a modular approach
            Second National Computer Simulation Symposium, Ankara, Turkey
            21 references > K3,K13,R51,R54,R65,R66,R68,R69,R73,R78,R79,R82,R87,R88,R91,R95,
K15     Koçak M Ç 1992
            Letter to the editors
            Comput. Chem. Engng, 16(9) 817                                                   ISSN: 0098-1354
            “It is noteworthy that the notion of twice-round execution was conceived and implemented in my doctoral
            work prior to that of Fagley. I shall be grateful if you kindly make this fact public

            3 references > K3,R65, R116
            2=2 citations < K34,K40
K16     Mehmetoğlu Ü, Çiçek S, Koçak Ç 1993
            Dynamics of a column reactor fermenting glucose via Immobilised Z. Mobilis to produce ethyl alcohol
            Chem  and Biochem Eng Quarterly, 7 (2) 97-100                             ISSN:0352-9568
            10 references > R117-R126
+1=1 citation < C5
K17     Koçak M Ç,  Ünal İ, Abilov A 1996     (in Turkish)
            Modelling of a batch reactor in which free radicalic addition polymerisation of styrene occurs and simulation
                 of its dynamic matrix control applications

            UKMK-2 Second National Chemical  Engineering Congress, Istanbul, Turkey
            Proceedings, Vol. 1, 564-569, Türkay S, Tantekin-Ersolmaz Ş B, Yardım M F (eds)
            11 references > R127-R137
K18     Abilov A, Koçak M Ç 1997
            A multi-source database and an experimental design method for determining the best operating conditions
                 for a batch polymerisation process and optimisation application

            XI. National Chemistry Congress, Van, Turkey
            Abstracts, p.327
K19     Abilov A, Koçak M Ç 1998
           Optimal control of alkyne hydrogenation with a nonlinear model
           XII. National Chemistry Congress, Edirne, Turkey
           Abstracts, p.649, Kaçan M (ed)
           3 references > R138-R140
K20    Abilov A., Koçak M Ç 1998
           Real-time optimization and control of industrial alkyne hydrogenation
           DYCOPS-5, 5th IFAC Symposium on Dynamics and Control of Process Systems, 8-10 June, 1998, Corfu,
           Greece. Preprints (Ed. C. Georgakis), pp.508-510
            7 references > R140-R146
            1=1 citation < K22
K21    Doğan A Ü, Koçak M Ç 1998
           EDS x-ray microanalysis program (in Fortran) for off-line materials characterization
           Third Int Turkish Geology Symposium, Middle East Technical University, 31 August - 4 September, 1998,
            Ankara, Turkey, p. 41
K22     Abilov A G, Koçak M Ç 2000
            An optimal control application to an industrial hydrogenation reactor
            Chemical engineering research and design, 78( A4)630-632          ISSN:0263-8762
              8 references > K20,R138,R143,R145,R147-R150
5=5 citations < C13,C22,C42,C46,C47
K23     Karaduman A, Şimşek E H, Koçak M Ç, Bilgesü A Y 2002
            Use of cyclohexane as solvent in thermal degradation of low density polyethylene wastes
            Polymer-Plastics Technology and Engineering, 41(4)767-776         ISSN:0360-2559
             15 references > R151-R165
             +5=5 citations < C6,C15,C17,C32,C34
K24     Alibeyli R, Yeniova H, Koçak M Ç, Karaduman A  2003
            Kinetic peculiarities of benzene production from benzene-toluene-xylene fraction of pyrolysis gasoline by
                 catalytic hydrodealkylation at high temperature

            Petroleum Science and Technology, 21(5,6)789-803                       ISSN:1091-6466
            24 references > R166-R189
            +1=1 citation < C8
K25     Karaduman A, Koçak M Ç, Bilgesü A Y 2003
            Flash vacuum pyrolysis of low density polyethylene in a free-fall reactor
            Polymer-Plastics Technology and Engineering, 42(2)181-191         ISSN:0360-2559
            24 references > R152,R153,R155-R158,R160,R161,R164,R190-R204
            1+8=9 citations < K27,C6,C7,C9,C10,C12,C37,C44,C48
K26     Koç A., Bilgesü A Y, Alibeyli R, Koçak M Ç 2004
            A Factorial Experimental Design for Oxidative Thermal Decomposition of Low-density Polyethylene Waste
            J Anal Appl Pyrolysis, 72(2)309-315                                                 ISSN:0165-2370
            18 references > R155,R158,R205-R220
            +9=9 citations < C11,C14,C18,C19,C24,C31,C33,C43,C45
K27     Bilgesü A Y, Koçak M Ç, Karaduman A 2006    (Invited book chapter)     ISBN: 978-0-470-02152-1
           Chapter 23. Waste Plastic Pyrolysis in Free-Fall Reactors
            Feedstock Recycling and Pyrolysis of Waste Plastics (Eds. J. Scheirs and W. Kaminsky), John Wiley & Sons
            62 references > K25,R151-R161,R190-R204,R221-R256
            +4=4 citations < C25,C37,C39,C40
K28     Koçak M Ç 2006
            A new iterative method created and applied to equilibrium calculations
            Chisa 2006 17th International Congress of Chemical and Process Engineering, 27-31 August 2006, Prague,
            Czech Republic. Summaries 4, Systems Engineering, pp. 1229-1230
            4 references > K30,R65,R67,R257
            2=2 citations < K30,K35
K29    Koçak M Ç 2006
           Acceleration of equilibrium calculations via a new technique
           Chisa 2006 17th International Congress of Chemical and Process Engineering, 27-31 August 2006,
            Prague, Czech Republic.
            Summaries 6, Supplement, pp. 1891-1892
            5 references > K30,K31,R65,R67,R257
            3=3 citations < K30,K31,K35
K30     Koçak M Ç 2008
            A class of iterative methods with third order convergence to solve nonlinear equations
            The Proceedings of the Twelfth International Congress on Computational and Applied Mathematics
             (ICCAM2006), 10-14 July 2006, Leuven, Belgium. Eds.. Goovaerts M J, Vandewalle S, Van Daele M,
             Wuytack L
            J. Comput.Appl.Math , 218(2)290-306.                                             ISSN:0377-0427
            15 references > K28,K29,K31,R67,R257-R267
            5+8=13 citations < K28,K29,K31,K35,K40,C16,C20,C23,C26,C27,C28,C29,C35
K31    Koçak
M Ç 2008
          Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate
                convergence to third order

          The Proceedings of the Twelfth International Congress on Computational and Applied Mathematics
           (ICCAM2006), 10-14 July 2006, Leuven, Belgium. Eds.. Goovaerts M J, Vandewalle S, Van Daele M,
           Wuytack L
           J. Comput.Appl.Math,  218(2)350-363                                               ISSN:0377-0427
          13 references > K29,K30,R65,R67,R257-R260,R263-R266,R268
          9+4=13 citations < K29,K30,K35,K36,K37,K38,K39,K40,K41,C21,C27,C28,C29
K32    Koçak M Ç 2008
          Simulation optimises feedback control on the temperature of a heterogeneous batch reactor
           ChemPor 2008, 10th International Chemical and Biological Conference, 4-6 September 2008, Braga,
           Book of abstracts (ed. E.C. Ferreira) pp.762-763
           3 references > K3,R65,R269
           1=1 citation < K34
K33    Koçak M Ç 2008
           Ostrowski’s fourth order method applied to flash calculations
           ChemPor 2008, 10th International Chemical and Biological Conference, 4-6 September 2008, Braga,
           3 references > K3,R65,R266
K34     Koçak M Ç 2009
            Use of Simulink’s non-linear S-function to Simulate Feedback Temperature Control of a Heterogeneous
           Batch Reactor

           Chemical Product and Process Modeling 4 (4), art. No. 15              ISSN:1934-2659 
           DOI: 10.2202/1934-2659.1358
            5 references > K3,K15,R269-R271
           1=1 citation < K40
K35    Koçak M Ç 2009
          Acceleration of iterative methods
          In Reports of the Third Congress of the World Mathematical Society of Turkic Countries,  Zhumagulov, B.T. (ed) Almaty, June 30–July 4, 2009, Kazakhstan, pp.103-11       ISBN: 978-601-240-063-2
          9 references > K28,K29,K30,R65,R67,R257,R258,R266,R272
          5=5 citations < K36,K38,K39,K40,K41
K36   Koçak M Ç 2011
         Simple, Robust, and Fast Iterative Solution of Underwood’s Equation for Minimum Reflux
         Chemical engineering research and design, 89(2011) 197–205         ISSN:0263-8762
         22 references > K31,K35,R65,R67,R114,R257,R258,R266,R272-285
         1+4=5 citations < K40,C30,C36,C38,C49
K37    Koçak M Ç 2011
          Ostrowski’s fourth-order iterative method speedily solves cubic equations of state
          J Comput.Appl.Math  235(16)pp. 4736-4741                                      ISSN:0377-0427

           9 references > K31,R65,R67,R257,R258,R266,R277,R281,R286
          1+1=2 citations < K40,C41
K38    Koçak M Ç 2011
          Second Derivative of an Iterative Solver Boosts Its Acceleration by Koçak’s Method
          Applied Mathematics and Computation, 218 (3) pp. 893-898            ISSN:0096-3003

          8 references > K31,K35,R65,R67,R257,R258,R266,R281
          2=2 citations < K39,K41
K39    Koçak M Ç 2013
           Koçak’s method shows that an unwittingly exaggerated convergence order is in fact 2
           Applied Mathematics and Computation, 219 (2013) 10053-10058   ISSN:0096-3003
           5 references > K31,K35,K38,R266,R287
           1=1 citation < K40
K40    Koçak M Ç 2014
          Koçak’s double linearization loop renders a one-point, one-go nonlinear equation solver
           Applied Mathematics and Computation, 248 (2014) 494-502           ISSN:0096-3003
           12 references > K3,K15,K30,K31,K34,K35,K36,K37,K39,R65,R266,R269
K41    Koçak M Ç 2014
          Koçak’s acceleration method smoothly gears up iterative solvers
          Presented at IECMSA 2012 in Prishtine, Kosovo
           Konuralp J of Mathematics, 2(2)109-119 (2014)                               ISSN:2147-625X
           9 references > K31,K35,K38,R65,R67,R257,R258,R266,R281
K42    Koçak M Ç, Sobh N 2017
          Koçak’s nonlinear least squares workbench fits standard linear solids models used in characterization of viscoelastic materials by nanoindentation
          Presented at Ancon 2017, International congress on chemistry and materials science, Ankara, Turkey
           In: Koçak S B, Üstündağ Z (eds.), book of abstracts, p.56               ISBN: 978-605-245-971-3
           1 reference > R289
K43    Koçak M Ç 2017
          A nonlinear least squares workbench with variable projection
          Presented at Ancon 2017, International congress on chemistry and materials science, Ankara, Turkey
          In: Koçak S B, Üstündağ Z (eds.), book of abstracts, p.221            ISBN: 978-605-245-971-3
         2 references > R290,R291
49 publications have given me 54 citations so far.

C1       Bidin A R 1981                                                                                                1981(1)
            A Study and Application of  ACES
            M.Sc. Thesis, Aston University, U.K.
            Cited > K3
C2        Ogbonda J E 1988                                                                                         1988(2)
            Dynamic Simulation of Chemical Plant
            Ph.D. Thesis, Aston University, U.K
            Cited > K3
C3      Fletcher J P, Ogbonda J E 1988
           A Modular Equation-oriented Approach to Dynamic Simulation of Chemical Processes
           Comput Chem Engng, 12(5)401-405
           Cited > K3
C4      Cera D 1989                                                                                                     1989(1)
          Parallel dynamic simulation of a distillation column on the BNN butterfly parallel processor computer
          Comput Chem Engng, 13(7)737-752
          Cited > K4
C5      Özcengiz G 1996                                                                                              1996(1)
           Biotechnological Developments in Turkey
            Critical Reviews in Biotechnology, 16(1)53-94         I                        SSN: 0738-8551
            Cited > K16
C6      Aguado J, Serrano D P, Vicente G, Sánchez N 2006                                       2006(3)
           Effect of decalin solvent on the thermal degradation of HDPE
           Journal of Polymers and the Environment, 14(4)375-384
           Cited > K23, K25
C7      Bilgesü A Y, Altın S 2006
           Hydrogenation of liquid pyrolysis products of polyethylene waste
           Chisa 2006 17th International Congress of Chemical and Process Engineering, 27-31 August 2006, Prague,
           Czech Republic.
           Cited > K25
C8      Karaduman A, Alp E, Yeniova H, Alibeyli R 2007                                             2007(4)
           Poly-functional catalyst development for benzene production from alkyl-aromatic mixture via

           Petroleum Science and Technology 25 (4) 479-490
           Cited > K24
C9      Serrano D P , Aguado J, Vicente G,   Sánchez N 2007
           Effects of hydrogen-donating solvents on the thermal degradation of HDPE
           Journal of Analytical and Applied Pyrolysis, 78(1)194-199
           Cited > K25
C10     Sezer M, Karaduman A, Bilgesü A Y 2007
            Pyrolysis of Silopi asphaltee in the semi-batch reactor
            Journal of  the Faculty of Engineering and Architecture of Gazi University, 22(2)307-313
            Cited > K25
C11      Koç A, Bilgesü A Y 2007
             Catalytic and thermal oxidative pyrolysis of LDPE in a continuous reactor system
             Journal of Analytical and Applied Pyrolysis, 78(1)7-13
             Cited > K26
C12      Sezer M,  Bilgesü A Y, Karaduman A 2008                                                    2008(2)
             Flash pyrolysis of Silopi asphaltite in a free-fall reactor under vacuum
             Journal of Analytical and Applied Pyrolysis, 82(1)89-95
             Cited > K25
C13      Borodzinski A, Bond G C 2008
             Selective hydrogenation of ethyne in ethene-rich streams on palladium catalysts, Part 2: Steady-state
              kinetics and effects of palladium particle size, carbon monoxide, and promoters

              Catalysis Reviews – Science and engineering, 50 (3) 379-469
              Cited > K22
C14      Koç A, Şimşek E H, Bilgesü A Y 2009                                                           2009(3)
             Oxidative thermal degradation of LDPE and the determination of some thermodynamic quantitites
             Journal of Analytical and Applied Pyrolysis, 85 (1-2)380-383
              Cited > K26
C15      Vicente G, Aguado J, Serrano D P, Sánchez N 2009
             HDPE chemical recycling promoted by phenol solvent
             Journal of Analytical and Applied Pyrolysis, 85(1,2)366-371
             Cited > K23
C16      Kyurkchiev N, Iliev A 2009
             A note on the constructing of nonstationary methods for solving nonlinear equations with raised speed of

             Serdica J Computing, 3(-)47-74
             Cited > K30
C17      Baraniec-Mazurek I, Mianowski A 2010                                                         2010(7)
             Liquid fuel from waste polyolefins part I: Thermal and pressure degradation of waste polyolefins in tetralin as
              H-donor model system

              Chemical Engineering Journal, 163(3)284-292
              Cited > K23    
C18      Miranda M, Pinto F, Gülyurtlu I, Cabrita I, Noguera C A, Matos A 2010
             Response surface methodology optimization applied to rubber tyre and plastic wastes thermal conversion
             Fuel, 89(9)2217-2229
             Cited > K26
C19      Shah J, Jan M R, Mabood F, Jabaen F 2010
             Catalytic pyrolysis of LDPE leads to valuable resource recovery and reduction of waste problems
              Energy Conversion and Management, 51(12) 2791-2801     (DOI: 10.1016/j.enconman.2010.06.016)
              Cited > K26
C20      Oftadeh R, Nikkhah-Bahrami M, Najafi A 2010
             A novel cubically convergent iterative method for computing complex roots of nonlinear equations
             Applied Mathematics and Computation, 217(6)2608-2618
             Cited > K30
C21      De Ridder K 2010
             Bulk transfer relations for the roughness sublayer
             Boundary-Layer Meteorology, 134(2)257-267
             Cited > K31
C22      Felpin F-X, Fouquet E 2010
             A useful, reliable and safer protocol for hydrogenation and the hydrogenolysis of o-benzyl groups: The in
            situ preparation of an active Pd O/C catalyst with well-defined properties

             Chemistry – A European Journal, 16(41)12440-12445     ( DOI: 10.1002/chem.201001377)
             Cited > K22
C23      Iliev A, Kyurkciev N 2010
             Nontrivial methods in numerical analysis: selected topics in numerical analysis
              LAP Lambert Academic Publishing, ISBN: 978-3-8433-6793-6
              Cited > K30
C24      Carneiro D da S, Marques M R da C 2011                                                     2011(7)
             Co-pyrolysis of polyethylene waste with the campos bacia heavy oil
             Polimeros, 21(5)347-352     ( Doi: 10.1590/S0104-14282011005000074)
             Cited > K26
C25      Butler E, Devlin G, McDonnel K, 2011
             Waste polyolefins to liquid fuels via pyrolysis:  review of commercial state-of-the-art and recent laboratory
    Waste and biomass valorization 218(3)227-255     (DOI: 10.1007/s12649-011-9067-5)
              Cited > K27
C26      Amat S, Busquier S, Guiterrez M 2011
             Third-order iterative methods with applications to Hammerstein equations: A unified approach
             J of Computational and Applied Mathematics, 235(9)2936-2943
             Cited > K30
C27      Sha F, Tan X 2011
             A class of iterative methods of third order for solving nonlinear equations
              International J of Nonlinear Science, 11(2)165-167
             Cited > K30,K31
C28      Sha F, Tan X 2011
             An iterative formula with a parameter function for solving nonlinear equations
             International J of Nonlinear Science, 11(3)325-329
             Cited > K30,K31
C29      Carrero-Mantilla J I 2012                                                                                2012(3)
            The numerical problems within analytical methods of solution for cubic equations of state
             Ingenieria y Competividad, 14(1)75-89
             Cited > K30,K31
C30      Vacahern, Monroy-Loperena 2012
            Computing all the roots of   equations by a matrix-based approach
            Cherd, 90(2012)1697-1700
            Cited > K36
C31      Miranda M., Pinto F, Gülyurtlu I, Cabrita I  2013                                            2013(5)
             Pyrolysis of rubber tyre wastes: A kinetic study
             Fuel, 103(SI)542-552     ( Doi: 10.1016/j.fuel.2012.06.114)
             Cited > K26
C32      Dimov M, Tasheva Y,  Petkov P 2013
             Utilisation of protect vulcanates by thermal destruction
             Oxidation Communications,  35(1)221-227
             Cited > K23
C33      Pinto F, Paradela F, Gülyurtlu İ, Ramos  A M 2013
             Prediction of liquid yields from the pyrolysis of waste mixtures using response surface methodology
             Fuel Processing Technology, 116(-) 271-283
             Cited > K26
C34      Andreikov E I, Amosova I S, Yu A, Pervova M G 2013
             Pyrolysis of polyolefins in high boiling solvents
             Solid Fuel Chemistry, 47(4)209-219
             Cited > K23
C35       McNamee J M, Pan V Y (eds) 2013
              Numerical methods for roots of polynomials – part II
              Book series – Studies in computational maths, 16, pp.1-718, Elsevier     (ISBN: 978-0-444-52730-1)
              Cited > K30
C36       Fatoorehchi H, Abolghasemi H 2014                                                            2014(6)
              Approximating the minimum reflux ratio of multicomponent distillation columns based on the Adomian
              decomposition method

              J Taiwan Inst Chem Engineers, 45(3)880-886
              Cited > K36
C37       Kannan P, Shoaibi A A, Srinivasakannan  2014
             Temperature effects on the yield of gaseous olefins from waste polyethylene via flash pyrolysis
              Energy&Fuels, 28(2014)3363-3366     (
              Cited > K25, K27
C38       Nichita D V, Leibovici C F 2014
              Rapid and robust resolution of Underwood equations using convex transformations
              Comp&Chem Eng, 71(2014)574-590
              Cited > K36
C39      Jamradloedluk J, Lertsatitthanakoran C 2014
             Characterization and utilization of char derived from fast pyrolysis of plastic wastes
              Procedia engineering, 14(6)1437-1442
              Cited > K27
C40      Jamradloedluk J, Lertsatitthanakoran C 2014
             Characterization and utilization of char derived from fast pyrolysis of plastic wastes
             Advanced materials research, 931-932(2014)849-853
             Cited > K27
C41      Ziapour B M, 2015                                                                                          2015(4)
            An intensified analytic solution for finding the roots of a cubic equation of state in low temperature region
             J of molecular liquids, 206(2015)165-169
             Cited > K37
C42      Tian L, Jiang D, Qian 2015
             Reactor system switch strategy for acetylene hydrogenation process
             Huagong Xuebao/CIESC Journal,  66(2015)373-377
             Cited > K22
C43       Silva W P N, Nascimento A E G, Moura M C P A, Oliveira H N M, Neto E L B 2015
             Study of phenol removal by cloud point extraction: A process optimization using experimental design
              Separation and Purification Technology, 152(-)133-139
              Cited > K26
C44      Yun Y M, Seo M W, Ra H W, Koo G H,Yoon S J, Kim Y K, Lee J G, Kim J H 2015
              Pyrolysis characteristics of glass fiber-reinforced plastic (GFRP) under isothermal conditions
              Journal of Analytical and Applied Pyrolysis, 114(-)40-56
              Cited > K25
C45       Nguyen D M, Vu T T, Grillet A-C, Thuc H H, Thuc C N H 2016                     2016(2)
              Effect of organoclay on morphology and properties of linear low density polyethylene and Vietnamese
              cassava starch biobased blend

              Carbohydrate Polymers, 136(-)163-170
             Cited > K26
C46      Tian L, Hu G, Du W, Qian F 2016
             Comprehensive CFD simulation of the optimizations of geometric structures and operating parameters for
              industrial acetylene hydrogenation reactors

              Canadian J of Chemical Engineering, 94(12) 2427-2435
              Cited > K22
C47       Wu X, Lei B, Zhang K, Cheng M 2017                                                          2017(3)
              Hybrid stochastic optimization for optimal control problems of chemical processes
              Chemical engineering research and design, 126(2017)297-310
              Cited > K22
C48       Czajczynska D, Anguilano L, Ghazal H, Krzyzynska R, Reynolds A J, Spencer N, Jouhara H 2017
              Potential pyrolysis processes in the waste management sector
              Thermal science and engineering progress, 3(2017)171-197
               Cited > K25
C49        Danish M, Mubashir M, Zaidi S 2017
              An improved restarted Adomian-based solution for the minimum reflux ratio of multicomponent distillation

              Indian chemical engineer, DOI: 10.1080/00194506.2017.1301225           ISSN: 0975-007X
               Cited > K36
LABEL DESCRIPTION                                                                                                                                                   
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            Hydrocarbon Proc, 52(5)101-104
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            Zeolite molecular sieves: structure, chemistry and use
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           The nature of active sites on zeolites. XII. The acidity and catalytic activity of transition metal Y zeolites
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             J Catal, 16(-)273-280
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             J Catal, 23(-)31-37
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            J Catal, 27(-)287-292
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            J Phy Chem, 78(16)1653-1657
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           The mobility of cations in synthetic zeolites with the faujasite framework – I
               The mobility of cations in homo- and heteroionic forms of X and Y zeolites

            J Inorg Nucl Chem, 32(-)2389-2394
R24     Barry T I, Lay L A 1966
           Selective exchange of cation sites in zeolites observed by electron spin resonance of Mn2+ - I. Linde X
           J Phy Chem Solids, 27(-)1821-1831
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           Selective exchange of cation sites in zeolites observed by electron spin resonance of Mn2+ - I. Linde Y
            J Phy Chem Solids, 29(-)1395-1405
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            Electron spin resonance study of various cation-exchanged zeolites. Absorption of various species
            J Catal, 40(-)61-66
R27     Dyer A, Gettins R B, Townsend R P 1970
           The mobility of cations in synthetic zeolites with the faujasite framework – II
               The mobility of Calcium, strontium and barium ions in zeolite at high temperatures

            J Inorg Nucl Chem, 32(-)2395-2400
R28     Dyer A, Gettins R B 1970
           The mobility of cations in synthetic zeolites with the faujasite framework – III
                 Self-diffusion of cations into X and Y zeolites from non-aqueous solutions

            J Inorg Nucl Chem, 32(-)2401-2410
R29     Dyer A, Townsend R P 1973
            The mobility of cations in synthetic zeolites with the faujasite framework – IV
                 The mobility of zinc in X and Y zeolites

           J Inorg Nucl Chem, 35(-)2993-2999
R30     Dyer A, Townsend R P 1973
           The mobility of cations in synthetic zeolites with the faujasite framework – V
                 The self-diffusion of zinc into X and Y zeolites

            J Inorg Nucl Chem, 35(-)3001-3008
R31    Dyer A, Ogden A B 1975
          The mobility of cations in synthetic zeolites with the faujasite framework – VI
                The mobility of cobalt and nickel in X and Y zeolites

           J Inorg Nucl Chem, 37(-)2207-2210
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           J Chromatography, 102(-)95-98
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            M. Sc. dissertation, Salford University, U.K.
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            Proc R Soc Ser A, 222(-)109
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            Proc R Soc, 52(-)58
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           Applications of liquid scintillation counting
           Academic Press, New York
R37     Hendee W R 1973
           Radioactive isotopes in biological research
           John Wiley&Sons, New York
R38     Faires R A, Parks B H 1973
           Radioisotopes laboratory techniques
           Butterworths, London
R39     Gelsema W J, deLigny C L, Luten J B, Vossenberg F G A 1975
            The use of the Cerenkov effect in the counting of β- and γ- emitting radionuclides
            Int J Appl Rad Isotopes, 26(8)443-450
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           Table of isotopes
           John Wiley&Sons
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            Liquid scintillation counting
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             Int J Appl Rad Isotopes, 16(-)496
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           An introduction to liquid scintillation counting
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            Ph.D. thesis, Salford University, U.K.
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            J Phy Chem, 74(-)2758
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            Inorg Chem, 13(3)723-727
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            Dehydrated Lanthanum-exchanged type Y zeolite
            Nature, 215(July 15)241-244
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           J Catal, 20(-)246-259
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           Dynamic modelling and partial simulation of a pilot scale column crystaliser
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           Mathematical methods in chemical engineering
           Vol.1. Prentice-Hall, Englewood Cliffs
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           Simulation of the transient behavior of complex chemical plants using a modular approach
            Can J Chem Engg, 49(-)391-397
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            Control systems: analysis,design, and simulation
            Prentice-Hall, Englewood Cliffs
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            Laboratory on-line computing
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           Digital simulation of continuous systems
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            Chemical plant simulation
             McMaster University Publishing Department
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           Computer control of chemical plants with special reference to distillation column control
            Ph.D. thesis in preparation, The University of Aston, Birmingham
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            Man and computer in process control
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            Improving the efficiency of matrix operations in the numerical solution of stiff ordinary differential equations
            ACM Transactions on Mathematical Software 4(-)127-136
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           Comparing numerical methods for the solution of stiff systems of ODEs arising in chemistry
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            Academic Press, London
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          The requirements of an advanced computing system
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          The cascade control of a partially simulated CSTR
           Ph.D. thesis, The University of Aston, Birmingham
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           Computer solution of linear algebraic systems
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          Dynamic simulation of a PVC process
          Chem Eng Prog, 74(-)61-66
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           Modeling and simulation in chemical engineering
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           Computed temperature-time excursions at succeeding locations in an industrial reactor
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           Introduction to numerical analysis
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           Numeric initial value problems in ordinary differential equations
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           Simulation in chemical engineering
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           Putting evaporators to work: dynamic process modelling of a quadruple effect evaporator
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          Applications of EPISODE: an experimental package for the integration of ordinary differential equations
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          Computer simulation of dynamic behaviour in vacuum operation of tomato paste
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          Digital simulation of stagewise processes with backmixing
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           Mathematical modelling with computers
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          Mathematical methods in chemical engineering
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          Steady state and dynamic studies of a multi-product chemical plant
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         Numerical solution of large systems of stiff ordinary differential equations in a modular simulation framework
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          algorithms, software, and applications
, pp. 97-124
         Academic Press, London
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           Approximate dynamic modelling of large staged systems
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           Analysis of discrete physical systems
           McGraw-Hill Book Company, New York
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           Digital continuous-system simulation
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           Advanced control practice in the chemical industry: a view from industry
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