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[PVS] Should you pay the registration fees until January 10, 2012,you will receive additional free accommodation in our campus.



NAUN International Courses
March 2012 - August 2012
http://www.naun.org/courses.htm
  Technically Co-Sponsored by WSEAS and EUROPMENT

ATTENTION: Should you pay the registration fees until January 10, 2012, you will receive additional free accommodation in our campus.

NAUN organises an active programme of short courses and distribute many books published by Springer Verlag, Elsevier and other international publishers. 

 

NEW: RESEARCH PAPERS:

After several requests, especially of some laboratories that want to "recruit" students, we have added in our courses (=seminars) a conferences time zone from 17:00 until 21:00 each day.http://www.naun.org/courses.htm
 
RESEARCH PAPERS: Professors, Doctors, Students are also welcome to present research papers. The accepted and registered research  papers will be presented after the end of the courses, i.e. after 17:00 every day.
The time zone  from 09:00 to 17:00 each day is exclusively dedicated for the educational graduate courses.
The time zone from 17:00  to 21:00 will be dedicated for Research papers' presentation in 3 parallel Sessions.
The registration fees are also 300 EUR for presenters of research papers and include 3 lunches, 6 coffee-breaks and publication of their papers in Proceedings and Journals after the conference.http://www.naun.org/courses.htm

Should you interested,
send  your research paper toinfo @ europment.org
Your paper must be written in the correct NAUN Format: Word for Windows
If you use LaTeX, please download the LaTeX template: naun.tex ornaun.txt. You have to convert it to .ps or .pdf file and submit that file to the conference via the web site.

* All the NAUN Publications are included in the ISI, SCOPUS, ACM, WSEAS E-Library, IET (IEE), ASM, ACS, CSA, ELSEVIER , ZENTRALBLATT, MATHSCINET, DPP,EI, CSBA, Ulrigh, DEST, EBSCO, EMBASE, GEOBASE, BIOBASE,BIOTECHNOBASE.

* All the NAUN Publications are archived in ISI, SCOPUS, ACM, WSEAS E-Library, IET (IEE), ASM, ACS, CSA, ELSEVIER , ZENTRALBLATT, MATHSCINET, DPP,EI, CSBA, Ulrigh, DEST, EBSCO, EMBASE, GEOBASE, BIOBASE,BIOTECHNOBASE.

* Authors will be invited to submit extended versions to a NAUN Journal or WSEAS Journal or University Press or Springer

* In collaboration with the Institute of ElectroTechnics - IET/GR, EUROPMENT, IASME, IARAS, WSEAS.

Details http://www.naun.org/courses.htm

ATTENTION: Should you pay the registration fees until January 10, 2012, you will receive additional free accommodation in our campus.

NAUN organises an active programme of short courses and distribute many books published by Springer Verlag, Elsevier and other international publishers. 

The courses are aimed at both industry and academia. Attracting international participants, the courses are presented by well known specialists from around the world. NAUN offer various 3-days' and 4-days' courses by eminent scholars and the registration fees are 100 EUR per day. You can make registration for 1 or 2 or 3 days. The level of the Short Courses are post graduate and several universities support and sponsor them. Should you want the certification of the Short Course, you have to pass a written examination certified by the particular University at the last day of the course. At the moment  collaborations with Professors from the Univ. of Cambridge, Univ. of Milano, Univ. of Roma, ETH Zurich have been established. 
On-line courses are also scheduled for 2012 and 2013. The cost for on-line course is 50 EUR per day. 
Should you interested, 
send an email to info @ europment.org until February 25, 2012

Upcoming Short Courses
    
* Non-Linear Systems, 6-8 March, 2012
* Fuzzy Engineering, 13-15 March, 2012
* Neural Networks, 16-18 March, 2012
* Evolutionary Computing-Genetic Algorithms, 19-21 March, 2012
* Partial Differential Equations for Scientists and Engineers, 12-14 May 2012
* Engineering Mathematics, 19-22 May 2012
* Probability and Statistics for Scientists and Engineers, 26-28 May 2012
* Decision Support Systems for Scientists and Engineers, June 2-4, 2012
* Marketing and Finances, June 9-11, 2012
* Environmental Protection, June 16-18, 2012

    Non-Linear Systems, Marathon Beach, Attica, March 6-8, 2012

 

Course Description: This course provides an introduction to nonlinear systems, including differences between linear and nonlinear systems; mathematical preliminaries; equilibrium points of nonlinear systems; phase plane analysis and limit cycles; stability definitions for nonlinear systems; Lyapunov's indirect and direct methods; stability of autonomous and non-autonomous systems; describing function analysis; nonlinear control design including sliding-mode, adaptive, and nonlinear robust control; and applications of nonlinear control design.

Course Objectives: The first major goal is to introduce the student to nonlinear systems and to classify them for further analysis. Also, issues of stability are discussed with respect to nonlinear systems and the various forms of stability are discussed.
The second major goal is to introduce the student to nonlinear controls techniques, up to and including adaptive, sliding-mode and nonlinear robust control.
* By the end of the course, students should be able to:
-- Understand issues related to nonlinear systems and why linear techniques to analyze stability may not be sufficient.
-- Understand controls design techniques involving feedback linearization and input-state linearization.
-- Understand Lyapunov stability analysis and design which will allow the student to apply the techniques and also understand technical papers and articles on the subject.

Course Programme:

  • Mathematical Background

  • Phase Plane Analysis

  • Lyapunov Theory

  • Control Design Based on Lyapunov's Direct Method

  • Advanced Stability Theory

  • Stability of Non-Autonomous Systems

  • Describing Function Analysis

  • Feedback Linearization

  • Input-State Linearization of SISO Systems

  • Input-Output Linearization of SISO Systems

  • Sliding-Mode Control

  • Adaptive Control

  • Nonlinear Robust Control

  • Control of Physical Systems

Study Meterials:
* 
Jean-Jacques Slotine, Weiping Li "Applied Nonlinear Control"
* L. C. To, Moses O. Tade "Robust Nonlinear Control of Industrial Evaporation Systems, Implementation of Differential Geometry" 
 

Course Structure: Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

    Fuzzy Engineering, Marathon Beach, Attica, March 13-15, 2012

 

Course Description: This course provides an introduction to fuzzy logic, fuzzy sets and fuzzy systems. Fuzzy Relation, Fuzzy Graphs, and Fuzzy Arithmetic. Fuzzy If-Then Rules.  Fuzzy Logic Applications.  Control Systems. Decision Making Systems. Pattern Recognition. Neuro-Fuzzy.  Genetic Algorithms and Fuzzy Logic
Microcontrollers and Fuzzy logic

Course Objectives: In the end of the course student is expected to be able to
- apply fuzzy systems in engineering environment
- apply function approximation methods with fuzzy systems
- model and solve control problems and apply neuro-fuzzy systems.

Course Programme: Fuzzy sets and relations, fuzzy functions and rule-based systems, Mamdani fuzzy system and Sugeno-Tagaki fuzzy system, universal approximators, fuzzy modelling, fuzzy control, fuzzy controllers in applications, aggregation operators, fuzzy screening systems, averaging operators and modifier operations. Neuro-Fuzzy systems. Suitable also for postgraduate studies.

Study Meterials:
* 
Full?r, R.: Introduction to Neuro-Fuzzy Systems, Physica-Verlag, 2000.
* Kosko, B.: Fuzzy Engineering, Prentice-Hall, 1996.
* Passino, K.M., Yurkovich, S.: Fuzzy Control, Addison-Wesley, 1998. 

Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

 Neural Networks and Applications, 
Marathon Beach, Attica, March 16-18, 2012

 

Course Description: This course provides an introduction to Neural Networks (NN) methodologies and advanced topics on Theory and Applications of NN

Course Objectives: In the end of the course student is expected to be able to
- apply NN in engineering environment
- apply NN on Control, Signal Processing, Differential Equations solution, System Identification, Large Systems Reduction and Control and approximation
- model and solve control problems and apply neuro-fuzzy systems.

Course Programme: 
Fundamentals 
Data Preprocessing 
Single Layer Perceptron 
Multi Layer Perceptron 
Training & Testing 
Error Function 
Hidden Layer Weights 
Backpropagation Algorithm 
Variations on the Backpropagation Algorithm 
Kohonen's Neural Network 
Kohonen's SOM II 
Learning Vector Quantization (LVQ) 
Variations on LVQ 
Cluster Analysis 
Radial Basis Function (RBF) Networks 
RBF First Training Phase 
RBF : Second Training Phase 
Autoassociative Networks 
Autoassociative Networks II
Reinforecement Learning
Boltzmann Machine and ART NN 
Neural Networks for Optimization
Neural Networks for Differential Equations
Neural Networks for Data Processing
Neural Networks for Filtering
Neural Networks for Spectral Estimation
Neural Networks for Moving-Target Detection
Neural Networks for Signal Reconstruction
Neural Networks for Array Signal Processing
Neural Networks for Automatic Control
Neural Networks for System Identification
Neural Networks for Reduction of Large Systems
Neural Networks for Signal Compression
Neuro-Fuzzy Systems

Study Meterials:
* Neural Networks: A Comprehensive Foundation by Simon Haykin
* Neural Networks and Learning Machines by Simon Haykin 
* Neural Networks for Pattern Recognition by Christopher M. Bishop
* Neural Networks for Optimization and Signal Processing by A.Cichochi and R. Unbehaunen
* Applied Neural Networks for Signal Processing by Fa-Long Luo and Rolf Unbehaunen

Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

Evolutionary Computing - Genetic Algorithms
Marathon Beach, Attica, March 19-21, 2012

 

Course Description: This course  brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields. Major concepts are illustrated with running examples, and major algorithms are illustrated by Pascal computer programs. No prior knowledge of GAs or genetics is assumed, and only a minimum of computer programming and mathematics background is required. Finally a comprehensive introduction to new approaches in artificial intelligence and robotics that are inspired by self-organizing biological processes and structures is given.

Course Objectives: In the end of the course student is expected to be able to
- apply EC- GA in engineering environment
- apply EC- GA for a variety of Optimization Problems
- model and solve control, signal processing, applied mathematics problems using EC- GA
 

Course Programme: 
--What is Evolutionary Computation? 
-- Historical perspective. 
-- Major classes of Evolutionary Algorithms. 
-- Local vs global search methods.
--Simple genetic algorithms and simple evolution strategies: basic principles.
--Genetic programming. Problem difficulty and the NFL theorem.
--Representations. Design of operators.
--Constraint handling. Finding multiple optima. Multi-objective optimization.
--Basic GA theory. Limitations of simple EAs. Goldberg's decomposition for competent GAs.
--Parameter setting in EAs. Using problem specific information.
--Estimation of Distribution Algorithms.
--Other Biologically Inspired Methods of Optimization and Computing

Study Meterials:
*Genetic Algorithms in Search, Optimization, and Machine Learning 
by David E. Goldberg 
*Introduction to Evolutionary Computing (Natural Computing Series) by
Agoston E. Eiben
* Bio-Inspired Artificial Intelligence: Theories, Methods, and Technologies 
(Intelligent Robotics and Autonomous Agents series) 
by Dario Floreano
* A Field Guide to Genetic Programming 
by Riccardo Poli , William B. Langdon , Nicholas Freitag McPhee 

Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

Partial Differential Equations for Scientists and Engineers
Marathon Beach, Attica, May 12-14, 2012

 

Course Description: PDEs are used to describe a variety of natural phenomena like the propagation of sound or heat, electrostatics, electrodynamics, quantum mechanics, fluid flow,  elasticity, mathematical biology, strength of materials. We develop methodologies and computational tools to solve a variety of PDES by classifying them into various categories and finding each time the appropriate methodology/tool.

Course Objectives: In the end of the course student is expected to be able to
- apply these methodologies (see below) in scientific/engineering environment
- apply these methodologies and computational tools for a variety of PDEs' Problems
- model and solve natural phenomena like the propagation of sound or heat, electrostatics, electrodynamics, quantum mechanics, fluid flow,  elasticity, mathematical biology, strength of materials etc...
 

Course Programme: 
Introduction
Existence and uniqueness
Heat equation in one space dimension
Wave equation in one spatial dimension
Generalised Heat-like equation in one space dimension
Spherical waves
Laplace equation in two dimensions
Connection with holomorphic functions
A typical boundary value problem
Euler?Tricomi equation
Advection equation
Ginzburg?Landau equation
The Dym equation
Initial-boundary value problems
Vibrating string
Vibrating membrane
Classification
Equations of first order
Equations of second order
Systems of first-order equations and characteristic surfaces
Equations of mixed type
Infinite-order PDEs in quantum mechanics
Analytical methods to solve PDEs
*Separation of variables
*Method of characteristics
*Integral transforms
*Change of variables
*Fundamental solution
*Superposition principle
Methods for non-linear equations
*Lie Group Methods
Numerical methods to solve PDEs
Finite Differences' Method
Finite Element Method
Finite Volume Method
Boundary Elements Method
 

Study Meterials:

  • Courant, R. & Hilbert, D. (1962), Methods of Mathematical Physics, II, New York: Wiley-Interscience.

  • Evans, L. C. (1998), Partial Differential Equations, Providence: American Mathematical Society, ISBN 0821807722.

  • Ibragimov, Nail H (1993), CRC Handbook of Lie Group Analysis of Differential Equations Vol. 1-3, Providence: CRC-Press, ISBN 0849344883.

  • Jost, J. (2002), Partial Differential Equations, New York: Springer-Verlag, ISBN 0387954287.

  • Petrovskii, I. G. (1967), Partial Differential Equations, Philadelphia: W. B. Saunders Co

  • Pinchover, Y. & Rubinstein, J. (2005), An Introduction to Partial Differential Equations, New York: Cambridge University Press, ISBN 0521848865.

  • Polyanin, A. D. (2002), Handbook of Linear Partial Differential Equations for Engineers and Scientists, Boca Raton: Chapman & Hall/CRC Press, ISBN 1584882999.

  • Polyanin, A. D. & Zaitsev, V. F. (2004), Handbook of Nonlinear Partial Differential Equations, Boca Raton: Chapman & Hall/CRC Press, ISBN 1584883553.

  • Polyanin, A. D.; Zaitsev, V. F. & Moussiaux, A. (2002), Handbook of First Order Partial Differential Equations, London: Taylor & Francis, ISBN 041527267X.

  • Solin, P. (2005), Partial Differential Equations and the Finite Element Method, Hoboken, NJ: J. Wiley & Sons, ISBN 0471720704.

  • Solin, P.; Segeth, K. & Dolezel, I. (2003), Higher-Order Finite Element Methods, Boca Raton: Chapman & Hall/CRC Press, ISBN 158488438X.


Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

Engineering Mathematics 
Marathon Beach, Attica, May 19-22, 2012 (**** 4 days ****)

 

Course Description: This course  brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply computational techniques, mathematical tools, algorithms to problems in many fields.

Course Objectives: In the end of the course student is expected to be able to
-  apply computational techniques, mathematical tools, algorithms to problems in science
-  apply computational techniques, mathematical tools, algorithms to problems in engineering
 

Course Programme: 
Introduction
Existence and uniqueness
Heat equation in one space dimension
Wave equation in one spatial dimension
Generalised Heat-like equation in one space dimension
Spherical waves
Laplace equation in two dimensions
Connection with holomorphic functions
A typical boundary value problem
Euler?Tricomi equation
Advection equation
Ginzburg?Landau equation
The Dym equation
Initial-boundary value problems
Vibrating string
Vibrating membrane
Classification
Equations of first order
Equations of second order
Systems of first-order equations and characteristic surfaces
Equations of mixed type
Infinite-order PDEs in quantum mechanics
Analytical methods to solve PDEs
*Separation of variables
*Method of characteristics
*Integral transforms
*Change of variables
*Fundamental solution
*Superposition principle
Methods for non-linear equations
Numerical methods to solve PDEs
Finite Differences' Method
Finite Element Method
Finite Volume Method
Boundary Elements Method
Computer Science
Simulation
Applied logic, 
Computer algebra
Combinatorics.
Operations research
Applied probability
Applied statistics
 

Study Meterials:

  • Courant, R. & Hilbert, D. (1962), Methods of Mathematical Physics, II, New York: Wiley-Interscience.

  • Evans, L. C. (1998), Partial Differential Equations, Providence: American Mathematical Society, ISBN 0821807722.

  • Pinchover, Y. & Rubinstein, J. (2005), An Introduction to Partial Differential Equations, New York: Cambridge University Press, ISBN 0521848865.

  • Polyanin, A. D. (2002), Handbook of Linear Partial Differential Equations for Engineers and Scientists, Boca Raton: Chapman & Hall/CRC Press, ISBN 1584882999.

  • Polyanin, A. D. & Zaitsev, V. F. (2004), Handbook of Nonlinear Partial Differential Equations, Boca Raton: Chapman & Hall/CRC Press, ISBN 1584883553.

  • Polyanin, A. D.; Zaitsev, V. F. & Moussiaux, A. (2002), Handbook of First Order Partial Differential Equations, London: Taylor & Francis, ISBN 041527267X.

  • Solin, P. (2005), Partial Differential Equations and the Finite Element Method, Hoboken, NJ: J. Wiley & Sons, ISBN 0471720704.

  • Solin, P.; Segeth, K. & Dolezel, I. (2003), Higher-Order Finite Element Methods, Boca Raton: Chapman & Hall/CRC Press, ISBN 158488438X.

  • Kallenberg, O. (2005) Probabilistic Symmetries and Invariance Principles. Springer -Verlag, New York. 510 pp. ISBN 0-387-25115-4

  • Kallenberg, O. (2002) Foundations of Modern Probability, 2nd ed. Springer Series in Statistics. 650 pp. ISBN 0-387-95313-2

  • Olofsson, Peter (2005) Probability, Statistics, and Stochastic Processes, Wiley-Interscience. 504 pp ISBN 0-471-67969-0.


Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 400 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area

 

 

Probability and Statistics for Scientists and Engineers 
Marathon Beach, Attica, May 26-28, 2012

 

Course Description: This course covers quantitative analysis of uncertainty and risk for engineering applications. Fundamentals of probability, random processes, statistics, and decision analysis are covered, along with random variables and vectors, uncertainty propagation, conditional distributions, and second-moment analysis. System reliability is introduced. Other topics covered include Bayesian analysis and risk-based decision, estimation of distribution parameters, hypothesis testing, simple and multiple linear regressions, and Poisson and Markov processes. There is an emphasis placed on real-world applications to engineering problems.

Course Objectives: In the end of the course student is expected to be able to
-  apply probability and statistics in a variety of problems in science
-  apply probability and statistics in a variety of problems in engineering
 

Course Programme: 
Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' Theorem
Random Variables and Vectors, Discrete and Continuous Probability Distributions
Functions of Random Variables and Derived Distributions
Expectation of Random Variables and Functions of Random Variables
Moments of Variables and Vectors
Conditional Second Moment Analysis
Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions
Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis
Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis
Simple and Multiple Linear Regression
 

Study Meterials:

  • Probability and Statistics for Engineers and Scientists
    Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying E. Ye

  • Probability and Statistics for Engineering and the Sciences
    Jay L. Devore


Course Structure:
 Each day is subdivided into four sessions and will commence at 9.00 am and finish at 5.00 pm. Lunch break is from 12.30 pm to 2.00 pm. Coffee will be served during the breaks. Please note that the course will start at 9.15 am on the first day. 

Course Materials
The course fee of ? 300 (euros) includes all working materials, three lunches, coffee, tea and all computer facilities used, where applicable. WSEAS and NAUN  reserve the right to make changes to the programme that may prove necessary. It includes also the examination test and certification.

Cancellations: Participants who cancel their registration due to special circumstances more than 60 days before the course will receive a complete refund minus fixed expenses. Fees remain payable in full for cancellations received within 60 days of the start of the course, even if you are unable to attend or send a representative.

Venue and Accommodation: The course will take place at the Marathon Beach Villagelocated in Marathon, Attica, Greece. It is 30 minutes by bus from the Athens international airport. This region is a well-known site, since it is the place where the famous battle of Marathon between the Greeks and the Persian army took place in 490 BC. The story says that after the bloody battle, a messenger named Pheidippides ran the 42 km that divided Marathon from Athens to announce the victory of the Greeks, and died from exhaustion right after spreading the news. This story is what started the marathon foot race in witch today runners follow the same Pheidippides route. At 8 km from the town of Marathon you will find the Lake Marathon, which is faced with a huge Pentelic marble dam (50m high and stretching for 300m), the same marble used to build the Parthenon. This lake used to be the unique water source of Athens until 1956. The beautiful ruins of the Doric Temple of Nemesis (435 BC), goddess of retribution as well as the 6 th-century small temple of Themis , goddess of justice and law, are located nearby. The Archaeological Museum of Marathonas will keep you into the archaeological mood. This interesting region also has some little rocky inlets with clean and nice water, very agreeable to visit, as well as the big and beautiful beach of Schinias.

For more information on how to find Marathon Beach Village and to arrange accommodation during the course please contact us


Photos from the area