Expected Speakers

 
 
 
 
 
    Title and Abstract

    Brief Biography




Prof. M. S. Obaidat, Fordham University, USA


    Title and Abstract

    Brief Biography




Prof. Willi Meier, University of Applied Sciences, Northwestern Switzerland[He will not be able to attend]


    Title and Abstract

    Brief Biography


Prof. Heinrich Begehr, Freie University Berlin, Germany


    Title and Abstract

    Brief Biography


Prof. Ram N. Mohapatra, University of Central Florida, USA


    Title and Abstract

    Brief Biography


Prof. Ekrem Savas, Istanbul Commerce University, Turkey


    Title and Abstract

    Brief Biography




Prof. Roland Duduchava, Andrea Raznmadze Mathematical Institute, Georgia


    Title and Abstract

    Brief Biography




Prof. Subhamoy Maitra, Indian Statistical Institute, Kolkata, India


    Title and Abstract

    Brief Biography


Prof. S. Ponnusamy, Indian Statistical Institute, Chennai Centre, India


    Title and Abstract

    Brief Biography


Prof. Dipanwita Roy Chowdhury, IIT Kharagpur, India


    Title and Abstract

    Brief Biography


Prof. Abhijit Das, IIT Kharagpur, India


    Title and Abstract

    Brief Biography





Prof. Maria A. Navascues, University of Zaragoza, Spain


    Title and Abstract

    Brief Biography





Prof. Elena Berdysheva, Justus-Liebig Universitat, Giessen, Germany


    Title and Abstract

    Brief Biography


Prof. Feyzi Başar , Fatih University, Turkey


    Title and Abstract

    Brief Biography



Prof. M. Mursaleen,  Aligarh Muslim University, India


    Title and Abstract

    Brief Biography



Prof. Shijun Liao, Shanghai Jiao Tong University, Shanghai, China


    Title and Abstract

    Brief Biography


Prof. W. M. Shah, Jammu & kashmir Institute of Mathematical Sciences, Srinagar, Kashmir, India



    Title and Abstract

    Brief Biography



Prof. Margareta Heilmann, University of Wuppertal, Germany


    Title and Abstract

    Brief Biography



Prof. Narendra Kumar Govil, Auburn University, USA


    Title and Abstract

    Brief Biography




Prof. Rifat Colak, Firat University, Turkey


    Title and Abstract

    Brief Biography





Prof. Sudip Misra, IIT Kharagpur, India


    Title and Abstract

    Brief Biography



Prof. Keshav Dahal, University of the West Scotland, UK


    Title and Abstract

    Brief Biography



Prof. Avishek Adhikari, Calcutta University, India



    Title and Abstract

    Brief Biography



Prof. Somitra Kr Sanadhya, IIIT Delhi, India



    Title and Abstract

    Brief Biography



Prof. Manish Kumar, Birla Institute of Technology & Science, Pilani, India


    Title and Abstract

    Brief Biography



Miss Sweta Mishra , Indian Institute of Technology Delhi, Delhi, India

×
Key Enabling Technologies for Smart Homes and Cities
Professor Mohammad S. Obaidat
IEEE Fellow and SCS Fellow
Inductee of SCS Hall of Fame-Life Achievement Award
Past President, Society for Modeling & Simulation International (SCS)
Past Advisor to the President of Philadelphia University
Editor-in-Chief, International Journal of Communication Systems
Editor-in-Chief, Journal of Information Processing
Editor-in-Chief, Journal of Convergence
Distinguished Speaker of IEEE Computer Society (1994-1997)
Distinguished Lecturer of ACM (1995-Present)
Distinguished Lecturer of SCS (2006-Present)
Professor, Department of Computer &Information Science,
Fordham University, USA
E-mail: msobaidat@gmail.com



Digital and smart homes and cities have become an important research and development area in the 21st century due mainly to their significance to national and international health, economy, safety, transportation, and security, among others.ICT Systems have played a vital role in the emergence and development of smart cities and homes. The impressive advances in areas of information and wired and wireless communications technology have brought with them the prospect of embedding different hierarchies of smartness and intelligence in the modern home and cities. Offering comfort and safe and healthy living with an intelligent form of collaboration with their residents has been the prime goal of smart and digital homes and cities. Contingentupon the settings, the communications may be multifaceted such as mobile agent based and context-aware services or they may be uncomplicated such as controlling the room temperature or its humidity level. Sophisticated situations include the delivery of position/location-aware info content of the resident of the digital home as well as his/her activities.

The availability of inexpensive low-power sensors, the RF IC chips, and the embedded microprocessors/microcontrollers have made tremendous impact on digital homes and cities; with large quantity of sensors, which jointly manage and make the inferences from the collected data on the state of the home and city as well as the actions and behavior of the inhabitants.

As the worldwide life expectancy, especially in developed countries and newly industrialized counties is increasing, the percentage of senior/elderly citizens is increasing at an accelerated pace and most projections suggest that this increase worldwide will reach about 10 millions in the coming decade. Senior citizens usually live in care centers, hospitals or their own homes with some relative supervision/care. Smart homes and cities can be used efficiently and economically in order to accommodate the needs of this population.

The increase of worldwide population, especially in populous countries and cities and the increase migration of citizens to cities have also brought with it challenges in transportation systems, health care, utility’s supplies, learning & education, sensing city dynamics, computing with heterogeneous data sources, managing urban big data, and environmental protection including pollution and others.

In this keynote, we will shed some light on the key enabling Information and Communications technology to smart cities and homes. We will also investigate the advances, current trends, challenges and future in the research and development in smart homes and cities.

Some of our recent research results, especially the ones related to the use of wireless networks and security for smart and digital homes will be presented. Among these, fire detection schemes in forests. An intelligent system for fire prediction based on wireless sensor networks is presented. This system obtains the probability of fire and fire behavior in a particular area. This information allows firefighters to obtain escape paths and determine strategies to fight the fire. A firefighter can access this information with a portable device on every node of the network.

Also, we will introduce an adaptive MAC protocol for distributed wireless LANs that is capable of operating efficiently under bursty traffic conditions. According to the proposed protocol, the mobile station that is granted permission to transmit is selected by means of a neural-based algorithm. Another new protocol for dynamically setting 802.11 wireless LAN

waveforms and transmission power levels based on the wireless channel’s signal to noise ratio will be introduced. Our method, known as Signal-to-Noise Ratio-Waveform Power Adaptation (SNR-WPA), changes the power in discrete steps matched to each of the 802.11 data rate-waveform steps. By matching the power to the spreading symbol rate, our technique maximizes the network throughput while minimizing MAC layer contention. We present other new schemes to authenticate and authorize 802.11 wireless nodes within a network. This new layer of security relies on a neural network decision engine that restricts network access to mobile nodes whose physical location is within a threshold distance from the wireless access point or the controller of the network. Other related wireless research efforts by our group will be presented.




Close
×
Brief Biography
Professor Mohammad S. Obaidat
IEEE Fellow and SCS Fellow
Inductee of SCS Hall of Fame-Life Achievement Award
Past President, Society for Modeling & Simulation International (SCS)
Past Advisor to the President of Philadelphia University
Editor-in-Chief, International Journal of Communication Systems
Editor-in-Chief, Journal of Information Processing
Editor-in-Chief, Journal of Convergence
Distinguished Speaker of IEEE Computer Society (1994-1997)
Distinguished Lecturer of ACM (1995-Present)
Distinguished Lecturer of SCS (2006-Present)
Professor, Department of Computer &Information Science,
Fordham University, USA
E-mail: msobaidat@gmail.com

Professor Mohammad S. Obaidat(Fellow of IEEE and Fellow of SCS) is an internationally well-known academic/researcher/ scientist. He received his Ph.D. and M. S. degrees in Computer Engineering with a minor in Computer Science from The Ohio State University, Columbus, Ohio, USA. Dr. Obaidat is a Professor of Computer and Information Science (CIS) at Fordham University, USA. Among his previous positions are Chair of the CIS Department at Fordham University and Chair of the Department of Computer Science and Director of the Graduate Program at Monmouth University, Dean of the College of Engineering at Prince Sultan University and Advisor to the President of Philadelphia University for Research, Development and Information Technology. He has received extensive research funding and has published over forty(40)books and over Six Hundreds and Fifty (650) refereed technical articles in scholarly international journals and proceedings of international conferences, and currently working on three more books.  Professor Obaidat has served as a consultant for several corporations and organizations worldwide. Mohammad is the Editor-in-Chief of the Wiley International Journal of Communication Systems, the FTRA Journal of Convergence and the KSIP Journal of Information Processing. He is also an Editor of IEEE Wireless Communications. Between 1991-2006, he served as a Technical Editor and an Area Editor of Simulation: Transactions of the Society for Modeling and Simulations (SCS) International, TSCS. He also served on the Editorial Advisory Board of  Simulation. He is now an editor of the Wiley Security and Communication Networks Journal,Journal of Networks,  International Journal of Information Technology, Communications and Convergence, IJITCC, Inderscience. He served on the International Advisory Board of the International Journal of Wireless Networks and Broadband Technologies, IGI-global.Prof. Obaidat is an associate editor/ editorial board member of seven other refereed scholarly journals including two IEEE Transactions, Elsevier Computer Communications Journal, Kluwer Journal of Supercomputing, SCS Journal of Defense Modeling and Simulation, Elsevier Journal of Computers and EE,International Journal of Communication Networks and Distributed Systems, The Academy Journal of Communications, International Journal of BioSciences and Technology, International Journal of Information Technology and ICST Transactions on Industrial Networks and Intelligent Systems. He has guest edited numerous special issues of scholarly journals such as IEEE Transactions on Systems, Man and Cybernetics, SMC, IEEE Wireless Communications, IEEE Systems Journal,  SIMULATION: Transactions of SCS, Elsevier Computer Communications Journal, Journal of C & EE, Wiley Security and Communication Networks, Journal of Networks, and International Journal of Communication Systems, among others. Obaidat has served as the steering committee chair, advisory Committee Chair and program chair of numerous international conferences.

He is the founder of two well-known international conferences: The International Conference on Computer, Information and Telecommunication Systems (CITS) and the International Symposium on Performance Evaluation of Computer and Telecommunication Systems (SPECTS). He is also the co-founder of the International Conference on Data Communication Networking, DCNET.

Between 1994-1997, Obaidat has served as distinguished speaker/visitor of IEEE Computer Society. Since 1995 he has been serving as an ACM distinguished Lecturer. He is also an SCS distinguished Lecturer. Between 1996-1999, Dr. Obaidat served as an IEEE/ACM program evaluator of the Computing Sciences Accreditation Board/Commission, CSAB/CSAC. Obaidat is the founder and first Chairman of SCS Technical Chapter (Committee) on PECTS (Performance Evaluation of Computer and Telecommunication Systems). He has served as the Scientific Advisor for the World Bank/UN Digital Inclusion Workshop- The Role of Information and Communication Technology in Development. Between 1995-2002, he has served as a member of the board of directors of the Society for Computer Simulation International. Between 2002-2004, he has served as Vice President of Conferences of the Society for Modeling and Simulation International SCS. Between 2004-2006, Prof. Obaidat has served as Vice President of Membership of the Society for Modeling and Simulation International SCS. Between 2006-2009, he has served as the Senior Vice President ofSCS. Between 2009-2011, he served as the President of SCS. Four of his recent papers have received the best paper awards from IEEE AICCSA 2009, IEEE GLOBCOM 2009, IEEE DCNET 2011, and IEEE CITS 2013 International Conferences. Prof. Obaidat has been awarded a Nokia Research Fellowship and the distinguished Fulbright Scholar Award. He received the SCS Outstanding Service Award for his excellent leadership, services and technical contributions. Dr. Obaidat received very recently the Society for Modeling and Simulation Intentional (SCS) prestigious McLeod Founder's Award  in recognition of his outstanding technical and professional contributions to modeling and simulation. He received in Dec 2010, the IEEE ComSoc- GLOBECOM 2010 Outstanding Leadership Award for his outstanding leadership of Communication Software Services and Multimedia Applications Symposium, CSSMA 2010. He received the Society for Modeling and Simulation International’s (SCS) prestigious Presidential Service Award for his outstanding unique, long-term technical contributions and services to the profession and society.He was inductedto SCS Modeling and Simulation Hall of Fame –Lifetime Achievement Award for his technical contribution to modeling and simulation and for his outstandingvisionaryleadershipanddedicationto increasingtheeffectivenessandbroadening theapplications of modeling and simulation worldwide.

He has been invited to lecture and give keynote speeches worldwide. His research interests are: wireless communications and networks, telecommunications and Networking systems, security of network, information and computer systems, security of e-based systems, performance evaluation of computer systems, algorithms and networks, green ICT, high performance and parallel computing/computers, applied neural networks and pattern  recognition, adaptive learning and speech processing. During the 2004/2005, he was on sabbatical leave as Fulbright Distinguished Professor and Advisor to the President of Philadelphia University in Jordan, Dr. Adnan Badran. The latter became the Prime Minister of Jordan in April 2005 and served earlier as Deputy Director General of UNESCO. Prof. Obaidat is a Fellow of the Society for Modeling and Simulation International SCS, and a Fellow of the Institute of Electrical and Electronics Engineers (IEEE). For more info; see: www.theobaidat.com





Close
×
TBA
TBA


Close
×
TBA
TBA


Close
×
Boundary value problems for the Poisson equation in a hyperbolic strip
H. Begehr, FU Berlin

The Dirichlet and the Neumann boundary value problem are solved explicitly for the Poisson equation in a hyperbolic strip within the unit disc of the complex plane. Using the parqueting-reection principle the harmonic Green and Neumann functions are constructed via innite products of linear transformations. They serve to solve the respective boundary value problems. While in general the Dirichlet problem is unconditionally solvable this is not always the case for the Neumann problem. The solvability condition on the data of the Neumann problem is explicitly given and coincides with the well-known one in case of the unit disc. The results are published in [1, 2].

When the Neumann function can be modied in such a way that its normal derivative vanishes identically on the boundary of the domain then also the Neumann problem is unconditionally solvable. This can be arranged e.g. for the upper unit disc investigated in [3]


References

[1] H. Begehr, Green function for a hyperbolic strip and a class of related plane

domains. Appl. Anal. 93(2014), 2370  2385.

[2] M. Akel, H. Begehr, Neumann function for a hyperbolic strip and a class of related plane domains. Math. Nachr., to appear.

[3] H. Begehr, S. Burgumbayeva, B. Shupeyeva, Remark on Robin problem for Poisson equation. Preprint, FU Berlin, 2017.









Close
×
TBA
TBA


Close
×



Close
×
TBA
TBA


Close
×
I λ - DOUBLE STATISTICAL CONVERGENCE IN TOPOLOGICAL GROUPS
Ekrem Savaş
Istanbul Commerce University, Department of Mathematics, Istanbul-Turkey
Emails: {esavas@iticu.edu.tr, ekremsavas@yahoo.com}



Abstract. Let λ = (λ m ) and μ = (μ n ) be two non-decreasing sequences of positive real numbers both of which tends to ∞ as m and n approach ∞, respectively. Also let λ m+1 ≤ λ m + 1, λ 1 = 0 and μ n+1 ≤ μ n + 1, μ 1 = 0. The collection of such sequence (λ, μ) will be denoted by ∆. Let K ⊆ N × N. The number δ λ (K) = lim mn 1 |{{k ∈ I n , l ∈ J m : (k, l) ∈ K}|, λ mn where I m = [m − λ m + 1, m] and J n = [n − μ n + 1, n] and λ mn = λ m μ n , is said to be the λ-density of K, provided the limit exists. Throughout this paper we shall denote (k ∈ I m , l ∈ J n ) by (k, l) ∈ I mn . In this paper, we introduce new notion, namely, I λ -double statistical convergence in topological groups. We mainly investigate some inclusion relations between I- double statistical and I λ - double statis- tical convergence. [2010] 40A05, 40D25 I- double statistical convergence, I λ - double statistical convergence, statistical convergence of order α


References

[1] H. Çakalli, On Statistical Convergence in topological groups, Pure and Appl. Math. Sci. 43, No.1-2, 1996, 27-31.

[2] H. Çakalli and Savaş, Statistical convergence of double seqeunces in topological groups, J. Comp.Analy. Appl. 12(2) (2010), 421-426.

[3] P. Das and E. Savaş and S. K. Ghosal, On generalizations of certain summability methods using ideals, Appl. Math. Letters, 24 (2011), 1509 - 1514.

[4] P. Das and E. Savaş, On I-convergence of nets in locally solid Riesz spaces, Filomat 27:1 (2013), 84-89.

[5] P. Kostyrko, T. Šalát, and W.Wilczynki, I-convergence, Real Anal. Exchange, 26 (2) (2000/2001), 669-685.

[6] M. Mursaleen and O. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl., 288 (2003), 223-231.

[7] A. Pringsheim, Zur theorie der zweifach unendlichen Zahlenfolgen, Mathematische Annalen, 53 (1900), 289-321.

[8] A. Sahiner, M. Gurdal, S. Saltan and H. Gunawan, Ideal convergence in 2-normed spaces, Taiwanese J. Math. 11 (2007), 1477–1484.

[9] E. Savaş and P. Das, A generalized statistical convergence via ideals, Appl. Math. Letters, 24 (2011), 826 - 830.

[10] E. Savaş, P. Das and S. Dutta, A note on strong matrix summability via ideals, Appl. Math Letters, 25 (4) (2012), 733 - 738.

[11] E. Savaş, Lacunary statistical convergence of double sequences in topological groups, J. Inequal. Appl., Article Number: 480 Published: DEC 2 2014


Close
×
Biography


Ekrem Savaş
Istanbul Commerce University, Department of Mathematics, Istanbul-Turkey
Emails: {esavas@iticu.edu.tr, ekremsavas@yahoo.com}




Dr. Ekrem SAVAS is a professor of mathematics at the Istanbul Commerce University, Istanbul-Turkey. He received M.Sc. (1983) and Ph.D. (1986) degrees in mathematics. As soon as he completed Ph.D he went to Utkal University in India as visiting scholar under the indo –Turkey academic exchange programme for one year. In 1988 and 1993 he became associate and full professor of mathematics respectively. He has been several times at department of mathematics of Indiana Universityof USA under Fulbright programme and NATO grant to do joint works with Prof. Billy Rhoades. Dr. Ekrem Savas’s research covers broadly the sequence spaces and summability. He has contributed numerous research papers in reputed journals and he has supervised several candidates for M. Sc. and Ph. D. degrees. He has actively participated in several national and international conferences. He became member of Turkish Academy of Science on June 2012. Now he has bee working at Faculty of Arts and Sciences, Istanbul Commerce University.
Close
×
LAPLACE-BELTRAMI EQUATION ON HYPERSURFACES AND $% \Gamma $-CONVERGENCE



Close
×
Prof. Roland Duduchava, Andrea Raznmadze Mathematical Institute,  Georgia Â
Click here to download CV


Close
×
Cryptanalysis of Salsa and ChaCha
TBA


Close
×
TBA
TBA


Close
×
PLANAR HARMONIC MAPPINGS
TBA


Close
×
TBA
TBA


Close
×
Symmetric cryptanalysis
TBA


Close
×
TBA
TBA


Close
×
Asymmetric Cryptanalysis



Close
×
Prof. Abhijit Das, IIT Kharagpur, India



Close
×
Theory and Applications of the Fractal Interpolation
Prof. María A. Navascués
Dpto. de Matematica Aplicada
Escuela de Ingeniería y Arquitectura
Universidad de Zaragoza
C/ María de Luna, 3. 50018 Zaragoza, Spain
manavas@unizar.es

The processing and interpretation of experimental signals, defined as time series of observations of a certain phenomenon, is a complex goal due to the lack (in many cases) of suitable models to explain how the characteristics of the problemstudied are reflectedon the data collected. The need ofgood quantitative and qualitative methods for the description of the different variablesexplored becomes evident.One of the objectives of this talk is the numerical fractal approach tosome experiments with real signals, whose analysiswasformerly done onlyby mere visual inspection of the record andeventually with the assistance of the Fast Fourier Transform algorithm. Beginning from these particular problems, we obtain much more general results based on fractal interpolation, which provide new methods of approximation of functions.In this conference we describe the construction of fractal versions of classical functions as polynomials, trigonometric maps, etc. by means of a particular Iterated Function System of the plane. The closeness between the classical function and its fractal analogue provides good properties of approximation and interpolation to the latter. This type of methodology opens the use of non-smooth and fractal functions in approximation. However, if an order of regularity is neededto solve a given problem, one can impose specific additional conditions to the System and the requirement may be satisfied as well. The procedure involves the definition of an operator mapping standard functions into their dualfractals. The transformation is linear and bounded and some bounds of its norm are established.

Through this operatorwe define families of fractal functions that generalize the classicalSchauder systems of Banach spaces and the orthonormal bases of Hilbert spaces. With an appropriate election of the coefficients of Iterated Function System we definesets of fractal maps that span the most important spaces of functions as C[a,b] or L2[a,b].



Close
×
TBA
TBA


Close
×
Bernstein-Durrmeyer operators with respect to arbitrary measure
Elena E. Berdysheva
Justus Liebig University Giessen, Germany



In this talk we discuss the Bernstein-Durrmeyer operators with respect to arbitrary measure on the simplex in several dimensions, as well as their analogs on the half-line. This generalization of the classical Bernstein-Durrmeyer operator was introduced by us in the connection with an application in learning theory.

Moreover, we consider a further generalization of this construction: we allow the measure in each term to be different. This allows to include into the same construction further well-known operators like the lassical Bernstein operator and the Kantorovich operator.

We discuss various properties of these operators. The main emphasis of the talk is the question about convergnce of the operators. We discuss the point wise convergence at a point, the uniform convergence as well as the convergence in the corresponding weighted $L^p$-spaces.
Close
×
Prof. Elena Berdysheva, Justus-Liebig Universitat, Giessen, Germany
Dr. Elena E. Berdysheva obtained her PhD in 2000 at the Ural State University, Ekaterinburg, Russia. She conducted her post-doctoral studies at the Mathematical Institute of the University of Erlangen-Nuremberg in Germany, in particular, as an Alexander-von-Humboldt Fellow. In 2002-2011 she worked at the University of Hohenheim, Stuttgart, Germany, where she obtained her Habilitation in 2010. She also served as Adjunct Professor at the FernUniversität in Hagen, Germany. In 2011-2015 she was an Associate Professor at the German University of Technology in Oman. Since 2015 she works at the Justus Liebig University Giessen, Germany. Her research interests include such areas as Approximation Theory, Harmonic Analysis, Special Functions and Orthogonal Polynomials as well as Numerical Analysis.


Close
×
TBA
TBA


Close
×
TBA
TBA


Close
×
Measures of Non-compactness in Differential Equations



Close
×
TBA
TBA


Close
×
Homotopy Analysis Method (HAM) and its applications for nonlinear problems
Shijun Liao School of Naval Architecture, Ocean and Civil Engineering Shanghai Jiaotong University, Shanghai 200240, China ( Email: sjliao@sjtu.edu.cn )
School of Naval Architecture, Ocean and Civil Engineering Shanghai Jiaotong University, Shanghai 200240, China ( Email: sjliao@sjtu.edu.cn )
In this talk, the basic ideas of the homotopy analysis method (HAM) for highly nonlinear problems are briefly described, with its applications in hydrodynamics. Unlike perturbation techniques, the HAM does not depend upon any small/large physical parameters, and thus works well for more problems, especially those with strong nonlinearity. This is mainly because, based on the homotopy in topology, the HAM can transfer a nonlinear problem into an infinite number of linear sub-problems without any small/large physical parameters. Besides, the HAM provides us great freedom to choose the equation-type and base function of these linear sub-problems. Especially, unlike all other analytic approximation methods, the HAM provides us a simple way to guarantee the convergence of series solution. So, the HAM is valid even for highly nonlinear problems, and therefore has been widely applied in applied mathematics, physics, finance and engineering. Using the HAM, some new results have been obtained. For example, the multiple steady-state resonant waves in deep and finite water depth were found by means of the HAM, whose wave amplitude, wave number and frequency of each wave component are independent of the time. The existence of these new steady-state resonant waves was then confirmed by physical experiments. All of these applications illustrate the novelty and power of the HAM for highly nonlinear problems.

Through this operatorwe define families of fractal functions that generalize the classicalSchauder systems of Banach spaces and the orthonormal bases of Hilbert spaces. With an appropriate election of the coefficients of Iterated Function System we definesets of fractal maps that span the most important spaces of functions as C[a,b] or L2[a,b].


Reference [1] Liao, S.J.: Beyond Perturbation – Introduction to Homotopy Analysis Method, Chapman & Hall/CRC, Boca Raton, 2003.

[2] Liao, S.J., Homotopy Analysis Method in Nonlinear Differential Equations, Springer, Heidelberg, 2012.

[3] Liao, S.J. (ed.), Advances of Homotopy Analysis Method, World Scientific Press, 2013.

[4] Liao, S.J.: “On the homotopy analysis method for nonlinear problems”. Applied Mathematics and Computation, 147: 499-513 (2004)

[5] Xu, D.L., Lin, Z.L., Liao, S.J. and Stiassnie, M.: “On the steady-state fully resonant progressive waves in water of finite depth”, Journal of Fluid Mechanics, 710:379-418 (2012)

[6] Liao, S.J.,  Zhao, Y. L.: On the method of directly defining inverse mapping for nonlinear differential equations, Numerical Algorithms, pp.1-32. (2015).


Close
×
Biography
Shijun Liao School of Naval Architecture, Ocean and Civil Engineering Shanghai Jiaotong University, Shanghai 200240, China
( Email: sjliao@sjtu.edu.cn )



Prof. Liao gained his PhD in 1992 from Shanghai Jiaotong University, China. Thereafter, he worked in School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, as a lecturer (1992), associate professor (1993), full professor (1996), distinguished professor of Ministry of Education of China (2000), and chair professor (2015). His research fields are fluid mechanics, computational methods and applied mathematics.

Prof. Liao is the founder of the “homotopy analysis method” (HAM), an analytic approximation method for highly nonlinear problems, which was proposed in his PhD dissertation in 1992. The HAM works even for problems without any small/large physical parameters. Especially, unlike other analytic approximation methods, the HAM provides a simple way to guarantee the convergence of solution series. Besides, the HAM provides great freedom to choose equation-type and solution- expression of high-order approximation equations. Due to these advantages, the HAM has been widely applied in science, engineering and finance. As a founder of the HAM, Prof. Liao published his 1 st book “Beyond Perturbation: An Introduction to the Homotopy Analysis Method” in 2003 via CRC Press, his 2 nd book “Homotopy Analysis Method in Nonlinear Differential Equations” in 2012 via Springer and Higher Education Press, and edited the book “Advances in the Homotopy Analysis Method” in 2013 via World Scientific. His books and 130 journal papers have been cited more than 5000 times by others, with the h-index 38. Prof. Liao was awarded “Shanghai First-class Prize for Natural Science” and “Shanghai Peony Prize for Natural Science” in 2009. He was listed among “the Highly Cited Researcher” and “The World’s Most Influential Scientific Minds” by Thomson Reuters in 2014 (in the fields of mathematics and engineering) and 2015 (in the field of mathematics).

Using the HAM as a powerful tool for nonlinear problems, Prof. Liao and his group successfully found something new/novel. For example, they found, for the first time, the multiple steady-state exactly resonant waves for the fully water wave equations, whose wave spectrum is independent of time. Besides, they confirmed the existence of this kind of steady-state resonance waves by physical experiments: their experimental results agree well with the theoretical ones gained by means of the HAM. Currently, Prof. Liao proposed the so-called “Clean Numerical Simulation” (CNS) for chaotic dynamic systems, and revealed that chaos is a bridge between the microscopic uncertainty and macroscopic randomness.

For more information, please visit his homepage: http://numericaltank.sjtu.edu.cn


Close
×

TBA


Close
×
TBA
TBA


Close
×
Link between Genuine Bernstein-Durrmeyer and Classical Bernstein Operators
Margareta Heilmann University of Wuppertal, School of Mathematics and Natural Sciences Gaußstr. 20, D-42119 Wuppertal, Germany
E-mail: heilmann@math.uni-wuppertal.de



In [10] Păltănea introduced a class of operators B n,ρ depending on a positive real parameter ρ which constitute a nontrivial link between the genuine Bernstein-Durrmeyer operator and the classical Bernstein operator. We denote by L B [0, 1] the space of bounded Lebesgue integrable functions on [0, 1].
For j ∈ N 0 , 0 ≤ j ≤ n, the Bernstein basis functions are given by
p n,j (x) = x (1 − x) n−j , 0 ≤ j ≤ n, x ∈ [0, 1]. j Moreover, for 1 ≤ j ≤ n − 1,
μ n,j,ρ (t) = Z t jρ−1 (1 − t) (n−j)ρ−1 B(jρ, (n − j)ρ)
With eulers Beta function B(x,y)= integral of (t^(x-1))(1-t)^(y-1)dt=Γ(x)Γ(y) , x, y > 0. For n ∈ N, Γ(x + y)
n ≥ 2, ρ ∈ R + , Păltănea [10, Definition 2.1] defined the operators B n,ρ : L B [0, 1] −→ P n by
B n,ρ (f ; x) = p n,0 (x)f (0) + p n,n (x)f (1)
n−1 X + p n,j (x) μ n,j,ρ (t)f (t)dt. j=1
[3, Theorem 2.3] Gonska and Păltănea proved the convergence of the operators B n,ρ to the classical Bernstein operator B n,∞ , i.e., they proved that for every f ∈ C[0, 1]
lim B n,ρ f = B n,∞ f uniformly on [0, 1]. ρ→∞
For this reason it is justified to name these operators linking operators. In our talk we also consider the k-th order Kantorovich modifications, i.e.,
B n,ρ = D k ◦ B n,ρ ◦ I k , k ∈ N 0 ,
where D k denotes the k-th order ordinary differential operator and I k (f, x) = (x−t) f (t)dt (k−1)! 0 0 with the understanding that D f = I 0 f = f . For k = 1 this means the investigation of a link between Bernstein-Durrmeyer and classical Kantorovich operators.
In the last years there is a growing amount of literature concerned with these operators (see [10, 3, 2, 4, 5, 6, 7, 9, 11, 12, 1, 8]). We present a selection of results for moments, images of monomials, shape preserving properties and approximation results.
(k) In more detail we discuss a representation for the operators B n,ρ , k ∈ N, ρ ∈ N, in terms of classical Bernstein operators. This leads to a simple proof of convexity properties and a representation of k-th order B-splines to equidistant knots as a limit of k sums of Bernstein basis polynomials.


References
[1] K. Baumann, M. Heilmann, I. Raşa, Further results for kth order Kantorovich modi- fication of linking Baskakov type operators, Results in Math. 69 (3), (2016), 297-315, doi:10.1007/s00025-015-0511-x.
[2] H. Gonska, R. Păltănea, Quantitative convergence theorems for a class of Bernstein- Durrmeyer operators preserving linear functions, Ukrainian Math. J. 62, No.7 (2010), 1061-1072, doi: 10.1007/s11253-010-0413-8.
[3] H. Gonska, R. Păltănea, Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions, Czechoslovak Math. J. 60 (135), (2010), 783-799, doi: 10.1007/s10587-010-0049-8.
[4] H. Gonska, I. Raşa, E.-D. Stanila, Power series of the operators U n ρ , arXiv: 1402.3216 (2014).
[5] H. Gonska, I. Raşa, E.-D. Stănilă, Lagrange-type operators associated withU n ρ , arXiv: 1402.5040 (2014).
[6] H. Gonska, I. Raşa, E.-D. Stănilă, The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators, Mediterr. J. Math. 11, 561-576 (2014), doi: 10.1007/s00009-013-0347-0.
[7] M. Heilmann, I. Raşa, k-th order Kantorovich type modification of the operators U n ρ , J. Appl. Funct. Anal. 9 (3-4), (2014), 320-334.
[8] M. Heilmann, I. Raşa, Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators, Positivity, (2016), doi: 10.1007/s11117-016-0441-1
[9] D. Kacsó, E. D. Stănilă, On the class of operators U n ρ linking the Bernstein and the genuine Bernstein-Durrmeyer operators, J. Appl. Funct. Anal., 9 (2014), 335- 348.
[10] R. Păltănea, A class of Durrmeyer type operators preserving linear functions, Ann. Tiberiu Popoviciu Sem. Funct. Eq. Approx. Conv. (Cluj-Napoca) 5 (2007), 109-117. [11] I. Raşa, E. D. Stănilă, On some operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators, J. Appl. Funct. Anal., 9 (2014), 369-378. [12] E. D. Stănilă, On Bernstein-Euler-Jacobi Operators, PhD Thesis (2014), Universität Duisburg-Essen
Close
×
Biography
Margareta Heilmann University of Wuppertal, School of Mathematics and Natural Sciences Gaußstr. 20, D-42119 Wuppertal, Germany E-mail: heilmann@math.uni-wuppertal.de Homepage: http://www.opt.uni-wuppertal.de/ag-opt/mitarbeiter/heilmann.html


Prof. Dr. Margareta Heilmann is a full professor at the School of Mathematics and Natural Sciences at the University of Wuppertal in Germany. Her research interests are topics in approximation theory, such as Durrmeyer-type operators including linear combinations and quasi-interpolants, direct, strong converse and asymptotic results, simultaneous approximation, spectral properties and commutativity results. She has contributed numerous papers in widely recognized journals and proceedings of international conferences. 2012-2014 and in 2016 she is the leading coordinator of a DAAD (German Academic Exchange Service) project funded by the German Federal Office with the objective of supporting academic reconstruction in South Eastern Europe. This project has 15 partners in 10 countries.


Vita
• 1976 - 1983: Studies of Mathematics and Physics at the University of Dortmund
• 1983: Diploma in Mathematics, University of Dortmund
• 1987: Doctoral degree, Department of Mathematics, University of Dortmund
• 1988 - 1990: Visiting Scientist at IBM-Scientific Center, Heidelberg
• 1993: Habilitation, Department of Mathematics, University of Dortmund
• 1993 - 1996: Professor, Department of Communications Engineering, University of Applied Sciences and Arts, Dortmund
• 1996 - current: Professor of Mathematics for Engineering Sciences and Applied Mathematics, School of Mathematics and Natural Sciences, University of Wuppertal



Close
×
TBA
TBA


Close
×
TBA
TBA


Close
×
Statistical convergence and strong summability in metric spaces



Close
×
TBA
TBA


Close
×
Enabling Internet of Things with Cloud and Big Data
TBA


Close
×
TBA
TBA


Close
×
Recommendation Based Trust Models for Distributed Systems
Keshav Dahal, University of the West of Scotland, UK
University of the West of Scotland, UK



The reliability of successful cooperation is a significant issue in distributed systems like e-commerce, peer-to-peer networks, social networks, and mobile ad hoc networks (MANETs).  This requires cooperation among the participating entities to guarantee the formation and sustained existence of cooperation services.  Recommendation based trust management has been proposed in the literature as a mechanism to filter out the misbehaving players while searching for a reliable cooperation. However, building a trust model that adopts recommendations by other players in distributed systems is a challenging problem due to the risk of dishonest recommendations. The talk will present our research investigation on building recommendation system for eCommerce system and MANETs, and the problems of attacks posed by misbehaving players (such as nodes in MANET) while propagating recommendations in the existing trust models. We will propose a recommendation based trust model with a defence scheme, which dynamically filters out attacks related to dishonest recommendations between misbehaving players and show our empirical analysis with a MANET case study.
Close
×
Few Aspects of Secret Sharing Schemes
Avishek Adhikari, Calcutta University, India





Close
×






Close
×
Brief Biography
Keshav Dahal
University of the West of Scotland, UK





Professor Keshav Dahal is the leader of the Artificial Intelligence, Visual Communication and Networks (AVCN) research centre at the University of the West of Scotland, UK. Prior to this he was with the University of Bradford and the University of Strathclyde, UK. His research interests lie in the areas of Computational intelligence, Machine learning, Big data mining, Scheduling/Optimisation, Trust/security modelling in cloud and distributed systems, and diagnosis/remote healthcare systems. His research paper on ‘reputation/trust modelling’ won the Best Paper award at an IEEE Conference. Prof. Dahal has an extensive experience in terms of research supervision and management of funded projects. He has been principal/co-investigator of 15 EU/UK/Industry funded projects worth over £4 million in last ten years. Currently, he is coordinating a consortium of 20 partners for EU Erasmus Mundus Action 2 ‘SmartLink’ project (2014-2018). He is also a co-investigator of the recently awarded EU H2020-ICT-2014-2 “SELFNET – Framework for Self-organized network management in virtualized and software defended networks” project (2015-2018). He has successfully supervised the completions of 4 Post-Doctoral and 13 PhD studies.Prof. Dahal has published over 100 peer-reviewed journals/conferences papers and 3 edited books, and has sat on organising/programme committees of over 50 reputed international conferences; including the general chair of the IEEE SKIMA 2015. He is a senior member of the IEEE and fellow of the Higher Education Academy UK.
Close
×
TBA
Dr. Somitra Kr Sanadhya, IIIT Delhi, India




TBA
Close
×
Password hashing
Miss Sweta Mishra , IIIT Delhi, India




TBA
Close