ד"ר אביב גיבלי

ד"ר אביב גיבלי

Dr. Aviv Gibali

ד"ר אביב גיבלי
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Department
Mathematics
Research Interests
  • Mathematical theory and development of algorithms.
  • Systems of linear and nonlinear equations or inequalities.
  • Optimization Theory techniques and applications, such as Radiation Therapy Treatment Planning and Image Processing.

More about myself (Hebrew)

Lecture in Hebrew about the essential role of Mathematical Modelling in

industry

http://www.braude.ac.il/conferences/modelling_week_israel_2017/

 


Courses

 Semester C (Summer), 2017: Calculus and Analysis in  several variables

Current Position
Senior Lecturer
Contact Information
Email
avivg@braude.ac.il
Telephone
+972-4-9086404
Education
Ph.D.
2012 Department of Mathematics, The Technion - Israel Institute of Technology, Haifa, Israel. 
Dissertation:  Algorithms for Solving Variational Inequalities and Applications.
M.Sc.
2008 Summa Cum Laude in Mathematics, Department of Mathematics, University of Haifa, Haifa, Israel.
B.Sc.
2008 Magna Cum Laude in Mathematics, Department of Mathematics, University of Haifa, Haifa, Israel.
Research Areas
  • Mathematical theory and development of algorithms.
  • Systems of linear and nonlinear equations or inequalities.
  • Optimization Theory Techniques in Radiation Therapy Treatment Planning and Image Processing.
Academic Appointments

2017 - Present: Scientific adviser, Fraunhofer Institute for Industrial Mathematics  

                         (ITWM), Kaiserslautern, Germany.

2014 - Present: Senior lecturer at the Mathematics Department, ORT Braude College of

                          Engineering, Karmiel, Israel.

2013 - Present:  Research associate at the Center for Computational Mathematics and  

                          Scientific Computation (CCMSC), University of Haifa, Haifa, Israel.  

2012 - 2014: Researcher at the Optimization Department, Fraunhofer Institute

                      for Industrial Mathematics (ITWM), Kaiserslautern, Germany.

     

                     Minerva Postdoc Fellowship at the Department of Mathematics at   

                     Kaiserslautern University of Technology, Kaiserslautern, Germany.

 

 

Teaching Experience
ORT Braude College of Engineering:

MATLAB, C, C++, Java, Calculus and Analysis in one variable, Calculus and Analysis in  several variables, Linear Algebra I, Linear Algebra II, Approximation Theory, Numerical Analysis, Deterministic Models of Operations Research.

The Technion–Israel Institute of Technology:
Calculus and Analysis in one variable, Calculus and Analysis in several variables.
University of Haifa:
Calculus and Analysis in one variable, Calculus and Analysis in several variables, Linear Algebra I, Linear Algebra II, Discrete Mathematics, Probability and Statistics, Infinite Set Theory, Introduction to Algorithms. 
Ironi Gimel High school, Haifa:
All levels of Mathematics and Physics.
Academic and Professional Awards and Grants

2017:            Seventh Framework Programme - The People Programme, short scientific  visit.

2016:            Seventh Framework Programme - The People Programme, short scientific  visit.

2015:            TEMPUS IRIS short travelling grant.

2012 - 2014: The Minerva Fellowship Program, (2 times).

2012:             Faculty of Mathematics excellence award, The Technion.
                      Vivian Konigsberg award for excellence in teaching, The Technion.
2011:            The Israel Mathematical Union (IMU) travel award.
                     The Polish Mathematic Society (PTM) travel award.
2010:            Vivian Konigsberg award for excellence in teaching, The Technion.
2008 - 2012: Ph.D. scholarship, The Technion.
2008:             Dean of Graduate Studies excellence award, University of Haifa.
2005 – 2007: Dean’s Honors list of M.Sc. students, University of Haifa (2 times).
2003 – 2005: Dean’s Honors list of B.Sc. students, University of Haifa (2 times).

 
Professional Activities
Organizing Conferences and Workshops

2017: Initiator and chief organizer: The First Israeli Modelling Week, July 2-6, 2017, Nahariya-Karmiel, Israel.

Initiator and chief organizer: Industrial Day, June 29, 2017, Holon Institute of Technology, Israel.

Member of the Organizing Committee of "The First IMU-INdAM Conference in Analysis”, May 29-June 1, Tel-Aviv, Israel.


Member of the Organizing Committee of “The workshop on Operator Theory and Applications”, September 26-27, Nahariya, Israel.

 
2016: Member of the Organizing Committee of The workshop on Operator Theory and Applications, September 26-27, Nahariya, Israel.

2015: Member of the Organizing Committee of "Complex Analysis & Dynamical Systems VII", May 10-15, Nahariya, Israel. ORT Braude College, Bar-Ilan University and the University of South Florida.

2013: Initiator and organizer:Workshop on Projection Methods - Theory & Practice,  June, 2013, Kaiserslautern, Germany. 

A Joint project of  the Fraunhofer Institute for Industrial Mathematics (ITWM) and the Felix Klein Center for Mathematics.

Helped organizing together with Professor Yair Censor from the University of Haifa, A one-day marathon on "Projection Methods in Feasibility, Superiorization and Optimization", December, 2013, Haifa, Israel.

A Joint workshop of The Center for Mathematics and Scientific Computation (CMSC), the Caesarea Rothschild Institute (CRI) for Interdisciplinary Applications of Computer Science and the University of Haifa.

 

 

Associate Editor

Journal of Industrial and Management Optimization.

Research Projects/stays

2017: Invited to Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv, Ukraine, July 2017.

2016: Invited to the Department of Electrical Engineering, Computer Engineering and, Informatics, Cyprus University of Technology, Limassol, Cyprus. December 2016.

Invited to Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv, Ukraine, July 2016.

Invited to Fraunhofer Institute for Industrial Mathematics,                             Kaiserslautern, Germany, January 2016.

Invited to Heidelberg Collaboratory for Image Processing (HCI),                            University of Heidelberg, Heidelberg, Germany, January 2016.

2015: Invited to the Berlin Mathematical School (BMS), Berlin, Germany, December 2015.

Invited to Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany, July 2015.

Invited to Heidelberg Collaboratory for Image Processing (HCI), University of Heidelberg, Heidelberg, Germany, July 2015.

2014: Invited to Institute for Numerical and Applied Mathematics University of                           Göttingen, Germany, September 2014. 

Invited to the Mathematics Department at Jacobs University, Breman, Germany, September 2014.
              
         Invited to Institute for Numerical Simulation, Bonn, Germany, May 2014.             
              
         Invited to Rochester Institute for Technology, Rochester, NY, USA, May.
    
2011: Invited to the Fraunhofer Institute for Industrial Mathematics, November 2011.             

Invited to the University of Zielona Góra, Zielona Góra, Poland, September 2011.

2010: Invited to the Peking University, Beijing, P.R. China, September-October 2010.   

2006: Invited to the University of Cordoba, Cordoba, Spain, July 2006.

 

Refereeing for Scientific Journals

Abstract and Applied Analysis, Fixed Point Theory and Applications, Applied  Mathematics and Mechanics, Inverse Problems, Journal of Inequalities and Applications, Computational Optimization and Applications, Inverse Problems in Science &  Engineering, Nonlinear Analysis: Theory, Methods & Applications, Bulletin of   Mathematical Analysis and Applications, Journal of Global Optimization, Mathematical Modelling and Analysis, Numerical Algorithms, Optimization letters.

Membership in Professional Societies

COST Management Committee member - COST Action TD1409-Mathematics for Industry Network (MI-NET),

European Consortium for Mathematics in Industry (ECMI)

Fraunhofer Society,

Israel Mathematical Union (IMU),

Polish Mathematic Society  (PTM),

Operations Research Society – Israel (ORSIS),

American Mathematics Society (AMS).

Plenary and Invited Talks (Colloquiums, Conferences and Workshops)

2017: The First IMU-INdAM Conference in Analysis, May 29-June 1, Tel-Aviv, Israel.

The IMU Annual Meeting, May 25-28, Akko, Israel.

SIAM Conference on Computational Science and Engineering (CSE17), Atlanta, Georgia, USA.

 

2016: The 125 European Study Group with Industry (ESGI), Limassol, Cyprus.

Continuous Optimization: Challenges and Applications, September 5-8, 2016, The Technion, Israel. (attended). 

The 118 European Study Group with Industry (ESGI), Dublin, Ireland.

Geometric Analysis in Control and Vision Theory, Bergen/Voss, Norway.

2015: The 17th Mini-Workshop in Applied and Computational Mathematics , December 28, The Weizmann Institute, Israel.

2015:  The Eleventh Interdisciplinary Research Conference, October 7-8, Ort Braude College of Engineering, Ha-Goshrim, Israel. 

2015:  Colloquium talk, Heidelberg Collaboratory for Image Processing (HCI), University of Heidelberg, Heidelberg, Germany.

2014:  The Tenth Interdisciplinary Research Conference, October 19-20, Ort  Braude College of Engineering, Nahariya, Israel.   

2014:  Computational Analysis Seminar, September 16, Jacobs university, Breman, Germany.

2014:  Colloquium talk, Institute for Numerical and Applied Mathematics, September 11, University of Göttingen, Germany.

2014:  The Department of Mathematics seminar, April 8, Ort Braude College of  Engineering,  Karmiel, Israel.

2014:  Colloquium talk, Mathematics of Computation seminar, Institute for  Numerical Simulation, May 26, Bonn, Germany. 
                         
2014:  Colloquium talk, Rochester Institute for Technology, May 15, Rochester,  NY, USA.

2014:  Workshop on Nonlinear Analysis and Optimization, June 16, Technion, Israel.

2014:  (Attended) The Workshop on Operator Theory, February 25, Ort Braude College of Engineering, Karmiel, Israel. (Attended)

2013:  A one-day marathon on "Projection Methods in Feasibility, Superiorization and Optimization", December 13, Haifa, Israel.

2013: Workshop on Projection Methods - Theory & Practice, June 19-20, Kaiserslautern, Germany.

2012: Infinite Products of Operators and Their Applications, May 21-24, The  Technion, Haifa, Israel.  

2012 - 2014: Fraunhofer's Seminar, Kaiserslautern, Germany (4 times). 

2007 - 2014: Nonlinear Analysis and Optimization Seminar, The Technion, Haifa, Israel (7 times). 

2011: Israeli-Polish Mathematical Meeting, September 11-15, Łódź, Poland.

2011: Operations Research Society of Israel (ORSIS) Annual Conference, May 29-30, Akko, Israel. 

2011: SIAM Conference on Optimization, May 16-19, Darmstadt, Germany.   
   
2010: The Operations Research Society of China (ORSC) Annual Meeting, October 15-17, Beijing, P.R. China. 

2010: Nonlinear Analysis and Optimization Seminar, September 20, Peking University, Beijing, P.R. China.

2010: Workshop on Optimization Theory and Related Topics, January 11-14, The Technion and the University of Haifa, Haifa, Israel.

2009: (Attended) Complex Analysis and Dynamical Systems IV, May 18-22, The Bar-Ilan University, the Ort Braude College of Engineering and the University of Miami, Nahariya, Israel.   
 

 

Publications
Refereed Papers

 1.   A. Gibali and O. Kelis, Gradient methods for solving zero-sum linear-quadratic differential games, accepted to publication in Applied Analysis and Optimization, 2017.

2.   A. Gibali, Two simple relaxed perturbed extragradient methods for solving variational inequalities in Euclidean spaces. Accepted for publication in Journal on Nonlinear and Variational Analysis, 2017.

3.   A. Moudafi and A. Gibali, l_1-l_2 Regularization of split feasibility problems, Numerical Algorithms, (2017), 1-19. DOI 10.1007/s11075-017-0398-6.

4.   A. Gibali, A new Split Inverse Problem and an application to least intensity feasible solutions, Pure and Applied Functional  Analysis 2 (2017), 243-258.

5.      A. Gibali, S. Reich and R. Zalas, Outer approximation methods for solving variational inequalities in Hilbert space, Optimization 66 (2017), 417-437.

6.      E. Bonacker, A. Gibali, K.-H. Küfer, P. Süss, Speedup of lexicographic optimization by superiorization and its applications to cancer radiotherapy treatment, Inverse Problems 33 (2017), 044012.

7.      A. Gibali, L.-W. Liu and Y.-C. Tang, Note on the modified relaxation CQ algorithm for the split feasibility problem, Optimization Letters 1–14. First Online: 29 April 2017, DOI: 10.1007/s11590-017-1148-3

8.        A. Gibali and A. Moudafi, From implicit convex feasibility to convex minimization, Transactions on Mathematical Programming and Applications, 5 (2017), 25-45.

9.      A. Gibali, D. Shoikhet and N. Tarkhanov, On the convergence rate of continuous Newton method, Contemporary Mathematics, Fundamental Directions, 62 (2016), 1-13.

10.  Y. Censor, A. Gibali, F. Lenzen and Christoph Schnörr, The implicit convex feasibility problem and its application to adaptive image denoising, Journal of Computational Mathematics, 34 (2016), 1-16.

11.     D.-D. Erdmann-Pham, A. Gibali, K.-H. Küfer, P. Süss, Singular Value Homogenization: A simple preconditioning technique for linearly constrained optimization and its potential applications in medical therapy, accepted for publication in Journal of Mathematics in Industry, 2016.

12.  A. Gibali, S. Reich and R. Zalas, Iterative methods for solving variational inequalities in Euclidean space, Journal of Fixed Point Theory and Applications 17 (2015), 775-811.

13.  A. Gibali, A new non-Lipschitzian projection method for solving variational inequalities in Euclidean spaces, Journal of Nonlinear Analysis and Optimization: Theory and Applications, 6 (2015), 41-51.

14.  A. Gibali, K.-H. Küfer, P. Süss, Successive linear programing approach for solving the Nonlinear Split Feasibility Problem, Journal of Nonlinear and Convex Analysis, 15 (2014), 345-353.

15.  A. Gibali, An algorithm for solving the set-valued Variational Inequality Problem in Euclidean space, Pacific Journal of Optimization, 9 (2013), 61-75.

16.  A. Cegielski, A. Gibali, S. Reich and R. Zalas, An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space, Numerical Functional Analysis and Optimization 34 (2013), 1067-1096.

17.  A. Gibali, B. Jadamba, A. A. Khan and J. Oleksyn, Gradient and extragradient methods for an elliptic inverse problem of parameter identification: a numerical study, Indian Journal of Industrial and Applied Mathematics, 4 (2013), 33-51.

18.  C. Byrne, Y. Censor, A. Gibali and S. Reich, The Split Common Null Point Problem, Journal of Nonlinear and Convex Analysis, 13 (2012), 759-775.

19.  Y. Censor, A. Gibali and S. Reich, Algorithms for the Split Variational Inequality Problem, Numerical Algorithms 59 (2012), 301-323.

20.  Y. Censor, A. Gibali, S. Reich and S. Sabach, Common Solutions to Variational Inequalities, Set-Valued and Variational Analysis 20 (2012), 229-247.

21.  Y. Censor, A. Gibali and S. Reich, A von Neumann alternating method for finding common solutions to variational inequalities, Nonlinear Analysis 75 (2012), 4596-4603.

22.  Y. Censor, A. Gibali and S. Reich, Extensions of Korpelevich's extragradient method for solving the variational inequality problem in Euclidean space, Optimization 61 (2012), 1119-1132.

23.  Y. Censor, A. Gibali and S. Reich, The subgradient extragradient method for solving variational inequalities in Hilbert space, Journal of Optimization Theory and Applications, 148 (2011), 318-335.

24.  Y. Censor, A. Gibali and S. Reich, Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space, Optimization method and Software 26 (2011), 827-845.

25.  Y. Censor and A. Gibali, Projections onto super-half-spaces for monotone variational inequality problems in finite-dimensional spaces, Journal of Nonlinear and Convex Analysis, 9 (2008), 461-475.

 

Books

 1.    A. Gibali, A new Algorithmic Scheme for Solving Variational Inequalities, LAP Lambert Academic Publishing 2013. This is the author's M.Sc. thesis.

2.      A. Gibali and S. Sabach, Lecture and tutorial notes in Calculus 1 (in Hebrew), University of Haifa Student Body 2007.

Book Chapters

1.      A. Gibali, B. Jadamba, A. A. Khan, F. Raciti and B. Winkler, Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error Formulation: A comparative numerical study, Nonlinear analysis and optimization Contemporary Mathematics, 659 (2016), 65-89.

2.      A. Gibali, K.-H. Küfer, P. Süss, Philipp: Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem, Infinite products of operators and their applications, Contemporary Mathematics 636 (2015), 121—129.

3.      R. Díaz Millán and A. Gibali, Characterization of orthogonal polynomials - A new proof to Bochner Theorem, accepted for publication in Complex Analysis and Dynamical Systems VII, Contemporary Mathematics 2016.

Conference Proceedings and Abstracts

 1. A. Gibali, A. A. Khan and B. C. Winkler, Gradient and Extragradient methods for the inverse problem of tumor identification, Joint Mathematics Meetings, January 4-7, 2017, Atlanta, Georgia, USA.

2. A. Gibali and Thomas Humphries, Superiorized polyenergetic reconstruction algorithm for reduction of metal artifacts in CT images, The 2017 Nuclear Science Symposium and Medical Imaging Conference, October 21-28, 2017 Atlanta, Georgia, USA.

Other Publications

1.      A. Gibali, D. Shoikhet and N. Tarkhanov, On the convergence of continuous Newton method, Preprints des Instituts für Mathematik der Universität Potsdam 4 (2015) 10.