Obiettivo The main research objective of this network is the joint development, analysis, implementation and optimization of a variety of mathematical concepts and computational tools that help "breaking complexity" in a variety of scientific computing tasks. Such tasks include both explicit data compression, as encountered in signal and image processing, and numerical simulation based on a mathematical model such as a partial differential or integral equation. In this last case, the object of interest is implicitly given by the model, and its compression needs to be optimally intertwined with the solution process. In both situations, we aim at developing mathematical representations, tailored data structures and fast resolution/processing algorithms, which are capable of optimally capturing (in an infonnation theoretic sense) the possible hidden simplicity of the underlying object to be stored, processed or computed. On a theoretical level, we shall gravitate around the pivoting mathematical concept of "nonlinear approximation" with the aim of fully understanding the process of adaptively representing classes of functions by N optimally chosen parameters. On a more practical level, we shall investigate practical realizations of such optimal representations, which can be implemented by fast algorithms. Classical instances include adaptive finite elements and more recently wavelets, which are still the source of theoretical and practical limitations when dealing with complicated domains and anisotropy singularities. We shall investigate these difficulties and come out with robust adaptive discretization tools that are in addition well fitted for specific problems: variational discretizations of PDE's arising in real life applications, progressive encoding in multimedia, noise reduction and inverse problems in medical imaging. Campo scientifico natural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equationsengineering and technologymedical engineeringdiagnostic imagingnatural sciencesmathematicsapplied mathematicsmathematical model Programma(i) FP5-HUMAN POTENTIAL - Programme for research, technological development and demonstration on "Improving the human research potential and the socio-economic knowledge base" (1998-2002) Argomento(i) 1.4.1.-1.1. - Research Training Networks Invito a presentare proposte Data not available Meccanismo di finanziamento NET - Research network contracts Coordinatore NATIONAL RESEARCH COUNCIL OF ITALY Contributo UE Nessun dato Indirizzo Via de Marini 6 16149 GENOVA Italia Mostra sulla mappa Costo totale Nessun dato Partecipanti (12) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto AACHEN UNIVERSITY OF TECHNOLOGY Germania Contributo UE Nessun dato Indirizzo Templergraben 55 52056 AACHEN Mostra sulla mappa Costo totale Nessun dato CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE Francia Contributo UE Nessun dato Indirizzo Rue F. Joliot Curie, 39 13453 MARSEILLE Mostra sulla mappa Costo totale Nessun dato INSTITUT NATIONAL POLYTECHNIQUE DE GRENOBLE Francia Contributo UE Nessun dato Indirizzo Domaine Universitaire 38041 GRENOBLE Mostra sulla mappa Costo totale Nessun dato POLITECNICO DI TORINO Italia Contributo UE Nessun dato Indirizzo Corso Duca degli Abruzzi 24 10129 Torino Mostra sulla mappa Costo totale Nessun dato RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAET BONN Germania Contributo UE Nessun dato Indirizzo Wegelerstrasse 6 53115 BONN Mostra sulla mappa Costo totale Nessun dato SWISS FEDERAL INSTITUTE OF TECHNOLOGY ZUERICH Svizzera Contributo UE Nessun dato Indirizzo 101,Raemistrasse 101 8092 ZURICH Mostra sulla mappa Costo totale Nessun dato TECHNISCHE UNIVERSITAET CHEMNITZ Germania Contributo UE Nessun dato Indirizzo Reichenhainerstraße 41 09107 CHEMNITZ Mostra sulla mappa Costo totale Nessun dato THE BOARD OF REGENTS OF THE UNIVERSITY OF WISCONSCIN SYSTEMS Stati Uniti Contributo UE Nessun dato Indirizzo West Dayton Street, 1210 53706 MADISON Mostra sulla mappa Costo totale Nessun dato UNIVERSITAT DE VALENCIA Spagna Contributo UE Nessun dato Indirizzo 50,C/Dr. Moliner 50 46100 BURJASOT Mostra sulla mappa Costo totale Nessun dato UNIVERSITE PIERRE ET MARIE CURIE - PARIS VI Francia Contributo UE Nessun dato Indirizzo rue du Chevaleret 175 75013 PARIS Mostra sulla mappa Costo totale Nessun dato UNIVERSITY OF WALES - BANGOR Regno Unito Contributo UE Nessun dato Indirizzo Dean Street LL57 1UT BANGOR (GWYNEDD) Mostra sulla mappa Costo totale Nessun dato UTRECHT UNIVERSITY Paesi Bassi Contributo UE Nessun dato Indirizzo 6,Budapestlaan 6 3508 TA UTRECHT Mostra sulla mappa Costo totale Nessun dato