The first of the HERMIS conference series. A major scientific event was the

held on September 1992 in the Athens University of Economics and Business (AUEB) and jointly organized by the Department of Informatics of AUEB and the Hellenic Mathematical Society (HMS). The purpose of HERMIS 92 conference was to provide a scientific forum for mathematicians, computer scientists, economists to present their most up-to-date research on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Sciences. The HERMIS 92 aimed also at bringing together senior scientists and young researchers for academic interaction and dialogue. Over 150 scientists participated and a total of sixty papers presented in the conference.

Eminent mathematicians and computer scientists were in attendance, including

Professor M.J.D. Powell, FRS, University of Cambridge, England,

Professor D.J. Evans, D.Sc., Loughborough University of Technology, England,

Professor V. Thomee, Chalmers University of Technology, Sweden,

Professor D.P. Dobkin, Princeton University, USA.

The Proceedings of HERMIS 92, edited by Professor Elias A. Lipitakis, have been published by HMS in a single volume (paperback) containing 60 papers in 556 pages (ISBN: 1105-9737).

**HERMIS 92: **(left to right): Prof. V. Dougalis
(Athens, GR), Prof. M.J.D. Powell (Cambridge, UK), Prof.E.A. Lipitakis
(Athens, GR), Prof D.J. Evans (Loughborough, England), Dr. I.C. Demetriou
(Athens, GR), Prof. V. Thomee (Chalmers, Sweden).

The second of the HERMIS conference series, i.e. the

(HERMIS 94) held on September 1994 in AUEB and jointly organized by the Department of Informatics of AUEB and HMS. On the three-day period of September 22-24, 1994, more than 250 scientists from all over the world attended the biennial international HERMIS 94 Conference. The main theme of HERMIS 94 was Computer Mathematics with special emphasis on Computational Mathematics, High Performance Computing, Operational Research and Statistics. In HERMIS 94, apart of the invited lectures, twelve mini-symposia, focused on special topics of Computer Mathematics and its applications, were organized and more than 160 papers on various subjects of Computer Mathematics and Scientific Computing were presented.

The HERMIS 94 invited speakers list included distinguished University Professors, Academicians and eminent researchers from well known academic foundations and research centres from all over the world:

Professors G.I. Marchuk and V.I. Agoshkov, Russian Academy of Sciences,

Professor G.H. Golub, Stanford University, USA,

Professor A.H. Sameh, University of Minnesota, USA,

Professor H. Uszkoreit, German Research Center for A.I., Saarbrucken, Germany.

The special topics of the mini-symposia were focused on

*Inverse and ill-posed problems* time stepping methods for evolution
problems**

*Numerical treatment of Delay and Volterra functional equations* The
method of Arbitrary Lines* Preconditioning techniques for the numerical
solution of PDEs**

*Iterative methods for solving linear algebraic equations* High Performance
Computing* Mathematical modeling in electrical impentance tomography**

*Computational methods in Statistics* The Mathematicians research
environment: challenges, opportunities and tools,*

while the areas of the contributed sessions were:

*Control theory algorithms and applications* Statistical and mathematical
analysis**

*Numerical solution of initial/boundary-value problems* Parallel Computing*
Optimization and Approximation* Data structure algorithms and applications**

*Artificial Intelligence and Computing* Computing and Education.*

The HERMIS 94 Proceedings, edited by Professor Elias A. Lipitakis, have been published by HMS, in two volumes (paperback) containing 98 papers in a total of 1020 pages (ISBN: 1105-9737).

**HERMIS 94: **( left to right): Prof. T. Bolis
(Ioannina, GR), Dr. G. Lindskog (Chalmers, Sweden), Prof. G.H. Golub (Stanford,
USA), Prof. F. Topsoe (Copenhagen, Denmark), Prof. G.I. Marchuk (Russian
Academy of Sciences), Prof. L. Xanthis (Westminster, UK), Prof. E.A. Lipitakis
(Athens, GR), Prof. V.I. Agoshkov (Russian Academy of Sciences), Prof.
S. Kounias (Athens, GR), Prof. A. Hadjidimos (Purdue, USA), Prof. D.J.
Evans (Loughborough, England).

The third of the HERMIS conference series, i.e. the

**3 ^{rd} Hellenic European
Conference on Mathematics and Informatics**

(HERMIS 96) held on September 1996, in AUEB and organized by the Department of Informatics of AUEB with the co-operation of the HMS. On the three-day period September 26-28, 1996, more than 200 scientists from all over the world attended the HERMIS 96 conference. The creation of the HERMIS conference series results from an initiative of a dedicated team of scientists in the Department of Informatics of AUEB, who are interested in monitoring the current research activities in Computer Mathematics, Scientific Computing and Informatics and wish to attract pioneer top-active researchers to present their recent research results in the traditional Athenian scientific forum, where all the speakers can freely express their scientific views, opinions and conclusions of their studies and research. The main theme within the HERMIS 96 conference was Computer Mathematics, with special emphasis on Computational Mathematics, High Performance Computing, Operational Research and Statistics, Mathematics in Industry and Economics.

Eminent invited speakers, distinguished academics and pioneer researchers from well known academic foundations and research centers from all over the world participated in the HERMIS 96, including

Professor J.-L. Lions, College de France, Vice President of French Academy,

Professor J.B. Keller, Stanford University, USA,

Professor K.W. Morton, Oxford University, England,

Professor O, Axelsson, University of Nijmegen, Holland,

Professor T. Slaman, University of California, Berkeley, USA,

Professor R. Glowinski, University of Houston, USA,

Professor R.J. Plemmons, Wake-Forest University, USA,

Dr. J.R. Ockendon, Oxford University, England,

Professor J.R. Rice, Purdue University, USA,

Professor B.-Y. Guo, Shanghai University, China,

Professor B. Wegner, Technical University Berlin, Germany.

In the HERMIS 96 conference apart of the invited lectures, twelve mini-symposia, focused on special topics of Computer Mathematics and its Applications, were organized and more than 120 papers on various subjects of Scientific Computing and Computer Mathematics were presented.

The special topics of the mini-symposia were:

*Applied inverse problems and related topics* Industrial Mathematics
in Europe: the ECMI experience* Galerkin finite element methods for time
dependent PDEs**

*Direct and inverse problems in scattering theory* Iterative solution
of linear systems of algebraic equations* Multidisciplinary applications
of informations systems**

*Computer intensive methods in Statistics* Information retrieval and
Infometrics**

*Parallel, Neural and Systolic Computing* Temporal Knowledge Systems**

*Numerical methods for Optimization* Mathematical applications in
Industry and Enterprises,*

Among the areas of the contributed sessions were:

*Optimization and Control* Numerical solution of initial/boundary
value problems**

*Parallel Computing* Computational Geometry and applications* Statistical
and mathematical analysis with applications* Software analysis and applications**

*Numerical methods and computational methodologies.*

The HERMIS 96 Proceedings, edited by Professor Elias A. Lipitakis, have been published by LEA press in a single volume (paperback) containing 75 papers in a total of 756 pages (ISBN: 960-85176-5-6).

The Chairman of the HERMIS and HERCMA conferences is Professor Elias A. Lipitakis, Head of the Advanced Computational Mathematics and Parallel Processing Research Group.

**HERMIS 96: **(left to right): Prof. A. Hadjidimos
(Purdue, USA), Prof. S. Gallopoulos (Patras, GR), Prof. R.J. Plemmons (Wake-Forest,
USA), Prof. L. Xanthis (Westminster, UK), Prof. T. Papatheodorou (Patras,
GR), Prof. J.R. Rice (Purdue, USA), Prof. E.A. Lipitakis (Athens, GR),
Prof. J.B. Keller (Stanford, USA), Prof. K.W. Morton (Oxford, England),
Prof. O. Axelsson (Nijmegen, Holland).

(Hellenic European Research on Computer Mathematics and its Applications)

The 4th Hellenic European Research on Computer Mathematics and its Applications (HERCMA '98) is the fourth of the HERMIS- HERCMA conference series, held on September 1998 in the Athens University of Economics and Business (AUEB) and organized by the Research Group for Advanced Computer Mathematics and Parallel Processing (ACM-PP), Department of Informatics, AUEB.

On the three day period September 24-26, 1998, more than 250 scientists from 30 countries attended the HERCMA '98 conference. The concept of the HERMIS and HERCMA conference series, based on an initiative of a dedicated team of scientists in the Department of Informatics of AUEB, is fully encouraged and supported by the members of the ACM-PP, who are interested in monitoring the current research activities in Computer Mathematics, Scientific Computing and Informatics. One of the main scopes of the organizers of the HERCMA conferences is to attract the top-active scientists and pioneer researchers to present their most recent results in the traditional Athenian academic forum, where all the speakers can freely express their views and opinions, and present the conclusions of their studies and research in a friendly, pleasant scientific environment. The main theme within the HERCMA '98 conference was Computer Mathematics and its Applications, with special emphasis on Computational Mathematics, High Performance Computing, Operational Research and Statistics, Mathematics in Economy and Industry.

Distinguished invited speakers, eminent academics and pioneer researchers from well known academic foundations, universities and research centers from all over the world participated in the HERCMA '98, including the following international authorities who have been invited to talk on the most recent advances on several subjects of their speciality.

Prof. C.T.H. BAKER, University of Manchester, England

Prof. P. DEUFLHARD, Free University of Berlin - ZIB, Germany

Prof. J.J. DONGARRA, University of Tennessee, USA

Prof. D.J. EVANS, Loughborough University, England

Prof. M. GARBEY, Lyon I, France

Dr. A. ISERLES, University of Cambridge, England

Prof. P. LIGOMENIDIS, Academy of Athens, Hellas

Prof. B.B. MANDELBROT, Yale University, USA

Prof. C. PAPADIMITRIOU, University of California, Berkeley, USA

Prof. A.A. SAMARSKII, Academy of Sciences, Russia

Prof. R. VARGA, Kent State University, USA

In the HERCMA '98 conference apart of the invited lectures, 15
mini-symposia, focused on special topics of Computer Mathematics and its
Applications, were organized and more than 170 papers on 10 subject areas
were presented. The special topics of the mini-symposia were:

Inverse problems: theory and numerical computations

Numerical methods for evolution equations

Numerical modeling of causal equations

Iterative methods for the solution of linear algebraic systems

Parallel numerical linear Algebra

Tools for the study of stability of physical systems on parallel computers

Computational intelligence and parallel processing

Algorithm structured computing networks design techniques and applications

Special topics in financial engineering

Algebraic system solving, optimization and applications

Nonlinear numerical computations of differential equations

ARCH models and time series

Medical and biological modeling and computing

Ongoing Research by Statistics Graduate Students (AUEB Statistics Dept.)

Advanced topics on theory and applications of Computers

(Bodosaki Foundation Price Winners Session).

The HERCMA '98 Proceedings, edited by Professor Elias A. Lipitakis,
have been published by Lea Press in two volumes containing 120 papers in
a total of 1200 pages (ISBN: 960-85176-7-2). The Chairman of HERCMA conferences
is Prof. E.A. Lipitakis, Head of the Advanced Computational Mathematics
& Parallel Processing Research Group.

HERCMA '98, September 24-26, 1998, Athens.

(left to right): Prof. A. Bratsos (TEF Athens), Prof. S. Gallopoulos
(Univ. Patras), Prof. C. Floudas (Princeton Univ.), Prof. Y. Kevrekidis
(Princeton Univ.), Prof. P. Deuflhard (FreeUniv. Berlin), Prof. V. Thomee
(Chalmers Univ.), Prof. B. Mandelbrot (Yale Univ.), Prof. E.A. Lipitakis
(AUEB), Prof. P. Ligomenides (Academy of Athens), Prof. D. Evans (Nottingham
Trent Univ.), Dr. J. Demetriou (Univ. Athens), Dr. R. Papademetriou (Univ.
Portsmouth).