NumAn2014 Conference in Numerical Analysis - Chania, Greece September 2-5, 2014
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Workshop on Medical Imaging

Analytical methods for medical imaging and their numerical implementation

Organized by
George Kastis, Recearch Center of Pure and Applied Mathematics, Academy of Athens, Greece

Short description
In medical imaging reconstruction algorithms are an important part of an imaging system since they allow a three-dimensional image to be created from a set of two-dimensional projections. Currently, in Emission Tomography iterative reconstruction algorithms are more popular than analytical reconstruction techniques. However, the latter algorithms remain important and actually in several circumstances they exhibit several advantages with respect to iterative algorithms. This workshop intends to highlight recent advancements in analytic image reconstruction techniques applied in Positron Emission Tomography (PET) and in Single photon Emission Computed Tomography (SPECT) imaging. In addition, this workshop will cover new developments regarding analytical algorithms for the important imaging techniques of electroencephalography (EEG) and magnetoencephalography (MEG).

Accepted abstracts to be presented in this workshop can be found here.

Workshop on Wave Breaking in Boussinesq-type models

Numerical Wave Breaking 101: formulation, validation and practical implementation of wave breaking in Boussinesq-type models for non-hydrostatic free surface modeling

Organized by
Argiris I. Delis, Applied Mathematics and Computers Laboratory, TUC, Greece
Mario Ricchiuto, INRIA Bordeaux, France

Short description
This session aimes at providing an overview of one of the main challenges related to the simulation of near shore free surface flows by means of depth averaged Boussinesq type (BT) models. The objective is to make the point on the state of the art in the numerical treatment of wave breaking on BT models, with particular attention to the

  • basic principles and physical relevance behind breaking conditions
  • numerical schemes for BT models
  • practical implementation issues in one and two space dimensions
    (on structured and unstructured computational meshes)
  • validation
Accepted abstracts to be presented in this workshop can be found here.

Workshop on Fokas Method*

Analytical and Numerical Aspects of Fokas Transform Method

Organized by
Yiannis G. Saridakis, Applied Mathematics and Computers Laboratory, TUC, Greece

Short description
The workshop intends to highlight current analytical and numerical advancements on Fokas Transform Method for the solution of PDEs. This new approach yields novel integral representations of the solution in the complex plane that, for appropriate integration contours, decay exponentially and converge uniformly at the boundaries. Fokas method provides a unification as well as significant extension of the classical transforms, of the method of images, of the Green's function representations and of the Wiener-Hopf technique. Novel numerical techniques are integral part of the method to efficientlly evaluate the solution integral representations.

Accepted abstracts to be presented in this workshop can be found here.

Workshop on Mathematical Modeling of Complex Systems*

Mathematical Modeling of Complex Systems: The Computational Approach

Organized by
Tassos Bountis, Department of Mathematics, University of Patras, Greece

Short description
It is by now widely recognized that a great variety of problems of the Physical, Biomedical, Technological and even Social Sciences are so complicated that their solution cannot be obtained by any the old traditional and reductionist approaches of one science alone. The difficulty lies in the fact that these problems involve a great number of nonlinearly interacting variables, whose collective behavior leads to global phenomena of self-organization and pattern formation that cannot be understood by the analysis of any of their individual constituents. It is for this reason that in the last 2-3 decades the new interdisciplinary science of Complex Systems or Complexity has rapidly developed and has started to yield exciting unifying concepts and solutions to complex problems occurring in many scientific fields. In this Workshop we will examine some recent advances in this direction achieved by Greek scientists participating in a Thalis project focusing on the Mathematical Modeling of Complex Systems. In particular, we will concentrate on the numerical methods we have used and emphasize the importance of computation in solving complex problems, in the spirit propagated by our great late friend and colleague Professor Theodore Papatheodorou, to whose undying memory this Conference is dedicated.

Accepted abstracts to be presented in this workshop can be found here.

Workshop on Multi-Physics, Multi-Domain problems*

Numerical methods and software platform for solving multi-physics, multi-domain problems on modern computer architectures

Organized by
Manolis Vavalis, Department of Electrical and Computer Engineering, University of Thessaly, Greece

Short description
Multi-physics, multi-domain problems arise in a wide spectrum of scientific and technological applications and characterized by the existence and interaction of nonuniform materials (multi-physics, multi-domain). Many of them are modeled by partial differential equations (PDEs) of elliptic or parabolic type involving discontinuous coefficients at the interfaces between different materials. These discontinuities result in discontinuities of the solution functions and/or their derivatives. Examples of such problems of strategic importance are the spreading of cancer tumor (glioma) in the brain and the contamination of fresh ground water by saline waters. This workshop will mainly focus on numerical methods developed for this class of problems as well as their implementation on software platforms and modern computer architectures.
The scientific team of the Thalis project entitled "Advanced mathematical methods and software platform for solving multi-physics, multi-domain problems on modern computer architectures: applications to environmental engineering and medical problems" will participate in the workshop.

Accepted abstracts to be presented in this workshop can be found here.

*Workshops on Fokas Transform Method, Mathematical Modeling of Complex Systems and Multi-Physics / Multi-Domain problems are co-financed by the European Union (European Social Fund ESF) and Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF) - Research Funding Program: THALIS. Investing in knowledge society through the European Social Fund.

APNUM Special Issue:
(NEW!) The submission deadline has been extended to February 15, 2015.

Full papers presented at the Conference may be submitted for publication in a Special Issue of Applied Numerical Mathematics. Details for paper submission to this special issue are posted at the Special Issue page.

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Proceedings Volume:
Extended versions (4-6 pages) of the contributions accepted for presentation (lecture or poster) will be published in the Conference Proceedings and distributed at the conference.

Book of Abstracts:
The abstracts of all contributions (lecture or poster) will be published in the Book of Abstracts which is now available online (11.1MB). A printed version of this volume will be distributed at the conference.

Registration Fees:
Early Registration:
290 € (Euros)
Late Registration:
350 € (Euros)
Early Student Registration:
190 € (Euros)
Late Student Registration:
250 € (Euros)

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